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Reika [66]
3 years ago
11

Three friends got jobs at stores in the mall. Nina earns $117.60 for hours 14 of work. Ty earns for $148.50 hours 18 of work. Ki

m earns for $137.60 hours 16 of work. Who has the highest pay rate in dollars per hour?
Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

Kim has the highest pay rate in dollars per hour

Step-by-step explanation:

we know that

To find out the unit pay rate divide the total earning by the total time

so

Nina earns $117.60 for hours 14 of work

\frac{117.60}{14}=\$8.4\ per\ hour

Ty earns for $148.50 hours 18 of work

\frac{148.50}{18}=\$8.25\ per\ hour

Kim earns for $137.60 hours 16 of work

\frac{137.60}{16}=\$8.60\ per\ hour

8.6 > 8.4 > 8.25

therefore

Kim has the highest pay rate in dollars per hour

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How to solve by the square root property
nata0808 [166]
First, you want to divide both sides by 3 to isolate your variable. You get x^2 = 9. The square root of x^2 and 9 equals x = 3. 

x = 3 is your answer.
4 0
3 years ago
Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensions
Pachacha [2.7K]

Answer:

132\ in^{2} is closest to the total surface area of the box

Step-by-step explanation:

we know that

The surface area of the box is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the box

we have

L=7\frac{3}{4}\ in=\frac{7*4+3}{4}=\frac{31}{4}\ in

W=3\frac{1}{4}\ in=\frac{3*4+1}{4}=\frac{13}{4}\ in

H=3\frac{7}{8}\ in=\frac{3*8+7}{8}=\frac{31}{8}\ in

<em>Find the area of the base B</em>

B=LW

B=(\frac{31}{4})(\frac{13}{4})=\frac{403}{16}\ in^{2}

<em>Find the perimeter of the base P</em>

P=2(L+W)

P=2(\frac{31}{4}+\frac{13}{4}))

P=2(\frac{44}{4})=22\ in

<em>Find the surface area</em>

SA=2(\frac{403}{16})+22(\frac{31}{8})

SA=(\frac{403}{8})+(\frac{682}{8})

SA=\frac{1,085}{8}=135.625\ in^{2}

6 0
3 years ago
Find the area of the figure
fiasKO [112]

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

7 0
2 years ago
A local school has was evaluated the the Education Department and received the
Angelina_Jolie [31]

Answer: 79

Step-by-step explanation:

Given the following :

Graduation Rates:

Grade:82

Weight: 50%

Passing Rates:

Grade: 75

Weight: 30%

Enrollment Numbers:

Grade: 60

Weight: 10%

Career readiness:

Grade: 95

Weight: 10%

Overall score : Σ(grade × weight)

(82 × 50%) + (75 × 30%) + (60 × 10%) + (95 × 10%)

= (41 + 22.5 + 6 + 9.5)

= 79

Hence, overall score is 79

5 0
3 years ago
Simplify the expression 4(2+9x−1)
lapo4ka [179]

multiply everything in the parentheses by 4 so, 8+36x-4

8 0
3 years ago
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