Answer:
28
Step-by-step explanation:
To begin, lets make an equation out of this problem,
x/32 = 7/8
Then, let's solve for the variable x or AKA the missing value
x/32 x 32 = 7/8 x 32
x = 28
So, there is the answer, the missing value is 28
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Answer:
Part 1) Helen will need 38 feet of fencing
Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) The approximate distance around half of the circle is 11 feet
Step-by-step explanation:
Part 1) How much fencing will Helen need?
Find out the perimeter
we know that
The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle
so

we have

substitute


therefore
Helen will need 38 feet of fencing
Part 2) What is the perimeter around the three sides of the rectangular section of the garden?

we have

substitute


therefore
The perimeter around the three sides of the rectangular section of the garden is 27 feet
Part 3) What is the approximate distance around half of the circle?
Find the circumference of semicircle

we have

substitute


therefore
The approximate distance around half of the circle is 11 feet
The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
For more about the equation,
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Answer:
A. x = 9
D. x = 0
Step-by-step explanation:
The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula


therefore
The solutions are x=0 and x=9
Answer:
x = 8
Step-by-step explanation:
( 6x + 1 ) + 90 + ( 5x + 1 ) = 180
6x + 1 + 90 + 5x + 1 = 180
11x = 88
x = 8