Answer:
The total value of the given expression is 12.
Step-by-step explanation:
(-2 + 1)² + 5(12 ÷ 3) - 9
First, do the expressions within the parentheses.
(-1)² + 5(4) - 9
Next, simplify the exponents.
1 + 5(4) - 9
Next, multiply 5 by 4.
1 + 20 - 9
Add 1 and 20 together.
21 - 9
Subtract 9 from 21.
12
So, the final answer to this equation is 12.
Answer:
If 7 minus 5 equals 2, then 7 minus 2 equals 5.
Step-by-step explanation:
This is because of the associative property of equality.
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Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
Answer: Cost of each ball , $3.
Cost of each bat , $35 .
Total money spend , $131 .
She buys twice as many balls as bats.
Tax , $8 .
To Find :
The number of bats she buys .
Solution :
Let , x represent the number of bats she buys.
So , number of balls she buys is 2x .
Therefore , number of bats she buys is 3 .
Hence , this is the required solution .
Step-by-step explanation:
Answer:
d
Step-by-step explanation: