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3 years ago

What property is used in the second step of solving the inequality below?

Mathematics

2 answers:

Mkey [24]3 years ago

6 0

Answer: The correct option is, (B) Addition property

Step-by-step explanation:

Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.

For example : If x = y then x + z = y + z

Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.

For example : If x = y then x × z = y × z

Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (z).

For example : If x = y and y = z then x = z

The given inequality expression is,

5x - 9 < 91

5x -9 + 9 < 91 + 9

(Using Addition property because we are adding 9 on both the side)

5x < 100

5x ÷ 5 < 100 ÷ 5

(Using Division property because we are dividing by 5 on both the side)

x < 20

Therefore, addition property is used in the second step of solving the inequality.

yKpoI14uk [10]3 years ago

6 0

5x - 9 < 91 --- given
5x - 9 + 9 < 91 + 9
5x < 100 --- addition property....because I added 9 to each side
x < 100* 1/5 --- multiplication property
x < 20

so, step 2, we used the addition property

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Express 8.218.218, point, 21 as a mixed number.

Nikolay [14]

Answer:

8 21/100

Step-by-step explanation:

8.21 is read "eight and twenty-one hundredths". The mixed number "eight and twenty-one hundredths" is written ...

8 21/100

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3 years ago

A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon

DanielleElmas [232]

To solve this we are going to use the formula for the volume of a sphere: $V= \frac{4}{3} \pi r^3$
where
$r$ is the radius of the sphere

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, $r= \frac{24}{2} =12$ . Lets replace that in our formula:
$V= \frac{4}{3} \pi r^3$
$V= \frac{4}{3} \pi (12)^3$
$V=7238.23 cm^3$

Now, the second diameter of our sphere is 36, so its radius will be: $r= \frac{36}{2} =18$ . Lets replace that value in our formula one more time:
$V= \frac{4}{3} \pi r^3$
$V= \frac{4}{3} \pi (18)^3$
$V=24429.02$

To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium= $24429.02cm^3-7238.23cm^3=17190.79cm^3$

We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>

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3 years ago

What is the sign of the product (-7)(-2)(-5)(1)? (5 points) ]

DIA [1.3K]

As a rule the product of an ODD number of NEGATIVE SIGNS is always NEGATIVE

An the product of an EVEN number of NEGATIVE SIGNS is always POSITIVE
Then the following statement is the right one:
Negative, because the product (-7)(-2) is positive, and the product (-5)(1) is negative and the product of a positive and a negative number is negative

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3 years ago

In how many ways can 4 boys and 4 girls sit around a circle table if all the boys sit together? (Rotations of the same arrangeme

Snezhnost [94]

There are 4! ways to sit the boys, and 4! ways to sit the girls.
Whether the boys sit to the left or the right of the girls don't matter, since it is a circular table AND rotations are not considered distinct arrangements.
So the total number of arrangements is the product of the two, namely n=4!4!. (note: (4!)^2 or (four factorial) squared.

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4 years ago

Kenji threw

ankoles [38]

Answer:

the answer is 18

Step-by-step explanation:

79-61=18.

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3 years ago