Aaron’s dad rents out the local skating rink for a party for $150 and food will cost $3 per person. If his budget is $300, how many people can Aaron invite?

Answers

Answer 1

Answer:

50 persons

Step-by-step explanation:

Given:

Aaron’s dad rents out the local skating rink for a party for = $150

Food will cost per person = $3

Question asked :

how many people can Aaron invite = ?

Solution:

Total budget = $300

Rent of skating rink = $150

Remaining money for food = 300 - 150

                                             = $ 150

Each person's food cost = $3

Number of people can Aeron invite = Remaining money divided by each person's food cost

Number of people can Aeron invite = [tex]\frac{150}{3}[/tex]

                                                            = 50 persons


Related Questions

If h(x) = 6 - X, what is the value of (h*h)(10)?

Answers

The value of [tex]\bold{ h(h(10))=10}[/tex]

Solution:

Given: [tex]h(x) = 6 - x[/tex]

To find: The value of (h*h)(10)

We know that, [tex](h*h)(x)=h(h(x))[/tex]

which is,

[tex]\Rightarrow h(h(x))=6-(6-x)=x[/tex]

On solving we get,

[tex]\Rightarrow6-6+x=x[/tex]

So, for x = 10 it will be,

[tex]h(h(10))=10[/tex]

Hence, the required value is 10.

Convert the decimal to a fraction.
0.6 repeating

Answers

6over ...................

What fraction is located at Point AAA on the number line?

Answers

Answer:

i don't see no number line

Step-by-step explanation:

Answer:

no pic

Step-by-step explanation:

Please help me with this math Question. I want to finish meh homework :((((

Answers

The original price of jacket was $180

Step-by-step explanation:

Markdown is the money that is reduced on an item on sale.

Given

Markdown = $63

Percentage = 35%

Let x be the price of the jacket

Then the percentage formula will be sued to find the price of the jacket

[tex]Markdown= 35\%\ of\ x\\63 = 0.35 * x\\x = \frac{63}{0.35}\\x = 180[/tex]

Hence,

The original price of jacket was $180

Keywords: Percentage, Mark up, mark down

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Average snowfall for Boise

Answers

Answer:

20 inches

Step-by-step explanation:

hope this helps you

The average snowfall for boise would be 20 inches

Use the formula d=rt to find the average speed of a car if the car traveled 320 miles in 8 hours.

Answers

Answer:

320 miles = (8 hours)(r)

r = 40 mph

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test c e que tous


build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing in the


represents child bikes and a represents adult bikes, determine which system of inequality best explans whether the company and tes and 150


bikes in the week


No, because the bike order does not meet the restrictions of 40 + 6a s 120 and 4C + 4a s 100


No, because the bike order does not meet the restrictions of 40 + 4a s 120 and 6C + 4a 5 100


Yes, because the bike order meets the restrictions of 40 + 6a s 120 and 4C + 4a s 100


Yes, because the bike order meets the restrictions of 40 + 4a s 120 and 6c + 4a 5 100

Answers

As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.

Updated Question:

"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"

Answer:

Correct answer for this question is first option because it satisfies the first inequality but not the second one.

Step by Step Explanation:

[tex]NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100[/tex]

First Inequality:

4(20)+6(6)≤120

80+36≤120

116≤120 ⇒ TRUE

Second Inequality:

4(20)+4(6)≤100

80+24≤100

104≤100 ⇒ FALSE

Please help me with the question. You must solve for x.

Answers

Answer:

[tex]x= (3, \frac{3}{10} )[/tex]

Step-by-step explanation:

The figure is composed of two similar triangles; therefore,

[tex]\frac{7x}{19x-4} =\frac{7x+8}{(5x+5)+(19x-4)}[/tex] this says the ratio of the sides is same for the two triangles.

we simplify and a rearrange to get

[tex]7x(24x+1)=(7x+8)(19x-4)[/tex]

which we expand and get

[tex]168x^2+7x=133x^2+124x-32[/tex]

[tex]35x^2-117x+32=0[/tex]

this quadratic equation has solutions

[tex]x=3.04[/tex]

[tex]x=0.30[/tex]

As integers and simplified fractions these are

[tex]x= (3, \frac{3}{10} )[/tex]

What is the simplified expression for 6 (2 (y + x))?
6 y + 12 x
12 y + 12 x
12 y + 8 x
8 y + 8 x

Answers

Step-by-step explanation:

6(2(y+x))=6(2x+2y)=12x+12y

Answer:

12y + 12x

Step-by-step explanation:

You're welcome.

Jenna and Callie collect stamps. Jenna has 20 less than twice the number of stamps that Callie has. Write an expression that represents the number of stamps that Jenna has.

