A rectangular bin has a perimeter of 42 inches. The length of the bin is twice the width. Write and solve an equation to determine the length, in inches, of the bin. Then find the area, in square inches, of the bin.

Answers

Answer 1
So imagine a rectangle. The perimeter of a rectangle is 2w + 2l = perimeter. Because perimeter is the sides added up. It says the length is 2 times the width so use 2w. the width would just be w. Now add up the sides. 2w+2w+w+w which equals 6w. It states that the perimeter is 42 so now set 6w equal to 42 and solve for w. W would be 7 and that is the width. The length is 2(7) so length is 14 inches. Area would be 7 x 14 because area is length times width and so the area is 98 square units.

Related Questions

1 x 7 - 13 x 56 divided by 7 -5 x 500 is what?

Answers

Answer:  -2597

Step-by-step explanation: First, you multiply 1 x 7 to get 7, then subtract 13 from that, and multiply that by 56. Then you find what 7 -5 x 500 is, and divide it by the first part you got, to ger -2597. I'm sorry If I'm wrong .

Answer:

-2597

Step-by-step explanation:

Using PEMDAS, M would be multiplying so you you multiy 1x7 then times 56 then S is for subtraction so then you subtract 13, save that first set (1x7-13x56) to the side and now lets do the other set (7-5x500) first you would multiply it by the 500 and you get 3,500 then subtract it now get your two answers and divide it, then youll get -2597

Write the expression:
subtract 10 from r, then double the result

Answers

Answer: (q + 10) - r

Step-by-step explanation:

the expression will be:
2(r-10)


Help I need to know?

Answers

Answer:

Step-by-step explanation:

im lost

please someone help

The frequency table shows how many visits to the library students in a school have made in the last month.

Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23

Work out the mean.
Give your answer rounded to 1 DP.

Answers

136. 8 is the correct answer
It’s 136.8 not sure but I’m pretty sure it is good luck tho

Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

100

35/42 is about 83 percent 83 percent of 120 is roughly 100

The answer is 100 females

How is the domain of a function related to the numbers in the sequence?
How is the range of the function related to the numbers in the sequence?

Answers

Answer:

A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers. We usually use the symbol an to represent a sequence, where n is a natural number and an is the value of the function on n.

3 plus 4 times a number is 5 times the number. What is the number?

Answers

X = 3
Because first the “ number” is X so then the problem would be turned into 3 + 4x = 5x and you need to get all the numbers on one side and the X’s on the other side

Answer:

The num is three

Step-by-step explanation:

4 x 3 = 12

12 + 3 = 15

15 = 5 x 3

Answer fast please thank you?

Answers

Answer:

its 4-6

Step-by-step explanation:

What is the answer to this?helppp

Answers

Answer: 6

Step-by-step explanation:

divde 5 by 2 them multiply your exponet

Answer:8/125

Step-by-step explanation:

Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.

Answers

The linear function that represents the amount of baskets in the xth month of the year is given as follows:

The percentage of her collection that she needs to get rid of is of 3.85%.

Linear Function:-

The definition of a linear function is:

y = b + mx

In which the parameters of the equation are given as follows:

•b is the value of y when x=0

•m is the rate of change for each unit of x

Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2

Then: y = b + 2x

From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:

60 = b + 6

b = 54

Hence the equation is: y = 54 + 2x

At the end of the year (12 months) the amount of baskets that she will have is of:

y = 54 + 2 × 12 = 78

Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:

p = 3/78 × 100% = 3.85%.

Answer:

Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:

The percentage of her collection that she needs to get rid of is of 3.85%.

The definition of a linear function is:

y = b + mx

In which the parameters of the equation are given as follows:

•b is the value of y when x=0

•m is the rate of change for each unit of x

Every month she adds 2 new baskets to her collection, hence the slope is: m = 2

Then: y = b + 2x

From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:

60 = b + 6

b = 54

Hence the equation is: y = 54 + 2x

At the end of the year (12 months) the number of baskets that she will have is:

y = 54 + 2 × 12 = 78

Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:

p = 3/78 × 100% = 3.85%.

