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3 years ago

2. The ratio of

Mathematics

1 answer:

denpristay [2]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the ratio of the profit, cost of materials and labour in the production of

an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25

If the cost of labour is x, the cost of material will be 840+x (since the cost of materials is Le 840 more than that of labour) .

Let the total cost of producing the article be y.

Cost of labour = 13/25 * y = x

Cost of labour = 13y/25 = x.................... 1

Cost of material = 7/25*y = 840+x

Cost of material = 7y/25 = 840+x ..................... 2

From 1, 13y = 25x

x = 13y/25 ................... 3

Substituting equation 3 into 2:

7y/25 = 840+x

7y/25 = 840+13y/25

collect the like terms:

7y/25 - 13y/25 = 840

-6y/25 = 840

-6y = 25*840

y = 25*840/6

y = 3,500

<em>Hence the total cost of producing the article is 3500</em>

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The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the area of the semicircle rounded to

padilas [110]

You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.

A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43

The approximate area of the semi circle is 113.43 mm².

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4 years ago

What are the first terms of the sequence

allsm [11]

Answer:

First five terms are:

4300, 4240, 4180, 4120, 4060

Step-by-step explanation:

Minus 60 from the predicted number of cars in the first month to get the second month, then do the same for the predicted number of cars in the second month to get the third month and so on.

The expression for the nth term would be = 4300 - (n-1)(60)

= 4360 - 60n

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3 years ago

The cost, in dollars, of producing x belts is given by C(x) = 634 + 18x - 0.071 x^2. Find the rate at which average cost is chan

o-na [289]

Answer:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

Step-by-step explanation:

The cost of producing x belts is given by:

$C(x) = 634 + 18x - 0.071x^{2}$

Find the rate at which average cost is changing when 324 belts have been produced.

This is $C'(324)$ . So

$C(x) = 634 + 18x - 0.071x^{2}$

$C'(x) = -0.142x + 18$

$C'(324) = -28$

So the correct answer is:

When 324 belts have been produced, the average cost is changing at -28 dollars for each additional belt.

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3 years ago

Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

tekilochka [14]

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

18 252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

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3 years ago

Dr. Gonzalez is considering joining the Garden Club. If he pays a $25 membership fee, he

ziro4ka [17]

Answer:

In the Garden Club the cost will be a fixed fee of $25 and $10 for each rosebush, so if he buys X rosebushes, the total cost will be:

C1(X) = $25 + $10*X

While in the local nursery there is no initial cost, and each rosebush costs $15, so if he buys X rosebushes, the total cost will be:

C2(X) = $15*X

Now, let's find the value of X where C1 and C2 are equal, this is:

$25 + $10*X = $15*X

$25 = $15*X - $10*X = $5*X

X = 25/5 = 5

This means that if he buys 5 rosebushes, he will pay the same amount in both places.

If he buys less than 5 rosebushes, he will pay less in the local nursery (as it has a bigger slope, but no initial fee)

If he buys more than 5 rosebushes, he will pay less in the Garden club (because it has a smaller slope)

5 0

3 years ago