Answers

The expression that represents the number of stamps that Jenna has is 2x - 20

Step-by-step explanation:

Let us revise some algebraic expressions

a is 5 more than b ⇒ a = b + 5a is 3 less than b ⇒ a = b - 3a is twice b ⇒ a = 2 bThe sum of a and b ⇒ a + bThe difference of a and b ⇒ a - bThe quotient of a and b ⇒ a ÷ bThe product of a and b ⇒ a × b

∵ Jenna and Callie collect stamps

∵ Jenna has 20 less than twice the number of stamps that Callie has

- Assume that Callie has x stamps, that means to find the number

  of stamps of Jenna multiply x by 2 and subtract 20 from the product

∵ Callie has x stamps

∵ Twice means × 2

∴ Jenna has = 2(x) - 20

∴ Jenna has = 2x - 20

The expression that represents the number of stamps that Jenna has is 2x - 20

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Evaluate each expression if d = 12 and e = 1/3 2d-5

Answers

Answer:

19

Step-by-step explanation:

Plug it in

-2°F ___ -6°F
=?
>?
<?

Answers

Answer:

  -2 °F > -6 °F

Step-by-step explanation:

-2 is to the right of -6 on the number line, so is the greater of the two values. The temperature has to go up from -6 to get to -2. Thus, ...

  -2 °F > -6 °F

Which of the following lengths cannot be the lengths of the sides of a triangle?

A. 4,6,9
B. 3,4,2
C. 2,2,3
D. 1, 1, 2

Answers

I thinks it’s be because if u see the factors of that number and u divide them and do ladder method the factors u use are 3,4,2 that’s how I think it’s is B I hope I gave help if wrong pls correct me

39 points!!!!! HURRY AND SHOW STEPS.... Point B is collinear with A and C and partitions AC in a 3:4 ratio. B is located at (4,1) and C is located at (12,5). Find the coordinates of endpoint A.

Answers

Answer:

(11,3)

Step-by-step explanation:

Find the distance between the points with the given coordinates (-4, 9) and (1, -3).

Answers

Answer: 13

Step-by-step explanation:

The formula for finding distance between two points is given by :

D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]x_{1}[/tex] = -4

[tex]x_{2}[/tex] = 1

[tex]y_{1}[/tex] = 9

[tex]y_{2}[/tex] = -3

Substituting the values into the formula , we have :

D = [tex]\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}[/tex]

D = [tex]\sqrt{(5)^{2}+(-12)^{2}}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Therefore : the distance between the points is 13

35 POINTS!!!! PLEASE HELP! (2.01)A polygon is shown on the graph: A polygon is shown on a coordinate plane. Vertex A is at 1 comma 5, vertex B is at 0 comma 1, vertex C is at 6 comma 1, and Vertex D is at 5 comma 5. If the polygon is translated 2 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answers

Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation:

the other person gto one wrong this is what it should be

have a good day hope this helped

I have a pic to show you

Round 9.3959 to the nearest hundredth

Answers

Answer:

The answer is 9.396

Step-by-step explanation:

Since the 9 after the 3 is in the hundreds place you would make the 9 into a 0 and the 3 into a 4 to get 9.40 as your simplified answer

(2,-1)
Is one of many solutions to the inequality:
X - 3y<1
True or false?

Answers

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

Answer:false

Step-by-step explanation:

For which equation is y=7 a solution

A)7y= 1
B)y - 26= -19
C)y + 7 = 0
D) y/2 = 7

Answers

The answer would be B.

Complete the following equation: a2 = b2 + c2 - ______.
2 bc cos A
2 ca cos B
2 ab cos C
none of the above

Answers

Answer:

2 bc cos A

Step-by-step explanation:

Cosine rule

Final answer:

The missing part of the equation is 2bc cos A. This equation is a form of the Law of Cosines from trigonometry, which provides a relationship between the lengths of the sides of a triangle and one of its angles.

Explanation:

The equation presented is a variant of the Law of Cosines in trigonometry. To complete the equation accurately, we need to choose the right trigonometric relationship between sides a, b, c, and one of the angles. The correct completion of the equation is 2bc cos A.

The Law of Cosines can be stated in three different ways depending on the specific circumstances:

a² = b² + c² - 2bc cos Ab² = a² + c² - 2ac cos Bc² = a² + b² - 2ab cos C

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Which of the following inequalities could be the result of the first step in solving the inequality
3(x – 4) < 8x + 13 for x?
AX-45 x+13
B x-458x+10
(C3x – 4 5 8x+13
D
3x – 12 5 8x + 13

Answers

Final answer:

In the inequality 3(x – 4) < 8x + 13, the first step is to distribute the 3 on the left-hand side. That results in the inequality 3x – 12 < 8x + 13. Therefore, the correct answer from the options given is (D) 3x – 12 < 5 8x + 13.

