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xz_007 [3.2K]
4 years ago
12

−8x + 3y = 21 solve it

Mathematics
2 answers:
Nataly [62]4 years ago
6 0
So first we have to subtract 3y from 21 cause the oppisit of addition which is subtraction so you get 18y when we divide that with -8y and get y=2.25y
tamaranim1 [39]4 years ago
5 0
-8x + 3y = 21
-8x + 8x + 3y = 21 + 8x
<u>3y</u> = <u>21 + 8x</u>
 3          3
  y = 7 + 2 2/3x
-8x + 3(7 + 2 2/3x) = 21
-8x + 21 + 8x = 21
-8x + 8x + 21 = 21
0x + 21 = 21
0x + 21 - 21 = 21 - 21
<u>0x</u> = <u>0</u>
 0     0
  x = 0
-8(0) + 3y = 21
0 + 3y = 21
<u>3y</u> = <u>21</u>
 3      3
  y = 7
(x, y) = (0. 7)
-----------------------------------------------------------------------------------------------
-8x + 3y = 21
-8x + 3y - 3y = 21 - 3y
<u>-8x</u> = <u>21 - 3y</u>
 -8         -8
   x = -2 5/8 + 3/8y
-8(-2 5/8 + 3/8y) + 3y = 21
21 - 3y + 3y = 21
21 - 0y = 21
21 - 21 - 0y = 21 - 21
<u>-0y</u> =<u> 0</u>
 -0    -0
   y = 0
-8x + 3(0) = 21
-8x + 0 = 21
<u>-8x</u> = <u>21</u>
 -8     -8
   x = -2 5/8
(x, y) = (-2 5/8, 0)
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What is 30% of 30? I don’t know the exact answer so whoever answers first, with the answer you truly think it is, gets brainlies
Snezhnost [94]

The value of 30% of 30 is 9

<h3>How to calculate the percentage of values</h3>

Given the expression

30% of 30

30% can also be written as 30/100 = 0.03

Substitute into the expression

30% of 30

= 0.3 * 30

= 9

Hence the value of 30% of 30 is 9

Larn more on percentages here: brainly.com/question/24304697

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2 years ago
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Find the factors of 9q²-45pq+8q-40p
Elina [12.6K]

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

5 0
3 years ago
The Boffo Product Company sells a waffle iron on which they have done product testing. They have determined that the amount of t
den301095 [7]

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that \mu = 12*8 = 96 and \sigma = 8

How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?

This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then

Z = \frac{X - \mu}{\sigma}

-1.5 = \frac{X - 96}{8}

X - 96 = -1.5*8

X = 84

84 months = 7 years.

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

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