X= 13
y=16
Work:
x+y=29
x=29-y
x+2y=45
29-y+2y=45
y=45-29
y=16
x=29-16
x=13
The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²
We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²
This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x
The area,
88 = (20 - 2x)(14 - 2x)
Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²
Divide the equation by 4,
22 = 70 - 17x + x²
Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.
Thus, the thickenss is equal to 58.2 in
Answer:
<em>Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift</em>
Step-by-step explanation:
<u>Equations</u>
Let's make:
x = the number of years from now
Karim now is 22 and Ziad is 8. x years from now Karim will be
22 + x years old and Ziad will be
8 + x years old.
Karim will give Ziad a wonderful gift when:
22 + x = 3(8 + x)
22 + x = 24 + 3x
Solving:
x = -1
This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift
Answer:
288 trust me it is 100% right I tried it as an answer an got it right.
Step-by-step explanation:
