MATHEMATICS MIDDLE SCHOOL

Show work to find the solution for the system:
x = 2y
3x - 6y = 10

Answers

Answer 1

Answer:

Answer: No solutions

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Work Shown:

3x-6y = 10

3(2y)-6y = 10 ... plug in x = 2y

6y-6y = 10

0 = 10

We get a false statement at the end.

This means the system is inconsistent with no solutions.

Graphing each equation produces two parallel lines that never intersect.

Answer 2

Answer: There is no solution to this problem. When you substitute 2y in for x in the equation 3x-6y=10, you will get 3(2y)-6y=10. When you multiply 3(2y), you get 6y. 6y-6y equals 0. 0 cannot equal 10.

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How does finding the greatest common factor help you to solve real-world problems?

Answers

Assuming you're asking about the GCF (Greatest Common Factor) Greatest Common Factors (GCF) can help you in real life problems with fractions and measuring things. Below is a real life example.Let's say you want to send cookies into one of two classes and want to make sure you have an even number per student. You know that one class has 8 students and the other has 10 students. How many cookies do you make?Answer: All you have to do is figure out the biggest number that goes into each number equally (division). In this case the answer would be 2. If i helped please comment below And i hope i helped you!

Divide 36 in the ratio of 2 4 how do I divide a quantity into a ratio

Answers

Add up the 2 sides of the ratio. In a ratio of 2:4, one will get 2 shares and the other will get 4 shares. There are 2+4= 6 shares all together. The 6 shares add up to 36, so how much is each share ? It's. 36/6 = 6 in a share.<br />So the small side of the ratio gets 2 shares = 12, and the big side gets 4 shares = 24. The split is 12:24. Those numbers are in the ratio of 2:4 and they add up to 36. ====> Add the sides of the ratio to find the total number of 'shares'.

Answer:

Step-by-step explanation:

Geoffrey and his babysitter spent 20 minutes preparing dinner, 2 hours and 30 minutes playing board games, and half an hour making dessert. How many minutes did they spend doing these activities?

Answers

200 minutes
20 + 60 + 60 + 30 + 30 = 200

This is very simple!!
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Don't worry, no need to panic.
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Just add the number of minutes up!!
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Write the numbers that you can see are evident down.
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20... 2 hours and 30 minutes... no more.
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BUT WAIT!!
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Half an hour looks suspicious.
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Isn't that 30 minutes?
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Add that to our list.
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Now, we have to convert 2 hours to minutes.
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Arggggh!!
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Don't worry, there's 60 minutes in an hour, so 60 x 2 is 120 minutes!!
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Add em' up!!
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20 + 120 + 30 + 30 is...
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200 minutes!!
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Or, 3 hours and 20 minutes.
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Hope I helped!!

Tricia had 4 1/8 yards of fabric to make curtains. When she finished she had 2 3/8 yards of fabric left. She said she used 2 2/8 yards of fabric for the curtains. Do you agree?

Answers

Well for this you have to do 4 1/8 - 2 3/8. You cannot subtract 1 - 3, so you have to take away 1 from three and add 8 to 1 so now the equation is 3 9/8 - 2 3/8. This is equal to 1 6/8 or 1 3/4, so no, she did not use 2 2/8 yards of fabric.

No because if you add up the fabric she 'used' and the fabric she made to make the curtains it doesn't match up with the original yards of fabric she had to make the curtains.

2 3/8+ 2 2/8= 4 5/8

4 5/8 is the supposedly original fabric she had. It's only 1/2 off from the original fabric of yards.

So no I don't agree.

Mrs morales wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points . The maximum number of points possible on the test is 100.Questions need help with the graphics

Answers

I can solve it, but I am struggling on explaining how I solved it. Here's the answer.

x+y=15

5x+10y=100

x=10 and y=5

10+5=15

5(10)+10(5)=100
50+50=100
100=100

What is the volume of the right rectangle prism? ___Cm