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Snezhnost [94]
3 years ago
13

A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour wo

rked over 40 hours. Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week?

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

Answer:

This is the answer on APEX. Hope it helps!!

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A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dime
sammy [17]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

∴ 2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

∵ x represents the width of the carpet

∴ The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

∴ The length of the carpet is 82 inches

∴ The dimensions of the carpet are 15 inches and 82 inches

3 0
3 years ago
Solve the equation 12x+6y=24 for x
vlabodo [156]

Answer:

x=2-1/2y

Step-by-step explanation:

12x+6y=24

12x=24-6y

x=24/12-6/12y

x=2-1/2y

6 0
2 years ago
Which correlation coefficient represents a moderate negative correlation? a.r = –0.04 b. r = –0.24 c.r = –0.64d. r = –0.94
jonny [76]

Answer: r = -0.64


Step-by-step explanation:

The correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r. Values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship .

Values between -0.3 and -0.7 indicate a moderate negative linear relationship .

The only value of r in the option is r= -0.64 lies in given interval of moderate negative linear relationship .

Therefore, c is the right answer.

5 0
2 years ago
Read 2 more answers
What does the coefficient do to the variable?
Lelechka [254]

Answer: A number used to multiply a variable. An example: 6x means 6 times x, and "x" is a variable, so 6 is a coefficient.

8 0
3 years ago
A carton of orange juice holds 10 cups. A recipe for fruit smoothies requires 1 1/4 cups of orange juice. How many recipes could
Vera_Pavlovna [14]

Answer:

8 reciples

Step-by-step explanation:

10 ÷ \frac{5}{4} = 10 x \frac{4}{5} = 8

6 0
2 years ago
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