MATHEMATICS MIDDLE SCHOOL

There are 26 tiles in a bag. Of these, 15 are purple, and the rest are yellow. What are the odds in favor of drawing a yellow tile?

Answers

Answer 1
Answer: There are 15 purple tiles and 11 yellow tiles.

Odds of drawing yellow tile is 11/26
Answer 2
Answer:

Try drawing yourself a chart to help you figure it out.  Here is an example:

45

-

15

__

30

This leaves 30 yellow, and 15 purple.  Each letter will be used as five tiles of the color.  

(P,P,P) : (Y,Y,Y,Y,Y,Y)  

This shows the number of tiles, NOT the answer.  Because this is in the favor of the Yellow tiles, and 30 is twice the amount of 15, you will have 30:15.  To simplify this to it's SPF (smallest possible form), you would divide 30/15, which gives you 2:1.  I hope this helps you.  

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Three vertices of a square are (–2, 2), (–2, –3), and (3, –3). What is the fourth vertex of the square?

A.
(–3, 2)

B.
(–2, 3)

C.
(3, 2)

D.
(3, 4)

Answers

C (3,2) because since you know that the sides of the square lie on the lines x=-2 and x=3 and the vertices are 5 units apart, the next side which lies on x=3 must be (3,2)

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

Answers

Answer:

68.04

Step-by-step explanation:

What fraction of 1 gallon is 5 cups

Answers

5/16.
4 quarts to a gallon. 4 cups to a quart. each cup is 1/16 of a gallon. therefor 5/16

Susan drove 571 miles and the trip took 14 hours of driving time what was her average speed for the hours that she drove

Answers

Answer:

571 miles / (14 hours) = 40.79 miles/hour

The expression square root 300 is equivalent to A 50 square root 6
B 12 square root 5
C 3 square root 10
D 10 square root 3

Answers

D is the correct answer

2x + y = 7
-x + y = 1

Answers

2x + y = 7 ---> ( 1st equation )
-x + y = 1  ---> ( 2nd equation)

Let's solve this problem by substitution method
So let's set 2nd equation to y equals
-x + y = 1   ---> ( 2nd equation)
adding x on both sides 
y = 1 + x   ---> (3rd Equation )

Substituting the value of y in equation 1
2x + x + 1 = 7
subtracting 1 from both sides
2x + x = 6
adding like terms on the left side
3x = 6
dividing both sides by 3
x = 2

Substituting the value of x in 2nd equation
-x + y = 1
-2 + y = 1
adding 2 on both sides
y = 1 + 2
y = 3

So, our answer is x = 2
                               y = 3

To check the answer pick any equation and substitute the values of x and y check check if it is equal to Right hand side
2(2) + 3 = 7 ( substituting in 1st equation) 
4 + 3 = 7
7 = 7 

-2 + 3 = 1 ( substituting in 2nd equation)
1 = 1 

Hence proved.

Hope this helps you.  :D
2x+y=7
-x+y =1 --> y = 1+x

Substitution y -->
2x+1+x=7;
3x+1=7;
3x=6;
x=2
y=1+2=3

x=2, y=3
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