What is 20-7n=8(n-2). Please show steps.

Mathematics

1 answer:

ipn [44]3 years ago

4 0

First, you need to distribute the right side of the equation : 8n - 2

Now the equation is : 20 - 7n = 8n - 2

Add 2 to both sides : 22 - 7n = 8n

Add 7n to both sides : 22 = 15n

Divide both sides by 15 : ( I had to round this one) 1.5 = n

You might be interested in

There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of stu

Misha Larkins [42]

Answer:

2:1

Step-by-step explanation:

If you that this would be 10:5 you would be half correct

Solution:

No. of boys in glee club:No.of girl in glee club

10:5

(divided by the table of on both sides)

2:1

5 0

3 years ago

Read 2 more answers

Lesson 16

Goshia [24]

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

6 0

3 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$