Answer k=16
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Than
y = kx
Where k is the constant of proportionality.
48 = 3k
k = 16
Therefore the constant of proportionality is 16.
Answer:
12+√74 ≈ 20.60
Step-by-step explanation:
The side lengths of this right triangle are 5 and 7 units, so the length of the hypotenuse is ...
b² = a² +c² = 5² +7² = 74
b = √74
The perimeter is ...
P = a + b + c = 5 + √74 + 7
P = 12+√74 ≈ 20.60
the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
So
vprism/vcube≤number of cubes
vprism=length times width times height
for this one, 1/2=0.5 and 2 and 1/2=2.5
vprism=7 times 4 times 2.5=70
vcube=side^3=0.5^3=0.15
vprism/vcube=70/0.125=560
560 cubes willl fit