3 years ago

4(x – 1) < 20 and x + 6 > 9

Mathematics

1 answer:

JulijaS [17]3 years ago

6 0

Answer: x < 6, x > 3
Explanation:
4(x-1) < 20
4x-4 < 20
4x < 24
x < 24/4
x < 6

x + 6 < 9
x < 3

You might be interested in

An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5

harina [27]

7in * 1ft/0.5in = 14ft

5 0

3 years ago

Read 2 more answers

Each month, a phone company charges $30 talk time plus $0.50 for each additional minute.

OlgaM077 [116]

Answer:

Step-by-step explanation: If 1 minutes of talk = 30 and texting = 30

and each additional minute of talk = 0.50

then the bill would be (for C = total cost)

C = 20+30+(0.45 • x)

C = 50 + 0.45x

6 0

3 years ago

Read 2 more answers

What is the volume of a pyramid with a base of 22 and a height of 24

larisa86 [58]

Answer:3872

Step-by-step explanation: If base length and base width equal 22, and pyramid height is 24 then you multiply those and divide by three.

V= $\frac{22x22x24}{3}$

8 0

3 years ago

-6•-2+3+3-4 evaluate the expression

12345 [234]

Answer:

$- 6 - 2 + 3 + 3 - 4 \\ = > - 6 - 2 + 6 - 4 \\ = > - 6 - 8 - 4 \\ = > - 14 - 4 \\ = - 18$

7 0

3 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

7 0

3 years ago