Ask question

Ask question

All categories

grandymaker [24]

4 years ago

7

If Joe earns $25 per hour during a normal week (40 hours per week), but earns $37.50 per overtime, how much does he earn in 48 h

ours?

1 answer:

Svetradugi [14.3K]4 years ago

4 0

Answer:

1300

Step-by-step explanation:

Regular time is 40 hours at 25 dollars per hour

Regular pay is 40*25 = 1000

He worked 48 hours, 48-40 =8, so he worked 8 hours overtime

8 hours at 37.50 overtime pay

8*37.50=300

His total pay is regular pay plus overtime pay

1000+300 = 1300

You might be interested in

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

Last year there were 520 students enrolled at Olsen Middle School . This year there are 572 students enrolled. What is the perce

RSB [31]

Answer:

10%

Step-by-step explanation:

We have procent:

520 —-> 100%

572 ——> x%

So, it is:

520*x=572*100

X=57200/520=110%

110%-100%=10%

6 0

3 years ago

100 points + brainiest

Scrat [10]

Answer:

35 grams of 11.43% solution

Step-by-step explanation:

The end solution has same volume as initial volumes of mixture.

10 + 25 = 35 g

The concentration of solution is calculated as below

10*0.15 + 25*0.1 = 4 g
4 / 35*100% = 11.43% (rounded)

6 0

3 years ago

Point O is on line segment \overline{NP}

Kobotan [32]

Answer:

$OP = 11$

Step-by-step explanation:

Given

OP = 4x - 5

NP = 3x + 4

NO = 2x - 3

Required

Determine the value of OP

Since O lines n the segment, them

$NP = NO+ OP\\$

$3x + 4 = 2x - 3 + 4x - 5$

Collect Like Terms

$3x - 2x - 4x = -3 -5 - 4$

$-3x=-12$

$x = \frac{-12}{-3}$

$x = 4$

Substitute 4 for x in OP = 4x - 5

$OP = 4 * 4 - 5$

$OP = 16 - 5$

$OP = 11$

4 0

4 years ago

5.<br> Factorise each of the following.<br> (a)-15ab-6ab² <br> (b) 6x(2y-5)-3(5-2y)

Kobotan [32]

(a).
-15ab-6ab^2
= -(15ab+6ab^2)
= -ab(15+6b)
= -3ab(5+2b)

(b).
6x(2y-5)-3(5-2y)
= 6x(2y-5)+3(2y-5)
= (6x+3)(2y-5)
= 3(2x+1)(2y-5)

Tip: If you want to check your answer for (a), you can always simplify it back and see whether it is same as the question.

Hope this helps : )

7 0

2 years ago