Answer:
of oil are needed for each cup of vinegar.
Step-by-step explanation:
Given:
A recipe of salad dressing calls for ¼ cup vinegar to ⅔ cup oil.
Now, to find the cups of oil are needed for each cup of vinegar.
So, we solve by using unitary method:
If 
cup of vinegar is needed for oil of 
cup.
So, 1 cup of vinegar is needed for oil of = 
= 
(the fractions turns reciprocals as the division changes into multiplication)
= 
= 
cups.
Therefore, of oil are needed for each cup of vinegar.
Answer:
10
Step-by-step explanation:
place when expense and income intersect
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
b 8/14
Step-by-step explanation:
