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4 years ago

Write an inequality from (–5) to (–1) inclusive

Mathematics

1 answer:

skad [1K]4 years ago

8 0

Answer:

$-5\leq x\leq -1$

Step-by-step explanation:

This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign ( $\leq or \geq$ ) instead of just less than or greater than ( < or >).

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A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain?

kvasek [131]

Answer:

The swimming pool will contain approx $8243\ gal$ of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are $20\ feet$ diameter with a height of $3.5\ feet.$

Also, $1\ ft^3 =7.5\ gal$

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be $\pi r^2h$

The height $(h)$ is given as $3.5\ feet.$ To calculate radius $(r)$ we will divide the diameter by two.

The radius of the cylinder would be $\frac{20}{2}=10\ feet$

Plug these values in the formula we get,

$\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3$

Now, it is given $1\ ft^3 =7.5\ gal$

So, $1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal$

The swimming pool will contain approx $8243\ gal$ of water.

6 0

3 years ago

Simplify the Expression<br> 2(x +14) - (2x - 5)

elena55 [62]

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

7 0

3 years ago

Find the value of x that makes Triangle DEF~ triangle XYZ.

BartSMP [9]

Answer:

x = 4

Step-by-step explanation:

DE / XY = EF / YZ

5 / 10 = 2x-1 / 14

cross-multiply:

10(2x-1) = 14(5)

20x - 10 = 70

20x = 80

x = 4

8 0

3 years ago

ANYONE FEEL LIKE THEY DON'T BELONG

creativ13 [48]

Answer:

all the time

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

One number is 9 more than twice another. If their difference is 22, what is the larger number?

mafiozo [28]

Let, the numbers are: x, y
So, Equations will be: x - y = 22
x = 2y + 9

Substitute the value of x in first equation,
2y + 9 - y = 22
y = 22 - 9
y = 13

x - 13 = 22
x = 22 + 13 = 35

In short, Larger number would be 35

Hope this helps!

4 0

3 years ago