Answer:
15 ft
Step-by-step explanation:
Let the height of the wall be represented bad x
Applying the theorem of similarity, we would have the following equation:
Cross multiply
2x = 30
Divide both sides by 2
x = 15
Thus, the height of the wall = 15 ft
Answer:
<em>-5/4</em>
Step-by-step explanation:
7(x + 4) + 1x - 9 * 2 = -8x + -10
Distribute 7 on left side. Multiply 9 * 2 on left side.
7x + 28 + 1x - 18 = -8x + -10
Combine like terms on left side.
8x + 10 = -8x + -10
Add 8x to both sides. Subtract 10 from both sides.
16x = -20
Divide both sides by 16.
x = -20/16
Reduce the fraction.
x = -5/4
Let us assume the two numbers to be "x" and "y".
Then
xy = - 24
x = - (24/y)
And
x + y = 2
Putting the value of x from the first equation in the second equation, we get
x + y = 2
- (24/y) + y = 2
- 24 + y^2 = 2y
y^2 - 2y - 24 = 0
y^2 - 6y + 4y - 24 = 0
y(y - 6) + 4(y - 6) = 0
(y - 6) (y + 4) = 0
When
y - 6 = 0
y = 6
Then
x + y = 2
x + 6 = 2
x = 2 - 6
= -4
And when
y + 4 = 0
y = -4
Then
x + y = 2
x - 4 = 2
x = 2 + 4
= 6
So the two unknown numbers are -4 and 6.
50(30%) = 15
50 - 15 = 35
35 (6%) = 2.1
35 + 2.1 = $37.10
the total cost of his order is $37.10 !!