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faltersainse [42]
3 years ago
13

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill

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The human population doubles approximately every 50 years if there were 2.5 million people in 1950 how many people are forecaste
Margarita [4]
The equation that would let us determine the number of people or population at a certain year is calculated through the equation,

    A(t) = A(o)(2^(t - 1950)/50)

Substituting the known values,

   A(t) = (2.5 million people)(2^(2100 - 1950)/50))

   A(t) = 20 million 

<em>Answer: 20 million people</em>
3 0
3 years ago
Just trying to finish this so I can get my stanceboy racecar back
Free_Kalibri [48]

Answer:

x ≥ 4 AND  x + y ≤ 10

Step-by-step explanation:

If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:

x + y ≤ 10.

Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.

x ≥ 4.

Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.

Hope this helped!

6 0
3 years ago
Each employee in a company is either right-handed or left-handed.
PtichkaEL [24]

Answer:

Right handed 41

Right handed male 18

Right handed female 23

Male employees 22

Female employees 32

Left handed 13

Left handed male 4

Left handed female 9

4 0
3 years ago
If the answer is L * W * H then why do you have to divide once you get to H to get the correct answer?
Kisachek [45]

Answer:

Hi! I'm not quite sure what you entirely mean by this but I'll try to help. LxWxH is a formula used to find the volume of a rectangular prism or a box. If this is what you are using it for then there shouldn't a reason to divide. Unless maybe you're trying to find half of a box or you are trying to find the value of one of these in an equation but that's the only thing I can think of. Do you think you might be able to post an example in the comments?

Step-by-step explanation:

5 0
2 years ago
Mean = 25
mihalych1998 [28]

Answer:

The normal distribution is explained for the solution of this question.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean = 25, Standard Deviation = 3.8

This means that \mu = 25, \sigma = 3.8

So

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

Z = \frac{X - 25}{3.8}

If P(X > k) = a

We have to find X = k when Z has a pvalue of 1 - a.

If P(X < k) = a

We have to find X = k when Z has a pvalue of a.

3 0
3 years ago
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