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Solnce55 [7]
2 years ago
6

A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 8 meters per second. She continues t

o descend for 20 secconds. What depth is she now?
Mathematics
1 answer:
liubo4ka [24]2 years ago
7 0
You basically just multiply 8 by 20.
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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the coordinates above:

slope = \frac{-2-1}{2-(-1)}

Simplify:

slope = \frac{-3}{3} = -1

Thus, the rate of change between the points is -1.

8 0
2 years ago
In a seminar of 1200 people, 65 percent were women, How many men were in the seminar?
Nookie1986 [14]

Answer:

420

Step-by-step explanation:

If there were 1200 people, and 65 percent were women, that means the rest of the crowd are men, which is 35 percent. By multiplying 35 percent by the overall population, 1200, (1200*35/100), you'll get 420 men.

4 0
2 years ago
Read 2 more answers
Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
Gwar [14]

Answer:” use

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

Let x be the fluid ounces of milk does Monica use.

As per the statement:

Monica uses 3 tablespoons of milk in her custard recipe.

It is also given that:

The ratio of tablespoons to fluid ounces is 2 : 1.

by proportion definition we have;

by cross multiply we have;

3 = 2x

Divide both sides by 2 we have;

therefore, fluid ounces of milk does Monica use.”

Step-by-step explanation:

9 0
2 years ago
Read 2 more answers
Arthur Jackson can run 1,500 meters in about 3 1/2 minutes. How many meters per minute is this?
Nimfa-mama [501]

(1500 meters) / (about 3.5 minutes) =

(1500/about 3.5) (meters/minute) =

<em>about 428.6 meters/minute</em>

6 0
3 years ago
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