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Nady [450]
2 years ago
9

Justify each step of this inequality by stating the property that was used to get to each step. Given: -5(r+3)<12-10r+3r Prop

erty used: Step 1: -5(r+3)<12-7r Step 1: Step 2: -5r-15<12-7r Step 2: Step 3: 2r-15<12 Step 3: Step 4: 2r<27 Step 4: Step 5: r<13.5 Step 5:
Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

We have:

Given:

-5(r+3)

Step 1: Combining Like Terms (on the right):

-5(r+3)

Step 2: Distributive Property (distribute the -5 on the left):

-5r-15

Step 3: Addition Property of Equality (add 7r to both sides):

2r-15

Step 4: Addition Property of Equality (add 15 to both sides):

2r

Step 5: Division Property of Equality (divide both sides by 2):

r

And we're done!

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Help ASAP please!!!
olga55 [171]

Answer:


Step-by-step explanation:

Let's first understand what percentage of the population actually exists after the decrease.

<h3>100% - 35% = 65% of the population.</h3>

We'll now convert 65% into a decimal. We can convert percentages into decimals by dividing the percentage by 100.

<h3>0.65 / 100 of the population.</h3>

We'll now make an equation.

<h2>0.65x = 29,900</h2><h2>x = 46,000.</h2><h3>Keep in mind that x, in the equation, is to represent the previous population. When you multiply it by 0.65, you're representing 65% of x which is also equal to 29,900. When you multiply the equation by (100/65) on each side, you find out the previous population is 46,000.</h3><h2>If you have issues or difficulties, feel free to contact me.</h2>
4 0
2 years ago
Write the square or cube for each number.
IRISSAK [1]

Answer:

1) 19³=6859

2) 16² =256

3) 15³ =3375

4) 20² =400

5) 10³ =1000

Step-by-step explanation:

using your calculator to (square = number times itself) or (cube = number times itself times itself again)

4 0
2 years ago
For the question: "My quadrilateral has a pair of equal sides and a pair of parallel sides, what special type my quadrilateral m
Effectus [21]

Answer:

Step-by-step explanation:

It must be a trapezoid because a trapezoid has at least one set of parallel sides.  Sides of equal length don't mean anything really unless we know hose sides are parallel.  I will say sometimes I hear trapezoids ONLY have two parallel sides, while the other two are not, while in other places as long as two are parallel it is a trapezoid.  It looks like for this question it is using the definition that at least two parallel sides makes it a trapezoid.

it can be an isosceles trapezoid since it is a type of trapezoid,  same with right trapezoid.  Basically any special kind of trapezoid

parallelogram because it can have two pairs of parallel lines and have thos parallel sides be equal.  So this also means it can be all kinds of parallelograms.  

Do you have a list to choose from?  because most I pull up don't include right trapezoid at least.

This leaves kite as the only kind of quadrilateral to look at yet, and it specifies no parallel sides. bt your shape need at least one set of them, so it cannot be a kite.  

8 0
2 years ago
Prove that 5^7+5^6 is divisible by 6.
Valentin [98]

Answer:

5^7+5^6 = 93750

93750/6 = 15625

Hence 5^7+5^6 is divisible by 6.

Step-by-step explanation:

3 0
3 years ago
There are 99 members in the Ohio House of Representatives. All of them were present when a vote was taken on a piece of legislat
horrorfan [7]

Answer:

40 "no" votes

Step-by-step explanation:

99 total members

-6 (Didn't vote)

93 left

-13 (more yes. Getting to where it's even votes)

80 left. (split evenly between yes and no)

%2

40

7 0
2 years ago
Read 2 more answers
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