Answer:
Let l be the length and w the width of the rectangle.
P as the perimeter and A as the area.
length of a rectangle is four times the width:
w = w
l = 4w
System of equation : 2l + 2w = P
Substitute:
2(4w) + 2w = 45
8w + 2w
10w = 45
w = 45 / 10
w = 4.5
Solve for l:
l = 4w
l = 4(4.5)
l = 18
Area:
A = lw
A = 18(4.5)
A = 81 in²
Answer:
84 = 7×12
84 = 3×4×7
84 = 2×2×3×7
Step-by-step explanation:
84 = 7 × 12 ( the factors of 12 are 3×4)
so 84 = 3×4×7 ( the factors of 4 are 2×2)
so 84 = 2x2x3x7
I hope it helps you!
Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest: 
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.
Quotient is the result of division
120 divided by 10 = 12
therefore your quotient would be 12