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In-s [12.5K]
3 years ago
9

If 3x-8=-2 fins the value of x-6

Mathematics
1 answer:
adell [148]3 years ago
7 0

Steps to solve:

3x - 8 = -2; x - 6

~Substitute

3(x - 6) = -2

~Distribute left side

3x - 18 = -2

~Add 18 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

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15<br> 20<br> Need to reduce this fraction to the lowest terms
wlad13 [49]

Answer:

3/4

Step-by-step explanation:

BTW...can i plz get brainliest???   pllzzzzzz

7 0
2 years ago
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Bill plans to buy school supplies and the following equation represents what he bought.
iren2701 [21]

Answer:

1. x = 8

2. y = 1/2

Step-by-step explanation:

1. Plug the function

5x + 20(0.50) = 50

= 5x + 10 = 50

Subtract 10 from both side

= 5x = 40

Divide 5 on both sides

= x = 8

2. Plug in the function

5(8) + 20y = 50

= 40 + 20y = 50

Subtract 40 on both sides

= 20y = 10

Divide 20 both sides

= y = 10/20 | 1/2

6 0
2 years ago
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Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function re
VLD [36.1K]

The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5

A linear equation is given by:

y = mx + b;

where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.

Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.

She starts at 182.5 meters above sea level, hence; b = 182.5 meters

She descends 36.5 meters each hour, hence m = -36.5 meter per hour

Therefore the equation becomes:

y = -36.5x + 182.5

Find out more at: brainly.com/question/19586594

5 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
2 years ago
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? Use 1tepiz=0.625dollar and 0.9144m=1yard.
Ivanshal [37]
1 yard^2 = 0.8361m^2.? 

<span>The solution to the problem is as follows:

So he spent (.625 x 400) = $250.00 per m^2. </span>
He paid out (500 x 250) = $125,000 on the deal. 
He received (500 / 0.8361) = 598.014592 yard^2 of fabric. 
That would have cost (598.014592 x 120) = $71,761.75 locally. 
He lost (125,000 - 71,761.75) = $53,238.25 on the deal. 

<span>You can rework with the incorrect conversion factor.

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
7 0
3 years ago
Read 2 more answers
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