Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.

Answers

Answer 1

Answer:

Popcorn = $4.25 per bag, Drink = $8.75

Step-by-step explanation:

p = popcorn

d = drinks

10p + 10d = 130

3p + 5d = 56.50

multiply the second equation by -2 and then solve by elimination

-6p - 10d = -113

4p = 17

p = 4.25

3(4.25) + 5d = 56.50

5d = 43.75

d = 8.75

Answer 2

Answer:

10x + 10y = $130.00

3x + 5y = $56.50

Solution: x=4.25 and y=8.75

Step-by-step explanation:

The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink.  First we can solve 10x + 10y = 130 for x:

10x + 10y = 130

10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)

10x = -10y + 130

Now divide 10 by both sides

x = -y + 13

Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:

3x + 5y = 56.5

3(-y + 13) + 5y = 56.5

2y + 39 = 56.5 (Simplify both sides of the equation)

2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)

2y = 17.5 (Now divide both sides by 2)

y = 8.75

You can check this by substituing 8.75 for y in x = -y + 13


Related Questions

help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.

Answers

Answer:

The width is 7 cm

Step-by-step explanation:

The volume of a cereal box is

V = l*w*h

6860 = 35 * w * 28

6860 =980 w

Divide each side by 980

6860/980 = w

7 = w

Answer:

35*28=6,860

980 = 6,860

divide by 980 to both side

_980__ =  _6,860_

980                980

x = 7

Step-by-step explanation:

Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer

Answers

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                                 = [tex]\frac{260-140}{12-6}[/tex]

                                                                 = [tex]\frac{120}{6}[/tex]

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Divide 24.71/13 to 3 decimal place

Answers

Step-by-step explanation:

1.901

hope this helps.

Answer:

1.900769231

In three decimal places is 1.901

Step-by-step explanation:

HAVE A GOOD DAY!

The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4

Answers

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!

Answers

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval

Answers

Answer:

Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.

They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"

To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.

Hope this Helps, good luck on our assignment!

Answer:

Hey! I think this video will help you!

Step-by-step explanation:

It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

In the number
23.45, the digit
2 is in the Select...
place.

Answers

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Number 2 is in the tens place.

What is the inverse of the function f(x) = 4x - 12

Answers

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Y=x+12/4.
There you go bud

The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.

Answers

Insufficient evidence. Would you please send a screenshot or a picture of the paper?

14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.

Answers

Answer: the higher the price is the less competitive the sales

Step-by-step explanation:

say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2

Do 6,7 for 10 points.

Answers

Answer:

6. x = 3 7. x = 120 8. x= -5

Step-by-step explanation:

the first question is x(-4) + 3 = -9

find the value of x :

-4x + 3 = -9

we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.

-4x = -12

-4(3) = -12

therefore the answer to problem 6 is x=3

and for 7 :

x / 6 - 9 = 11

we can add 9 on both sides which will cancel it out;

x/6 = 20

120/6 = 20

therefore the answer to the question 7 is 120.

For problem 8 it says :

-3x -5 = 10

we can add 5 on both sides to get:

-3x = 15

-3(-5) = 15

therefore the answer to problem 8 is -5

Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X

Answers

Answer:

x = 41

y = 24

Step-by-step explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

  -4x -14y = -500

(+)   4x - y = 140  

          -15y = -360

             y = [tex]\frac{360}{15}[/tex]

            y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x = [tex]\frac{164}{4}[/tex]

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1),   -2(41) - 7(24) = -250  [True]

Equation (2),   4(41) - (24) = 140  [True]

Answer:it’s 41 and 24

Step-by-step explanation:

The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10

Answers

Answer:

B

Step-by-step explanation:

[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]

Therefore, the correct answer is 7. Hope this helps!

Answer:

7

Step-by-step explanation: When multiplying  a number where both has exponent you add the exponent.  a^5 * a^2 is the same thing as a^5+2 which is a^7.

Please help ASAP Very easy !!!!

Answers

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

does anyone understand and can help me asap?

Answers

Answer:

see below

Step-by-step explanation:

Circumference of circle = 2πr =dπ

Area of circle =πr²

1) Circle1 d =4 in, r =2 in

Circumference of circle1 =4π in

Area of circle1 = 2²π =4π in²

2) Circle2: d =3 in, r =1.5 in

Circumference of circle2 =3π in

Area of circle2 = 1.5²π =2.25π in²

3)  Circle3:  r =1 in, d =2 in

Circumference of circle3 =2π in

Area of circle3 = 1²π =π in²

4) Circle4:  r =2 1/2 in = 2.5 in, d =5 in

Circumference of circle4 =5π in

Area of circle4 = 2.5²π = 6.25π in²

5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²

6) 1/2  of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²

7) 1/4  of the Area of circle3 = (1/4)π in²

8) 1/3  of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²

Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.

Answers

Answer:

Step-by-step explanation:

57

60

63

Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better

Answers

Answer:

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Volume of larger prism÷Volume of cube

that is;

Note:V=LWH

Therefore

[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}

= 1440[/tex]

Hope this answers your question!

Please follow my account.

Cheers!

Solve 11x + 4 = 3x + 52 need this

Answers

______________________________

Hey!!

Solution,

11x+4=3x+52

or,11x-3x=52-4

or,8x=48

or,X=48/8

X=6

So, the answer is 6.

Hope this helps...

Good luck on your assignment

_____________________________

Answer:

11x+4=3x+52

11x-3x=52-4

8x=48

8x÷8=48÷8

x=6

the answer is x=6

18 ÷ x = -2 what does x equal

Answers

Answer: x = -9

Step-by-step explanation:

18/x = -2

18x = -2x

x = -18/2 = -9

Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?

Answers

Answer:

1/6 x 1/6 = 1/36

Step-by-step explanation:

We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT

Answers

Answer:

none is equivalent. all are wrong

please help me ! :)

Answers

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

the answer is B (6,5)

A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )

Answers

Answer:

First find how much bananas are in a dozen

15 x 12 = 180

Divide the amount by the amount of bananas per dollar to find profit

180 / 2 = $90

Do the same thing as before

15 x 12 = 180

180 / 3 = $60

Find how many bananas are left

180 + 180 = 360

540 - 360 = 180

Do the same as before

180 / 5 = $36

Add up all the money. 90 + 60 + 36 = 186

Subtract the cost

185 - 150 = 36

To find percentage increase

36 / 150 = 0.24 or 24% profit

Hope this helps

Step-by-step explanation:

If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False

Answers

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?

Answers

Yesterday, the store made $10,500 in sales

Write y + 1 = –2x – 3 in standard form.

Question 15 options:

a)

x + 12y = −2

b)

-2x-y = 4


c)

2x + y = -4


d)

y = -2x-4

Answers

Answer:

d

Step-by-step explanation:

isolate y and evaluate

Answer:

B

Step-by-step explanation:

move the y to the other side and the three to its opposite side

Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​

Answers

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

Answer:

4^2= 16

Step-by-step explanation:

This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.

x + y = 2
y=-3x2 + 3

Answers

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

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