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3 years ago

14

a cube-shaped box has a volume of 125 cubic inches. if a box is packed full of cubes with edge lengths of 1 inch how many cubes

can fit along one side of the box

1 answer:

Likurg_2 [28]3 years ago

7 0

Answer:

Step-by-step explanation:

Figure it out and stop cheating! I have your IP and will be reporting this to your school

You might be interested in

2(x2 + 5) − 3(x + 1) + 3

mestny [16]

Answer:

2x^2 -3x +10

Step-by-step explanation:

2(x^2 + 5) − 3(x + 1) + 3

Distribute

2x^2 +10 -3x -3 +3

Combine like terms

2x^2 -3x +10 -3+3

2x^2 -3x +10

7 0

3 years ago

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

4 years ago

A rectangle length is 8cm more than three times it’s widith. The perimeter is 128 cm find the length.

Masteriza [31]

Let x = width
<span>length is 8 cm more than three times it’s width so length = 3x + 8
</span>
Perimeter of a rectangle = 2(L + W)
so
128 = 2(x + 3x + 8) solve for x (width)
128 = 2(4x + 8)
64 = 4x + 8
4x = 56
x = 14
width = 14 cm
length = 3(14) + 8 = 50 cm

Answer:
width = 14 cm
length = 50 cm

4 0

3 years ago

A man travels from town x to town y at an average rate of 60 mph and returns at an average rate of 50 mph. He takes a 1/2 hour l

Georgia [21]

D/60 + D/50 = 2D/55 - 1/2

find common denominator ( 3300)

3300/60 = 55

3300/50 = 66

3300/55=60

so then you get 55D +66D= 60(2D)-1650

121D=120D-1650

D=1650 miles

check

1650/60 =27.5, 1650/50 = 33, 27.5 + 33 = 60.5 hours total

1650/55 = 30, 30 x 2 = 60

60.5-60 = 0.5 longer

so distance = 1650 miles

3 0

4 years ago

Craig scored 12 points in a game. Marla scored twice as many points as Craig but 5 fewer than Nelson scored. Write an expression

asambeis [7]

First write what are given from the question
We write "<span>Craig scored 12 points in a game" as
</span>⇒ c = 12 <em>(first equation)</em>
We write "<span>Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
</span>⇒ m = 2c <em>(second equation)</em>
⇒ m = n - 5 <em>(third equation)</em>
<span>
Second, find the expression for n based on what we write above
</span>From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24

This is the expression to find how many nelson scored
n - 5 = 24
<span>
</span>

4 0

3 years ago