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aksik [14]
3 years ago
5

Maradee works at Cox's Jewelers for $7.50 per hour with time-and-a-half for all hours over 40 in a week. Thus, her weekly salary

is given by
S(h) = 11.25h + 300
where h is the number of overtime hours and S(h) is her weekly salary. (See Example 5.)
(a) Find S(8.5). (Round your answer to two decimal places.)
$

(b) One week, Maradee worked 47 hours. Find her salary for that week.
$

(c) Maradee's Valentine week salary was $398.61. How many hours overtime did she work? (Round your answer to one decimal place.)
hr

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

a) 395.725

b) 378.75

c) 8.8

Step-by-step explanation:

a) S(8.5) = 11.25(8.5) + 300 = 395.625

b) if she worked 47 hrs, that means there were 7 overtime, h=7 and we have to find S(7).

S(7) = 11.25(7) + 300 = 378.75

c) her salary was 398.61, that means S(h) = 398.61 and we have to find h.

398.61 = 11.25(h) + 300

98.61 = 11.25(h)

h = 98.61 / 11.25

h= 8.8

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MacKenzie surveys 80 of her classmates and finds that 65% of them like sports. She also finds that 75% of her 64 relatives like
umka2103 [35]

Answer:

65%×80=52

(80-52=28) no of classmates who liked sports

75%×64=48

(64-48=16) no of relatives who liked sports

no of classmates who liked sports - no of relatives who liked sports

= 28-16 = 12

Hence, 12 more of her classmates like sports as compared to her relatives

7 0
3 years ago
Read 2 more answers
Volume problem. Will give brainliest
Orlov [11]

Answer:

<em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

Step-by-step explanation:

1. Let us first find the volume of the gas the tank, by the general multiplication of Base * height ⇒ 11 inches * 1.25 feet * 1.75 feet. For the simplicity, we should convert feet ⇒ inches, as such: 1.25 feet = 1.25 * 12 inches = 15 inches, 1.75 feet = 1.75 * 12 inches = 21 inches. Now we have a common unit, let us find the volume ⇒ 11 in. * 15 in. * 21 in. = 3465 inches^3.

2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.

4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>

5. Now this tank is 20% full, so we must calculate the cost to fill the other 80% up. That would be 80/100 * 42 = 4/5 * 42 = 168/5 = <em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>

7 0
3 years ago
1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present a
sesenic [268]

Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

You helped me before so thank you

4 0
3 years ago
What value of x is in the solution set of 3(x-4)greater than or equal to 5x+2
Gnesinka [82]

3(x-4)>= 5x+2

Distributing 3 on x-4

3(x)-3(4)>=5x+2

3x-12>=5x+2

Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides

-2x >=14

Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is

x<=-7

5 0
3 years ago
Plsss Helpppp!
vfiekz [6]

Answer:

11/12 = 3/4

Step-by-step explanation:

sorry that's the only one I know :(

5 0
3 years ago
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