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Gekata [30.6K]
2 years ago
9

Carlos is paid $17.90 per hour regularly. If he worked 45 hours last week, what was his gross pay? Carlos is paid at time-and-a-

half for overtime.
Mathematics
1 answer:
exis [7]2 years ago
3 0

Answer:

$ 850.25

Step-by-step explanation:

I will assume anything over 40 hours is 'overtime'

total pay will be

   regular pay    +   overtime pay

 17.90 * 40 hr    +   (17.90 * 1.5)(5hr) = $ 850.25

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Svet_ta [14]
13/15 is the answer
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4 years ago
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The ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
Gelneren [198K]
First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.

a^2 + b^2 = c^2

Substitute

a^2 + (5)^2 = (20)^2

Solve for a^2

a^2 = (20)^2 - (5)^2

Solve for a

a = 5 √15

The slope will be rise over run

5/5 √15 = √15/15 or 0.258…
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3 years ago
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5 0
3 years ago
Which of the following statements are true regarding functions?<br><br> Check all that apply.
Alex

Answer:

The horizontal line test may be used to determine whether a function is one-to-one.
The vertical line test may be used to determine whether a relation is a function.

Step-by-step explanation:

3 0
2 years ago
Which is the completely factored form of 12x3 – 60x2 + 4x – 20?
Natalija [7]

Answer:

4(x-5)(3{x}^{2}+1)

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 4.

2 - What is the highest degree of x that divides evenly into 12x^3,-60x^2,4x, and -20 ?

It is 1, since x is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})

3) Simplify each term in parentheses.

4(3{x}^{3}-15{x}^{2}+x-5)

4) Factor out common terms in the first two terms, then in the last two terms.

4(3{x}^{2}(x-5)+(x-5))

5)  Factor out the common term x-5.

4(x-5)(3{x}^{2}+1)

5 0
2 years ago
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