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Leya [2.2K]
3 years ago
8

Find the constant of proportionality for the table of values.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0

Answer:

k = 1.5

Step-by-step explanation:

Pairs: (2, 3), (3, 4.5), (4, 6), (5, 7.5)

If there is a proportionality between two numbers or, as in this case, two variables, then:

y = kx

Where:

k = proportionality constant

The constant can therefore be found by rearranging:

k = y/x

Now, simply substitute any given pair of x- and y- values;

I will use (2, 3) as these are the smallest numbers so easier to use but any of the pairs can be used:

k = 3/2

k = 1.5

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1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

6 0
3 years ago
Find the surface area and volume of the prism
Nitella [24]
To find the surface area of a prism, open the solid like a carton box and flatten it out to find all included geometric forms. To find the volume of a prism multiply the area of the base by height
4 0
3 years ago
Read 2 more answers
Solve x2 + 10x + 12 = 36 for x. x = â12 or x = 2 x = â11 or x = 1 x = â2 or x = 12 x = â1 or x = 11
meriva
The answer is number A: â12 or x = 2
6 0
3 years ago
Jingle Corporation produces toy footballs. Each football sells for $9.95 with a variable unit cost of $7.10. Assuming a fixed co
____ [38]
Each football is sold for $9.95. To make one of these football costs $7.10.
There is a profit of $2.85. Divide 11,400 by 2.85 to see how many footballs would have to sell to break even.

11,400 / 2.85 = 4000. 

4000 footballs would have to be sold to break even.
5 0
4 years ago
HELP!! Can someone help me with this
cricket20 [7]

Answer:

1 no

2yes

3 no

4 no

5 Yes

6 Yes.

so it gives you a pattern right there a squared plus b squared equals c squared just fill in the numbers in that way

6 0
3 years ago
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