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anygoal [31]
3 years ago
6

What is the solution to the compound inequality? -8< 2x-4<2

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

–2 < x < 3

Step-by-step explanation:

–8 < 2x – 4 < 2

Add 4 to all parts:

–8 + 4 < 2x – 4 + 4 < 2 + 4

Simplify:

–4 < 2x < 6

Divide all parts by 2:

(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)

Simplify:

–2 < x < 3

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2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
4vir4ik [10]

Answer:

It's required 7.48\ m^2 of sheet for the tank

Step-by-step explanation:

<u>Surface Area of a Cylinder</u>

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

S=2\pi r^2+2\pi r h

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

S=2\pi 0.7^2+2\pi (0.7)(1)

S=2\pi 0.49+1.4\pi

S=2.38\pi

\boxed{S=7.48\ m^2}

It's required 7.48\ m^2 of sheet for the tank

7 0
3 years ago
Find the ratio of the following with solution<br>a. 30min:1.5hours​
scoray [572]
Ok 30min:120 min

= divided both by 30

~ gives you 1:4
4 0
2 years ago
Read 2 more answers
Which strategy best explains how to solve this problem? Apples cost $1.25 per pound. Oranges cost $1.49 per pound. Krystal wants
ValentinkaMS [17]
The best strategy is to use the tables in this example. The tables will give an exact cost for an exact number of apples or oranges. You can then use these pieces of information to determine which number of apples and oranges will get you closest to $10.

The diagram strategy is not accurate based on the information.

The double bar graph is also not going to work because the two pieces of information are related, so you would not create a separate bar for the price and the number of apples.
6 0
3 years ago
I am bad at algebra2 I need help solving this please
Nikolay [14]
3x/8  divided by 7y/4
you can not divide fractions, so you must multiply by the reciprocal.

3x/8  x  4/7y   now you can simplify the 4 and 8
3x/2 x 1/7y   now multiply across
3x/2(7y)
3x/14y  should be your answer
8 0
3 years ago
(x + 2)(x2 + 5x + + 1)
butalik [34]

Answer:

{x}^{3}   + 7 {x}^{2}  + 11x + 2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

6 0
3 years ago
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