MATHEMATICS MIDDLE SCHOOL

Kevin is riding his bike on a 10 1/8 mile bike path. He has covered 5 3/4 miles already. How many more miles does he have to go to finish?

Answers

Answer 1
Answer: You do 10 1/8 minus 5 3/4 which is 35/8, or 4 3/8
Answer 2
Answer: so pretty much all we have to do here is subtract 10 and 1/8 minus 5 and 3/4. here's the solving 
      1             3
10 ---   -    5 ---
      8             4

the first thing we should do here is turn them into mixed fraction by multiplying the whole number and the denominator. and add the top number. so for 10 and 1/8 we multiply 8 and 10 which is 80 and add the one.
so now we have our numerator which is 81/8 the bottom number stays the same!!
so we now have our first mixed fraction!!
81
---
 8
 now 5 and 3/4 as a mixed number is 23/4 see how the bottom number stayed the same?
23
---
 4
MOVING ON!
now we just changed how these numbers look like so lets set them up again 

81       23
---   -   ---
 8         4
now before we solve this we have to make the denominators( the bottom numbers) the same! 

so we can multiply the 4 by 2 to get 8!
but always make sure to do the same to the top as you did to the bottom 
so that means we are also multiplying 23 by 2!!
so we have our new fraction!
46
---
 8
see this is simple now! lets set up our fractions again

81        46
---   -    --- 
 8          8
now we just subtract the top numbers 81 - 46 = 35!!
so our answer is 35/8

or written as a decimal 4.375 to be exact:))

hope this helped :)

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Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and than explain how the figure proves the Pythagorean Theorem.

Answers

The triangle inside the three squares shows the proof of the Pythagorean Theorem

Area of one triangle is 25 sq units, so one side  = 5

Area of second triangle is 144 sq units, so the side  = 12

Area of third triangle is 169sq units, so one side  = 13

Therefore three side of the triangle are, 5, 12 and 13

proof of the Pythagorean Theorem

Base = 12

Height = 5

Hypotenuse = 13

5^2 + 12^2  = 25 +169 =13^2

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the triangle inside the three squares, the hypotenuse is the longest side, which is 13 units long.

The other two sides are 5 units and 12 units long.

We can see that the square with side length 13 has an area of 169 square units.

The square with side length 5 has an area of 25 square units, and the square with side length 12 has an area of 144 square units.

The sum of the areas of the two smaller squares is 25 + 144 = 169 square units.

This is equal to the area of the square with side length 13, which is the hypotenuse of the triangle.

Therefore, the Pythagorean Theorem is proved.

Here is a diagram of the proof:

right triangle inside three squares. The hypotenuse of the triangle is the side of the largest square. The other two sides of the triangle are the sides of the two smaller squares.

The hypotenuse of the triangle is the side of the largest square. The other two sides of the triangle are the sides of the two smaller squares.

Learn more about Pythagorean Theorem here:

brainly.com/question/231802

#SPJ3

Cathy bought 2 jars of sauce for $3. What is the constant of proportionality ?

Answers

It's $1.50 each jar

What is the LCM of 27,48, and 66

Answers

The LCM of 27, 48, and 66 is 4,752.

Which of the following represents “ten times the sum of a number and fourteen is equal to nine times the number” 10(n+14)=9N

10(n+14)=N

10(n+14)=14

Answers

Answer:

10(n+14)=9N

Step-by-step explanation:

Lets let N represent the number that which we do not know.

We know that 10 is multiplied by the sum of N and 14, so lets write that down:

10(n+14)

We also know that what we just found is equal to 9 multiplied by the same number:

10(n+14)=9N

The variable stays the same throughout the entirety of the equation.
The answer would be 10(n+14)=9N

2+2+3^19+(63/3) how come math is tiring me but science isn't

Answers

Answer:

Can you explain this more

Step-by-step explanation:

2+2=4

3^19 = 1162261467

63/3 = 21

21+4=25

1162261467+25=1162261492

What is the gcf of 12, 35, and 15

Answers

12: 1,2,3,4,6,12
15: 1,3,5,15
35: 1,5,7,35
1 is the only factor they all have in common, so the GCF is 1
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