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3 years ago

Which is the best interpretation of the solution set for the compound inequality?

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

3(2x +1) > 21 . . . . . . given

6x +3 > 21 . . . . . . . . eliminate parentheses

6x > 18 . . . . . . . . . . .subtract 3

x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

The solution to the second inequality is ...

4x +3 < 3x + 7 . . . . given

x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

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I have a mixture of $1 and $5 bills. There are a total of 73 bills that total $233 dollars. how many ones and fives I have ?

ozzi

Answer:

you have 33 ones and 40 fives

Step-by-step explanation:

8 0

2 years ago

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

2 years ago

There are 80 pupils in a school. If 32 are boys, what percentage are boys?

maks197457 [2]

Answer:

40%

Step-by-step explanation:

32/80=.4

8 0

2 years ago

Read 2 more answers

What is the answer to this 8⁄10 – 1⁄5

AnnZ [28]

1/80 = 0.0125
1/5 = 0.2

0.0125-0.2 = -0.1875
-0.1875 = -3/16

7 0

2 years ago

Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?

Scorpion4ik [409]

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.

7 0

3 years ago