Answer:
They bought 3 hot dogs and 5 drinks
Step-by-step explanation:
Well, its mostly guess and check.
x=hot dogs y= drinks x+y=8
2x + 1y =11
2(1) + 1(7) = 9 (wrong answer)
2(2) + 1(6)= 10 (wrong answer)
2(3) + 1(5) = 11 (right answer)
The reason I pick these numbers is because the x and the y need to add up to 8 and as you can see on each try they added up to 8 but it also had the equation itself had to add up to $11. So, you substitute the numbers that add up to 8 to x and y to make sure the equation equals 11.
Final answer:
Keisha and her friends purchased 3 hotdogs and 5 drinks at the concession stand. This was determined by setting up a system of equations based on the given costs for items and the total amount spent and solving for the variables representing hotdogs and drinks.
Explanation:
To solve Keisha's concession stand problem, we need to use a system of equations. Let's define two variables: x for hotdogs and y for drinks. According to the problem, the friends bought a total of 8 items for $11. The price is $2 per hotdog and $1 per drink. We can set up the following equations:
1) x + y = 8 (for the total number of items)
2) 2x + y = 11 (for the total cost)
Solving the system, we can subtract the first equation from the second to find the number of hotdogs:
2x + y - (x + y) = 11 - 8
x = 3
Now, we substitute x back into the first equation to find y:
3 + y = 8
y = 5
Therefore, Keisha and her friends bought 3 hotdogs and 5 drinks.
please also should work
Answer:
B 2 < x < 6
Step-by-step explanation:
six times an integer is between 12 and 36. Between does not include so we use < not ≤
12 < 6x < 36
Divide all sides by 6
12/6 < 6x/6 < 36/6
2 < x < 6
f one plane is flying at 40 mph while another is flying at 100 mph, and they are 200 miles apart and flying directly towards each other, how long will it take them to meet?
Answer:
t = 1 3/7 hours
Step-by-step explanation:
For plane 1
distance = rate *t
d1 = 40 *t
For plane 2
distance = rate * time
d2 = 100 * t
We know that d1+d2 = 200 (the planes will meet)
We know that the times will be the same because the leave at the same time.
Substitute in d1 =40t and d2 = 100t into d1+d2 = 200
d1+d2 = 200
40t + 100t = 200
Combine like terms
140t = 200
Divide each side by 140
140t/140 = 200/140
t= 200/140
t= 20/14
t = 10/7
t = 1 3/7 hours
Answer:
1 3/7 hours is the answer :)
Step-by-step explanation:
{EASY POINTS} Write the converse of the conditional statement.
If it is January, then there are 31 days this month.
| Not True False, Converse |
Answer:
If there are 31 days in this month, it is January
Step-by-step explanation:
The converse of a statement is when you switch the conclusion with the hypothesis. If you do this, you get:
If there are 31 days in this month, it is January.
This is false btw. December has 31 days, and it's not January
The converse of the statement 'If it is January, then there are 31 days this month' is 'If there are 31 days this month, then it is January'. This is done by reversing the order of the 'if' (antecedent) and 'then' (consequent) parts of the statement.
Explanation:The converse of the conditional statement 'If it is January, then there are 31 days this month.' is 'If there are 31 days this month, then it is January.'
In a conditional statement, the order of the 'if', known as the antecedent, and the 'then', known as the consequent, makes up the statement's direction. The converse of a conditional statement simply flips or reverses this order. It's important to note that the truth of the original statement does not guarantee the truth of its converse.
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can someone please answer this or explain it?
The x in the formula is the depth.
You are given two different depths, replace x with the depths, solve for T, then subtract the to find the difference:
At 1200 meters the temperature is:
T = 4500/1200 = 3.75 degrees
At 3750 meters the temperature is:
T = 4500 / 3750 = 1.20 degrees.
The difference in temperature between the two depths is:
3.75 - 1.20 = 2.55 degrees C.
Which of these sets of numbers contain all rational numbers?
A. π, 1/2, -13
B. -3.0541...,√99, 0.14363
C. -6, -√225, 4 7/8
D. √21, 0.75, 0
The answer is C, -6, -√225, 4 7/8.
Rational means that the number can be expressed as a fraction and integer numerators and denominators. -6 and 4 7/8 can clearly be expressed as a fraction. -6 can be expressed as -6/1 and 4 7/8 can be expressed as 39/8.
-√225 is equivalent to -15, which is rational.
A is wrong because the number includes Pi.
