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3 years ago

I NEED ALL THE HELP PLEASE SHOW YPUR WORK TO HELPP ITS DO IN 1 hour

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Assuming that Jeremy spent the entire $100 on the party supplies, here's the breakdown:

$100 - $30 = $70 remaining.

$70 - $10 = $60 remaining.

If he spent $60 on ten hats, and each hat was the same price, then each hat would have cost:

$hat = \frac{60}{10}\\hat = 6$

The equation is as follows:

$100 - 30 - 10 - 10(6)$

Each hat was $6

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What is the LCM of 18 and 24

Musya8 [376]

The least common multiplier of 18 and 24 is 72. Because all of 18's multipliers do not match up with 24's multipliers until 72, it is the LCM

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3 years ago

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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

Help me, please !!!!!!!!!

Flura [38]

They did make the same color

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3 years ago

What is the x-intercept of the equation -7x+3y=21

mezya [45]

Hello!!

Well, the x-intercept is found when y = 0, so plug in y = 0:

-7x + 3(0) = 21
-7x = 21
x = -3

Therefore, the x-intercept of -7x + 3y = 21 is -3.

Hope this helps!! Let me know if you have ANY questions.

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What equation represents the relationship between p and q shown in the table

mash [69]

q = 10p because all of them are multiplied by ten

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3 years ago