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1 year ago

If four times a number, added to 3 is divided by the number plus 2, the result is seven halves. Find the number.

Mathematics

1 answer:

dmitriy555 [2]1 year ago

4 0

Answer:

X=-8

Step-by-step explanation:

A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:

$\frac{4x + 3}{x + 2} = \frac{7}{2}$

Now, let's cross multiply:

$2(4x + 3) = 7(x + 2)$

$8x + 6 = 7x + 14$

And solve:

$x + 6 = 14$

$x = - 8$

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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:

Area:

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

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

Cost:

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

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

We simplify this equation further:

6 $L^2$ + 10HL = 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

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

The figure below shows three small circles, each

jenyasd209 [6]

The answer is A (54pi square cm)

4 0

2 years ago

What is 8/10 divided by 1 5/6

sveta [45]

1st change 1 5/6 into a mixed number:
1 5/6 = 11/6

New problem:
8/10 divided by 11/6

to divide fractions you turn the 1st fraction upside down and then change the division sign to a multiplication sign:

8/10 / 11/6
10/8 * 11/6
=55/24 or 1 7/24

5 0

3 years ago

Read 2 more answers

You are at a restaurant and your bill comes to $31.18. The sales tax is 6% and you give the waitress a 20 percent tip on the tot

Vanyuwa [196]

Answer:

$ 0.34 or 34 cents

Step-by-step explanation:

Bill amount = $31.18

sales tax = 6% of $31.18

= 0.06 ($31.18)

= $1.8708

Bill with tax = $31.18+$1.8708

= $33.0508

value of tip = 20% of 33.0508

= 6.61016

Total payment = 33.0508+ 6.61016

= $39.66096

or $39.66

We get change of $40 - $39.66

= $ 0.34

We shall get back in cents that will be 34 cents

7 0

3 years ago

What’s the correct answer for this?

DiKsa [7]

48 degrees

The triangles are congruent, so if angle B is between side lengths 6 and 6.2, it’s going to be the same for the other triangle

6 0

3 years ago