Joseph was kayaking on the Hudson River. While looking at the Breakneck Ridge trail-head, he lost a whole bag of donuts. Joseph didn't realize he had lost it for fifteen minutes. That's when he turned back and started going in the opposite direction. When he found the bag, which was going at the speed of the Hudson's current, it was two miles from the Breakneck Ridge trail-head. What is the speed of the current in the Hudson River?

Answers

Answer:

8 miles per hour

Step-by-step explanation:

Actually pretty simple. It took 15 minutes for the bag to travel two miles from the Breakneck Ridge so it will be four miles per 30 minutes six miles per 45 minutes and 8 miles per hour.

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

Answers

Answer:
14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday.
Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2)= 76
4x+ 2x + 4 = 76
6x=72
x = 12
Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x
+ 2. Thus, that is 12 + 2 = 14 hours.

I need help with my math questions!I added an attachment.

Answers

Answer:

Answers below

Step-by-step explanation:

B. is [tex]1 \frac{2}{5} *3=4 \frac{1}{5}[/tex]

C. 75 -:- 2[tex]\frac{1}{5}= 30[/tex]

D. 27-:-6=4.5(or 4 and 1/2)

7-4x=2+x+6-5x how many solutions

Answers

Answer:

Step-by-step explanation:

There is one solution to the equation 7-4x=2+x+6-5x. Solving for x gives x = 1, so there is only one solution.

The answer to this question is “one solution”

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

Answers

Sam’s Soup is open 14 hours on Sunday.
Answer. Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.

What is the vertical distance between point A(−1.5,1.25) and point B(−1.5,−0.75) ?

Answers

Answer:

Step-by-step explanation:

Input Data :

Point 1

(

x

A

,

y

A

)

= (-1.5, 1.25)

Point 2

(

x

B

,

y

B

)

= (-1.5, -0.75)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =

(

x

B

x

A

)

2

+

(

y

B

y

A

)

2

Solution :

Distance between two points =

(

1.5

1.5

)

2

+

(

0.75

1.25

)

2

=

0

2

+

(

2

)

2

=

0

+

4

=

4

= 2

Distance between points (-1.5, 1.25) and (-1.5, -0.75) is 2

The vertical distance between the points A and B are D = 2 units

What is the distance between two points?

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be A ( -1.5 , 1.25 )

Let the second point be B ( -1.5 , -0.75 )

The distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

And , the vertical distance between A and B = |y-coordinate of A - y-coordinate of B|

So , the value of D = |1.25 - (-0.75)|

D = 2 units

Hence , the vertical distance is D = 2 units

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Alyson is restocking her pantry. She buys 4 kinds of canned soup: tomato (T), mushroom (M), vegetable (V), and chicken noodle (N). She also buys garlic croutons (G) and cheese croutons (C) to pair with the soups. Which TWO statements are TRUE for this situation?

A.{ T, M, V, N, G, C} is the sample space.
B.{TG, TC, MG, MC, VG, VC, NG, NC} is the sample space.
C.There are 8 serving combinations.
D.{T, M, V, N} is the sample space.
E.There are 6 serving combinations.

Answers

Answer:

A and D would be your 2 sample spaces

Step-by-step explanation: because we can see its clearly not C or E so that leaves us with A , B, and D. I belive that B isnt a asnswer choice so that leaves A, and D

mark me brainless please it helps me

hope this helps

I would say A and D

There is no way that E and C are the answer. B is a no because TG…? What does TG mean? Some of the letters in choice B doesn’t make sense to me.

Answer please I don't know this?

Answers

Answer:

Its the second one

Step-by-step explanation:

It’s the Second one (0-25,25-50,50-75,75-100)

pleace is math of 8th

Answers

Answer:

The length of 83,800,000 in scientific notation is 8.38 x 10^7

Answer: 838 x 10^5

Step-by-step explanation: We first have to focus on the Zambezi which is 83,800,000 there are 5 zeros, but we have three options 8.38 x 10^7, 83.8 x 10^6, and finally 838 x 10^5, but scientific notation includes no decimals so it is 838 x 10^5.

PLEASE I NEED HELP ASAP!!!

