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JulsSmile [24]
2 years ago
6

Question and answer choices are in the screenshot. THANK YOU!!

Mathematics
1 answer:
Anika [276]2 years ago
5 0
I 11 x - 22 I > 22
∴ 11x-22 > 22          OR          (11x -22) < -22
∴ 11 x > 44             ::::::::          11x - 22 < -22
    x > 4                   ::::::::              x < 0

∴ x ∈ ( -∞ , 0 ) ∪ ( 4 , ∞)
∴ The correct choice is number 1
The solution is attached in the figure

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Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
navik [9.2K]

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

3 0
2 years ago
A salesman’s commission on a $150,000 sale is $3,000. What percent is his commission?
Elenna [48]

Answer:

The commission percentage is 2%

Step-by-step explanation:

To find the percentage of a commission, start by dividing the commission amount by the total amount sold.

3,000/150,000 = .02 = 2%

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2 years ago
A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr
guajiro [1.7K]

Step 1

Find the Volume of the two balls

we know that

the Volume of a sphere is equal to

V=\frac{4}{3} \pi r^{3}

In this problem we have

r=1.5\ in

Substitute

V=\frac{4}{3} \pi 1.5^{3}=4.5\pi\ in^{3}

so

the volume of the two balls is equal

V=2*4.5\pi=9 \pi\ in^{3}

Step 2

Find the volume of a cylinder

we know that

The Volume of a cylinder is equal to    

V=\pi r^{2}h

In this problem we have

r=1.5\ in

h=4*r=4*1.5=6\ in    

Substitute

V=\pi (1.5^{2})(6)=13.5 \pi\ in^{3}

Step 3

Find the amount of wasted space in the cylinder

Subtract the volume of the two balls from the volume of the cylinder

13.5\pi\ in^{3}-9\pi\ in^{3}=4.5\pi\ in^{3}=14.14\ in^{3}    

Step 4

Find the volume of the square prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

B=(2*1.5)^{2}=9\ in^{2} -----> the base is equal to the diameter    

h=4*r=4*1.5=6\ in  

Substitute

V=9*6=54\ in^{3}

Step 5

Find the amount of wasted space in the prism

Subtract the volume of the two balls from the volume of the prism

54\ in^{3}-9\pi\ in^{3}=25.73\ in^{3}  

Step 6

Compare the amount of wasted space

the amount of wasted space in the cylinder is 14.14\ in^{3}

the amount of wasted space in the prism is  25.73\ in^{3}

Find the difference

25.73\ in^{3}-14.14\ in^{3}=11.59\ in^{3}=11.6\ in^{3}

The package that has the least amount of wasted space is the cylinder

therefore

<u>the answer is the option</u>

the cylinder because it has approximately 11.6 in.3 less wasted space than the prism

5 0
2 years ago
Read 2 more answers
22. What is the percent of increase for a population<br> that changed from 438,000 to 561,000?
ra1l [238]

Answer: 28.08%

Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.

The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.

561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.

So when the population changes from 438,000 to 561,000, it has increased by 28.08%.

5 0
2 years ago
Find the image of Z(1,1) after two reflections, first across line L1, and then across line L2. L1: x=2, L2: y-axis
dimulka [17.4K]
After a reflection across line L1, x = 2, the afterimage is
Z' (2 + (2-1) ,1) = Z' (3, 1)
After a reflection across the line L2, y-axis, the afterimage is
Z'' (3, 0 + (0 - 1) = Z'' (3, -1)<span />
3 0
2 years ago
Read 2 more answers
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