Solving
the equation -3(y - 5) = 24

Answers

Answer 1
Answer: Distribute
-3y+15=24
      -15=-15
-3y=      9
-3      =    -3
y=-3
Answer 2
Answer: -3(y-5)=24
First follow the distributive property and do the parentheses. 
-3 times y gives you:-3y 
-3 times -5 gives you 15 since a negative times a negative is a positve. 
So now you have -3y +15 = 24
subtract 15 from both sides and you will get: -3y+15-15=24-15
which then gives you: -3y= 9
to get y by itself divide both sides by -3. 
this gives you: y= -3

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180 product of a prime factor using indices

Answers

Start with 180. 
Is 180 divisible by 2? Yes, so write "2" as one of the prime factors, and then work with the quotient, 90. 

Is 90 divisible by 2? Yes, so write "2" (again) as another prime factor, then work with the quotient, 45. 

Is 45 divisible by 2? No, so try a bigger divisor. 
Is 45 divisible by 3? Yes, so write "3" as a prime factor, then work with the quotient, 15 

Is 15 divisible by 3? [Note: no need to revert to "2", because we've already divided out all the 2's] Yes, so write "3" (again) as a prime factor, then work with the quotient, 5. 

Is 5 divisible by 3? No, so try a bigger divisor. 
Is 5 divisible by 4? No, so try a bigger divisor (actually, we know it can't be divisible by 4 becase it's not divisible by 2)
Is 5 divisible by 5? Yes, so write "5" as a prime factor, then work with the quotient, 1 

Once you end up with a quotient of "1" you're done. 

In this case, you should have written down, "2 * 2 * 3 * 3 * 5"
The answer is 2•2•3•3•5

-2/3 qould be classifide as a whole,natural,rational, and irrational

Answers


-2/3 is not whole, not natural, and not irrational.

From that list, the only thing it is is rational.


rational, as it is negative, a fraction, but also a fraction whose decimal form is repeating. so, since its a negative fraction, it can't be whole or natural, and since its decimal form is repeating, it's rational and not irrational. Hope that made sense

Edit:whole numbers and natural numbers are pretty much the same, since in nature there aren't really any negative things, like a tree isn't -11 feet tall

A non-scale model of the earth has a diameter of 12 in. Within an outer clay layer, there is a core made of a golf ball with a diameter of 2 in.What is the volume of the clay? Use 3.14 to approximate pi and round your answer to one decimal place.

Answers

fist find volume of whole
find volue of golf ball
volume of sphere=4/3 times pi times r^3

diameter=2radius
divide 2
diameter/2=radius
12/2=6=radius

4/3 times 3.14 times 6^3=904.32

whole volume=904.32

volume of golve ball
4/3 times 3.14 times 2/2=4.18666
subtract

904.32-4.18666=900.133333

the asnwer is 900.13 in^3

How do you solve 12.42 ÷ 4.6? I have a test tomorrow ​

Answers

Answer:

Just keep dividing like what I did in this image.

A recreational center has 15 basketballs and 12 soccer balls.What is the ratio of soccer balls to basketballs in simplest form?

Answers

15:12 = 1:4
Because 15:12 is This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (12). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (1) and proper fraction (1/4).

Write a real world problem for the equation 15w = 45 then solve the problem

Answers

A employer sells boxes of ink for 45 dollars. Each box costs $15. How many boxes did he sell?

15w = 45
15w/15 = 45/15
w = 3

He sells 3 boxes
Henry makes pieces of ribbon 15 feet each. The total amount of ribbon he uses is 45 feet. How many pieces of ribbon did he make? 3 pieces of ribbon