Convert 36 4/9 to an improper fraction. Use this rule: a b/c = ac + b/c
-36 × 9 + 4/9 - (-10 2/9) - 18 2/9
Simplify 36 × 9 to 324
- 324 + 4/9 - (-10 2/9) - 18 2/9
Simplify 324 + 4 to 328
- 328/9 - (-10 2/9) - 18 2/9
Convert 10 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 10 × 9 + 2/9) - 18 2/9
Simplify 10 × 9 to 90
-328/9 - (- 90 + 2/9) - 18 2/9
Simplify 90 + 2 to 92
- 328/9 - (-92/9) - 18 2/9
Convert 18 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 92/9) - 18 × 9 + 2/9
Simplify 18 × 9 to 162
-328/9 - (- 92/2) - 162 + 2/9
Simplify 162 + 2 to 164
-328/9 - (- 92/9) - 164/9
Simplify brackets
-328/9 + 92/9 - 164/9
Join the denominators
-328 + 92 - 164/9
Simplify
-400/9
Convert to a mixed fraction
Multiply the base which is 18.65 and multiply it by the height which is 9 3/10 and then multiply by half and that estimates to B. 90 cm
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to
where
L is the length
W is the width
we have
so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A
solve for W
solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L
therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
x = - 1
Step-by-step explanation:
Given
4x = x^2 - 5 Transfer 4x to the right side.
Solution
x^2 - 4x - 5 = 0 Factor
(x - 5)(x + 1)
You want the negative solution. That means that the middle sign must be plus.
x + 1 = 0 Subtract 10 from both sides
x = - 1 Ten on the left disappears by the subtraction process.
Is that correct?
4x = x^2 - 5
x = - 10
4*(-1) = (-1)^2 - 5
-4 = ? 1 - 5
-4 = - 4
and it does work.
