Answer:
$144.00
Step-by-step explanation:
1 yard = 3 foot
24 yards = 72 foot
$2.00 per 1 foot
2×72
Answer:
Find the area of the larger rectangle, then subtract the area of the two smaller rectangles in the corners. Separate the figure into two or three rectangles, and add the areas.
Step-by-step explanation:
this is the sample response
Answer:
5:7
Step-by-step explanation:
Basically you first find the amount of the books are the shelf knowing that you have 5 new books, you subtract the amount of new books from total books. And 5:7 can't be simplified any further making 5:7 the answer.
<h3>
Answer: Vertical angles</h3>
Explanation:
Ignore the ray that angles 2 and 3 are adjacent to. It might help to copy the drawing but erase that ray in question. All we really care about is the X shape the two lines form along with angles 1 and 4. These two angles are opposite one another. We consider them vertical angles. They don't have to align vertically. They simply have to be opposite one another like this in this X configuration. Vertical angles are always congruent to one another.
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
