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Alecsey [184]
3 years ago
10

sals sporting goods company plans to sell items at a local football staduim. They will sell two items that have the home team’s

logo: hats for $12 and shirts for $20. They must pay the stadium $500 for the right to sell merchandise, and they must pay the home team $1.50 for each item with their team’s logo. Production cost $7 and $9 for each shirt. They only have enough space for 200 items. What possible combinations of hats and shirts will create a profit (when income is more than expenses)?

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

12h + 20t = income

1.5(h + t) + 7h + 9t + 500 = expenses

12h + 20t - 1.5(h + t) + 7h + 9t + 500 > 0

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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli
Tanzania [10]

Answer:

  • The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
  • The solution x = 60 represents the total food bill.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The food bill (x) plus the tip (16) ;divided by the number of friends (8) , must be equal to the total amount spent (76) divided by the number of friends (8):

Mathematically speaking:

(x+16) /8 = 76/8

(x+16) /8 = 9.5

(x+16) = 9.5 (8)

x+16 = 76

x = 76-16  

x= 60 (food bill)

So, the correct options are:

  • The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.

(1/8 (x+16) =76/8)

  • The solution x = 60 represents the total food bill.

3 0
2 years ago
Read 2 more answers
The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
gayaneshka [121]

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

6 0
2 years ago
Brooklyn has $88 in her savings account she say the same amount of money each week for 32 weeks after which she has a total of $
jeyben [28]

$200 - $88 = $112

$112 / 32 weeks = $3.50

Brooklyn saved $3.50 each week

3 0
3 years ago
Which statement is true about f(x)-2/3lx+4l-6?
slamgirl [31]
1) Taking in account that the function is f(x)= -(2/3) |x+4|-6, I enclose a file with the graph.

That helps you to conclude:

a) The graph of f(x) has a vertex on (-4, -6)

b) When you multiply a function times 2/3 it is vertically compressed which is equivalent to horizontally streched.

c) The graph of f(x) opens downward

d) The domain of f(x) is all the real values (the absolute function accepts any value of x either positive or negative)

Answer: the graph of f(x) is horizontally stretched.

7 0
2 years ago
Read 2 more answers
Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
3 years ago
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