MATHEMATICS MIDDLE SCHOOL

1/2r + 2(3/4r - 1) = 1/4r + 6

Answers

Answer 1
Answer: (1)/(2)r+2((3)/(4)r-1)=(1)/(4)r+6\ \ \ \ \ \ \ |omit\ bracket\n\n(1)/(2)r+(3)/(2)r-2=(1)/(4)r+6\ \ \ \ \ \ |\cdot4\n\n2r+6r-8=r+24\ \ \ \ \ \ |combine\ like\ terms\n\n2r+6r-r=24+8\ \ \ \ \ |simplify\n\n7r=32\ \ \ \ \ |:7\n\nr=(32)/(7)=4(4)/(7)
Answer 2
Answer: (1)/(2)r+2((3)/(4)r-1)=(1)/(4)r+6\n\n(1)/(2)r+2*(3)/(4)r-2\cdot1=(1)/(4)r+6\n\n(1)/(2)r+(3)/(2)r-2=(1)/(4)r+6\n\n(1+3)/(2)r-2=(1)/(4)r+6\n\n(4)/(2)r-2=(1)/(4)r+6\n\n2r-2=(1)/(4)r+6\ \ \ \ \ \ |add\ 2\ to\ both\ sides\n\n2r=(1)/(4)r+8\ \ \ \ |subtract\ (1)/(4)r\ from\ both\ sides

1(3)/(4)r=8\n\n(1\cdot4+3)/(4)r=8\n\n(7)/(4)r=8\ \ \ \ \ |divide\ both\ sides\ by\ (7)/(4)\ (multiply\ both\ sides\ by\ (4)/(7))\n\nr=8\cdot(4)/(7)\n\nr=(8\cdot4)/(7)\n\nr=(32)/(7)\n\n\boxed{r=4(4)/(7)}

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Hank bought 2.4 pounds of apples. each pound cost 1.95. how much did hank spend on the apples.

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Hollo baby mesagese yes itsny very much

How many cups are there in 6.25*10^22 nL? Hint: nL is the abbreviation for nanoliter.

Answers

A nano is essentially one-billionth or 1/1,000,000,000.
Since writing all these zeroes is inefficient and can easily lead into errors, we'll just use scientific notation instead.
A nanoliter is 10^(-9) liters.

So we have 6.25 * 10^(22) * 10^(-9) = 6.25* 10^(13) liters.

A liter is 4.22675 cups. So now we can multiply 4.22675 by 6.25 * 10^13.
Use a calculator... you get 26.4171875 * 10^13.

*Note: There may be slight precision errors. This is inevitable when you're working with very large numbers, as the smallest initial change can spiral into much larger differences.

Faye has 180 yellow beads and 12 packets. Faye decided to double the number of yellow beads in the mix. How many packets will she make if she fills rach oacket with 60 beads

Answers

Faye has 24 packets of yellow beads

What is 8.525 rounded to the nearest tenth

Answers

the answer would be 9 because you have to see the number after the decimal point is bigger than 5 and if its 5 you add one to the number before the decimal
8.525 rounded to the nearest tenth is 8.500

Break Apart ones to make a ten. Then add and write the sum. 62 + 9 =

Answers

Answer:

62 + 9 = 71.

Step-by-step explanation:

Break Apart to make tens is a strategy to help children to add numbers in a easier way. This is applied when they have to sum 2-digits number, which is new for them.

So, first we could think about how many units in 62 are left to each 70, we'll find that 8 units are left to reach 70. So, this 8 will help to break the simplest part, which is 9, we can rewrite 9 as the sum of 8+1.

Then, the next step is add 62+8, because kids know that makes a ten, 62+8=70, now we have a ten formed. Lastly, we just add the second number missing, which is 1. 70+1=71.

You see, this strategy consist in making tens to help children to sum, because they are familiarize with sum based on tens.

Final answer:

To add 62 and 9, break apart the 9 into 1 and 8. Add the ones and tens place separately, then combine them to get the final sum of 73.

Explanation:

To add 62 and 9, start by breaking apart the 9 into a 1 and an 8. Now, you can add the ones place of 62 with the one from 9, which gives you a sum of 3. Then, add the tens place of 62 with the eight, which gives you a sum of 70. Therefore, 62 + 9 = 70 + 3 = 73.

Learn more about Addition here:

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You use 3 cans of soup to serve 5 people. If you want to serve 20 people, what should you do?

Answers

If you would like to know how many cans of soup you will need, you can calculate this using the following steps:

3 cans of soup ... 5 people
x cans of soup = ? ... 20 people

3 * 20 = 5 * x    /5
x = 3 * 20 / 5
x = 12 cans of soup

The correct result would be 12 cans of soup.
Most of the information’s that are required arealready given in the question.
The number of cans used to serve 5 people = 3
Then
The number of cans required to serve 1 people = (3/5) * 1
                                                                             = (3/5) cans
So
The number of cans required to serve 20 people = (3/5) * 20 cans
                                                                               = 3 * 4 cans
                                                                               = 12 cans
So 12 cans will be required to serve 20 people.I hope the procedure is clearenough for you to understand.
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