MATHEMATICS MIDDLE SCHOOL

What is the radius of the circle with equation
x2 + y2 – 8x + 12y – 5 = 0?

Answers

Answer 1
Answer:

Answer:

radius: √(52)

Step-by-step explanation:

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In the continental United States,the ratio of states that border an ocean is 7:9 .How many of the states border an ocean?
Eight times a number increased by 9 is the same as 15 more than 7 times the number. Find the number. ​
Martha made 3 birthday cards and she wants to make more. if she makes 5 cards an hour, How many cards will she have after 6 hours?
2x + y = 7 -x + y = 1
What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x) − 4?

A class is made up of 8 boys and 6 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answers

3/14 3 out of 14 or 0.214% of a chance

403010Pa2 4 8 10Number of ticketsThe graph shows the cost of buying raffle tickets.19. write an equation shows the cost y in terms of the number of tickets x?Equation:

Answers

Simple..

you have y which is the cost of the tickets..and you have x which is the number of tickets..

So, you have those points on the graph....find an equation!

Take any of those coordinates..and find the equation of the line...in the form of y=mx+b

(2,10) and (5,25)

Using: ( y_(1)- y_(2) )/( x_(1)- x_(2) )

(10-25)/(2-5) = (-15)/(-3) =5

Thus, you know your slope. m=5

But, remember it's in the form of y=mx+b

So, use any of the coordinates...let's use (2,10)

10=5(2)+b

10=10+b

0=b

Thus, your equation is... y=5x

Thus, your answer.

You can mow 800 square feet of lawn in 15 minutes at this rate how many minutes will it take you to mow a lawn that measures 6000 square feet? Part A write a proportion to represent the problem. Use M to represent the number of minutes. Explain your reasoning.

Part B solve the proportion you wrote in part A. Then use it to answer the problem. Show your work.

Answers

If you would like to know how many minutes will it take you to mow a lawn that measures 6000 square feet, you can calculate this using the following steps:

800 square feet ... 15 minutes
6000 square feet ... M minutes = ? 

800 * M = 15 * 6000
M = 15 * 6000 / 800
M = 112.5 minutes

This will take 112.5 minutes.

Which set of three numbers could represent the lengths of the sides of a right triangle?A.

7, 24, 25






B.

8, 9, 10






C.

9, 11, 14






D.

15, 18, 21

Answers

All you have to do is use the Pythagorean theorem (a² + b² = c²) on all of them. Since, the hypotenuse is always the longest side, use the biggest number for c. 
A: 7² + 24² = 25²
   49 + 576 = 625
           625 = 625

Luckily, the answer is A.

3. If 14 is 35% of a value, what is that value?

Answers

0.35x = 14
x = 14 / 0.35
x = 40

at Mary's party 4/8 of the guest had chocolate ice cream and 3/8 of the guest had strawberry ice cream . what fraction of the ice cream was either chocolate or strawberry

Answers

7/8 because you add 4/8 and 3/8 together which is equal to 7/8.
7/8 I believe, as 4/8 had chocolate ice cream and 3/8 had strawberry and we don't know what the remaining 1/8 had, so just add who had strawberry and who had chocolate together and that will give you the probability.
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