Answer:
x = 15.65
y = 3.5
Step-by-step explanation:
Step 1
Find the equation for x and y
Equation for x is given as
x² = 7( 7+28) ..........Equation 1
14(14 + y) = x²........ Equation 2
Solving for Equation 1
x² = 7( 7+28)
x² = 7(35)
x² = 245
x = √245
x = 15.65
From Equation 1 , x² has been determined to be 245
Therefore we substitute 245 for y in Equation 2
14(14 + y) = x²........ Equation 2
14(14 + y) = 245
196 + 14y = 245
14y = 245 - 196
14y = 49
y = 49 ÷ 14
y = 3.5
Answer:
Interestingly, the likelihood of a randomly chosen student being a female is <u><em>0.58</em></u> at this school.
Step-by-step explanation:
This school features more female students than male students. <em>Consequently, if resources are allocated equally (because it has been found that both female and male male students are similarly likely to be involved), the number of female students involved in after-school athletics programs is greater than the number of male students and could clarify the facilities issues.</em>
Answer:
$57.5 is the total cost to build the pen.
Step-by-step explanation:
We are given the following in the question:
A livestock pen is built in the shape of a rectangle.
The length of rectangle is two times the width.
Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

Perimeter = 30 feet

Putting values,

The length of rectangle is 10 feet and width of rectangle is 5 feet.
If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides
Cost of building =

Thus, $57.5 is the total cost to build the pen.
Answer:
A
Step-by-step explanation:
When multiplying numbers with exponents, the exponents add together. This means that the correct answer is letter A.