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2 months ago

Guest #3589

2 months ago

48 times he will need to fill the pint container.

Question

solve the equation. choose the answer in simplest form. 4x= 8/7 (A) 1/28 (B) 1/7 (C) 2/7 (D) 7/2

Solution 1

4x=8/7

x=(8/7)Ã·4

x=2/7

x=(8/7)Ã·4

x=2/7

Solution 2

4x = 8/7

/4Â Â Â /4

x = (8/7)/4 (Keep, change, flip)

x = 8/7 * 1/4

x = 8/28

x = 2/7

/4Â Â Â /4

x = (8/7)/4 (Keep, change, flip)

x = 8/7 * 1/4

x = 8/28

x = 2/7

Question

The width of a rectangle is twice itâ€™s height if the perimeter is 54 inches find the area

Solution 1

The area is 162.Â

You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.Â

You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.Â

Solution 2

Let the height be x.

â‡’ Height = x

The width of a rectangle is twice itâ€™s height.

â‡’ Width = 2x

Perimeter = 54

â‡’2 (x + 2x) = 54

Solve x:

2 (x + 2x) = 54

Combine like terms:

2 (3x) = 54

Distribute 2:

6x = 54

Divide both sides by 6:

x = 9

Height = x = 9

Width = 2x = 2(9) = 18

Area = 9 x 18 = 162 inÂ²

**Answer: 162 inÂ²**

â‡’ Height = x

The width of a rectangle is twice itâ€™s height.

â‡’ Width = 2x

Perimeter = 54

â‡’2 (x + 2x) = 54

Solve x:

2 (x + 2x) = 54

Combine like terms:

2 (3x) = 54

Distribute 2:

6x = 54

Divide both sides by 6:

x = 9

Height = x = 9

Width = 2x = 2(9) = 18

Area = 9 x 18 = 162 inÂ²

Question

What is the length of the diagonal of a square with 8 foot sides?

Solution 1

Using the Pythagorean Theorem,Â

aÂ² + bÂ² = cÂ²

cÂ² = 8Â² + 8Â²

cÂ² = 64 + 64

cÂ² = 128

c =Â âˆš128

c =8âˆš2 (radical form) orÂ Â 11.31 feet (nearest hundredth)

**Answer:Â 11.31 feetÂ **

aÂ² + bÂ² = cÂ²

cÂ² = 8Â² + 8Â²

cÂ² = 64 + 64

cÂ² = 128

c =Â âˆš128

c =8âˆš2 (radical form) orÂ Â 11.31 feet (nearest hundredth)

Question

A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open.

Solution 1

So

if you assume that the month has 30 days and that the library opens at midnight, then

24 hours in a day

5 pm=12+5=17 hours

on wednessday=17-2=15 hours

wednessday=1/7 of week

so we find 1/7 of 30 which is 30/7=4 and 2/7

then subtract that from 30

30-4 and 2/7=25 and 5/7

ok so then we have

25 and 5/7 days is 17 hours and

4 and 2/7 days is 15 hours

so just multipy them and add

25 and 5/7 times 17=437.143 hours

4 and 2/7 days times 15 =64.2857

add

437.143+64.2856=501.429

so aprox 501.429

the real equation isÂ where n represents the number of days in the month

apros 501.429

if you assume that the month has 30 days and that the library opens at midnight, then

24 hours in a day

5 pm=12+5=17 hours

on wednessday=17-2=15 hours

wednessday=1/7 of week

so we find 1/7 of 30 which is 30/7=4 and 2/7

then subtract that from 30

30-4 and 2/7=25 and 5/7

ok so then we have

25 and 5/7 days is 17 hours and

4 and 2/7 days is 15 hours

so just multipy them and add

25 and 5/7 times 17=437.143 hours

4 and 2/7 days times 15 =64.2857

add

437.143+64.2856=501.429

so aprox 501.429

the real equation isÂ where n represents the number of days in the month

apros 501.429

Question

How do i solve 3 (2y-4)=8y+9-9y

Solution 1

3(2yÂ -Â 4)Â =Â 8yÂ +Â 9Â -Â 9y

DistributeÂ 3:

6y - 12 = 8y + 9 - 9y

Combine like terms:

6y - 12 = -y + 9

Add y to both sides:

7y - 12 = 9Â

Add 12 to both sides:

7y = 21

Divide both sides by 3:

y = 3

DistributeÂ 3:

6y - 12 = 8y + 9 - 9y

Combine like terms:

6y - 12 = -y + 9

Add y to both sides:

7y - 12 = 9Â

Add 12 to both sides:

7y = 21

Divide both sides by 3:

y = 3

Solution 2

The first step for solving this equation is to distribute 3 through the parenthesis.

