MATHEMATICS MIDDLE SCHOOL

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)

A. (–4, –1)

B. (–4, 0)

C. (–4, 1)

D. (–4, 2)
Three vertices of a rectangle are given. Find the coordinates - 1

Answers

Answer 1
Answer: Start with two vertex points from one side of the rectangle:
(4, 0) and (2, -3).
Subtract the X coordinates:  4 - 2 = 2
Subtract the Y coordinates:  0 - -3 = 3
Now, start with the third vertex point that is given:
(-2,4).
The differences for the X & Y coordinates between the third vertex point and the fourth vertex point will be the same as the differences between the 1st and 2nd points, so start with the 3rd point X coordinate and subtract 2 from it to get the X coordinate for the fourth point:
-2 - 2 = -4.
Then, take the 3rd point Y coordinate and subtract 4 to get the Y coordinate for the fourth point:
4 - 3 = 1
So, your fourth vertex point is (-4, 1).
See the attached picture.
This works because each of the two sets of sides of a rectangle are parallel to each other.  

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On interstate highways, the minimum allowable lane width is 12 feet. Write an inequality to show the possible width of a lane.
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What is the reciprocal of 15?

A store is having a sale on where movies are 15% of their original price. A movie is on sale for $22.10. What is the original price of the movie?

Answers

Answer:

$147.33

Step-by-step explanation:

In order to solve this problem we just have to do a quick reasoning, the problem states that the movies are being sold for the 15% of their original price, so 22.10 represents the 15% of the original price, with this we can just do a rule of thirds to be able to calculate how much is the 100%.

(15)/(100)= (22.1)/(x)

Now if we just clear the x we can solve the equation for X.

x=((22.10)(100))/(15)

x=(2210)/(15) \nx=147.33

So the original price would be 147.33
ok so first off understand what they are saying. there is a movie on sale for $22.10 which is 15 percent of the original price. So now what you do is set up the problem.

22.10 is = 15% of the price

x = 100% of the price (original price)

 15   = 22.10
100        x

now just use cross multiplication.

15x = 22.10 · 100

solve for x.

15x = 2210
15       15

x = 147.33333333 since the 3's go on forever you can simply put it into a fraction 

x = 147  3
              9

whenever there is a repeating number you can put it into a fraction but putting the repeating number over a 9

Sergei says that 10% of a number will always be less than 20% of any other number.

Answers

Answer:

The statement is true sometimes

Step-by-step explanation:

Let

x------> a number

y-----> another number

we have that

0.10x < 0.20y ----> inequality that represent the situation

Verify

For x=100, y=200

substitute in the inequality the values of x and y

0.10(100) < 0.20(200)

10 < 40 -----> is true

For x=600, y=100

substitute in the inequality the values of x and y

0.10(600) < 0.20(100)

60 < 20 -----> is not true

Therefore

The inequality is true sometimes
That statement is only true sometimes.  If you use 500 and 10, 10% of 500 is 50, while 20% of 10 is only 2.  Clearly, 50 is larger than 2.

Mrs. Jackson bought 6 ballon of juice for the party. Each gallon has 16 cups. If 3 cups of juice were left over,how many cups did People drink at the party?A. 13 Cups
B. 48 cups
C. 78 cups
D. 93 cups

Answers

answer is D. 93 cups I think
The answer is D 93.....

A hose fills a hot tub at a rate of 2.58 gallons per minute. How many hours will it take to fill a 268​-gallon hot​ tub?

Answers

Answer:

1.73 hours

Step-by-step explanation:

This can be solved with proportions.

(2.58 gallons)/(1 minute) = (268 gallons)/(x minutes) \n

Cross multiply and you get:

2.58x gallons * minutes = 268 gallons * minutes\n

Divide by 2.58 gallons and you get:

x minutes = (268 gallons)/(2.58 gallons) * minutes \nx minutes = 103.876 minutes\nx = 103.876 minutes\n

And to find out the number of hours that is, divide by 60 and you get 1.73 hours.

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Answers

8/9 = 48/54
1/6 = 9 /54

Each handkerchief is 9/54. 5 full scarves would be 45/54 leaving 3/54. 1/3 of a complete scarf is left

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Answers

well.... i would say to subract so it would be... 2.23
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