MATHEMATICS MIDDLE SCHOOL

The midpoint of AB is M (2,0). If the coordinates of A are (7, -2), whatare the coordinates of B?

Answers

Answer 1
Answer:

Answer:

The coordinates of point B are (-3,2)

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M((x_1+x_2)/(2),(y_1+y_2)/(2))

we have

M(2,0)\n(x_1,y_1)=(7,-2)

substitute

(2,0)=((7+x_2)/(2),(-2+y_2)/(2))

Find the value of x_2

we have that

2=(7+x2)/(2)

4=7+x_2\nx_2=-3

Find the value of y_2

we have that

0=(-2+y_2)/(2)

0=-2+y_2\ny_2=2

therefore

The coordinates of point B are (-3,2)

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Tim loves reading fiction, and he can read 100 pages in 2 hours. How many pages he can read in 48 mins.

Answers

2 hours is equivalence of 120 minutes

If he reads 100 pages in 120 minutes,

the he reads (48 * 100) / 120 pages in 48 minutes = 4800/120 pages = 40 pages

He reads 40 pages in 48 minutes.

The product of two consecutive integers is 5 more than three time the larger. What are the integers?

Answers

When calculating consecutive integers, the smaller number is x and the larger number is (x + 1).
So the equation you can use is x + (x + 1) = 5 + 3(x + 1)
This is because the sum of the consecutive integers are equal to 5 more than 3 times the larger integer.
Now simplify:
x + (x + 1) = 5 + 3(x + 1)
2x + 1 = 5 + 3(x + 1)
2x + 1 = 5 + 3x + 3
2x + 1 = 3x + 8
Now isolate the variable:
2x + 1 = 3x + 8
Subtract 2x from both sides:
1 = x + 8
Subtract 8 from both side:
-7 = x
x = -7
So the smaller number is -7 and the larger number is -6.

Now check your answer:
-7 + (-7 + 1) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 + (-6) = 5 + 3(-7 + 1)
-7 - 6 = 5 + 3(-7 + 1)
-13 = 5 + 3(-7 + 1)
-13 = 5 + 3(-6)
-13 = 5 + (-18)
-13 = 5 - 18
-13 = -13
This works!

So the integers are -7 and -6.

Find a weight in kilograms of 150 pound person round to the nearest hundred

Answers

Answer:

68.04

Step-by-step explanation:

At San Jacinto Middle School there are 528 students and 22 teachers. What is the ratio of students to teachers at this Middle School?

Answers

Answer:

528:22

Step-by-step explanation:

528 students : 22 teachers

                     ^∧

                      To

Final answer:

The ratio of students to teachers at San Jacinto Middle School is 264 : 11, which means for every 11 teachers, there are 264 students.

Explanation:

The subject of the question is Mathematics and it pertains to the concept of ratios. Ratios are used to compare two or more numbers. In this context, we are given the total number of students and teachers at San Jacinto Middle School and asked to find the ratio of students to teachers. To calculate this, we divide the number of students by the number of teachers.

Here's how you do it step-by-step: The school has 528 students and 22 teachers. So, the ratio would be 528 : 22. This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 2 in this case. Hence, the simplified ratio is 264 : 11.

So, the ratio of students to teachers at San Jacinto Middle School is 264 : 11. This means for every 11 teachers, there are 264 students.

Learn more about Ratio here:

brainly.com/question/32531170

#SPJ12

Andy is one fourth as old as his grandfather Who is 76 years old right equation to determine whether Andy is 19 or 22 years old

Answers

Well, the equation would be 76*(1)/(4) or 76/4. Either works. 76/4 is 19. So Andy would be 19 years old.

I hope this helped :)

What is 2 - 7 = 5n - 10 solved

Answers

the answer is 1 :) . i hope i helped ❤️.
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