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2 years ago

A cargo truck is 2.74 yards wide, 4.23 yards high, and 9.71 yards long. How many cubic feet of cargo space does the truck have?

Mathematics

2 answers:

Blababa [14]2 years ago

8 0

Answer:

There is a space of 3038.60 cubic feet ( approx ) in the truck.

Step-by-step explanation:

Since, the space in the truck = volume of the truck ,

Given,

Length of truck = 9.71 yards = 29.13 feet ( ∵ 1 yard = 3 feet ),

Width of the truck = 2.74 yards = 8.22 feet,

Height of the truck = 4.23 yards = 12.69 feet,

No, the shape of the truck must be cuboid,

∵ volume of a cuboid = length × width × height

Hence, the volume of the truck = 29.13 × 8.22 × 12.69 = 3038.602734 cubic feet ≈ 3038.60 cubic feet.

Therefore, there is a space of 3038.60 cubic feet ( approx ) in the truck.

Otrada [13]2 years ago

3 0

All you have to do is multiply length x width x height

9.71 x 2.74 x 4.23 = 112.54 $feet^{3}$

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Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.

ax – c = bx + d

Step 1: subtract bx from both sides

ax – c = bx + d

ax-bx = d+c

Step 2: Factor out x in the left hand side of the resulting expression

x(a-b) = d+c

Step 3: Divide both sides by the coefficient of i.e (a-b)

$\frac{x(a-b)}{a-b} = \frac{d+c}{a-b}$

$x = \frac{d+c}{a-b}$

Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b

4 0

1 year ago

Read 2 more answers

If c = 10d, what percent of 3c is 3d?

son4ous [18]

Answer:

1000%

Step-by-step explanation:

c=10d,

3c will become 3*10d=30d

d is 10 times to c which converts to 1000%

6 0

1 year ago

The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of

yuradex [85]

A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

u(m) = u/sqrt n

Substituting the known values,

u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,

z-score = (data point - mean) / standard deviation

z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.

The difference between the two z-scores is 0.762.

The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters

z-score = (172 - 174.5) / 1.38

z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6

8 0

2 years ago

Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals?

Rudiy27

Answer: it’s 66 I got it right

Step-by-step explanation:

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2 years ago

Alchen [17]

Answer: C)27:1

Step-by-step explanation:

Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.

Volume of cylinder = $\pi r^2h$ , where r= radius and h = height.

Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .

The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

$\dfrac{\text{Volume of pipe A}}{\text{Volume of pipe B}}=\dfrac{6^3}{2^3}\\\\=\dfrac{216}{8}=\dfrac{27}{1}$

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1

So, the correct option is C)27:1.

7 0

2 years ago