A market sells soup in 6-ounce cans and 12-ounce cans. On Tuesday, the market sold a total of 420 ounces of soup in 44 cans.
The system of equations below represents this situation
6x + 12y = 420
x + y = 44
How many 6-ounce cans of soup did the market sell on Tuesday?
Enter your answer in the box.

Answers

Answer 1

Answer:

The market sold 18 6-ounce cans of soup on Tuesday

Step-by-step explanation:

Let us solve the question

- The number of the 6-ounce cans is x

- The number of 12-ounce cans is y

- 6x + 12y = 420

→ Divide each term by 6 to simplify the equation

- x + 2y = 70 ⇒ (1)

- x + y = 44 ⇒ (2)

→ Subtract equation (2) from equation (1)

- (x - x) + (2y - y) = (70 - 44)

- 0 + y = 26

- y = 26

Substitute the value of y in equation (2) to find the value of x

-x + 26 = 44

→ Subtract 26 from both sides

- x + 26 - 26 = 44 - 26

- x = 18

- x represents the number of the 6-ounce cans

- The market sold 18 6-ounce cans of soup on Tuesday


Related Questions

Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, and the pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring. Laid end to end, the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth is about 12600 miles every spring. How far does each species travel?

Answers

Answer:

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust  = 2800

Distance travelled by pink-spotted hawk moth= 7800 miles

Step-by-step explanation:

Let the distance travelled by Monarch butterfly  be "X" miles

Distance travelled by desert locust is equal to X + 800 miles

Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles

The total distance travelled by the three is equal to 12600 miles

[tex]X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000[/tex]

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust  = 2000 + 800 = 2800

Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles

Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10

Answers

9514 1404 393

Answer:

  86.6 inches

Step-by-step explanation:

The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...

  P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches

help please i’ll give extra points

Answers

one output for each imput

At midnight in Minnesota, the temperature was -59. Over the next three hours, the
temperature dropped 7. What was the temperature at 3:00 a.m.?
A-12
B-5°
C -2°
D 2

PLEASE HELP!!!

Answers

9514 1404 393

Answer:

  A.  -12°

Step-by-step explanation:

The final value is found by adding the change to the initial value.

  final temp = initial temp + change in temp

  final temp = -5° + (-7°) = (-5 -7)°

  3 am temp = -12°

Answer:

A

Step-by-step explanation:

1. Write the equation: -5-7. We get that equation because we start at -5 and then it drops 7 degrees. "dropped" is the keyword that tells us to subtract.

2. Solve the equation: -12 degrees. You can solve it very easily by plugging it into a calculator or mentally.

P.S: You typed the question wrong, you said 56 degrees instead of 5. That really had me stumbled lol.

You buy 3 shirts and 1 pair of pants for $32Your friend buys 2 shirts and 3 pairs of pants for $40.

Answers

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

48 is what percent of 64?

Answers

Answer:

Answer is 75.

Step-by-step explanation:

I hope it's helpful!

juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.

Answers

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır? ​

Answers

Answer: X=2

Step-by-step explanation:

8x-7=-5x+19

=> 8x+5x=19+7 [Transforms]

=> 13x=26

=> x=26/13

So, x=2

A game and a controller are on sale for 45% off. The regular price of the game is $80. The regular price of the controller is $120. What is the sale price for the game

Answers

It is 36

Explanation:
80/100 = 0.8
0.8*45 = 36

5(4x - 1.5x) + 12 = 4x - 2

Answers

Answer:

-1.647058824

Step-by-step explanation:

search on googl

Answer:

x=0.6072

Step-by-step explanation:

open bracket

20x-7.5x-4x+12=4x-2

20x-7.5x-4x=-12-2

8.5x=-14

x=0.6072

if 6n = 0, what does n equal?

Answers

Answer:

6n=0

n=0/6

n=0

hope it helps.

