Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15
Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
Ok so 38 is half of 76 and 19 is half of 38. If you follow this pattern then theoretically you should get 9.5
Answer:
10 1/6
Step-by-step explanation:
first get 8 3/4 to a common denominator
8 3/4 *3/3= 8 9/12
8 9/12+ 1 5/12=9 14/12= 10 2/12= 10 1/6
Answer:
0.23 centimeters per hour
Step-by-step explanation:
Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
