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2 years ago

Why can you compare two fractions with the same denominator by only comparing the numerators

1 answer:

6 0

Think about it like this: You have two pizzas that are cut in 8 pieces. You ate 5 and your friend ate 7. Who ate more? Obviously your friend did since 7 is greater than 5. BUT, you can only do that if both pizzas were cut in 8 pieces. If your pizza was cut in 7 and his was cut in 12, you can't just look at the numerator and say your friend ate more. You have to find a common denominator. That's why when you have a common denominator you can compare fractions because the "things" are cut into equal pieces.

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On a map, the scale shown is 1 inch : 3 miles. If an island is 0.5 square inches on the map, what is the actual area of the isla

gtnhenbr [62]

Answer:

4.5

Step-by-step explanation:

First we need to turn the ratio of 1 : 3 into a fraction

1:3 = 1/3

Next we need to square that fraction

1 x 1 = 1

3 x 3 = 9

Then we turn those numbers into a fraction

1/9

We turn the .5 into a fraction

.5/x

And cross multiply both fraction by each other

1/9 x .5/x

1 x X = X

9 x .5 = 4.5

4.5 = X

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3 years ago

Math homework questions

DanielleElmas [232]

Y= 1/2x -2 is the equation for this line.

3 0

3 years ago

Rewrite using a single positive exponent.<br> 6^5<br> 6

Fiesta28 [93]

Answer:

$6^{4}$

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

note that 6 = $6^{1}$ , then

$\frac{6^{5} }{6}$ = $6^{(5-1)}$ = $6^{4}$

7 0

2 years ago

Use the drop-down menus to complete each equation so the statement about its solution is true.

disa [49]

Answer:

Step-by-step explanation:

So,it would be easier to simplify the right equation, so when I say "the right equation", I mean the one I will make right now. It is 8x+9. So the first problem is 8x+9=x+?. Well, if there are no solutions, the slopes have to be the same, and the y-int doesn't matter. So the answer would be + 7x because that will make the x an 8x. If there is one solution, then the slope has to be different. So literally anything but 7x will work. Even constants. If there are infinitely many solutions, then the equations have to be the same. Meaning, you would have to add 7x and 9 to make the left equation the same as the right.

6 0

3 years ago

Write an equation in point-slope form for the line that has a slope of 9/4 and contains the point (3, −4).

ozzi

Answer:

y+4 = 9/4(x-3)

Step-by-step explanation:

m=slope and b=y-intercept (probably useful for later on in the school years)

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

Substituting in what we know

y--4 = 9/4(x-3)

y+4 = 9/4(x-3)

5 0

2 years ago

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