MATHEMATICS MIDDLE SCHOOL

The solution set of which of the following equations isthe set of real numbers that are 5 units from −3 ?
F. |x + 3| = 5
G. |x − 3| = 5
H. |x + 5| = 3
J. |x − 5| = 3
K. |x + 5| = −3

Answers

Answer 1
Answer: F.\ |x+3|=5\n\nbecause:\n\n|x+3|=5\iff x+3=5\ \vee\ x+3=-5\n\nx=5-3\ \vee\ x=-5-3\n\nx=2\ \vee\ x=-8\n\n|-3-2|=|-5|=5\n|-3-(-8)|=|-3+8|=|5|=5

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If P(A) = 0.996, what is the value of P(A)?

Answers

Answer:

p(a) = 0

Step-by-step explanation:

p(a) = 0.966

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How to solve 2+1/6a=-4

Answers

2+ (1)/(6a) =-4\Leftrightarrow 6+(1)/(6a)=0\Rightarrow 36a=-1\Rightarrow a=-1/36
2+ (1)/(6)a=-4

(1)/(6)a=-6

1a=-6*6

a=-36

What fraction is less than 1/2

Answers

Answer:

1/3,1/4,and so on like increasing in number

Anything that is lesser than the numerator that is equal to 1/2.

For explame, If you have 2/4 that is equal to 1/2, you can subtract 2-1 and you’ll have 1. Then you have 1/4.

Your aunt bought a new car. After three months of car payments she owed a total of $22,275 to the bank for the car loan. After 12 months, she owed $18,900 to the bank for the car loan. What was her average payment rate on the principal of the car loan during this time?

Answers

Given:
Balance after 3 months = 22,275
Balance after 12 months = 18,900

$22,275 - $18,900 = $3,375

12 months - 3 months = 9 months

3,375 / 9 months = $375 per month.

375 x 12 = 4,500
4,500 + 18,900 = 23,400 principal amount.

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The principal of the car loan is $23,400
The interest rate of the car loan is 1.60%
The monthly payment is $375.

Answer:

You can find the rate of change by dividing the difference in the principal owed by the difference in the number of months.

18,900 – 22,275 / 12 – 3 = -375

The average payment is $375 per month.

Is 3 decimeters greater than 30 centimeters?

Answers

"deci" means ten. So 3x10 = 30. With this information the answer is obvious that it is equal not more than.
Yes! 3x10= 30. we all know deci means x 10 so yes.

What is the exact volume of a cylinder that has a height of 1.8 ft and a radius of 6.1 ft?_____π ft³

Answers

cylinder area=height times area of base (area of base=area of circle)

height =1.8
radius=6.1
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area of circle=pi times 6.1^2=37.21π
times height

1.8 times 37.21π=66.978π

volume=66.978π ft^3
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