B is wrong because -3.0541 never ends and √99 is irrational.
D is wrong because √21 is also irrational.
The Set C. -6, -√225, 4 7/8 is the only set that contains all rational numbers.
Explanation:The set of rational numbers consists of numbers that can be expressed as a fraction of two integers. To determine which set of numbers contains all rational numbers, we need to check if all the numbers in each set can be expressed as a fraction.
In set A, only 1/2 is a rational number.
In set B, -3.0541... and 0.14363 can be expressed as fractions, but √99 cannot.
In set C, -6, -√225, and 4 7/8 can all be expressed as fractions.
In set D, √21 is not a rational number, while 0 and 0.75 are rational numbers.
Therefore, set C is the only set that contains all rational numbers.
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Someone help me graph this!
Answer:
In the attachment!!
Hope this helps!!
Am I right?
I want to know if I am right
Answer:
B $13
Step-by-step explanation:
Julie has 16.73 That is approximately 17 dollars
She buys a purse that is 4.12. That is approximately 4 dollars
17 -4 = 13
She will have approximately 13 dollars left
Stephen uses \dfrac{2}{25} 25 2 kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1 10 1 kilograms of tofu. How many servings can Stephen make?
Answer:
13 3/4 servings
Step-by-step explanation:
Stephen has 1 1/10 kg of tofu.
He uses 2/25 kg in each serving.
We will divide to figure out how many servings he can make
1 1/10 ÷ 2/25
We need to change the mixed number 1 1/10 to an improper fraction
1 1/10 = (10*1 + 1) /10 = 11/10
11/10 ÷2/25
Copy dot flip
11/10 * 25/2
275/20
Divide the top and bottom by 5
55/4
We will change this back into an improper fraction
4 goes into 55 13 times with 3 left over
13 3/4
He can make 13 3/4 servings
Which system of inequalities is shown? A.y2 B.yx y<2 D.y>x y>2
Answer: y > x, y > 2
The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.
The other inequality is y > x because we shade above the dashed boundary line y = x, which is that slanted dashed line.
Combining the two regions of y > 2 and y > x leads to what is shown.
Final answer:
The question regarding systems of inequalities is incomplete, but linear inequalities like y < x or y > 2 can be graphically represented. The same is true for linear equations, with options A, B, and C all depicting linear forms.
Explanation:
The question which system of inequalities is shown seems to be missing some context or parts, but in general, inequalities can be represented on a graph and used to describe the relationship between variables. When dealing with linear inequalities, such as y < x or y > 2, these can be shown graphically with a line dividing the plane into two regions: one where the inequality is true and the other where it is false. For instance, y < x would be represented by a line that slopes upward to the right, and the region below this line (where y is less than x) is shaded. Similarly, for y > 2, a horizontal line is drawn at y=2, and the area above this line is shaded, indicating where y is greater than 2.
When looking at linear equations, all the options A. y = -3x, B. y = 0.2 + 0.74x, and C. y = -9.4 - 2x are indeed linear, as they can all be written in the form y = mx + b, where m and b are real numbers and represent the slope and y-intercept of the line, respectively.
which linear function represents a slope of 1/4
Answer: The second option represents a slope of 1/4
Step-by-step explanation:
To find slope, select two points along the line and plug them into this equation: (y2-y1)/(x2-x1)
We'll take the two points in the second graph and plug them into the equation above: (4-3)/(4-0)= 1/4
Therefore, the second option represents a slope of 1/4. Hope this helps:)
Answer:
(B) would be the best answer choice
Step-by-step explanation:
which expression ae equivalent to this expresion 4x + 4
Answer:
4 (x + 1)
Hope That Helps!
If p(x) is a cubic polynomial with zeros at -3,-1, and 2, and p(0)=6, find p(x).
Answer:
[tex]p(x)=-x^3-2x^2+5x+6.[/tex]
Step-by-step explanation:
If a cubic polynomial has zeros [tex]x_1,\ x_2,\ x_3,[/tex] then it has a form
[tex]p(x)=a(x-x_1)(x-x_2)(x-x_3).[/tex]
In your case, zeros are -3, -1 and 2, then the polynomial is
[tex]p(x)=a(x-(-3))(x-(-1))(x-2),\\ \\p(x)=a(x+3)(x+1)(x-2).[/tex]
If [tex]p(0)=6,[/tex] then
[tex]p(0)=a(0+3)(0+1)(0-2)=6,\\ \\-6a=6,\\ \\a=-1[/tex]
and
[tex]p(x)=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6.[/tex]
Two movie tickets and 3 snacks are $24. Three movie tickets and 4 snacks are $35 how much is a movie ticket and how much is a
Answer:
A movie ticket costs $9.
