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son4ous [18]
2 years ago
10

A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball

for $1. Coach John bought 24 identical soccer balls during this sale for $136. What is the regular price for one of these soccer balls?
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
7 0

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

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3) When Jackie took her children to the movie theater, she bought one box of candy and three small drinks for
Nezavi [6.7K]

Answer:

c + 3d = 14.75

2c + 5d = 26

A box of candy is $4.25 and a drink is $3.50

Step-by-step explanation:

Let c represent the cost of a box of candy and let d represent the cost of a drink

c + 3d = 14.75

2c + 5d = 26

Solve by elimination by multiplying the top equation by -2

-2c - 6d = -29.5

2c + 5d = 26

Add them together

-d = -3.5

d = 3.5

Plug in 3.5 as d into one of the equations to solve for c

c + 3d = 14.75

c + 3(3.5) = 14.75

c + 10.5 = 14.75

c = 4.25

So, a box of candy is $4.25 and a drink is $3.50

6 0
2 years ago
How many 2/4’s are in 2
swat32
Im pretty sure that answer is four!
5 0
2 years ago
16j + -6j + -12j = -10
nordsb [41]

Answer:

j = 5

Step-by-step explanation:

16j + -6j + -12j = -10

Combine like terms

10j -12j = -10

-2j = -10

Divide by -2

-2j/-2 = -10/-2

j = 5

8 0
3 years ago
Read 2 more answers
jada can write 3 1/4 pages in 8 minutes. At this rate, how many pages could jada write in 24 minutes?
makkiz [27]

Answer:

9  3/4  pages = x    

Step-by-step explanation:

\frac{pages}{minutes} = \frac{pages}{minutes}        change 3 1/4 to a decimal

\frac{3.25}{8} = \frac{x}{24}

3.25(24) = 8x

78 = 8x

\frac{78}{8} = x

9.75 = x  

9\frac{3}{4} =x

working with the fraction

3 1/4 /8 = x/ 24

3 1/4 (24) = 8x            

 13/4 (24) = 8x

  316/4 = 8x

  78 = 8x

78/8 = x

9 3/4 = x

7 0
2 years ago
A plane lamina with constant density p(x, y) = p occupies a region in the xy-plane bounded by a simple closed path C. Show that
stira [4]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

8 0
3 years ago
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