if 13 is added 101 times, the resulting number will be?
A)114
B)a factor of 13
C)A multiple of 13
D)A prime number​

Answers

Answer 1

Answer:

c a multiple of 13

Step-by-step explanation:

Answer 2

The resulting number will be a multiple of 13 if 13 is added 101 times option (C) A multiple of 13 is correct.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

if 13 is added 101 times:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

= 13 + 13 + 13 + 13 ...... 101 times

Sequence can be defined as the systematic way of representing the data that follows a certain rule of arithmetic.

= 101×(13)

Thus, the resulting number will be a multiple of 13 if 13 is added 101 times option (C) A multiple of 13 is correct.

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Related Questions

Ruby was paid $24 to sweep 4 walks which of the following can be represented by an equivalent ratio ?

•$6 to sweep 1 walk
•$12 to sweep 3 walks
•$30 to sweep 5 walks

Answers

Answer:

$6 to sweep 1 walk

Step-by-step explanation:

$24 : 4 walks can be simplified by dividing both sides by 4.

24/4:4/4=6:1

ChoiceA- f(x)axhk ChoiceB- f(x)axh2 k
ChoiceC- f(x)ax3 bx2 cxd ChoiceD- f(x)a xhk
ChoiceE- f(x) a k xh
Requirements:
*a should never equal 0
*h and k can’t both be 0
*b, c, and d can’t all be 0 *Can’t duplicate any values
TASK #2
1) Select 4 of the 5 graph choices to the left.
2) Fill in values/numbers for the generic equations, replacing variables
a, h, and k or a, b, c, and d as necessary, to create actual equations that can be graphed. You may use your calculator to help. Write this equation at the top of the graph page you use. Recommendation - use small #s☺(keep between -5 and 5)
3) Graph each of the 4 chosen graphs A - E, one on each of the graphs provided, #1 - 4. You may use your calculator to help. Requirements:
*Be sure that part of the graph drawn on its selected graph paper is actually located in the shaded region on the graph you choose. If not, select a different graph paper #1-4 or select different values/numbers for your equation. You may graph any of the equation choices on any of the graph papers.
*You must graph the entire function on the given graph paper for
the domain  15, 15 if the range is also between  15, 15. A
domain interval of at least 15 units wide must be present on the
graph.
4) Answer the questions below Graphs #1-4 in the spaces provided.
1) Take each shaded region (covering a domain interval of 5 units) of graphs 1-4 and graph ONLY that region from that graph onto Graph #5. (You should have a funky looking graph.) Be careful on the endpoints of your graph segment that you either graph a closed dot if including that value or an open dot if you are not including that value – see the domain intervals listed on the bottom of Graph #5 for help!
2) Fill in the information and answer the questions following the graph.
RUBRIC (Turn one copy in with your project):
Graph #1: Graph #2 Graph #3 Graph #4 Graph #5 Comments:
Equation: ____/1 Equation: ____/1 Equation: ____/1 Equation: ____/1 Equations: ____/4
Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/8 Graph: _____/6
Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/11 = /20 Questions: _____/10 = /20
TOTAL ______/100

Answers

did you ever complete this?  

Step-by-step explanation:

If you ddi please send it to me

How many solutions does the system of equations have Y = 4x+3 and 2Y-8x = 3

Answers

Answer:

The system has no solution.

Step-by-step explanation:

Write the system as

y - 4x =3

2y - 8x = 3

The 2nd equation can be written as

2(y - 4x)

and the system would be

y - 4x =3

2(y - 4x) = 3

Now, call y -4x = z. Then we would have the system

z = 3

2z = 3

But if z =3 then 2z = 6 and we have a contradiction.

We conclude that the system has no solution.

A regular section of land made up of wheat farms has a length of 5x10^4 and the width of 6x10^3 what is the area of the length in square meters?

Answers

Answer:

The Area of land is 30 × [tex]10^{7}[/tex] meters² .

