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V125BC [204]
3 years ago
12

May someone explain please?

Mathematics
1 answer:
krok68 [10]3 years ago
3 0
X = 50 because they are on the same line and they are in a parallel line
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Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
Sadie has a blue ribbon and a red ribbon. The blue ribbon is 12 inches long. The blue ribbon is 3 times longer than the red ribb
yanalaym [24]
Multiplication it says time 3 so 12 times 3 is 36
7 0
3 years ago
Can anyone please help me with number 17?
sweet-ann [11.9K]

The answer is G. I know because, 1.75 * 3 (slices of pizza) = 5.25.

13.75 - 5.25 = 8.5

8.5 / 4 (hot dogs) = 2.1 (price per hot dog)

We can apply this to Sarah by saying

2 * 1.75 = 3.5

3 * 2.1 = 6.3

Added equals 9.8 or 9.75 (Sarah's total)

Correct me if I am wrong hope this helps:)

7 0
3 years ago
Find the quotient of <br> 1<br> 4<br><br> ÷<br> 3<br> 8<br><br> in simplest form
Otrada [13]
Is that suppose to be 14/38?
4 0
3 years ago
Read 2 more answers
If 0.15% of budget is spent on office supplies, what decimal should you multiply budget
VMariaS [17]

Answer:

0.015

Step-by-step explanation:

0.15% = 0.0015

{transfer}

4 0
1 year ago
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