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jek_recluse [69]
3 years ago
10

Climbing at an indoor rock-climbing gym costs $8 per hour. Lizbeth has a $30 gift card to spend at the gym. Write an algebraic e

xpression for the dollar amount Lizbeth will have left on the card after she spends h hours climbing. Can Lizbeth climb for 4.5 hours using only her card? Explain how you know.
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

8h=30

Lizbeth can not climb for 4.5 hours.

Step-by-step explanation:

If you plug in 4.5 for h you get

8(4.5)=30

36 does not equal 30

Therefore Lizbeth can't climb for 4.5 hours

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S=2A_{b}+P_{b}h

c. What is the surface area of the figure?

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Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism


b. What is the formula for total surface area for this shape?

Total Surface area:

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Perimeter of the base: Pb

Height of the prism: h


c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

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Then, replacing in the formula the known values:

S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}


8 0
3 years ago
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