Explanation:

The question is asking for the inequality that could result after the first step when solving the given inequality 3(x – 4) < 8x + 13. The first step involves distributing the multiplication on the left side of the inequality. Therefore, 3 multiplied by x gives 3x and 3 multiplied by -4 gives -12. This leads to the inequality 3x – 12 < 8x + 13.

So, the correct answer from the options given is:
(D) 3x – 12 < 5 8x + 13.

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The area of a rectangle is 17 1/2 in and it’s shorter side is 3 1/2in.draw a diagram that shows this information. What is the length of the longer side

Answers

Answer: 5

Step-by-step explanation:

17 1/2 is equal to 17.5

3 1/2 is equal to 3.5

Since 17.5 is the area, you must divide by 3.5, which equals 5

Final answer:

To find the length of the longer side of a rectangle with an area of 17 1/2 square inches and a shorter side of 3 1/2 inches, divide the area by the width to get the length. The length of the longer side is 5 inches.

Explanation:

The question is asking how to find the length of the longer side of a rectangle given that the area of the rectangle is 17 1/2 square inches and one of the shorter sides is 3 1/2 inches. To find the length of the other side, which we will call length, use the formula for the area of a rectangle which is area = length × width. Since the area and width (shorter side) are known, the equation can be set up as follows:

17 1/2 = length × 3 1/2To find the length, divide the area by the width:Length = (17 1/2) / (3 1/2)Convert mixed numbers to improper fractions:Length = (35/2) / (7/2)Multiply by the reciprocal of the divisor:Length = (35/2) × (2/7)Simplify the fractions:Length = 5

Therefore, the length of the longer side of the rectangle is 5 inches.

79 percent of 145 is what?

Answers

114.55 is .79 times 145

What is the exact value of cos (67.5° )?

Answers

Final answer:

The exact value of cos(67.5°) is found using half-angle identities in trigonometry, which leads to the solution √(2 - √2)/2.

Explanation:

To find the exact value of cos (67.5°), we can use the half-angle identity for cosine which states that cos(θ/2) = ± √ ((1+cosθ)/2). In this case, to find the cosine of 67.5 degrees, we effectively need to calculate the half-angle of 135 degrees.

Thus, cos(67.5°) = cos(135°/2) = √ ((1+cos135°)/2) = √ ((1 - √2/2)/2). This further simplifies to √(2 - √2)/2.

This is because the cosine of 135 degrees equals -√2/2 (as it's in the second quadrant where cosine is negative).

Therefore, the exact value of cos(67.5°) is √(2 - √2)/2.

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if the circumference of one of the world's largest pizzas is 215 feet, what is its radius? Use 3.14 to approximate pi. Round to the nearest tenth.

Answers

Answer: 34.2

Step-by-step explanation:

what is x-13+2x+1=180

Answers

Answer:

64

Step-by-step explanation:

x-13+2x+1=180

3x-13+1=180

3x-12=180

3x=180+12

3x=192

x=192/3

x=64

Answer:

X=83

Step-by-step explanation:

UH TOO LAZY TO EXPLAIN. lol

in 2014 there were about 126 million women in the United States, and women were about 51.4% of the total population. what was the total population in 2014?​

Answers

Answer:

Step-by-step explanation

51.4% of the total population is 126 million

let x be the total population

turn ur percent to a decimal

0.514x = 126,000,000

x = 126 / 0.514

x = 245,136,186.77 <==

Answer:

245 millions

Step-by-step explanation:

51.4 > 126million

100 > X

X=100*126/51,4

X=245.1

Figure LMNO is a parallelogram. Parallelogram L M N O is shown. Angle M is (3 x) degrees and angle N is (8 x minus 40) degrees. What is the value of x? 8 10 13 20

Answers

Answer:

20

Step-by-step explanation:

we know that

In a parallelogram, opposite  angles are congruent and consecutive angles are supplementary

In this problem

M and N are consecutive angles so

[tex]m\angle M+m\angle N=180^o[/tex]

substitute the given values

[tex]3x^o+(8x-40)^o=180^o[/tex]

solve for x

[tex]11x-40=180\\11x=220\\x=20[/tex]

Answer:

20

Step-by-step explanation:

A two-column proof
O uses a visual representation of the logical flow of steps needed to reach a conclusion
o contains a table with a logical series of statements and reasons that reach a conclusion
O contains a set of sentences explaining the steps needed to reach a conclusion,
O uses inductive reasoning to prove a statement.

Answers

Answer:

B contains a table with a logical series of statements and reasons that reach a conclusion.

Step-by-step explanation:

A two-column proof

uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

Answers

To find the y-intercept, rewrite the equation of the line in slope-intercept form:

Slope-intercept form: y = mx + b   (b is the y-intercept)

This is how you get your equation in slope-intercept form:

5x -3y = -12

-3y = -5x - 12

-3y/-3 = (-5x -12)/-3

y = (5/3)x + 4

The answer is 4.

Please let me know if you understand in the comments!

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