Twenty-eight and five-sevenths. 28 5/7
Answer:
480 in³
Step-by-step explanation:
Volume of a right rectangular prism = width x length x height
Let a = right rectangular prism with dimensions 8 x 4 x 2 in
Let b = right rectangular prism with dimensions 6 x 2 x 24 in
⇒ volume a = 4 x 8 x 2 = 64 in³
⇒ volume b = 6 x 24 x 2 = 288 in³
⇒ total volume = 3a + b
Substituting found values for a and b:
⇒ total volume = 3(64) + 288
= 192 + 288
= 480 in³
Answer: she has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
Let w represent the number of small marbles Amy has.
Let x represent the number of medium marbles Amy has.
Let y represent the number of large marbles Amy has.
a) She has five times as many small marbles as medium marbles. This means that
w = 5x
b) The number of large marbles is two more than three times the number of medium marbles. This means that
y = 3x + 2
c) If Amy has a total of 560 marbles, it means that
5x + x + 3x + 2 = 560
9x = 560 - 2
9x = 558
x = 558/9 = 62
w = 5x = 62 × 5
w = 310
y = 3x + 2 = 3 × 62 + 2
y = 188
