Answer:
Step-by-step explanation:
Given: The ratio of cups of sparkling water to cups of grape juice concentrate is 
in a recipe for fizzy grape juice.
To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe
Solution:
Equivalent ratios are the ratios that have the same value.
Find two ratios equivalent to 
Multiply both numerator and denominator of 
by 2
Multiply both numerator and denominator of by 3
So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are
Sean deposits $90 of his $300 paycheck
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Answer:
13 1/2
Step-by-step explanation:
X-4 1/6 = 9 1/3
Add 4 1/6 to each side
X-4 1/6+ 4 1/6 = 9 1/3 + 4 1/6
x = 9 1/3 + 4 1/6
= 9 2/6 + 4 1/6
13 3/6
13 1/2
