Answer:
If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.
Step-by-step explanation:
All sides of a square are equal length.
The area of a square is the side length squared.
perimeter p, side length s, area a, and variable x.
p = 28. s = ? a = x^2 + 4x + 4. x = ?
p = 28
p = 4s.
28 = 4s.
7 = s.
a = s^2.
s = 7.
a = 7^2.
a = 49.
a = x^2 + 4x + 4.
a = 49.
x^2 + 4x + 4 = 49.
factor x^2 + 4x + 4.
(x+2)(x+2) = 49.
(x+2)^2 = 49.
√ ((x+2)^2) = √49.
take positive answer.
x+2 = 7
x = 5.
AMOUNT DEPOSITED: $15k ($15,000)
INTEREST RATE PER YEAR: 0.07% (7%)
STEPS:
→Multiply the amount deposited ($15k) by the interest rate per year (7%).
15,000 * 0.07
= $1,050 (interest earned in 1 year)
→Multiply the interest earned from the first year ($1,050) by the amount of years that you want to calculate (3 years)
$1,050 * 3
=3,150 (interest earned in 3 years)
→ Add the interest earned (in 3 years, in this particular equation) to the amount that you deposited ($15k)
$15,000 + $3,150
=$18,150
FINAL ANSWER: $18,150
Divide.
1/3 / 5
Or multiply by the reciprocal of 5:
1/3 * 1/5 = 1/15
Therefore 1/15 cup of flour is used to make 1 dinner roll.
We can set up a proportion:
5/1/3 = x/5 2/3
Multiply 5 2/3 to both sides:
28 1/3 / 1/3 = x
85 = x
So 85 rolls can be made with 5 2/3 cups of flour.
Answer:
5
10
15
Step-by-step explanation:
5 - 4 < 20
1 < 20 which is true
10 - 4 < 20
6 < 20 which is true
15 - 4 < 20
11 < 20 which is true
Hope it helped