A snack costs $2.
Step-by-step explanation:
So the word problem is asking us to find the cost of a movie ticket and a snack, therefore we will label the cost of a movie ticket as "m" and the cost of a snack as "s".
In the word problem we are given two equations:
2m (movie ticket cost) + 3s (snack cost) = $24
&
3m (movie ticket cost) + 4s (snack cost) = $35
To figure out the cost of a snack we need to get the variables in both equations to be "opposites", so we use substitution.
We multiply everything in the first equation by 3 which gives us:
6m + 9s = $72
And in order to make the other equation the opposite we multiply everything in the second equation by -2 giving us:
-6m + -8s = $-70
Now we add both equations since the variables for m are opposites.
6m + 9s = $72
+ -6m + -8s = $-70
s = $2
Now we put s back into one of our original equations and to do that I am going to use 2m + 3s = $24
2m + 3s (2) = $24 ----> 2m + 6 = $24
Now, in order to get the value of m, we need to get rid of the 6 by subtracting 6 from both sides of the equation.
2m= $18
Now we divide by 2 on both sides to get m by its self.
m= $9
And to check to make sure we are right:
2m (9) + 3s (2) = $24
$18 + $6 = $24 (true)
A movie ticket costs 9$ and a snack costs 2$.
A movie ticket costs $6 and a snack costs $4.
To solve this problem, we can set up a system of linear equations based on the information given. Let's denote the cost of a movie ticket as t and the cost of a snack as s.
From the question, we have two equations:
1. For two movie tickets and three snacks, the total cost is $24:
[tex]\[ 2t + 3s = 24 \][/tex]
2. For three movie tickets and four snacks, the total cost is $35:
[tex]\[ 3t + 4s = 35 \][/tex]
Now, let's solve this system of equations. We can start by isolating one of the variables in one of the equations. For example, we can solve the first equation for s:
[tex]\[ 2t + 3s = 24 \][/tex]
[tex]\[ 3s = 24 - 2t \][/tex]
[tex]\[ s = \frac{24 - 2t}{3} \][/tex]
Now we can substitute this expression for s into the second equation:
[tex]\[ 3t + 4\left(\frac{24 - 2t}{3}\right) = 35 \][/tex]
Multiplying through by 3 to clear the fraction, we get:
[tex]\[ 9t + 4(24 - 2t) = 105 \][/tex]
[tex]\[ 9t + 96 - 8t = 105 \][/tex]
[tex]\[ t = 105 - 96 \][/tex]
[tex]\[ t = 9 \][/tex]
Now that we have the cost of a movie ticket, we can substitute [tex]\( t = 9 \)[/tex] back into our expression for s:
[tex]\[ s = \frac{24 - 2(9)}{3} \][/tex]
[tex]\[ s = \frac{24 - 18}{3} \][/tex]
[tex]\[ s = \frac{6}{3} \][/tex]
[tex]\[ s = 2 \][/tex]
Therefore, a movie ticket costs $6 and a snack costs $4.
The complete question is
A group of friends bought 2 movie tickets and 3 snacks for a total of $24. Another group bought 3 movie tickets and 4 snacks for a total of $35. What is the cost of a movie ticket and the cost of a snack?
PLZ HURRY
Which graph represents the function f(x) = 2|x|?
Answer:c
Step-by-step explanation:
Answer: Hey he got it right it's C
Step-by-step explanation:
if x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
Answer:
x =7
Step-by-step explanation:
Remark
A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 .... Each term is multiplied by a common number and the term before it. In this case the common term is 3. To get the next term after 9, you multiply 9 by 3.To get the common ratio divide the second term by the first and then the third term by the secondEquation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
(x + 2)/(x - 4) = 3/1 Cross multiply(x + 2)*1 = 3*(x - 4) Remove the brackets on the right.x + 2 = 3x - 12 Add 12 on both sides.x + 2 + 12 = 3x - 12 + 12 Simplifyx + 14 = 3x Subtract x from both sides14 = 3x - x2x = 14 Divide by 2x = 14/2x = 7What is sin 60 degree
Answer: if talking square root, it is sqrt3/2. if talking decimals, it is about 0.87.
