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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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A.The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the

Ainat [17]

Answer:

8.68 seconds

Step-by-step explanation:

Given:

Height of the deck above the street, s = 370 m

Since the condition is of free falling

thus,

initial speed, u = 0

Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²

Now,

from Newton's equation of motion, we have

$s=ut+\frac{1}{2}at^2$

here,

s is the distance

a is the acceleration

t is the time

on substituting the values, we get

$370=0\times t+\frac{1}{2}\times9.81\times t^2$

t² = 75.433

t = 8.68 seconds

8 0

3 years ago

X+2(x+3(x+4(x+5)))=153

Allushta [10]

Answer:

$x=1$

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$

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dlinn [17]

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lutik1710 [3]

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3 years ago

Find the area of the circle to the nearest whole number, if necessary!

astra-53 [7]

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

$A=\pi r^{2}$

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

$A=\pi (21)^2\\A=441\pi \\A=1385.44236...$

So, to the nearest whole number, the area of the circle is 1385 square mm.

5 0

2 years ago