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3 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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Find a container that you think holds more than 1 liter. Use a marked liter container to measure the capacity of the container y

aleksley [76]

You would have to get the container and put water in it but the container has to hold more than 1 liter so you would see where the water is at the measured point.

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3 years ago

Answer two questions about Equations A and B:

DiKsa [7]

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

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3 years ago

Each of the 6 people in mandy's family orders 2 tacos. Each taco cost 3$. What is the total cost of the tacos?

MatroZZZ [7]

Answer:

Step-by-step explanation:

6 x 2= 12

12 x 3= 36

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2 years ago

Greta currently works 45 hours per week and earns a weekly salary of $729. She

marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0

2 years ago

Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?

scoray [572]

Step-by-step explanation:

With this kind of problem, we're looking at an equation in the form

y - y1 = m(x - x1)

(m = slope)

so we can substitute m, y1, and x1 with the values we're given.

y - y1 = m(x - x1)

y - 1/3 = 3/4(x - 4)

Answer:

y - 1/3 = 3/4(x - 4)

6 0

3 years ago