Answer:
5 1/4 cubes
Step-by-step explanation:
Volume of the cubical box = length × width × height
= 6 in x 3 in × 7 in
= 126 in³
Volume of the cube = length × width × height
= 3 in x 4 in x 2 in
= 24 in³
how many cubes with the dimensions of 3 in x 4 in x 2 in can be fitted into the cubical box
= Volume of cubical box / Volume of the cube
= 126 in³ / 24 in³
= 5 1/4 cubes
Answer: Choice B) 0.63
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Work Shown:
1.1 is 174% of what number
1.1 = 174% of what number
1.1 = 174% of x
1.1 = 1.74*x
1.74x = 1.1
x = 1.1/1.74
x = 0.632183908045977 which is approximate
x = 0.63
Answer
1. x = (2/3)y²
2. x = 54 when y = 9
3. y = 7.35 when x = 36
Explanation
1. x ∝ y²
x = 24, y = 6
x = ky²
24 = k x 6²
24 = 36k
k = 24/36
k = 2/3
∴ x in terms of y is x = (2/3)y²
2. Using x = (2/3)y² to to find x when y = 9, we have
x = (2/3) x 9²
x = 2/3 x 81
x = 2 x 27
x = 54
∴ x = 54 when y = 9
3. Using x = (2/3)y² to to find y when x = 36, we have
36 = (2/3)y²
36 = 2y²/3
2y² = 36 x 3
y² = 108/2
y² = 54
y = √54
y = 7.35
∴ y = 7.35 when x = 36
Answer:
there are 8 <u>boys</u> for every 10 <u>girls</u>
there are 20 <u>boys</u> for every 25 <u>girls</u>
there are 28 <u>boys</u> for every 35 <u>girls</u>
there are 32 <u>boys</u> for every 40 <u>girls</u>
there are 36 <u>boys</u> for every 45 <u>girls</u>
there are 40 <u>boys</u> for every 50 <u>girls</u>
there are 44 <u>boys</u> for every 55 <u>girls</u>