Answer:
Sine 60°= √3/2
=1.732/2
0.8660
Step-by-step explanation:
In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
From the triangle shown in the attachment
The sine of an angle =
Opposite/hypotenuse
Sine 60°= √3/2
=1.732/2
0.8660
HURRY 30 POINTS! The diameter of mercury is approximately 4.9x10^3 kilometers. The diameter of Saturn is 1.2x10^5 kilometers. About how many times greater is the diameter of Saturn than the diameter of Mercury?
2.4
24
240
2400
Answer:
The answer is 2.4
Step-by-step explanation:
Divide 1.2x10^5 by 4.9x10^3 and you should get the answer of 2.44.
Hope this helps
ik the answer but i need work to be shown help please
3x+4/5
-24+4/5=-20/5=-4
-4-4=-8.
-8+2(-8)=-8-16=-24 or B.
Evaluate - 2/5- x + (-9/10) where x = 4/5.
Answer:
- 2 1/10
Step-by-step explanation:
-2/5 -x -9/10
Let x = 4/5
-2/5 - 4/5 - 9/10
Combine like terms
-6/5 - 9/10
Get a common denominator of 10
-6/5 * 2/2 - 9/10
-12/10 - 9/10
-21/ 10
Change this to a mixed number
10 goes into 21 2 times with 1 left over
-2 1/10
Answer:
- 2 1/10
Step-by-step explanation:
which of these nunbers is composite? 3,5,19,71,85
Answer:
i think the answer is 85
hope this helps
Step-by-step explanation:
Answer:
85 is a composite number
Step-by-step explanation:
3 = 1 × 3
5 = 1 × 5
19 = 1 × 19
71 = 1 × 19
85 = 1 × 85 = 5 × 17
If you have two dependents what number of allowances should you claim on your W-4?
A 3
B 0
C 2
D 1
Ben used vector DE to translate triangle ABC. Ben made an error in his work. What is Ben’s error? If Ben had completed the translation properly, what would be the correct coordinates for each vertex (A’, B’, and C’) for the image?
Answer:
He translated them the wrong way.
It should of gone up 2 and right 2 not down 2 and left 2.
The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)
Please mark brainliest would rly help.
Step-by-step explanation:
HELP I NEED THESE QUESTIONS ANSWERED BEFORE THERE DUE PLZ HELP!!!!!!!
Answer:
Please, see the answers in the attached files.
Step-by-step explanation:
Please, see the attached files.
Thanks.
Solve for a in the equation a-17=42
Answer:
a = 59
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable (a). Add 17 to both sides
a - 17 = 42
a - 17 (+17) = 42 (+17)
a = 42 + 17
Simplify. Combine like terms
a = 42 + 17
a = 59
59 is your answer
~
Solve for a (this means they want you to get "a" by itself in the equation)
So:
a - 17 = 42 Add 17 on both sides to get "a" by itself
a - 17 + 17 = 42 + 17
a = 59
Solve the inequality graphically. 4^x > 2^x
A. x > 0
B. x < 0
C. x > 1
D. x < 1
Answer:
A. x > 0
Step-by-step explanation:
As long as the number (x) is a number greater than 0, the inequality would be correct. Take for example, 1 (a number greater than 0)
4^1 = 4; 2^1 = 2; 4 > 2
Another example is 2
4^2 = 16; 2^2 = 4; 16 > 4
etc.
~
Answer:
A. x > 0
Step-by-step explanation:
see graph
4^x > 2^x
Replace 4 with 2^2
2^2^x > 2^x
a^b^x = a^(b*c) so
2^ 2x > 2^x
If the bases are the same, the exponents must keep the same ratio
2x>x
This is true if x>0
Mrs. fam bought 4 1/4 pounds of ham for $17. At rate,What is the cost of 1 pound of sliced ham?
In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Harry is _ years old, and Jim is _ years old.
Please Help!
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
set up the equations. let harry be h and jim be j.
h+4=j
j+2=2(h+2)
plug in the j from the first equation.
you should get h=2 (harry is two years old)
if h+4=j, 2+4=j. so j=6 (jim is six years old)
Answer:
Harry is 2 years old and Jim is 6 years old.
Step-by-step explanation:
Let x years be Harry's age now and y years be Jim's age now.