Step-by-step explanation:

Given as :

The length of rectangular wheat farm land = L = 5 × [tex]10^{4}[/tex]  meter

The width of rectangular wheat farm land = w = 6 × [tex]10^{3}[/tex]  meter

Let The Area of land = A meters²

Now, According to question

∵ Land is in rectangular shape

And we know, Area of rectangle = length × width

Area of land =  Area of rectangle = length × width

Or, A = L × w

Or, A = 5 × [tex]10^{4}[/tex]  meter × 6 × [tex]10^{3}[/tex]  meter

Or , A = 30 × [tex]10^{4+3}[/tex]

i.e A = 30 × [tex]10^{7}[/tex]  meters²

So, The Area of land = A  = 30 × [tex]10^{7}[/tex] meters²

Hence,The Area of land is 30 × [tex]10^{7}[/tex] meters² . Answer

What is the answer to 2*3(15-5+3)4*4-6

Answers

Answer:

1242

Step-by-step explanation:

[tex]1. \: 6(15 - 5 + 3)4 \times 4 - 6 \\ 2. \: 6(10 + 3)4 \times 4 - 6 \\ 3. \: 6(13)4 \times 4 - 6 \\ 4. \: 78 \times 4 \times 4 - 6 \\ 5. \: 312 \times 4 - 6 \\ 6. \: 1248 - 6 \\ 7. \: = 1242[/tex]

The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each person receives a phone call, that person has a list of three more people to call. The function c approximates the total number of calls made after m minutes since the start of the phone tree. c(m) = 3/2 * (3 ^ (m/10) - 1) Approximately how many minutes will it take for the number of calls to reach 363?

Answers

Answer:

50 Minutes.

Step-by-step explanation:

The function c approximates the total number of calls made after m minutes since the start of the phone tree.

[tex]c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)[/tex]

We need to find the number of minutes after which the total number of calls will 363.

Substitute c(m)=363 in the given function.

[tex]363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)[/tex]

Multiply 3/2 both sides.

[tex]363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)[/tex]

[tex]242=3^{\frac{m}{10}}-1[/tex]

Add 1 on both sides.

[tex]243=3^{\frac{m}{10}}[/tex]

[tex]3^5=3^{\frac{m}{10}}[/tex]

On comparing both sides we get

[tex]5=\frac{m}{10}[/tex]

Multiply both sides by 10.

[tex]50=m[/tex]

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.

Answer:

50 minutes

Step-by-step explanation:

In a grocery store’s circular, it states that plant-based meatless ground beef is on sale for $5.99/lb. If you buy a package that weighs 2.37 lbs, how much did it cost (round to the nearest cent)?

Answers

This package would cost $14:20

Explanation: You simply multiply the cost and the weight so 5.99*2.37 which equals 14.1963 and you round to the hundredth place being 9 since the number behind nine is 6 you round up making the cost 14.20

$5.99 divided by 100 = 0.0599

0.0599 x 237 = $14.19

Garrett brown bought $200,000 of term life insurance at the rate of $5.40 per thousand dollar unit how much is the annul premium

Answers

Answer:

The annual premium will be =  $1080

Step-by-step explanation:

Total life insurance term amount = $200,000

The term life insurance rate per $1000 = $5.40

Let’s divide total term amount i.e. $200,000 by $1000 unit to get the total number  of $1000 units in $200,000

So, $200,000 ÷ $1000 = 200

So, it is clear that 200 would be the total number of $1000 units in total term life  insurance amount of $200,000.

Therefore, if rate per unit $1000 is $5.40, then we must have to multiply $5.40 by 200 to find the  annual premium as the total number of $1000 units in total term life insurance amount  

of $200,000 is 200.  

So, $5.40 × 200 = $1080

Hence, the annual premium will be = $1080

Keywords: insurance, premium, annual premium

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Find an ordered pair ( x, y ) that is a solution to the equation. 3x+y=7

Answers

Answer:

2,1

Step-by-step explanation:

y=-3x+7

y=-3(2)+7

y=-6+7

y=1

so (2,1)

The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. What is the length and width of the rectangle?

Answers

Answer:

Width [tex]10y^6[/tex] units

Length [tex]7y^2+3[/tex] units

Step-by-step explanation:

The rectangle has an area of [tex]70y^8+30y^6.[/tex]

The width of the rectangle is equal to the greatest common monomial factor of [tex]70y^8[/tex] and [tex]30y^6.[/tex] Find this monomial factor:

[tex]70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6[/tex]

Hence, the width of the rectangle is [tex]10y^6[/tex] units.

