Please help me answer the question in the photo.
1 answer:
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The amount of blue paint in each container is .
Further explanation:
The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.
So, the amount of blue paint is calculated as,
Therefore, the total amount of paint mixture is the sum of blue paint and red paint.
Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,
Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is .
Now, as it is known that the fraction of blue paint to the total paint is and the amount of paint in a container is
then the blue paint in one container is calculated as,
Thus, the amount of blue paint in each of the five containers is .
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Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Mixtures and ratios
Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.
Answer:
Step-by-step explanation:
The idea here is to get the left side simplified down so it is the same as the right side. Consequently, there are 3 identities for cos(2x):
,
, and
We begin by rewriting the left side in terms of sin and cos, since all the identities deal with sines and cosines and no cotangents or cosecants. Rewriting gives you:
Notice I also wrote the 1 in terms of sin^2(x).
Now we will put the numerator of the bigger fraction over the common denominator:
The rule is bring up the lower fraction and flip it to multiply, so that will give us:
And canceling out the sin^2 x leaves us with just
which is one of our identities.
Try this:
if given dx+e²ˣdy=0, then
if given dx+e²ˣdy=0, then