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Grace [21]
2 years ago
12

In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Fif

ty students were given a pre and post test for their math course. Overall, most students increased their scores by 20% points. The grades on the post test went up to 95%. What is the starting range for the grades on the test?
Mathematics
1 answer:
miv72 [106K]2 years ago
6 0

We conclude that the starting average grade is 79.17%

<h3>How to write the equation and solve it?</h3>

There are 50 students, let's say that the grades are measured between 1% and 100%.

And the average grade of the 50 students is A.

We know that after it increased by 20%, the average of the grades is 95.

Then we just need to solve the percentage equation:

95 = A*(1 + 20%/100%) = A*(1.2)

95/1.2 = A = 79.17

We conclude that the starting average grade is 79.17%

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

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Five percent of 1/5 is equal to
blagie [28]

1/5 =

Percent = 20%

Decimal = 0.2

-StarGaze

6 0
3 years ago
Why isn’t the square root of 10 an integer, answer asap please
Volgvan

Answer:

because the square root of 10 is an irrational number, and only rational numbers are integers. integers are whole numbers and have no fractions or decimels... hope it helps

8 0
3 years ago
James has a certain amount of money. If he buys $3$ pens and $2$ pencils, he will have $\$2$ left over. If he buys $2$ pens and
labwork [276]

The cost of pen and pencils are related to the number that can be bought

with a given amount of money.

  • <u />\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

Reasons:

The given parameters are;

If  the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2

If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6

The amount of money Judith has = The amount of money with James

The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils

The cost of one pen = a

The cost of one pencil = b

Required:

To find the ordered pair (a, b)

Solution:

Let <em>X</em> represent the initial amount of money James has, we get;

X - (3·a + 2·b) = 2...(1)

X - (2·a + 3·b) = 6...(2)

2·X = 6·a + 6·b...(3)

Therefore;

X = (6·a + 6·b) ÷ 2 = 3·a + 3·b

Which from equation (1) gives;

3·a + 3·b - (3·a + 2·b) = 2

3·a + 3·b - 3·a - 2·b = 2

3·b - 2·b = 2

b = 2

Subtracting equation (1) from equation (2) gives;

(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4

-2·a - 3·b + 3·a + 2·b = 4

a - b = 4

a = 4 + b

∴ a = 4 + 2 = 6

a = 6

<u />

<u />

\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

Learn more about word problems and simultaneous equations here:

brainly.com/question/14294864

8 0
2 years ago
Fully factorise 8x+24
irinina [24]
8(x+3)
In this form, it is fully factored. All you need is a GCF, which is 8.
Hope this helps!
6 0
3 years ago
Read 2 more answers
a middle school had 600 students and 34% of them are in the 8th grade one fourth walk to school how many walk to school
Delvig [45]

Answer:

Step-by-step explanation:

basic facts:

34% is the same as 34/100

the word 'of' in maths also means multiply

34% of 600 is the same as 34/100 * 600, which is 204

a quarter of 204 is the same as 1/4*204, which is 51

hopefully this helps!!

4 0
3 years ago
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