The area of the rectangle can be rewritten as

[tex]10y^6(7y^2+3).[/tex]

The area of the rectangle is the product of its width by its length, then the length of the rectangle is [tex]7y^2+3[/tex] units.

write the equation of a line that passes through the point -5,-4 and has a slope of 1/5.

Answers

Here is the answer for ur question

Please please need help on these two

Answers

Answer:

( f + g ) (x) = [tex] 2 x^{2}  + x - 4[/tex]

g(x) - f(x) = [tex] x^{2}  - 2 x - 4[/tex]

Step-by-step explanation:

f(x) = 4 x - 4 and g(x) = [tex] 2 x^{2} - 3 x[/tex]

( f + g ) (x) = f(x) + g(x)

                = [tex] 4 x - 4 + 2  x^{2}  - 2 x[/tex]

                = [tex] 2 x^{2} + x -4[/tex]

   2.  g(x) = [tex] x^{2}  + 1[/tex] and f(x) = 2 x + 5

g(x) - f(x) = [tex] x^{2}  + 1 - (2 x + 5)[/tex]

              = [tex] x^{2}  + 1 - 2 x - 5[/tex]

              = [tex] x^{2}  - 2 x - 4[/tex]

In each pair, tell if the fractions are equal by using cross multiplication.
a. 5/30 and 1/6
b.4/12 and 21/60
c. 17/34 and 41/82
d. 6/9 and 25/36​

Answers

Answer:

a. 5/30 and 1/6 ---> are equal

b.4/12 and 21/60 ---> are not equal

c. 17/34 and 41/82 ---> are equal

d. 6/9 and 25/36​ ---> are not equal

Step-by-step explanation:

case a) we have  5/30 and 1/6

equate the fractions

[tex]\frac{5}{30}=\frac{1}{6}[/tex]

using cross multiplication

[tex](5)(6)=(30)(1)[/tex]

[tex]30=30[/tex] ----> is true

therefore

The fractions are equal

case b) we have  4/12 and 21/60

equate the fractions

[tex]\frac{4}{12}=\frac{21}{60}[/tex]

using cross multiplication

[tex](4)(60)=(21)(12)[/tex]

[tex]240=252[/tex] ----> is not true

therefore

The fractions are not equal

case c) we have  17/34 and 41/82

equate the fractions

[tex]\frac{17}{34}=\frac{41}{82}[/tex]

using cross multiplication

[tex](17)(82)=(41)(34)[/tex]

[tex]1,394=1,394[/tex] ----> is true

therefore

The fractions are equal

case d) we have  6/9 and 25/36​

equate the fractions

[tex]\frac{6}{9}=\frac{25}{36}[/tex]

using cross multiplication

[tex](6)(36)=(25)(9)[/tex]

[tex]216=225[/tex] ----> is not true

therefore

The fractions are not equal

Answer:

a. The fractions are equal.

b. The fractions are not equal

c. The fractions are equal.

d. The fractions are not equal

Step-by-step explanation:

By definition, equivalent fractions have the same value, but they look different.

In order to verify if two fractions are equivalent, you can use Cross multiplication.

The procedure is: multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.

Then:

[tex]a.\ \frac{5}{30}=\frac{1}{6}\\\\5*6=1*30\\\\30=30\ (The\ fractions\ are\ equal)[/tex]

[tex]b.\ \frac{4}{12}=\frac{21}{60}\\\\4*60=21*12\\\\240=252\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]

[tex]c.\ \frac{17}{34}=\frac{41}{82}\\\\17*82=41*34\\\\1394=1394\ (The\ fractions\ are\ equal)[/tex]

[tex]d.\ \frac{6}{9}=\frac{25}{36}\\\\6*36=25*9\\\\216=225\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]

please help
Simplify.


(4a5b6)4




16a9b10

256a9b10

16a20b24

256a20b24

Answers

Answer:

256a^20b^24

Step-by-step explanation:

SOMEONE SEND HELPPP​

Answers

+ 10 is the missing step in the given chart.