Answer:

n=0

Step-by-step explanation:

6n  is the same of 6×n

∴ 6×0 = 0

If the height of a cylinder is halved, its volume becomes how many times?

Answers

Answer:

[tex]volume \: of \: cylinder = \pi {r}^{2} h \\ if \ \: \: h \: \: is \: halved \: then \\ volume = \frac{\pi {r}^{2} h}{2} [/tex]

hope my answer is correct

Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.


f(n) = 4 + 60n

f(n) = 4 – 55n

f(n) = 4n – 55

f(n) = 60 + 4n

Answers

Answer: I don't know/ A. f(n) = 4 + 60n

60+4n=cost. Because the number of children is multiplied by the cost for each child

i would say f(n)=60 +4n but i am probably wrong

Step-by-step explanation: other brainly's

f(n) = 4n + 60...or f(n) = 60 + 4n

f(n)=60+4n that is the correct answer!!!!!!

Write an recursive formula for an, the nth term of the sequence 7, 10, 13,

Answers

Answer:

What's the nth term for 7,10,13,16? The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.

Step-by-step explanation:

expand the following: 4(2x + 1)

Answers

8x + 4 is the answer

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

A rental car company offers a rental package for a mid-size car. ​The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. ​ ​Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car. ​

Answers

Answer:

y = 40 + 45x

Step-by-step explanation:

Fixed administrative fee for the cleaning and maintenance of the car = $40

rental cost = $45 per day

x = number of days

y = total cost in dollars

y = 40 + 45x

This shows the relationship between the number of days and the total cost of renting a mid-size car.

What is the volume of the prism given below?
14
12
A. 280 units3
B. 480 units 3
C. 840 units 3
D. 420 units3

Answers

AnswerAnswer:

420

Step-by-step explanation:

The volume of the prism is 840 units³ which is correct option (C).

What is volume of prism?

The volume of the prism is defined as the measure of the space occupied within a prism . The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.

The volume of the prism= B×H

Where, B is base area of prism, and H is height of prism.

Given that,

Length of  prism (L) = 12 centimeters

Width of prism(W) = 14 centimeters

Base area (rectangle) of prism = L × W

Base area (rectangle) of prism = 12 × 14

Base area (rectangle) of prism = 168 units²

Height of prism(H) = 5 units

The volume of the  prism =  B × H

Substitute the values in above formula,

The volume of the prism = 168×5

The volume of the prism = 840 units³

Hence, the volume of the prism is 840 units³.

Learn more about volume of the prism here:

https://brainly.com/question/11336446

#SPJ5

help i dont understand how to do this the question is "Put your answer in decimal form."

Answers

Answer:

x = 2.5

Step-by-step explanation:

Hypotenuse ² = opposite ² + adjacent ²

(x + 4)² = x² + 6²

x² + 8x + 16 = x ² + 6²

x² + 8x + 16 - x² = 6²

8x + 16 = 36

8x = 36 - 16

8x = 20

x = 20/8

x = 2.5

X/4=8
Solve that using the opposite operation

Answers

Answer:

x = 32

Step-by-step explanation:

4 • (x/4) = 8 • 4

x = 32

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]

[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]

[tex]\qquad\sf\dashrightarrow x=32 [/tex]

Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2

Answers

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Shifted down 4 units.
Vertical compression

You are planning a party. Your friend tells you how much she paid $4.50 for three party grab bags. How much will it cost you to buy seven of the grab bags.

Answers

Answer:

10.5

Step-by-step explanation:

4.50 ÷ 3 = 1.5

1.5 × 7 = 10.5

Answer:

$10.50

Step-by-step explanation:

Divide 4.50 by three. (1.5)

Multiply by 7 (10.5)

I hope this helps!

Plz, marl brainliest!

Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan Claries 1/4 times

Answers

Answer:

a. $435

b. 33.33%

Step-by-step explanation:

P.S - The exact question is -

Let Clara raised money = x

As given,

Ali raised 20% more than Clara

⇒Ali raised money =  [tex]x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x[/tex]

Also given,

Clara raised [tex]\frac{1}{4}[/tex] times more than Shan

Clara raised money = Shan raise money + [tex]\frac{1}{4}[/tex] times shan raired money

⇒Clara raised money = [tex]\frac{5}{4}[/tex]  Shan raised money

⇒Shan raised money =  [tex]\frac{4}{5}[/tex] times Clara

⇒Shan raised money = [tex]\frac{4}{5}[/tex] x

As given,

Ali raised $58 more than shan

⇒[tex]\frac{6}{5}x = \frac{4}{5}x + 58[/tex]

⇒[tex]\frac{6}{5}x -\frac{4}{5} x = 58[/tex]

⇒[tex]\frac{2}{5}x = 58[/tex]

⇒x = (29)(5) = $145

∴ we get

Clara raised money = x = $145

Ali raised money = [tex]\frac{6}{5}x[/tex] = $174

Shan raised money =[tex]\frac{4}{5}[/tex] x  = $116

a.)

Total raised money = $145 + 174 + 116 = $435

b.)

Percentage of money Clara raised = [tex]\frac{145}{435}[/tex]×100% = [tex]\frac{1}{3}[/tex]×100% = 33.33%



A wire attached to the top of a building makes a 15° angle with the ground. If the building is 25 feet high, how

long is the wire?

Answers

Answer:

96.6feet

Step-by-step explanation:

,

From the attachment, we can see that a triangle is formed.

From trigonometry,

Sin(X)= opposite/hypothesis

Where Opposite sides=25feet

Hypotenuse sides= X feet

Sin(15)= 25/X

Cross multiply

Sin(15)= 0.2588

0.2588=25/X

X= 25/0.2588

X=96.6feet

Hence, the wire is 96.6 feet high

CHECK THE ATTACHMENT FOR THE FIQURE.

Can someone please help me ASAP

Answers

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?
F(x) = 2x + 4

Answers

Answer:

sorry need points

Step-by-step explanation:

FIND THE DOMAIN AND RANGE!!!!

Answers

For the domain, you would find that all the numbers that go across in the x axis. In this case -3 is less than or equal to x which is less than or equal to 4. Same with the range, different numbers. -3 is less than or equal to y which is less than or equal to 2. Hope this helped!

1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°

Answers

Read the top and you have your answer
The trigonmetric ratio is the answer... And if not then try brainlys quick answers

If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.

Answers

Answer:

x = 6

y = 13

Step-by-step explanation:

since DE and JK are congruent, they are both 18

to find 'y':

3y - 21 = 18

3y = 39

y = 13

DF and JL are diagonals that are congruent so:

9x - 23 = 7x - 11

2x = 12

x = 6

X=6 Y=13 values of x and y


The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10

Answers

Answer: Van: 10, Bus: 46

Step-by-step explanation:

Let the number of students in each van be represented by v.

Let the number of students in each bus be represented by b.

The question given can be formed into an equation as:

3v + 13b = 628 ...... i

9v + 2b = 182 ......... ii

Multply equation i by 9

Multiply equation ii by 3

27v + 117b = 5652 ........ iii

27v + 6b = 546 ....... iv

Subtract iv from iii

111b = 5106

b = 5106/111

b = 46

Bus = 46

Recall that 9v + 2b = 182

9v + 2(46) = 182

9v + 92 = 182

9v = 182 - 92

9v = 90

v = 90/9

v = 10

Van = 10

1. Um prêmio em dinheiro foi dividido entre 3
pessoas: a primeira recebeu 1/4 do valor do
prêmio a segunda recebeu 1/3 e a terceira
ganhou R$ 1000,00. Então, o valor desse prêmio,
em reais, era de:
a) 2400,00
b) 2200,00
c) 2100,00
d) 1800,00​

Answers

I think the answer is b
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