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2 years ago

PLEASE HELP ASAP

Mathematics

1 answer:

Vlad [161]2 years ago

5 0

Answer:

1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

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What is the solution to the equation -4 (2x + 3) = 2x + 6 - (8x + 2)

jeka94

Answer:

x= -8 i believe

Step-by-step explanation:

4 0

2 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.

8 0

1 year ago

A factory that makes granola bars uses 1⁄6 of a barrel of raisins in each batch. Yesterday, the factory used 5⁄6 of a barrel of

Luda [366]

Answer:

5 Batches.

Step-by-step explanation:

5*1/6 = 5/6

5 0

3 years ago

Hello! Please help asap

ValentinkaMS [17]

Answer:

Hello! answer: 55

Step-by-step explanation:

55 + 35 = 90 HOPE THAT HELPS!

3 0

3 years ago

How can i use substraction to describe divison? <br> I’ll mark u as the brainliest

makvit [3.9K]

Repeated subtraction is a method of subtracting the equal number of items from a larger group. It is also known as division. If the same number is repeatedly subtracted from another larger number until the remainder is zero or a number smaller than the number being subtracted, we can write that in the form of division

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2 years ago