Step-by-step explanation:

Given data from the Flow chart,

Start = 20,

End = 6,

Second Step is ÷ 5.

Let us form the given information into two equations,

Consider the missing value as X.

20+X=Y  ⇒1

Y÷5=6   ⇒2

where Y is the value of middle box.

From equation 1,

Y=6×5

Y=30.

From equation 2,

20+X=30.

X=30-20.

X= 10.

Thus + 10 is the missing step.

7x(x+1.8)=0 I have tried -1.8 and 0, they did not work.

Answers

Answer:

x= -12.6/7. you may try this

Good evening ,

Answer:

The solutions of the equation 7x(x+1.8)=0 are -1.8 and 0.

Step-by-step explanation:

7×(0)×[(0)+1.8] = 0×[1.8] = 0×1.8 = 0

7×(-1.8)×[(-1.8)+1.8] = 7×(-1.8)×[0] = 7×(-1.8)×0 = 0.

:)


1

f
(

8
)

4

g
(
4
)
=
−1⋅f(−8)−4⋅g(4)=

Answers

Answer:

-7

Step-by-step explanation:

Final answer:

The question is a mathematics problem related to evaluating functions, but it cannot be answered without additional information about the functions f and g.

Explanation:

The question asks for the result when evaluating two functions f and g at given arguments and then combining these evaluated results with given coefficients. Specifically, it asks to compute the value of − 1 ⋅ f(− 8) minus 4 ⋅ g(4). However, without additional information about the functions f and g, it's not possible to calculate the exact numeric answer. Students usually encounter this type of problem while learning about functions and their evaluations in algebra.

7. Which of the following equations illustrates the associative property of addition?
(1) (3+7)+(2+8)=(7+3)+(8+2)
(2) (5)(3-4)=(5-3)(4)
(3) (4+5)+5 = 4 +10
(4) 2(5+4)=10+8
3​

Answers

Answer:

3.  (4+5)+5 = 4 +10  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

The associative property of addition is given as:

For any three numbers A, B and C

(A +B) + C = A + ( B+ C)

Here, the ORDER OF ADDITION is not important, answer is always the SAME.

Now, in the following given expressions:

1.  (3+7)+(2+8)=(7+3)+(8+2)

Here, ( 3+ 7)in L H S is replaced with ( 7 + 3) in R H S

Similarly,  ( 2+ 8)in L H S is replaced with (8 + 2) in R H S

Hence, the given expression is expresses the Commutative PROPERTY OF ADDITION.

2. (5)(3-4)=(5-3)(4)

Here, the operation between 5 and (3-4) is MULTIPLICATION

Hence, the given expression DO NOT expresses the ASSOCIATIVE PROPERTY OF ADDITION.

3.  (4+5)+5 = 4 +10

Here, the form of ASSOCIATIVE PROPERTY OF ADDITION is

(4 +5 )+5  = 4 + (5 + 5)  = 4 + (10)

So, the given expression expresses the ASSOCIATIVE PROPERTY OF ADDITION.

4.  2(5+4)=10+8

Here, the operation between 2 and (5 + 4) is MULTIPLICATION

Hence, the given expression DO NOT expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Final answer:

The associative property of addition means the way numbers are grouped in an addition does not change the sum. From the given equations, equation (1) illustrates this property as shown by the same results 20 in both groupings (3+7)+(2+8) or (7+3)+(8+2).

Explanation:

The associative property of addition is a property in Mathematics that states that the way in which numbers are grouped when added does not change the sum. From the given equations, equation (1) (3+7)+(2+8)=(7+3)+(8+2) perfectly shows this property. It demonstrates that it doesn't matter how we group the numbers when we're adding them - the result will be the same.

For example, in equation (1), (3+7)+(2+8), if we add the numbers in brackets first, we get 10 + 10 = 20. This is the same result we get if we re-group the numbers like this: (7+3)+(8+2), that is, 10 + 10 = 20.

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WILL GIVE BRAINLIEST . (06.02) Which of these is the algebraic expression for "eight less than some number?" (3 points) 8 − b b − 8 Fraction 8 over b Fraction b over 8

Answers

Answer: b - 8

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 60 sandwiches in all, 90% of which were turkey. How many turkey sandwiches did the cafeteria make?

