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Ksju [112]
3 years ago
9

Solve the system of equation?2x - 4y = 107x - y = 12​

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

x = 1.153846153846154

y = -1.923076923076923

Step-by-step explanation:

Multiply 7x - y = 12 by -4 and then add it to 2x - 4y = 10

       2x - 4y = 10

+(-4( 7x - y = 12))

     -26x = -30

     \frac{-26x}{-26} = \frac{-30}{-26}

    x = 1.153846153846154

Then plug in x to get y.

  2(1.153846153846154) - 4y = 10

      2.307692307692308 - 4y = 10

     -2.307692307692308          -2.307692307692308

                 -4y = 7.692307692307692

                 \frac{-4y}{-4} = \frac{7.692307692307692}{-4}

                 y = -1.923076923076923

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Based on these results, if 250 children are asked about their favorite activity, how many children will prefer organize sports?
ser-zykov [4K]

<u>Answer:</u>

60 out of 250 children will prefer organized sports.

<u>Step-by-step explanation:</u>

We are given the results of a random survey of children between the ages of 13 and 18 about their favorite activity.

Based on these results, we are to find the number of children who will prefer organized sports if 250 children were asked about their favorite activity.

Children who will prefer organized sports = \frac{37}{155} \times 250 = 60

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3 years ago
A certain forest covers an area of 2400 km^2. Suppose that each year this area decreases by 5.75%. What will the area be after 8
kolezko [41]
We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
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3 years ago
The perimeter of a rectangular garden is 43.8 feet. It's length is 12.4 feet. What is its width?​
SCORPION-xisa [38]

Answer:

9.5

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for

w=P

2﹣l=43.8

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5 0
3 years ago
Read 2 more answers
Help pls and no links
aalyn [17]

Answer:

y > 4x - 2

Step-by-step explanation:

The basic format of a line in slope-intercept form is,

y=mx+b

This format undergoes no change when one implements it for the use of a two-variable inequality.

The parameter (m) represents the slope of a line, this can be found by using the formula (\frac{rise}{run}). Traditionally, one would use a formula to find the slope of a line that is the following, (\frac{y_2-y_1}{x_2-x_1}). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).

The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).

Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.

Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.

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3 years ago
Find the slope from the pair of points
Rina8888 [55]
What do we need to find the slope to? There is no picture
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