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aliina [53]
3 years ago
8

A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for

the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.
Enter your answer in the form: C = ahb + chw, where a, b, c are integers.
Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

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Two friends decide to run everyday for exercise Steve runs 2.5 miles per day. Sam runs 6.5 miles per day gho many days will it t
Ilia_Sergeevich [38]

Hey there! I'm happy to help!

We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.

We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.

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Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!

Have a wonderful day! :D

8 0
3 years ago
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Answer:

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Given:
x   y
0  40
4  120

y = fixed amount + v(x)
y = 40 + v(0)
y = 40

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The fixed amount charged is 40.

The variable amount is 20 per day.
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