Answer:
7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.
You already have the answer! ;)
Area of triangles: 1/2 x b x h
area of square: l x w
Triangle
1/2 x 7 x 4= 14, but there are 3 of them so 42
Square: 7 x7 = 49
49 + 42 = 91
What is the following? but 8.4 x 102= 856.8 if that helps.
Equation for parabola is
y = a ( x - h ) ^2 + k where (h,k) is the vertex of the parabola.
Given: vertex (-4, -1) h = -4; k = -1
y = a (x - (-4))^2 + (-1)
y = a ( x + 4)^2 - 1 plug in the values given for x and y. y-value is 0 and x-value is 2
0 = a (2 + 4)^2 -1
0 = a (6)^2 -1 square 6
0 = a 36 - 1 add 1 to both sides to isolate the a
1 = 36 a divide both sides by 36 to isolate the a
1/36 = a the coefficient.
i think you might have typed a number incorrectly if those are your answer choices. Maybe the step by step process can still help you with your correct numbers. :-)
Quarters = x
Dimes = y
y = 3x - 10; Since the collection has 56 dimes:
56 = 3x - 10
Solve for x: 3x = 66 => x = 22
The number of quarters in the collection is 22.
