8 feet to 3 yards is in the simplest form
Answer:
A. $1555
Step-by-step explanation:
1.) Take account for the new change in income tax.
0.16 x $2100 = $336
2.) Subtract Quintana's deductions from her gross pay.
$2100-$336-$89-$85-$35= $1555
Answer:
1. 3x7
2. 4A
3. 2M
4. 4X
5. 7D (left) 7x4 (right)
6. 2Y (left) 3Y (right)
Step-by-step explanation:
very simple for me, just take the variable or number on the left or right and multiply by the number on the top or bottom. And for problems with 2 variables do 2X or 2Y whatever the variable may be. Hope this helped
It is important to note that the area of a square is equal to the length of one side raised to the power of 2.
the length of one side of the larger square is unknown-- let's call it x.
the length of one side of the smaller square can be expressed as x-3.
the area of the larger square is x².
the area of the smaller square is (x-3)².
if the sum of the areas is 149, so x²+(x-3)² = 149.
let's expand (x-3)². by "FOILing" that expression, you'll get that (x-3)² = x² -3x -3x +9, which is equal to x²-6x +9.
so x² + x² - 6x + 9 = 149
2x² - 6x + 9 = 149
Subtract each side by 9.
2x² - 6x = 140
factor out a 2. so 2(x² - 3x) = 140
divide both sides by 2. so x² - 3x = 70.
subtract both sides by 70. so x² - 3x - 70 = 0.
this can be written as (x-10)(x+7) = 0.
so x-10 = 0 and x+7 = 0.
so x = 10 and x = -7
we said that x is equal to the length of a side of the larger square, so the length of one side of the larger square can be 10 or -7. but when we're working with measurements, you cannot use a negative number (because you can't have something that is -7 inches long, that doesn't make any sense). so we're going to throw out the -7 and say that x = 10. so the larger square has a side length of 10 inches. we said that the length of a side of the smaller square is x-3, so the length of the smaller square's sides is 7 (which is 10-3).
Greetings!
"<span>A rectangular parking lot at the mega-mall is 7/10 mile long and 1/4 mile wide. How much fencing is needed to enclose the lot?"...
This question is essentially asking to solve for the perimeter. The formula for the perimeter of a rectangle is:
</span>
Input the information we already know:
Find A common denominator.
Simplify.
Reduce to Lowest Terms.
or
1 9/10 miles of fencing will be required to enclose the entire lot.
Hope this helps.
-Benjamin
