You have 90 and you have 15%
so you have to subtract 90 and 15%
90-15%=76.5
she puts $13.50 in savings and is able to spend $76.5
18.39 is 5.58% of 329.64.
We have to find that 18.39 is what percent of 120?
First, make the assumption that 329.64 is 100% as it is our output value.
We next represent the value we seek with x, therefore
100% = 329.64
And, x% = 18.39
Now, we get pair of simple equations
100% = 329.64 ........(1)
x% = 18.39 ........(2)
Now by simply dividing equation 1 by equation 2 and note of the fact that the LHS of both equations have the same unit (%);
100% / x% = 329.64 / 18.39
Taking the reciprocal of both sides, we get
x% / 100% = 18.39 / 329.64
or x = 5.58%
Hence, 18.39 is 5.58% of 329.64.
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The value of x is 15.
Solution:
Given ΔPQR 
ΔUTV.
<em>If two triangles are similar, then the corresponding parts are congruent.</em>
Do cross multiplication, we get
⇒ 14(x - 3) = 8(x + 6)
⇒ 14x - 42 = 8x + 48
Add 42 on both sides.
⇒ 14x = 8x + 90
Subtract 8x on both sides.
⇒ 6x = 90
Divide by 6 on both sides.
⇒ x = 15
The value of x is 15.
Answer:
x = 1 , 7
Step-by-step explanation:
Solution:-
- The given equation is as follows:
y = x^2 - 8x + 7
- We can solve the above equation by either making factors or by using Quadratic formula.
Factor Approach:
- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".
- So the only factor of "7" are:
7 x 1 = 7
-7 x -1 = 7
- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":
x^2 -x -7x + 7 = 0
- Take common multiples out of pair of two terms:
x*(x-1) -7*(x-1) = 0
(x-7)*(x-1) = 0
- So we equate each term in bracket with "0" and evaluate the values of x:
(x-7) = 0 , x = 7
(x-1) = 0 , x = 1
- So the solution to the quadratic equation is:
x = 1 , 7
