For this case we have the following expression:

Applying distributive property to the terms within parentheses we have:

We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

We add 7.5x to both sides of equality:

We subtract 72 from both sides of equality:

We divide between 3 on both sides of equality

ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given that, we have to simplify</u></em>

We can simplify the above expression by combining the like terms
Like terms are terms that has same variable ( with same exponent) with same or different coefficient
From given,

Here, like terms are -3y and -5y
And 2x and -7x
Group the like terms

Combine the like terms

Thus the given expression is simplified
The intersection of two sets A and B is defined as the set composed by the elements appearing in both A and B.
So, the intersection is

Because all the other numbers do not belong to both sets:
- 2, 3 and 7 belong to A alone
- 13, 15 and 17 belong to B alone
- 5 and 11 belong to both A and B
Answer:
24 blocks will be needed to make the tower that is 4 feet high
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Charlie knows that 3 blocks are needed to make a tower that is
0.5 foot high
∵ He needs to make a tower that is 4 feet high
→ By using the ratio method
→ Blocks : height (ft)
→ 3 : 0.5
→ x : 4
→ By using the cross multiplication
∵ x × 0.5 = 3 × 4
∴ 0.5x = 12
→ Divide both sides by 0.5 to find x
∵
= 
∴ x = 24
∵ x represents the number of blocks
∴ 24 blocks will be needed to make the tower that is 4 feet high