Answers

Answer:

3

Step-by-step explanation:

Give me brainliest

Answer:

54 sandwiches were Turkey.

60 x .94 = 54

Step-by-step explanation:

Find the smaller of two consecutive integers,x, if the sum of the smaller and two times larger is 14. Write an equation and solve

Answers

Answer:

4

Step-by-step explanation:

Consecutive integers are  e.g.  1, 2, 3, 4, ...

So they are 1 units apart.

If we let one of the integers be "x", then the next consecutive one would be "x + 1".

x is the smaller

x + 1 is the larger

of the two...

Now,

The sum of smaller (x) and 2 TIMES larger (x + 1) is 14, so we can write:

[tex]x+2(x+1)=14[/tex]

We use algebra and solve for x:

[tex]x+2(x+1)=14\\x+2x+2=14\\3x=14-2\\3x=12\\x=4[/tex]

So, the two numbers is 4  &  5

smaller of the two numbers is "4"

Final answer:

To find the smaller of two consecutive integers where the sum of the smaller and two times the larger is 14, set up the equation x + 2(x + 1) = 14 and solve for x to find that the smaller integer is 4.

Explanation:

To find the smaller of two consecutive integers x, when the sum of the smaller and two times the larger is 14, we can set up a simple algebraic equation. Let x be the smaller integer; then the larger integer is x+1. The equation based on the given information is:

x + 2(x + 1) = 14

Now, let's solve for x:

x + 2x + 2 = 143x + 2 = 143x = 14 - 23x = 12x = 12 / 3x = 4

Therefore, the smaller consecutive integer is 4.



Two cars start from the same place driving at the same rate, one heading north and the other heading east. After two hours the car heading north has traveled 150 miles and the car heading east has traveled 100 miles. How far apart are the cars at this time?
A) 111.8 miles
B) 180.3 miles
C) 250 miles
D) 350 miles

Answers

Answer:
B: 180.3

Step-by-step explanation:

A^2 + B^2 = C^2
150^2 + 100 ^2 = 32500
square root of 32500
180.3

WHO EVER CAN FIGURE THIS OUT GETS THE BRAINLIEST
(34+65)X(98-123)

Answers

Answer:

-2475

Step-by-step explanation:

The answer is -2475 I think

Whats the Answer y=10 4x-5y=3

Answers

4x-5y=3
4x-5(10)=3
4x-50=3
+50 +50
4x=53
/4 /4

x=53/4

Ava and Addison are saving for a new cell phone. Ava is starting at 100$ and adding 5$ each week.Addison is starting with 200$ and is adding 4$ each week. Write and solve a problem that can be used to find out after how many weeks Ava and Addison will have the same amount of money saved?

Answers

Answer:

The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks .

Step-by-step explanation:

Given as :

The amount of money having with Ava at starting = $100

The money that Ava is saving each week = $5

The amount of money having with Addison at starting = $200

The money that Addison is saving each week = $4

Now, Let The numbers of weeks for which both Ava and Addison have same amount of money saved = n weeks

Now, According to question

The amount of money having with Ava at starting + (The money that Ava is saving each week × numbers of weeks) = The amount of money having with Addison at starting + (The money that Addison is saving each week × numbers of weeks)

Or, $100 + $5 × n = $200 + $4 × n

Or, $5 × n - $4 × n = $200 - $100

Or, n = 100

So,  The numbers of weeks for which both Ava and Addison have same amount of money saved = n = 100 weeks

Hence,The numbers of weeks for which both Ava and Addison have same amount of money saved is 100 weeks . Answer

What is the equation of a line that passes through points (0,4) and (-4,-8)? Y=2x+4, y=2x-4, y=3x+4, y=3x-4

Answers

Answer:

(-8 - 4)/(-4 - 0) = -12/-4= 3

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y = 3x + 4

the answer is c

Adrian just got hired for a new job and will make $66,000 in his first year. Adrian was told that he can expect to get raises of $5,000 every year going forward. how much money in salary with Adriene make in his 26th year working at this job? round to the nearest 10th (if necessary).

