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2 years ago

Alex was thinking of a number. Alex doubles it

Mathematics

1 answer:

In-s [12.5K]2 years ago

4 0

Answer:

5.675

Step-by-step explanation:

22.7/2= 11.35

11.35/2= 5.675

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20 is one tenth of 200

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3 years ago

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3 years ago

the scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the lenght, in f

Dominik [7]

Answer:

67.5

Step-by-step explanation:

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3 years ago

A vendor at a street fair sells popcorn in cones, all of height 9 inches. The

Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

$V = \frac{\pi r^{2}h}{3}$

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

$V_{sk} = \frac{\pi r^{2}h}{3}$

Sharing size:

radius 3r, height h. So

$V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h$

About how many times more popcorn does the sharing cone hold than the skinny cone?

$r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9$

The sharing cone holds about 9 times more popcorn than the skinny cone.

3 0

3 years ago

The sum of two integers is 61 and their difference is 1. Find the integers.

musickatia [10]

We can find this integer using a system of equations. The first thing we look at is the first sentence.

Let's call X The first integer,

Let's call Y the second integer.

So, X+Y=61 and X-Y= 1

Using Substituion on the second equation, we get

X=Y+1

(Now we plug in Y+1 into the second equation for X)

So,

(Y+1)+Y=61

2Y=60

Y=30

So, one of the integers is 30.

Now to find the second, we go back to

X=Y+1

X=30+1

X=31.

So, the integers are 31 and 30.

Hope this helps!

7 0

3 years ago