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dlinn [17]
3 years ago
12

Nicole works 50 hours a week and earns $25 per hour. Her company pays overtime of one and half times for all hours worked over 4

0 hours. What is her gross weekly pay?
Mathematics
1 answer:
ankoles [38]3 years ago
4 0
Her gross weekly pay would be $1375.

25 * 40 = $1000

time and a half means she would make $37.50 for the 10 hours overtime she works. 10 * 37.5 = 375

375 + 1000 = $1375
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A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var
777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝\frac{1}{e}

and i will call the constant of variation k, this way we can make an equation for b in the following form:

b=k\frac{cd}{e}

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

b=18\\c=4\\d=9\\e=6

substituting this in our equation for b:

b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}

and we solve operations and clear for the constant of variation k:

18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k

the constant of variation is 3.

4 0
3 years ago
Read 2 more answers
A catering company loses $110 as a result of a delay.
faust18 [17]

Answer: Positive

Step-by-step explanation: It would be positive because the question is asking how much money they lost. The lost a positive amount of money.

7 0
1 year ago
26) Hailey is 3 times as old as Maverick.
Dahasolnce [82]

Let H = Hailey's age and M = Maverick

Hailey is 3 times as old as Maverick: H = 3M

The sum of their ages is 48 years: H + M = 48

Since H = 3M, substitute 3M in place of H in the second equation:

H + M = 48

3M + M = 48

4M = 48

M = 12

Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.

5 0
3 years ago
Read 2 more answers
Question 1(Multiple Choice Worth 1 points)
Galina-37 [17]

Answer:

The answer is b. x= 2, -1

5 0
3 years ago
Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 fo
Lilit [14]

Hot Dog Stand

Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

C=0.5x+1.5

where

The slope of the linear equation is equal to 0.5\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$1.5

That means -------> This is the cost of the hot dog without topping  

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

C=0.25x+2.50

where

The slope of the linear equation is equal to 0.25\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$2.5

That means -------> This is the cost of the hamburger without topping

therefore

<u>the answer is</u>

The linear equation of the hamburger cost is equal to

C=0.25x+2.50


4 0
3 years ago
Read 2 more answers
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