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kvv77 [185]
3 years ago
10

Two numbers are in a ratio of 1:4 and their sum is 50. What is the smaller number?

Mathematics
1 answer:
katrin [286]3 years ago
3 0
Let us assume the common ratio to be = x
Then
(1 * x) + (4 * x) = 50
x + 4x = 50
5x = 50
x = 50/5
   = 10
So from the above deduction, we get the common ratio to be equal to 10
Then
The smallest number = 1 * x
                                  = 1 * 10
                                  = 10
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3 years ago
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps bel
kobusy [5.1K]

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

               

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