The answer is 7,500 because 150% is the same as 1.5 x 5000.
Answer:
5x + 6
Step-by-step explanation:
4x - 3 + 2x + 1 - x + 8
= 4x + 2x - x -3 + 1 +8
= 5x + 6
Answer:
The solution for y is y = 2x + 1
Step-by-step explanation:
* <em>Lets explain how to solve an equation for one of the variables</em>
- We need to solve the equation 16x + 9 = 9y - 2 x for y
- That means we want to find y in terms of x and the numerical term
- the equation has two sides, one side contains x and numerical term
and the other side contains y and x
- We need to separate y in one side, and other term in the other side
* <em>Lets do that</em>
∵ 16x + 9 = 9y - 2x
- Add 2x to both sides to cancel -2x from the right side
∴ 16x + 2x + 9 = 9y - 2x + 2x
- Add like terms in each side
∴ 18x + 9 = 9y
- Divide each term by the coefficient of y ⇒ (÷9)
∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y
∴ 2x + 1 = y
- Switch the two sides
∴ y = 2x + 1
* The solution for y is y = 2x + 1
Answer:
The length of the rectangular playing field is 84 yards and the width is 44 yards
Step-by-step explanation:
Let
x ------> the length of the rectangular playing field
y -----> the width of the rectangular playing field
we know that
The perimeter of the rectangular playing field is equal to
so
------> equation A
we have that
-----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
Find the value of x
therefore
The length of the rectangular playing field is 84 yards and the width is 44 yards
<span>when the altitude is </span>drawn from the vertex of the right angle<span> of a right triangle to its hypotenuse, the altitude equals the product</span> of the two segments of the hypotenuse<span>.
(w+9)</span>²=8*18=144
w+9=12 or w+9=-12
w=3 (discard the negative number)
use the same method, z=√(9*11)=3√11
next, you can use the Pythagorean theorem to find x and y.
x=√(9²+99)=√180=6√5
y=√(11²+99)=√220=2√55
