A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9.50. Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, and pays a total of $19.75. If p represents the number of popcorn buckets and d represents the number of drinks.

Answer:

y = 5/6x + 4

Step-by-step explanation:

y = mx + b

b = 4 because when x = 0, y = 4

m  = (y2 -y1) / (x2 - x1)

where two points on the equation are (x1, y1) & (x2, y2)

Let's pick points (6,9) & (-6,-1)

m = (-1 - 9) / (-6 - 6)

m = -10 / -12 = 5/6

Answer:

y = 1.5x + 1

Step-by-step explanation:

Answer: 8 exhibits

Step-by-step explanation:

There are 27 exhibits in this zoo.

Out of these 27, 30% of them feature canines.

The question is asking for this percentage as a whole number:

= Percentage of exhibits with canines * total number of exhibits

= 30% * 27

= 8.1

= 8 exhibits

Answer:

I thinks its 30

Step-by-step explanation:

because they add 3 twice then 2 twice to sooooooo yeh

Answer:

$6,250,000

Step-by-step explanation:

Let :

2016 income = x

2017 income = x + $500,000

2017 income is 8% more than company's income in 2016

Thus ;

8% of 2016 income = 500000

0.08x = 500,000

x = 6,250,000

Hence, the company's income in 2016 is $6,250,000

Answer:

y is greater or less then 4

Step-by-step explanation:

Im jesus

Answer:

answer is 1/4

.... .. . ...... .

:-))

hope it helps you

Answer:

x=3 hope I helped you! :)

Answer:

Well I think It's undefined

Step-by-step explanation:

m =  y2 - y1/x2 - x1

= 6-6/-9-(-9)

= 6-6/-9+9

m = 0/0

Answer:

slope is indeterminate

Step-by-step explanation:

Given (- 9, 6) and (- 9, 6) ← that is a single point

No line is formed by a point , thus the slope is indeterminate

Answer:

A

Step-by-step explanation:

We know a number is an expression when it is:

1) NOT greater/ less than something else

2) NOT equal/ not equal to something else

The only answer choice that satisfies the above is A.

Answer:

$28.13

Step-by-step explanation:

english: 6.25% of $450

math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded

Answer:

£631.07

Step-by-step explanation:

Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:

[tex]1.03p=650[/tex]

To solve for p, we can simply divide both sides of our equation by 1.03 to get

[tex]p=650/1.03\approx631.07[/tex]

So our orignal amount, to the nearest penny, was £631.07

Answer:

£631.07

Step-by-step explanation:

Answer:

120/2.5 = 48

48 km/hr

Step-by-step explanation:

Answer:

The answer 3/4

Step-by-step explanation:

Answer:

\frac{3}{4}

[tex]convert \: the \: mixed \: numbers \: into \: a \: fraction frac{9}{4} - \frac{3}{2}

applying the fractions formula for subtraction

(9 \times 2) - (3 \times 4) \\ 4 \times 2 \\ = 18 - 12 \\ 8 \\ = \frac{6}{8} \\ then \: diide \: each \: number \: by \: 2 \: and \: get \\ \: \frac{3}{4}

Answer:

Step-by-step explanation:

Red = r, blue = b,

Substitute:

Red marbles:

Answer:

The one on top is no solution and the one on bottom is one solution

Answer:

the top one has no solution

Step-by-step explanation:

Answer:

Should be the first one. You have $5 flat fee and an additional 10 cents per text. Then you have a $10 flat fee and an additional 5 cents per text. so the first equation would be 0.1x + 5 and the second one would be 0.05x + 10

Answer:

[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

Answer:

Length of the fence is 50 yards.

Step-by-step explanation:

The dimensions of the garden are:

length of the garden = 40 yards

width of the garden = 30 yards

Representing these by the sides of a right angled triangle, the diagonal is the hypotenuse of the triangle. So that applying the Pythagoras theorem, we have:

[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

Let the diagonal be represented by x, so that;

[tex]x^{2}[/tex] = [tex]40^{2}[/tex] + [tex]30^{2}[/tex]

   = 1600 + 900

   = 2500

x = [tex]\sqrt{2500}[/tex]

  = 50

x = 50 yards

Hence, Terri would need a fence of length 50 yards so as to split the garden on the diagonal.

Answer:

12

Step-by-step explanation:

We can write the following ratio

1:3 (for every student who gets an A 3 gets a b)

We then can write a new ratio

4:x

We can solve this ratio by multiplying the original ratio by 4

4:12

This means that 12 people earned an B

Answer:

10 i belive

Step-by-step explanation:

Hence, the five positive integers are 2, 2, 4, 4, 13.

Mean- The arithmetic mean of a given data is the sum of all observations divided by the number of observations.

Median-The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.

Mode-The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.

According to the question , it can be concluded that the total no. of observations are 5.

So , Let n=5

Let  the integers be a, b, c, d and e

The question says that mode(s) are 2  and 4.

This indicates that 2 and 4 both have occurred more than once , and both have same frequency since both are modes.

Since we have only 5 integers , and 2 and 4 both are modes , so both these numbers have possibility to occur only twice.

Hence , it becomes , a=2 , b=2 , c=4 , and d=4

Hence we can say that out of five required integers ,four of them are 2 and 4.

Further , we are given that mean is 5.

therefore , using formula:

Mean = Sum of Observations / Number of observations(n)

Mean=  (a+b+c+d+e) / 5

5 = (2+2+4+4+e) / 5

5 = (12+e)/5

Multiplying both sides by 5 , we get :

25 = 12+e

e=25-12

Hence , e = 13

So,  the five positive integers are 2, 2, 4, 4, 13.

Learn more about Mean , Mode and Median at:

https://brainly.com/question/12051754

#SPJ2

Answer:

14

Step-by-step explanation:

Answer:

Micheal is 14

Step-by-step explanation:

First you need to minus the 25 from 53 to see how old they both are without the age difference, 53-25=28. Since we are looking at 2 people, we need to divide this number by 2. From this we get 14. Now 14+25=39. So we can prove that our answer is valid. Ergo, Micheal's age is 14.

Answer:

slope=4x

y intercept=2

Step-by-step explanation:

y=4x+2

The simple equation form is y=mx+b

The y-intercept is the number that is where b is.

In this case 2

and the slope is the number in front of x

in this case is 4

Answer:

Probs tbh

Step-by-step explanation:

Lol

Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95

hope this helped! :)

Answer:

-14/3,-13/3,-4.25,-4,-3.95

Step-by-step explanation:

Answer:

In bold below.

Step-by-step explanation:

let the shorter leg be x units long, then:

longer leg = x+4

and hypotenuse = x + x + 4 - 8 = 2x - 4 units.

By Pythagoras:

(2x - 4)^2 = x^2 + (x + 4)^2

4x^2 - 16x + 16 = x^2 + x^2 +8x + 16

2x^2 - 24x = 0

2x(x - 12) = 0

x = 12.

So the shorter leg = 12 units

Longer leg = 4 + 12 = 16 units and

Hypotenuse =  12 + 16 - 8 = 20 units.

Answer:

r666666666666666666666666655555555555555555555555555555555555555555555

Answer:

2 cups per teaspoon

Step-by-step explanation:

3/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon

From the question:

3/4 cups = 3/8 Teaspoons of cinnamon

the unit rate of cups per teaspoon is calculated as:

3/4 cups÷ 3/8 teaspoons

= 3/4 ×8/3

= 2 cups per teaspoon