1. In 4 years, Harry’s age will be x+4 years. If in 4 years, Harry’s age will be the same as Jim’s age is now, then
[tex]x+4=y.[/tex]
2. In 2 years, Jim's age will be y+2 years and Harry's age will be x+2 years. If in 2 years, Jim will be twice as old as Harry will be, then
[tex]y+2=2(x+2).[/tex]
Solve the system of two equations:
[tex]\begin{array}{l}x+4=y\\y+2=2(x+2).\end{array}[/tex]
Substitute y=x+4 into the second equation:
[tex]x+4+2=2(x+2),\\ \\x+6=2x+4,\\ \\6-4=2x-x,\\ \\x=2[/tex]
and [tex]y=2+4=6.[/tex]
Please help with number 4. I dont understand and show work pls
Answer:
y = [tex]\frac{-2}{3} + 10[/tex]
Step-by-step explanation:
A line perpendicular to 2x = 1 - 3y has the same gradient (or slope). To find this we must isolate the y:
Move the -3y over to the other side making it a +3y:
3y + 2x = 1
Move the +2x over to the other side making it a -2x:
3y = -2x + 1
Divide everything by 3:
y = [tex]\frac{-2}{3}x + \frac{1}{3}[/tex]
So the gradient is [tex]\frac{-2}{3}[/tex]
Now as the points are given, (9 , 4)
The equation of the line so far is:
y = mx + c
4 = [tex]\frac{-2}{3}[/tex](9) + c
4 = -6 + c
Move the -6 over making it a +6:
4 + 6 = c
c = 10
So that means the full equation is:
y = [tex]\frac{-2}{3} + 10[/tex]
HELP! Find the upper limit for the zeroes 2x^4-7x^3+4x^2+7x-6= 0
A. -1
B. 4
C. 5
Please explain!
Answer:
x = 2 or x = 1 or x = -1 or x = 3/2 thus from the answers given only A: applies
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 7 x^3 + 4 x^2 + 7 x - 6 = 0
The left hand side factors into a product with four terms:
(x - 2) (x - 1) (x + 1) (2 x - 3) = 0
Split into four equations:
x - 2 = 0 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 2 to both sides:
x = 2 or x - 1 = 0 or x + 1 = 0 or 2 x - 3 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0 or 2 x - 3 = 0
Subtract 1 from both sides:
x = 2 or x = 1 or x = -1 or 2 x - 3 = 0
Add 3 to both sides:
x = 2 or x = 1 or x = -1 or 2 x = 3
Divide both sides by 2:
Answer: x = 2 or x = 1 or x = -1 or x = 3/2
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000
to save for her retirement.
The account pays 5% interest annually.
No further deposit is made to the account and no withdrawals are made.
If Ann Marie retires on her 60th birthday and close the account at that time, how much interest would she have earned on her initial $25,000? (Round your answer to the nearest cent).
Answer:
On her 60th birthday, she would have earned $83048.5.
Step-by-step explanation:
The formula to calculate the compound interest is:
[tex]A=P(1+\frac{r}{100} )^{n}[/tex] --- (1)
where A is Principal and interest, r is the rate of interest and n is the number of years compounded.
For our problem,
P = 25000,
r = 0.05 and
n = 60 - 30 = 30
Substitute these values in (1), we get,
[tex]A=25000(1+0.05)^{30}[/tex]
[tex]=25000(1.05)^{30}[/tex]
= 25000(4.32194)
= 108048.5
Compound Interest = Amount - Principal
= 108048.5 - 25000
= 83048.50
Hence, on her 60th birthday, she would have earned $83048.5.
Answer:
The interest in 30 years be 8305000 cent.
Step-by-step explanation:
Formula
[tex]Amount = P(1+r)^{t}[/tex]
Where P is the principle , r is the rate of interest in the decimal form and t is the time.
As given
On her 30th birthday, Ann Marie opened a new compound interest account with $25,000.
The account pays 5% interest annually.
If Ann Marie retires on her 60th birthday and close the account at that time .
P = $25000
5% is written in the decimal form.
[tex]= \frac{5}{100}[/tex]
= 0.05
r = 0.05
As Ann Marie open account on his 30 th birthday and close it at its 60 th birthday .
Thus
t = 60 - 30
t = 30 years
Put all the value in the formula
[tex]Amount = 25000(1+0.05)^{30}[/tex]
[tex]Amount = 25000(1.05)^{30}[/tex]
[tex]Amount = 25000\times 4.322 (Approx)[/tex]
[tex]Amount = \$ 108050[/tex]
As
Amount = Principle + Interest
Putting the value
$108050 = $25000+ Interest
$108050 - $25000 = Interest
Interest = $83050
As 1 dollar = 100 cent
Convert $83050 convert into cent .
$83050 = 83050 × 100
= 8305000 cent.
Therefore the interest in 30 years be 8305000 cent.