George Keller, a small-engine mechanic, earns a regular hourly rate of $15.68. For overtime, he earns time and

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

$1,034.88

Step-by-step explanation:

since he earns time and a half on Saturdays, he gets $23.52 per hour. on Sundays,he earns double time, it is $31.36 per hour. when you multiply his regular rate per hour with 40, you have $627.20. His Saturday rate with 8, $188.16. And his Sunday rate with 7, $219.52. Add all those together, and you have an answer!

hope I helped...

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Simplify (x-5)(x^2-2x-6)

spin [16.1K]

Answer:

x³ - 7x² + 4x + 30

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis

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= x³ - 7x² + 4x + 30

6 0

3 years ago

Triangle ABC with vertices A(2, 4) , B(4, 0) , and C(6, 6) is dilated about the origin to be triangle A′B′C′ .

natka813 [3]

Answer:

Triangle ABC is dilated by a scale factor of 1.5

Step-by-step explanation:

The general rule for the dilation about the origin with a factor of k is

$(x,y)\rightarrow (kx,ky)$

You are given two triangles ABC and A'B'C'.

In triangle ABC:

A(2,4)
B(4,0)
C(6,6)

From the diagram, in triangle A'B'C':

A'(3,6)
B'(6,0)
C'(9,9)

As you can see

$A(2,4)\rightarrow A'\left(\dfrac{3}{2}\cdot 2,\ \dfrac{3}{2}\cdot 4\right)=A'(3,6)$
$B(4,0)\rightarrow B'\left(\dfrac{3}{2}\cdot 4,\ \dfrac{3}{2}\cdot 0\right)=B'(6,0)$
$C(6,6)\rightarrow C'\left(\dfrac{3}{2}\cdot 6,\ \dfrac{3}{2}\cdot 6\right)=C'(9,9)$