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Arisa [49]
2 years ago
7

Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.

Mathematics
2 answers:
Kipish [7]2 years ago
7 0

Answer:

The answer to your question is the third choice   4 / (3d - 12)

Step-by-step explanation:

Data

length = (d -2 ) / (3d - 9)

width = 4/(d - 4)

height = (2d - 6)/(2d - 4)

Process

1.- Multiply the numerators

       (d - 2)(4)(2d - 6) = 8(d - 2)(d - 3)                                                                  

2.- Multiply the denominators

      (3d - 9)(d - 4)(2d - 4) = 6(d - 2)(d - 4)(d - 3)                                                                                                                        

3.- Simplify

                    8(d - 2)(d - 3) / 6(d - 2)(d - 4)(d - 3)

                    8 / 6(d - 4)

Simplify 8/3 = 4/3

                    4/3(d - 4)

earnstyle [38]2 years ago
7 0

Answer:

c

Step-by-step explanation:

did the assignment

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Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
6 0
2 years ago
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
2 years ago
When using the formula zx = x − μ σ for the z-score for the 11.7 data point:
Elodia [21]

1. x= 11.7  μ = 7

2. z11.7= 1.3

3. Is 11.7 within a z-score of 3?

a. Yes because z11.7 < 3.

4. Which statement is true of z11.7?

b. z11.7 is between 1 and 2 standard deviations of the mean.


8 0
2 years ago
Read 2 more answers
Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben
Ainat [17]

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

4 0
1 year ago
How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
wel

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

\frac{1}{3.7854} =\frac{28}{x}

By cross multiply we get;

x = 28 \times 3.7854 = 105.9912 liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

4 0
2 years ago
Read 2 more answers
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