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Thepotemich [5.8K]
2 years ago
9

Twelve mangoes are to be shared in the ratio of 2:3:1.How many mangoes will each person get​

Mathematics
1 answer:
Leya [2.2K]2 years ago
5 0
4:6:2
this is because 2+3+1 is 6 and you divide that by 12 which is 2 and you times 2 to every ratio
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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
Which equation below represents an equation in standard form?
Goshia [24]

Answer:

C

Step-by-step explanation:

standard form is ax + by = c, which is true for the third option.

7 0
2 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Dmitrij [34]

Answer:

V = \frac{450L - 6 L^{3} }{10}

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

V = L^{2} H

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

<u>Area:</u>

Base: L×L = L^{2}

Roof: L×L = L^{2}

Side: 4 H×L = 4HL  (we have considered all four sides)

<u>Cost:</u>

Base: 4L^{2}

Roof: 2L^{2}

Side: 2.50 * 4HL = 10 HL

Total cost:

4L^{2} + 2L^{2} + 10 HL = 450

We simplify this equation further:

6L^2 + 10<em>HL </em>= 450

10HL = 450 - 6L^2

H = \frac{450- 6 L^2}{10L}  

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting H = \frac{450-6L}{10L}  in  V = L^{2} H :

V = L^2 × \frac{450 - 6L }{10L}

Simplifying it further:

V = L × \frac{450 - 6L}{10}

V= \frac{450L - 6L^3}{10} is the final answer.

3 0
3 years ago
12% of 80 working out​
horsena [70]

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12%  of 80, 80 is the whole

that means you do .12 * 80
which is equal to 9.6
<u>Thus(answer)</u>
12% of 80 = 9.6

4 0
2 years ago
Hello please help thanks
daser333 [38]

Answer:

1 and 2 SORRY IF I AM WRONG

8 0
2 years ago
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