Step-by-step explanation:
8x + 11=2(4x-7) + 25
8x + 11 = 8x - 14 + 25
8x + 11=8x- 14 + 14 +25 + 11
8x-8x + 11 -11 = 14 + 25 + 11
8x-8x =14 + 25 + 11
X = 50
Answer:
48 yr. old
Step-by-step explanation:
Assume daughter is 4 and mom is 10 times her age, so mom is 40.
10 (woman) * 4 (daughter's age) = 40 yr. old mom
Present day...
40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today
4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today
So, if mom is 4 times as her daughter's age today...
48 (yr. old mom) / 12 (yr. old daughter) = 4
Consider that the initial length and width of the rectangle are given as,

After the length is increased by 10%, the new length (L) of the rectangle is calculated as,

After the width is decreased by 10%, the new width (B) of the rectangle is calculated as,

Then the area (A) of the new rectangle is calculated as,

Thus, the new area of the rectangle is 396 square meters.
Answer:
1.6%
Step-by-step explanation:
The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as
F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x
z = (x-μ)/σ,
where:
x is the raw score = 205
μ is the population mean, = 220 pounds
σ is the population standard deviation = 7 pounds
205 -220/7
z = -15/7
z = -2.1428571429
Using the normal cdf function on your graphing calculator,the cumulative distribution is
normalcdf( -2.1428571429, 100)
= 0.01606229
In percent form = 0.01606229 × 100
= 1.6%