SHOW ME HOW YOU GOT YOUR ANSWER

Answers

Basically 120 divided by 52 is 2.3 so he gets 2.3 hours a week
2.3 hours all you do is 120 divided by 52 and there is your answer.

Fernando spent $20 of his $50 weekly allowance on snacks. What percent of his weekly allowance did he spend snacks?

Answers

Answer:

is the answer of 50 and spend 20 you have 30 left

Answer:

40%

Step-by-step explanation:

A good way to remember how to do percentages is starting with 10% of overall.

Overall, 10% of the $50 would be $5
you just move the decimal from $50.00 to $5.00
moving it to the left once, for ten percent

theres $20 so thats the 10x2

20 goes into 100, 5 times ...

It just so happens in this scenario, its 20% just like the $20 ... doesnt always happen like this.

Evaluate.
[tex]3 \frac{1}{5}-(-\frac{7}{2})+(-1)[/tex]

Answers

Answer:

 57/10 or 5 7/10

Step-by-step explanation:

Simplify the following:

3 + 1/5 + 7/2 - 1

Put 3 + 1/5 + 7/2 - 1 over the common denominator 10. 3 + 1/5 + 7/2 - 1 = (10×3)/10 + 2/10 + (5×7)/10 - 10/10:

(10×3)/10 + 2/10 + (5×7)/10 - 10/10

10×3 = 30:

30/10 + 2/10 + (5×7)/10 - 10/10

5×7 = 35:

30/10 + 2/10 + 35/10 - 10/10

30/10 + 2/10 + 35/10 - 10/10 = (30 + 2 + 35 - 10)/10:

(30 + 2 + 35 - 10)/10

| 3 | 5

| 3 | 0

+ | | 2

| 6 | 7:

(67 - 10)/10

| 6 | 7

- | 1 | 0

| 5 | 7:

Answer:  57/10 or 5 7/10

So the answer would be 57/10

What is the slope of the graph?

Answers

Answer:2/3

Step-by-step explanation: the line is at the same distance at (-2,-10) as it is at (4,-6)

so from (-2,-10) to (4,-6) is 2 up and 3 over

meaning 2/3 = slope

The answer is 2/3 the person above me answers it well

the ratio of boys to girls in the 6th grade is 2:3 if there are 75 students, how many more girls are there than boys?
Show your work.

Answers

Answer:

2:3 = 75

so 25 girls are there in the class

Step-by-step explanation:

Divide. Express each answer as a decimal. In the space below, be sure to label your answers a, b, c, d.

a. 54

b. 45

c. 3012

d. 1230

Answers

Answer: this might be wrong

c

Step-by-step explanation:

Sorry if this is wrong

Answer: c

Step-by-step explanation:

7. Draw a circle around the expression which is greatest when n is a negative number?


A. n-2
B. 2n
C. n/2
D. 2/n​

Answers

Answer: n-2

Step-by-step explanation: anything with negative would be subtraction ( any variable anyway )

Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.

Pls find the answer winter break is almost ending

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...

The answer is 8 so its a direct proportion

I think...

The constant of Proportionality is 8.

What is constant of Proportionality?

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

Total Baseball Caps= 30

Total amount of Cap= $240

let the number of caps sold be c.

Then, the equation is

30 c= 240

and, c= 240/30

c= 8

Hence, the constant of Proportionality is 8.

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9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)

Answers

Answer:

(3/2 m)^2 -(5n)^2^

Step-by-step explanation:

Answer: 9m^2 / 4  -  25n^2

Step-by-step explanation:

Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.

guys can you help me please thank you

Answers

Answer:

A. On the x-axis

B. In Quadrant 2  

Step-by-step explanation:

Happy Holidays! I love your profile pic!

A! Explaining, Happy Holidays

Write the formula for the parabola that has x- intercepts (1.3,0) and (-1.3,0), and y- intercept (0,169).

Answers

Answer:

 The y intercept is (0,1.69) and not (0,169)

Step-by-step explanation:

substituting, y=-1(x+1.3)(x-1.three) observe that this is distinction of squares y=-[x2-(1.3)2] , y=-(x2-1.69), y=-x2+1.69

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