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NNADVOKAT [17]
2 years ago
8

3 friends share 6 pounds of grapes equally. Each pound has 40 grapes. How many grapes does each friend get

Mathematics
1 answer:
GuDViN [60]2 years ago
4 0

Answer:

80 grapes

Step-by-step explanation:

6 pounds x 40 = 240

240 / 3 = 80

or you can do:

6 / 3 = 2

2 x 40 = 80

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The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its n
Tamiku [17]

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4

4 0
3 years ago
If < A and < B are vertical angles, and < A = 5x - 1 degrees, and < B = 4x + 4 degrees, find x.
ArbitrLikvidat [17]

Answer:

x = 5

Step-by-step explanation:

vertical angles are congruent , so

∠ A = ∠ B , that is

5x - 1 = 4x + 4 ( subtract 4x from both sides )

x - 1 = 4 ( add 1 to both sides )

x = 5

4 0
2 years ago
Of 30 students, 1/3 play sports. Of those who play sports, 2/5 play soccer.
lana [24]

Answer: 10 or 12

Step-by-step explanation:

6 0
3 years ago
What fraction makes the equation true?<br> Enter the answer in the boxes.<br><br> 5/6x =20/24
Darina [25.2K]

Answer:

x=1

Step-by-step explanation:

To find the value of x, we have to move all the real numbers to the other side.

5/6x = 20/24

We have divide each side by 5/6. Once we do that, we get—

x = 4/4

x = 1

6 0
3 years ago
g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the
Andrei [34K]

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness =  e^-λ × λ^x/ x!

8 0
2 years ago
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