If 5/8 of the prizes were dolls, then 3/8 of the prizes were not dolls.
3/8 of 64......" of " means multiply
3/8 * 64 = 192/8 = 24 were not dolls <==
Answer:
15.65 foot
Step-by-step explanation:
Pythagoras theorem can be used
a² + b² = c²
a being 14
b being unknown ( x )
c being 21
hence,
14² + x² = 21²
196 + x² = 441
x = √245
= 15.65 foot (answer)
Answer:
vertex = (- 2, - 36)
Step-by-step explanation:
Given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = 5x² + 20x - 16 is in standard form
with a = 5, b = 20 and c = - 16
= -
= - 2
Substitute x = - 2 into f(x) for corresponding y- coordinate
f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36
vertex = (- 2, - 36)
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have

We can cross multiply to get that

Answer:
z = -5
Step-by-step explanation:
3(0.7z + 2.8) = 7(1.5z + 7.2)
2.1z + 8.4 = 10.5z + 50.4
2.1z - 10.5z = 50.4 - 8.4
-8.4z = 42
z = 42/(-8.4)
z = -5