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8_murik_8 [283]
3 years ago
12

Sarah works as a tutor helping out after school. She earns $10 for an hour of tutoring plus an additional $4.50 per student. How

many students would it take for Sarah to earn $37 for an hour of work? Use an algebraic equation to help you solve this. Be sure to define your variable, set up and solve the equation, and write your solution with labels.
Mathematics
1 answer:
ipn [44]3 years ago
4 0
37=10+4.50x
x=number of students needed to make $37
37=10+4.50x
-10 -10
27=4.50x
/4.50 /4.50
6=x

She needs to 6 students to make $37 for an hour.

Hope it helps!



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For a triangle, m<1 =75 and m<3 =40 what does m<2 =?​
VladimirAG [237]

Answer:

m<2 = 65

Step-by-step explanation:

The measures of angles 1 and 3 should be added together resulting in 115 degrees, and all triangles equal 180 degrees. Therefore, to find m<2, you have to subtract 115 from 180 resulting in a measure of 65 degrees.

7 0
3 years ago
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maks197457 [2]
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6 0
2 years ago
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What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
Ket [755]

Option C: 220 \ cm^2 is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

A=2(w l+h l+h w)

Substituting w=10 , h=5 and l=4 in the formula, we get,

A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)

Multiplying the terms within the bracket, we have,

A=2 \cdot(40 +20+5 0)

Adding all the values within the bracket, we get,

A=2 \cdot(110)

Multiplying, we have,

A=220

Thus, the surface area of the rectangular prism is 220 \ cm^2

Hence, Option C is the correct answer.

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3 years ago
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The converse of a biconditional statement is always true.<br><br> True<br><br> False
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Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

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Area of rectangle with sides 6cm and 3cm

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Therefore, area of the trapezoid

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Area of the semi circle with radius 3/2 = 1.5cm

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Total area = 24 + 1.125\pi =27.53cm^{2}

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