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3 years ago

ALGEBRA HELP PLEASE

1 answer:

4 0

Start by solving for x in the first problem:
3x=3+9y
x=1+3y
Then plug that into the second equation:
6(1+3y)-3y=-24
6+18y-3y=-24
15y=-30
y=-2
Then plug that back into first equation:
3x-9(-2)=3
3x+18=3
3x=-15
x=-5
Then I would check your answer by plugging those into both equations:
3(-5)-9(-2)=3
-15+18=3
3=3 CHECK
6(-5)-3(-2)=-24
-30+6=-24
-24=-24 CHECK

So the answer is x=-5 y=-2

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Which triangle has a bigger area: 1. A triangle with sides measuring 300, 400, and 500. 2. A triangle with sides measuring 300,

Kitty [74]

A triangle with sides measuring 300, 400 and 700 because 300+400+700=1400 which is higher than the first triangle 300+400+500=1200

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3 years ago

4. The sum of three consecutive odd integers is 36.

PilotLPTM [1.2K]

Answer:

11, 12, 13

Step-by-step explanation:

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3 years ago

Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon

Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either weigh less than 87 grams or more than 93 grams.

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem:

The mean is of 90 grams, hence $\mu = 90$ .

The standard deviation is of 1 gram, hence $\sigma = 1$ .

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

$Z = \frac{3}{1}$

$Z = 3$

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either weigh less than 87 grams or more than 93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0

2 years ago

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3?

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Anything to the power of one is it self so
27^1/3
27/3
9

5 0

3 years ago

Y is directly proportional to x.

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If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12

3 0

3 years ago