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jeyben [28]
3 years ago
12

A manager is comparing the cost of buying ball caps with the team emblem from two different companies. Company X charges a $50 f

ee plus $7 per cap. Company Y charges a $30 fee plus $9 per cap. For what number of ball caps will the manager's cost be the same from both companies?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

10 ball caps

Step-by-step explanation:

In this question, we are trying to know the number of caps the manger would buy that would equate the cost at both companies.

How do we get this?

Since we do not know the number of caps, let’s assign a variable. Let the number of caps that is required be x. Let’s now make some costings in terms of x. We proceed;

Company X charges $50 fee plus $7 per cap. Total amount company X will charge on x caps will be; $50 + $7(x) = $50 + $7x

Company Y will charge $30 plus $9 per cap. Total amount company Y will charge on x caps will be $30 + $9(x) = $30 + $9x

We are trying to look at the value of x that will make both costs equal. What we do is to equate both costs.

30 + 9x = 50 + 7x

We simply by taking like terms to the same sides

9x-7x = 50-30

2x = 20

x = 20/2 = 10

X = 10

So what this means is that manger has to buy 10 caps to have the same cost in both companies

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KIM [24]

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side length of cube=3

hence the correct statement is,

the side length of the cube is less than the side length of the square

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3 years ago
Which of the following are solutions to the equation below 3x^2+27x+54=0
VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

7 0
3 years ago
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What is bigger 6 gallons or 96 pints
daser333 [38]
96 pints are bigger

Happy studying!
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3 years ago
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Find the slope of the line through the<br> given points: (2,6) &amp; (5, 6)
snow_tiger [21]

Answer:

Zero Slope

Step-by-step explanation:

rise over run or y2 - y1 / x2 - x1

6-6/5-2 = 0/3

5 0
3 years ago
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jekas [21]

Answer:

  1. y= -12
  2. x = 7
  3. q = -1
  4. x = 24

Step-by-step explanation:

1. ..............................................

  • 6(y + 7) = 2(y - 3)
  • 6y + 42 = 2y - 6
  • 6y - 2y = -6 - 42
  • 4y = -48
  • y = -12

2...............................................

  • 3x + 2(x - 5) = 25
  • 3x + 2x - 10 = 25
  • 5x = 25 + 10
  • 5x = 35
  • x = 7

3 . ..............................................

  • 10q + 3q + 5 = 2(q - 3)
  • 13q + 5 = 2q - 6
  • 13q - 2q = -6 - 5
  • 11q = -11
  • q = -1

4. ..............................................

  • 1/3(x + 6) = 2/3(x - 9)
  • 3*1/3(x+6) = 3*2/3(x - 9)
  • x + 6 = 2(x - 9)
  • x + 6 = 2x - 18
  • 2x - x = 6 + 18
  • x = 24
3 0
3 years ago
Read 2 more answers
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