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3 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

1 answer:

4 0

First, try 99^3 = 970299; therefore, it is not the least possible value.

The above number is a multiple of 99, so we can factor this out to find the least possible value. So we try to factor 99:

99 = 9 * 11
99 = 3^2 * 11^ 1

and 3^3 * 11^3 = 35937

The least possible value is 4^1 + 11^2 = 125. Its sum is 125 which is a perfect cube.

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Three prime numbers that can be multiplied to get 825

Leona [35]

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

5 0

2 years ago

Read 2 more answers

Triangles O N M and S R Q are shown. Angles O N M and S R Q are congruent. The length of side N M is 10 and the length of side S

valina [46]

Answer:

Option C.

Step-by-step explanation:

In △ONM and △SRQ,

$\angle ONM\cong \angle SRQ$

$NM=10$

$SR=20$

$NO=8$

$QR=x$

We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.

According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.

It is given that $\angle ONM\cong \angle SRQ$ . So, both triangles are similar by SAS if

$\dfrac{NO}{NM}=\dfrac{SR}{QR}$

Substitute the given values.

$\dfrac{8}{10}=\dfrac{20}{x}$

$8\times x=20\times 10$

$8x=200$

Divide both sides by 8.

$x=\dfrac{200}{8}$

$x=25$

Therefore, the correct option is C.

7 0

3 years ago

Read 2 more answers

7×300=7× blank hundreds

VladimirAG [237]

7x300=7x 3 hundres because in 300 hundreds there is 3 hundreds.I know that didnt make sense.so basically just look at the front number number its 3 so 3 hundreds but if your working with thousands and the front number is 5 its 5 thousands.I hope this was helpful.

6 0

3 years ago

5. What do you notice about the numbers in the last two columns of the table?<br> Answer?

Lostsunrise [7]

Photo????? i need more context:)

8 0

3 years ago

Henry's baseball practice starts at 2:00 pm. It lasts 1 hour and 45 minutes. What time does he get out of baseball practice? Wri

Andrew [12]

Answer:

3:45

Step-by-step explanation:

because if you add 2 to 1 it is 3 and that is 3pm and it says 2:00 and the 00 are the minutes minutes so you can add those in and it will be 45 so 3:45

5 0

3 years ago