Answers

Answer:

Adrian would make $196000 in his 26th year working.

Step-by-step explanation:

Adrian salary in first year = $66,000

As Adrian is expected to get raises of $5,000 every year going forward.

Here is the sequence of Adrian's raises:

5,000, 10000, 15000, 20000, 25000 .....

As the common difference between consecutive terms is constant.

d = 10000 -  5,000 = 5,000 ⇒ d = 15000 -  10000 = 5,000

So, Adrian's raises is in Arithmetic sequence.

a₁ = 5,000

n = 26

[tex]{\displaystyle \ a_{n}=a_{1}+(n-1)d}[/tex]

Put n = 26 to get the total amount of salary raises in Adrian's 26th year.

[tex]{\displaystyle \ a_{26}=5000+(26-1)5000}[/tex]

[tex]{\displaystyle \ a_{26}=5000+(25)5000}[/tex]

[tex]{\displaystyle \ a_{26}=5000+125000}[/tex]

[tex]{\displaystyle \ a_{26}=130000}[/tex]

Total raises amount after 26th year = $130000

Adding total raises after 26th year to the initial salary would let us figure out the total salary Adrian would make in his 26th year.

So,

Total Salary after 26th year = initial salary + total raises of 26 years

                                              = 66000 + 130000

                                              = $196000

So, Adrian would make $196000 in his 26th year working.

Keywords: arithmetic sequence, salary, raises, common difference

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x+6/x+2=x+3/x-5

a. x=1
b. x=5
c. x=-9
d. x=-8​

Answers

[tex]\dfrac{x+6}{x+2}=\dfrac{x+3}{x-5}\qquad\qquad\text{cross multiply}\\\\(x+6)(x-5)=(x+2)(x+3)\\\\x^2-5x+6x-30=x^2+3x+2x+6\\\\x^2+x-30=x^2+5x+6\\\\x^2+x-x^2-5x=6+30\\\\-4x=36\quad|:(-4)\\\\\boxed{x=-9}[/tex]

Answer C.

A high school drama club is putting on their annual theater production there is a maximum of 800 tickets for the show the cost of the tickets are six dollars before the day of the show and nine dollars on the day of the show to meet the expenses of the shelf book club must sell at least $5000 worth of tickets

Answers

Answer:

Step-by-step explanation:

a.) Let x be the number of tickets sold before the event and y the number of tickets sold on the day of the event. Then x + y =< 800 and 6x + 9y >= 5000. (b.) Suppose the club sold 440 tickets before the event, i.e. x = 440, maximum number of tickets remaining to be sold = 800 - 440 = 360. Maximum amount realized from the sales supposing all tickets were sold = 6(440) + 9(360) = 2640 + 3240 = $5880 which is greater than $5000. Therefore, it is possible for the club to sell enough additional tickets on the day of the show to meet the expenses of the show.

HOPE THIS HELPED ;3

Which expression can be used to check the answer to 56 divided by negative 14 =n

Answers

Answer:

n=-4

Step-by-step explanation:

