MATHEMATICS HIGH SCHOOL

What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3

Answers

Answer 1
Answer:

Answer:  The correct option is

(C) n = fraction 1 over 2.

Step-by-step explanation:  We are to find the simplified form of the fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n.

From the given information, we can write the equation as follows:

(4)/(5)n-(1)/(5)=(2)/(5)n.

Solving the above equation, we get

(4)/(5)n-(1)/(5)=(2)/(5)n\n\n\n\Rightarrow (4)/(5)n-(2)/(5)n=(1)/(5)\n\n\n\Rightarrow (4-2)/(5)n=(1)/(5)\n\n\n\Rightarrow (2)/(5)n=(1)/(5)\n\n\n\Rightarrow n=(5)/(2* 5)\n\n\n\Rightarrow n=(1)/(2).

Thus, the required simplified form is n=(1)/(2).

Option (C) is CORRECT.
Answer 2
Answer: 4/5n – 1/5 = 2/5n
Add 1/5 to both sides
4/5n = 2/5n + 1/5
Subtract 2/5n from both sides
2/5n = 1/5
Divide both sides by 2/5

n = 1/2

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Solve for x.

−10<−2x+4≤8

Answers

-10 < -2x+4\leq8\ \ \ \ |-4\n\n-14 < -2x\leq4\ \ \ \ |\text{change the signs}\n\n14 > 2x\geq-4\ \ \ \ |:2\n\n\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}

A small university has six identical parking lots that hold a total of 1110 cars. Write an equation to find the number of cars each parking lot can hold.

Answers

Each parking lot can hold 185 cars.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

Let's denote the number of cars each parking lot can hold as x.

Since there are six identicalparking lots, the total number of cars they can hold is 6x.

According to the problem, the total number of cars that can be parked in these six lots is 1110.

So we can write:

6x = 1110

This equation relates the number of cars each parkinglot can hold (x) to the total number of cars that can be parked in all six lots (1110).

To solve for x, we can divide both sides of the equation by 6:

x = 185

Therefore, the required number is 185 cars.

To learn more about the division;

brainly.com/question/13263114

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Because they are all identical, they share the same amount of cars. So the equation would be 6x=1110

A data set consists of the following data points:(2, 12), (3, 7), (5, 4)

The slope of the best-fit line is -2.5. Find the y-intercept of this line.

A. 14
B. 13
C. 15
D. 16

Answers

Since the slope of the line is already given, by plotting the three points and drawing a best fit line using the given slope and extending the line to hit the x-axis, the y-intercept can be determined. Line-fitting tools can also be used; common scientific calculators have that feature.
So, the answer is D. 16

Which equation represents a line that is perpendicular to the line whose equation is y = 4x + 12?y = 4x + 4
y = -4x + 7
y = (-1/4x) + 1
y = (1/4x) + 9

Answers

Hello,
slope perpendicular of 4 is -1/4

Answer C

How do i find the perimeter of the triangle with vertices at three points (0,1),(2,1), and (0,3)?

Answers

The perimeter is the sum of the lengths of the three sides.

To find the perimeter, you need to find the lengths of the three sides.

For each side, you are given the points at the two ends.You need to find the distance between those two points.

Once you have all thee distances, add them up.

That's how.
Well I'm not just going to tell you the answer, you need to "experience" how you do it. Basically you use the distance formula, which I'll show you in a bit, to fine the length of the segments. Then you just add them up.
\sqrt{ (x_(2)- x_(1)) ^(2) +(y_(2)-y_(1))^(2)

How to write 25/4% as a decimal

Answers

First let's reduce 25/4

25/4 = 6 1/4

Now we can convert 1/4 to hundredths

6 1/4 = 6 25/100

Now just rewrite 25/100 according to place value (twenty-five hundredths is .25)

6 25/100 = 6.25

Now don't forget we are still in percentage (25/4% = 6.25%)

convert to decimal by dividing by 100 ( move decimal 2 places to the left).

6.25% = .0625
To write 25/4 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 25 by 4 what we write down as 25/4 and we get 6.25
And finally we have:
25/4 as a decimal equals 6.25
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