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3 years ago

3y + 8 = ½ y + 28 Find y

Mathematics

1 answer:

Bess [88]3 years ago

8 0

$\text{Hi there! :]}$

$\large\boxed{y = 8}$

$3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8$

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Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches l

ser-zykov [4K]

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

6 0

3 years ago

S=4lw + 2wh s= 92 l=9 w= 2 solve for H?

lisov135 [29]

Answer: 2

Step-by-step explanation:

96 = 4(5)(4) + 2(4)H

96 = 80 + 8H

96 - 80 = 8H

16 = 8H

16/8 = H

2 = H

Done!

8 0

3 years ago

A student solved this problem and said the answer is 12 pounds. Heather had 6 3/4 pounds of apples. She bought another 5 1/2 pou

Nataliya [291]

The answer is D because 6 3/4 in an improper fraction is 27/4. 5 1/2 in an improper fraction is 11/2. If you want to add 27/4 and 11/2, then you have to multiply both the numerator and denominator of 11/2. Now, 11/2 will be turned into 22/4. 27/4+22/4=49/4. Now, you have to turn 2 1/4 into an improper fraction to subtract. 2 1/4 will be turned into 9/4. 49/4 - 9/4=40/4. 40/4 is simplified to 10. So the answer is, D.

Hope that helped :)

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3 years ago

Read 2 more answers

Complete the frequency table:

Gala2k [10]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 18 165

Age 15 and above 65 195

Column totals 152 110 98 360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 87 18 60 165

Age 15 and above 65 92 38 195

Column totals 152 110 98 360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%