Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100?

1) Write an equation that matches this scenario.

2) Define the variable. (What variable are you using and why?)

3) Solve the equation.

Answers

Answer 1

Answer:

$100 or y  = 7.5x + 30

I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.

She can have 9 friends at her party

Step-by-step explanation:

y = 7.5x + 30

Total Amount + Cost per Friend + Total Cost of Pizza

100 = 7.5x +30

subtract 30 from each side

70 = 7.5x

divide each side by 7.5

9.33 = x

Always round down to the nearest whole in human examples!


Related Questions

help please, i need it asap. thank you

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

I need the answer to

Answers

Answer:

I think its B

Hope this helps

Solve the equation 6 = p -8

Answers

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

Pls help ASAP. Pls and thx.

Answers

Answer:

(assuming the. values are the shaded areas)

area = x^2 + 2x +2

perimeter = 4x + 8

Step-by-step explanation:

you have all the side except the side of the 2 squares at the top.

The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.

So the area is x^2 + x + x + 1 + 1

The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x

(starting from the lower left side and walking around the perimeter clockwise)

What’s the work and answer for this? Someone please tell me

Answers

Answer:  14

Step-by-step explanation:

We arrange the number as -3,  1, 7, 8, 18, 19, 42, the old median is 8.

But the median has change to 11 when the number is add, which means that the number is between 7 and 18.

(8 + x)/2 = 11      Where x is the new number

8 + x = 22

x = 14

Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.


help hurry

Answers

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder

Answers

Answer:

The cylinder has the great volume

Step-by-step explanation:

The volume of a cone = (h/3)πr²

The volume of a cylinder = hπr²

The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.

Consider the diagram.

Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.

The congruence theorem that can be used to prove △MNP ≅ △ABC is

SSS.
ASA.
SAS.
AAS.

Answers

SAS, I guess (side angle side)

Step-by-step explanation:

Since AM=BC then AM+MB=MB+BN.

Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent

Answer:

B. SAS (Side Angle Side)

Step-by-step explanation:

its right on E2020

3(6x-5)-7(3x+10)=0. solve for x

Answers

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

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Combine and simplify the following radical expression.
(2^3 square root 12) (3^3 square root 2)

Answers

Answer:

432[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given: ([tex]2^{3}[/tex][tex]\sqrt{12}[/tex])([tex]3^{3}[/tex][tex]\sqrt{2}[/tex])

 = (8[tex]\sqrt{4*3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (8*2[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (16[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

So that;

16 x 27 x [tex]\sqrt{3}[/tex] x [tex]\sqrt{2}[/tex]

 = 432[tex]\sqrt{6}[/tex]

Thus the radical expression given can be simplified as 432[tex]\sqrt{6}[/tex]

A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting 1 yellow marble, not replacing it, then selecting a green marble

Answers

Without replacement is very important

please helppppppppppppppppppppp

Answers

Answer:

The untrue statement is "B. This figure is a parallelogram"

Step-by-step explanation:

You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.

Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?

Answers

Answer:

Step-by-step explanation:

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

your most exciting day of school​

Answers

Answer:

first day. yehahhhhhhhh

Answer:

School isn't exciting for me, lol.

Step-by-step explanation:

13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?

Answers

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)

Answers

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

Help please question in picture

Answers

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]

17 units I think because if you add it all up it equals 17

HELP ME PLEASE
15 points and brainliest if right

Answers

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

you roll a number cube numbered from 1 to 6. What id the probability that the number is a 3

Answers

Answer:

1 / 6

Step-by-step explanation:

S = { 1, 2, 3, 4, 5, 6 }

n ( S ) = 6

Let A be the event of getting the number " 3 ".

A = { 3 }

n ( A ) = 1

P ( A ) = n ( A ) / n ( S )

P ( A ) = 1 / 6

Therefore,

the probability that the number 3 is 1 / 6.

I need help on number 26

Answers

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

dolls= 9
footballs=21
small cars=15

A football stadium holds 5000 people.
On a match day 5 of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2 : 3
How many of the children attending are boys?

Answers

Answer:

720 boysss

Step-by-step explanation:

Yep thts the answerrr...

The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.

To the nearest tenth of a meter, what will be the height of the scale model?

Answers

Step-by-step explanation:

Height of real/height of scale=ratio of scale

193/x=75/1

x=2.6

Hope that helps :)

Can someone tell me how to do this and give me the answer please

Answers

Answer:

C. 94 Supplementary angles

Step-by-step explanation:

Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall

Answers

Answer:

60 minutes

Step-by-step explanation:

She painted 2/5 of the wall.

She still needs to paint 3/5 of the wall.

3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.

1.5 * 40 minutes = 60 minutes.

Answer: 60 minutes

Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.

Answers

The correct answer is 5/16.

The probability of having 2 girls and 3 boys in a 5-child family is 5/16

What is Probability ?

Probability is the likeliness of an event to happen .

Total Probability of having 5 kids as boy or girl is 2⁵ = 32

The probability that there is 3 boys in the 5 children and remaining two are girls

[tex]\rm ^5C_3[/tex]

= (5*4*3*2*1)/(2*1)(3.2.1)

= 10 ways

probability of having 2 girls and 3 boys in a 5-child family is

=10/32

= 5/16

Therefore ,  the probability of having 2 girls and 3 boys in a 5-child family is 5/16

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32 ÷ 24 plese help me

Answers

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

Square root of 202!!!!!!!!!!!!!! I need help

Answers

Answer:

approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101

The following amount was assigned to each. A penguin was $9, an octopus was $36, and ant was $27. Based on this information, how much will be given to a pig?

Answers

Answer:

$14

Step-by-step explanation:

Answer:

Is there options because this question not that in depth  

Step-by-step explanation:

solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answers

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

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