You are correct it's 36 9/16
Answer:
x=7
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
2(x+13)=(x−2)⋅8
Solve the equation for x.
Simplify 2(x+13).
Start simplifying.
0+0+2(x+13)=(x−2)⋅8
Simplify by adding zeros.
2(x+13)=(x−2)⋅8
Apply the distributive property.
2x+2⋅13=(x−2)⋅8
Multiply 2 by 13
2x+26=(x−2)⋅8
Simplify (x−2)⋅8
Apply the distributive property.
2x+26=x⋅8−2⋅8
Simplify the expression.
Move 8 to the left of x
2x+26=8⋅x−2⋅8
Multiply −2 by 8
2x+26=8x−16
Move all terms containing x to the left side of the equation.
Subtract 8x from both sides of the equation
2x+26−8x=−16
Subtract 8x from 2x
−6x+26=−16
Move all terms not containing x to the right side of the equation.
Subtract 26 from both sides of the equation
−6x=−16−26
Subtract 26 from −16
−6x=−42
Divide each term in −6x=−42 by −6 and simplify
Divide each term in −6x=−42 by −6
Simplify the left side
Cancel the common factor of −6.
Divide x by 1.
Simplify the right side.
Divide −42 by −6.
x=7
Answer:
8, 40, 28.6, 40, 80, 36.6
Step-by-step explanation:
First find out what the ratio of tulips and roses is for each garden.
Ben: 40÷(4+1) = 8 so 8×4=32 and 8×1= 8
Ina: 40÷(2+5) =5.7 so 2×5.7=11.4 and 5×5.7= 28.6
Use these numbers accordingly.
Seems odd that there would be decimals in a problem like this, consult your teacher.
Answer:
1 foot
Step-by-step explanation:
Set equal:
4w² + 70w = 74
Move to one side:
4w² + 70w − 74 = 0
Simplify:
2w² + 35w − 37 = 0
Factor. Using the AC method, ac = 2×-37 = -74. Factors of -74 that add up to 35 are 37 and -2. Dividing by a, the factors reduce to 37/2 and -1/1.
(w − 1) (2w + 37) = 0
Set each factor to 0 and solve:
w − 1 = 0
w = 1
2w + 37 = 0
w = -18.5
Since w must be positive, w = 1. The width of the wood border is 1 foot.
