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STALIN [3.7K]
2 years ago
9

I am stuck on these last four questions please help if possible.

Mathematics
1 answer:
zloy xaker [14]2 years ago
4 0

Answer:

Step-by-step explanation:

9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)

    -8.8 + 2.2(1.9x) = 0.66x - 2.64

    -8.8 + 4.18x = 0.66x - 2.64

     4.18x - 0.66x = 8.8 - 2.64

     3.52x = 6.16

     x = 1.75

10). 3.2(1 + 2.6x) = 2.4(x - 3.6)

     3.2 + 8.32x = 2.4x - 8.64

     8.32x - 2.4x = -3.2 - 8.64

     5.92x = -11.84

      x = 2

11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)

     9.2x - 25.3 = 3.9 + 0.8 + 4.4x

     9.2x - 25.3 = 4.7 + 4.4x

     9.2x - 4.4x = 25.3 + 4.7

     4.8x = 30

      x = 6.25

12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)

     0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10

     0.6x - 4.4 = -2.2x + 15.90

     0.6x + 2.2x = 15.90 + 4.4

     2.8x = 20.30

     x = 7.25

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Option C

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<em><u>Solution:</u></em>

Given that,

Math teacher currently has 109 students and the box has 88 prizes in it

The math teacher likes to keep at least twice as many prizes in the box as she has students

So, she wants the number of prizes to be twice the number of students

Therefore,

number of prizes = 2 x 109 students

number of prizes = 2 x 109 = 218 prizes

The box has 88 prizes in it

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3 0
2 years ago
I need help with this question.
ivann1987 [24]

9514 1404 393

Answer:

  a8 = 4

Step-by-step explanation:

Put 8 where n is and do the arithmetic.

  a8 = (1/2)(8) = 8/2 = 4

The 8th term of this arithmetic sequence is 4.

4 0
2 years ago
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DerKrebs [107]
I think it should also be 16 but I’m not pretty sure so hopefully you get it right !
7 0
3 years ago
Read 2 more answers
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

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2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

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You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

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So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
Please help! In the question you have to find whether the number is either rational or irrational.
Mnenie [13.5K]

Answer:

Square root of 30 is irrational because the answer is a non-terminating decimal.

4/7 is rational because it is a fraction.

21 divided by the square root of 4 is irrational because the result is a non-terminating decimal.

Pi is irrational because it's a non-terminating decimal.

-27 is rational because rational numbers can be positive or negative.

I hope this is correct! :-)

4 0
3 years ago
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