One laundry detergent is 15% bleach and another is 40% bleach. How many ounces of each detergent must be used to make 48 ounces of a detergent that is 23% bleach?

32.64 ounces of a detergent that is 15% bleach was mixed with 15.36 ounces of a detergent that is 40% bleach to get 48 ounces of a detergent that is 23% bleach.

Step-by-step explanation:

Let x be the amount of detergent in ounce of 15% bleach and let y be the amount of detergent in ounce of 40% bleach.

Since 48 ounces of detergent is made, hence:

x + y = 48         (1)

Also,  15% bleach detergent and 40% bleach detergent is mixed to make 48 ounces of a detergent that is 23% bleach, therefore:

0.15x + 0.4y = 0.23(48 ounce)

0.15x + 0.4y = 11.04      (2)

To find x and y, we solve equation 1 and equation 2 simultaneously by multiplying equation 1 by 0.15 and subtracting the result from equation 2:

0.25y = 3.84

y = 15.36 ounces

Put y = 15.36 in equation 1 to get:

x + 15.36 = 48

x = 48 - 15.36

x = 32.64 ounces

Therefore 32.64 ounces of a detergent that is 15% bleach was mixed with 15.36 ounces of a detergent that is 40% bleach to get 48 ounces of a detergent that is 23% bleach.

C) 26 blocks

Step-by-step explanation:

For the firs one draw a dot where they start. Then draw a line going down and label it 10. Next draw a line going left and label it 24. Connect the end of those who lines to form a triangle. Now we can use the pythagorean theory.

a^2 + b^2 = c^2

a^2= side one (you choose)

b^2= side two (whichever side you didn't use out of the two)

c^2= the hypotenuse( this is the diagonal line you drew connecting the two lines at the end)

10^2 + 24^2 =c^2

100 + 576 =c^2

676=c^2     Since the C is still squared we have to squareroot both sides. This will cancel oout the ^2 on the C.

  Solve.

26=c