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3 years ago

1/3 of a number is 4 less than 1/2 of the number, the number is

Mathematics

1 answer:

ivolga24 [154]3 years ago

3 0

Answer:

Step-by-step explanation:

1/2x=3/4x−3⇒2x=3x−12⇒x=12

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Factor -3x - 3y - 3z.<br> 3(-x – y + z)<br> 3(x - y - z)<br> -3(x + y + z)<br> -3(x - y - z)

abruzzese [7]

3rd option is the correct answer

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3 years ago

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If the ríbbon costs 10 cents per foot what is the total cost of ribbon in dollars

True [87]

The answer will be 10 ft because its 10 cents per foot

4 0

4 years ago

A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen

Kisachek [45]

Answer:

Hotdogs are $12.00 for the dozen or $1.00 each

Bratwursts are $18.00 for the dozen or $1.50 each

Step-by-step explanation:

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3 years ago

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.

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2 years ago

The number doing the dividing in a division problem

Pavlova-9 [17]

Answer:

divisor

Step-by-step explanation:

I just looked it up bro lol

6 0

3 years ago

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