How would u test whether 7 is a factor of 291

Mathematics

1 answer:

Nina [5.8K]4 years ago

7 0

Divide 291 by 7. If you get a whole number, its a factor. If it comes out as a decimal or fraction, its not a factor.

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Kyle mows4 lawns a day 4 day a week 4 week a month and 4 months a year he makes $25 per lawn how much money did he make last yea

denis-greek [22]

Lets break this down step by step.

4+4+4+4=16 lawns a week.

16+16+16+16=64 lawns a month.

64+64+64+64=256 lawns a year.

Then we take 256 x $25 to get $6,400 last year.

6,400<---Answer

-Seth

8 0

3 years ago

1. Determine a rule that could be used to explain how the volume of a

Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

$V_c = \pi *r^2*h$

- Similarly, the volume of cone ( V_c ) is represented by:

$V_c = \frac{1}{3}*\pi *r^2 * h$

Where,

r : The radius of cylinder / radius of circular base of the cone

h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

$V = C*r^2$

Where,

C: The constant of proportionality

- Hence the proportional relation is expressed as:

V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

$V = C*(a*r)^2\\\\V = C*a^2*r^2$

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

$V = (\frac{1}{3} \pi *r^2*h)*a^2$