6y - 12 = 8y + 9 - 9y

Collect the like terms with y.

6y - 12 = -y + 9

Move the variable to the left side and then change its sign.

6y + y - 12 = 9

Now move the constant to the right side and change its sign.

6y + y = 9 + 12

Add the terms on the left side of the equation.

7y = 9 + 12

Add the numbers on the right side.

7y = 21

Lastly,, divide both sides of the equation by 7 to find your final answer.

y = 3

This means that y = 3 is the correct answer to your question.

Let me know if you have any further questions.

:)

6y - 12 = 8y + 9 - 9y

Collect the like terms with y.

6y - 12 = -y + 9

Move the variable to the left side and then change its sign.

6y + y - 12 = 9

Now move the constant to the right side and change its sign.

6y + y = 9 + 12

Add the terms on the left side of the equation.

7y = 9 + 12

Add the numbers on the right side.

7y = 21

Lastly,, divide both sides of the equation by 7 to find your final answer.

y = 3

This means that y = 3 is the correct answer to your question.

Let me know if you have any further questions.

:)

Question

the temperature last night was 10 degrees below 0. The next morning by 9 a.m. the temperature had risen 12 degrees. what was the temperature at 9 a.m.?

Solution 1

It was 2 degrees.................................................................................................................................................................................

Solution 2

It was two degrees at 9am

Question

Data: (12 ,8 , 6 , 12 , 16 , 12 ) median ............. mode......

Solution 1

Ascending order= Â 6, 8, 12, 12, 12, 16

No of observations (n)Â = 6

Median = Mean of the values of (n/2) and (n/2+1)

Â Â Â Â Â Â Â = Mean values of 3rd and 4th values

Â Â Â Â Â Â Â = 12+12/2

Â Â Â Â Â Â Â = 12

Therefore,**median = 12**

**Mode = Most number of observations= 12**

No of observations (n)Â = 6

Median = Mean of the values of (n/2) and (n/2+1)

Â Â Â Â Â Â Â = Mean values of 3rd and 4th values

Â Â Â Â Â Â Â = 12+12/2

Â Â Â Â Â Â Â = 12

Therefore,

Solution 2

Your data is (12,8,6,12,16,12) for median and mode you take the least to greatest. Median = Middle So you take the Middle number your data table should look like this: (6,8,(12,+12),12,16) so the median is 12+12/How many numbers that are in the middle so you get the number 12.

For the mode just Think Mode is Most Whatever number that is the most inÂ the DataÂ (6,8,12,12,12,16) so 12 is the mode for the answer. and 12 is the median. Hope this Helps

For the mode just Think Mode is Most Whatever number that is the most inÂ the DataÂ (6,8,12,12,12,16) so 12 is the mode for the answer. and 12 is the median. Hope this Helps

Question

20 divided by X is 100, what does X equal?

Solution 1

20/ X= 100

â‡’ X= 20/100 (inverse operation)

â‡’ X= 1/5

**Final answer: X= 1/5**

â‡’ X= 20/100 (inverse operation)

â‡’ X= 1/5

Question

The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3%, each year. Which expression gives the population 7 years from now?

Solution 1

The expression would be:Â 9900(1.023)^7

This is an example of an exponential equation. They are in the form y = ab^x. A is the starting value and b is the rate of change.

The rate is 1.023 because we are adding on 2.3% each time.

This is an example of an exponential equation. They are in the form y = ab^x. A is the starting value and b is the rate of change.

The rate is 1.023 because we are adding on 2.3% each time.

Solution 2

**Answer:**

the answer above but the exponent is 5

**Step-by-step explanation:**

Question

11499 round to the nearest thousand

Solution 1

You forgot to put the decimal in there so i could round itÂ

Solution 2

The answer would be 11000.

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