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Natali [406]
3 years ago
7

Christine took 3 tests and had an average of 76. She has one more test to take and she wants an average of 80. What is the lowes

t score she can get on the last test? 10pts
Mathematics
1 answer:
amm18123 years ago
6 0

Answer: She has to score a minimum of 92 marks to take her average to 80

Step-by-step explanation:

Let the equation be

Three months total = 76 x 3 = 228

(x + 228) / 4 = 80

x + 228 = 80 x 4

x = 320 - 228

x = 92

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12=24-y <br><br><br>help me pleaseee​
vitfil [10]

Answer:

y=12

Step-by-step explanation:

12=24-y

step 1

subtract each side by 24

24-24 cancels out

12-24=-12

now we have

-y=-12

we now have to divide by -1

-1/-1=1

-12/-1=12

so we can conclude that y=12

6 0
3 years ago
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What happens if the red lines are NOT paralell. Which angle types are still congruent?
jekas [21]
Hm so basically what the question is asking is
4 0
2 years ago
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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4
Alik [6]

Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

(x-h)^2+(y-k)^2=r^2

We are given the equation of a circle as

3x^2+3y^2-6\alpha x+12y-3\alpha=0

Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

\alpha=-4,\ \alpha=3

Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Stells [14]

Answer: The slope of the line is \frac{1}{2}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, given the points (-3, 5) and (1, 7), you can identify that:

y_2=5\\y_1=7\\\\x_2=-3\\x_1=1

Knowing these values you can substitute them into the formula for calculate the slope:

m=\frac{5-7}{-3-1}

Finally, evaluating, you get that the slope of that line is:

m=\frac{-2}{-4}\\\\m=\frac{1}{2}

8 0
3 years ago
Five college students' scores on a test are 25, 25, 30, 35, and 40. what is the mean for this set of scores?
klio [65]

Answer:

Mean= 31

Step-by-step explanation:

To find the mean you need to add all the number together and then divide by how many ever numbers there are.

In this case

25 + 25 + 30 + 35 + 40=155

There are 5 numbers so you would divide by 5

155/5

=31

5 0
1 year ago
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