n=56/-14

n=-4

Other Questions
Suppose you are working for a firm producing cotton balls an industry for which there are many different firms producing an identical product. The market price is $20 per case of cotton balls, and the firm is currently producing 30 cases. As the manager tasked with making production decisions for the firm, you begin by estimating the cost function, and find that the cost function is given by: c(????) = 10 + ???? + 1/3 ????^2 .a. Is this a short run or long run cost function?b. What adjustments to the production decisions would you make to increase profits?c. Given your recommendation to (b) above, by how much would the firms profits increase? In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths of triangle ACD are b, h, and r, and the side lengths of triangle CBD are a, s, and h.Which proportions are true?A) c/a = a/s and c/b = b/rB) c/a = s/a and c/b = r/bC) c/b = a/s and c/a = b/rD) c/b = s/a and c/a = r/b If a small number of tree frogs migrate to a mat of vegetation that is already home to an established population of tree frogs and introduce new alleles into the native population's gene pool, this change is referred to as A the bottleneck effect. B directional selection. C genetic drift. D gene flow. An issue log is a document that identifies the specific issues that must be resolved before a particular project management meeting adjournsa. Trueb. False What types of nationalism can occur in lands when culturally distinct groups resist being added to a state or tries to break away? Romeo maintains his feelings towards Juliet despite the conflict between their families.Discuss what this detail tells us about love and identity. Politicians have an incentive to push the unemployment rate below the natural rate of unemployment right before their reelection because the: When words are insufficient to explain the quantitative relationship between two variables(i.e., stimulus andresponse, cause andeffect), economists often 1. spreadsheets2. flow charts3. mathematical equations which of the following methods of amending and revising the constitution are not used in texas? A.Part 1 ......Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale factor that describes a dilation from BC to FG? Give the exact scale factor and state whether the dilation is an expansion or a contraction.B.Part 2..... If side AB has length 17/26 what is the length of side EF? Give the exact, un-rounded value.C.Part 3........If the area of ABCD is 147 square inches, what is the area of EFGH? Give the exact answer.I would deeply appreciate it if you could explain how to find the answer(I'm specifically confused about scale factor and diagonals in part 1) and if you could do a step by step walk through. Will give Brainliest Answer! What is the next step in developing a Behavior Support Plan? Mr. Williams has noticed that student in his fourth-period class has been exhibiting some inappropriate behaviors. Mr. Williams has attempted to correct the behavior using evidence-based behavior management programs, but Joseph continues to exhibit the behaviors. Mr. Williams and the IEP team have decided to develope a Behavior Support Plan for Joseph.A. Conduct a functional assessmentB. ScreeningC. Conduct a functional analysisD. Identify the target behavior Which techniques does President Reagan use in this excerpt? Select three options. pathosethos shift understatement overstatement The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?a $60b $80c $90d $100 Juan fode his bike 2/3 mile to school,1/3 mile to the library,2/3 mile home far did he ride altogether A rat receives food when it lever presses in the presence of a 1100 Hz tone, but not in the presence of a 1300 Hz tone. The 1100 Hz tone is an ________, while the 1300 Hz tone is an ________. If f(x) = 10x + 7 and g(x) = x^2 - 7x, find (f - g)(x)A. (f - g)(x) = x^2 + 3x + 7B. (f - g)(x) = 10x^3 - 63x^2 - 49xC. (f - g)(x) = -x^2 + 17x + 7D. (f - g)(x) = 10x + 7 True or False? A small sphere of mass 1 kg is attached to the end of a cord of length 1 m and rotated in a vertical circle about a fixed point O. If the speed at the uppermost point of the trajectory is 1 m/s, the sphere will have a circular trajectory (will move in a circle).Use g = 9.8 m/s. Which expression is the simplest form of 2(4x + 3) + 3(x - 63) + x??OOOA. x2 +11x-17yB. x2 + 11x- 4yC. x2 + 9x-17yD. x2 +11x-16y An equation of a line perpendicular to y=2/3x-6 Challenge question: This question is worth 6 points. As you saw in problem 9 we can have species bound to a central metal ion. These species are called ligands. In the past we have assumed all the d orbitals in some species are degenerate; however, they often are not. Sometimes the ligands bound to a central metal cation can split the d orbitals. That is, some of the d orbitals will be at a lower energy state than others. Ligands that have the ability to cause this splitting are called strong field ligands, CN- is an example of these. If this splitting in the d orbitals is great enough electrons will fill low lying orbitals, pairing with other electrons in a given orbital, before filling higher energy orbitals. In question 7 we had Fe2+, furthermore we found that there were a certain number (non-zero) of unpaired electrons. Consider now Fe(CN)64-: here we also have Fe2+, but in this case all the electrons are paired, yielding a diamagnetic species. How can you explain this?A. There are 3 low lying d orbitals, which will be filled with 6 electrons before filling the 2, assumed to be degenerate, higher energy orbitals.B. There are 4 low lying d orbitals, which will be filled with 8 electrons before filling the 1 higher energy orbital.C. There is 1 low lying d orbital, which will be filled with two electrons before filling the 4, assumed to be degenerate, higher energy orbitals.D. All the d orbitals are degenerate.E. There are 2 low lying d orbitals, which will be filled with 4 electrons before filling the 3, assumed to be degenerate, higher energy orbitals.