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vredina [299]
3 years ago
6

The grocery store has a sale on canned tomatoes: 4 cans for $5.00. Find the unit rate (cost per can).​

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

Answer:

For every can, it would be $1.25.  1 can= $1.25

Step-by-step explanation:

For every 4 cans, it is $5, 4:5

if you divide both sides by 4. it would 1:1.25

So, for every can, it would be $1.25

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The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder
cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V=\pi r^2h, where r is the radius of cylinder,  h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

1600=\pi r^2(16).

Dividing both sides by 16, we get

\frac{1600}{16}=\frac{\pi r^2 (16)}{16}

r^2=100

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

\frac{x}{10}=\frac{4}{16}

\frac{x}{10}=\frac{1}{4}

Multiplying both sides by 10, we get

10 \times \frac{x}{10}=10 \times\frac{1}{4}

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height  = 4 in the formula of volume the cylinder, we get

V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.

Therefore, correct option is 25 pi cm^3.

8 0
3 years ago
You want to build a fence around a square garden that covers 506.25 square feet. How many feet of fence will you need to complet
Stolb23 [73]
<span>The area of a square is (length of side)^2 , the perimeter of a square is 4*(length of side) 

Then your answer is 4 * sq rt (506.25 f`t^2) = 4 * 22.5 ft = 

= 90 ft of fence</span><span>Source(s):</span>
4 0
3 years ago
Read 2 more answers
Equation to find three consecutive odd integers whose sum is 3
KiRa [710]

The equation computed shows that the numbers will be 9, 11 and 13.

<h3>How to illustrate the information?</h3>

Let the numbers be:

First number = x

Second number = x + 2,

Third number = x + 4.

Total of the numbers = 33

The equation will be:

= first + second + third number

x + x + 2 + x + 4 = 33

3x + 6 = 33

Collect like terms

3x = 33 - 6

3x = 27.

Divide both side by 3

3x/3 = 27/3

x = 9

First number = x = 9

Second number = x + 2 = 9 + 2 = 11

Third number = x + 4. = 9 + 4 = 13

The numbers will be 9, 11, and 13.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Illustrate the equation to find three consecutive odd integers whose sum is 33.

8 0
2 years ago
The number of subscribers to a streaming video service doubles each week.
Ilya [14]

Answer:

Step-by-step explanation:

This is an exponential equation that is solved by taking the natural log of both sides.  The equation is

f(x)=2^x

If we are looking for x when f(x) = 64, then

64=2^x

Take the natural log of both sides:

ln(64)=ln(2^x)

The rules of logs allows us to bring the x down in front:

ln(64)=xln(2)

Divide both sides by ln(2) to get:

\frac{ln(64)}{ln(2)}=x

Do this on your calculator to get that x = 6.

You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.

5 0
3 years ago
Read 2 more answers
You purchased $132.49 worth of wheels and bearings for your skateboards. The shop charges $15 per board to install them. The tot
Mila [183]

4 skateborards will be repaired

4 0
3 years ago
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