Sharon is building bookshelves for her room.She bought a board that is 10 1/2 feet long.If she cuts the board in three equal pieces, how long will each shelf be?

Answers

Answer 1

Each shelf would be 3 1/2 inches

Answer 2

Hey there!

To solve this you divide 10 1/2 by 3:

10 1/2 = 21/2
3 = 3/1

21 x 1 = 21
2 x 3 = 6

21/6 is the answer, but when we simplify it we get 3 1/2 as our final answer.

Each shelf will be 3 1/2 feet long.

Hope this helps you.
Have a great day!

Related Questions

A fruit salad consists of blueberries, raspberries, grapes, and cherries. The fruit salad has a total of 280 pieces of fruit. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?

Answers

Let no of blueberries be x
2 x bluberries = total raspberries
So raspberries = 2x
Cherries= 4 x raspberries so
Cherries = 8 x
Grapes = 3x cherries so
Grapes = 24x

Total fruit is equal to
X+2x+24x+8x=280
35x=280
Therefore X= 280/35=8

No of cherries in the salad
=8x
=8(8)
=64 cherries in total

Hope this helped and sorry I used shortcuts
Hope u understand

Final answer:

The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.

Explanation:

Solving the Fruit Salad Problem

Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:

x + 4x + 8x + 3x = 280

Adding all terms on the left side of the equation gives:

16x = 280

Dividing both sides by 16 to find the value of x gives:

x = 280 / 16

x = 17.5

Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.

Use the drawing tool(s) to form the correct answer on the provided grid.

Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

Graph the function that represents this situation.

Answers

She is starting at 4000, so that is the y-intercept of the graph. She is descending at 40 feet per minute, so her rate of change or slope is -40. The graph would look like this:

Answer:

See attachment

Step-by-step explanation:

Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

We have to Graph the function that represents the given situation.

Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)

Since initially, Jennifer is at 4000 feet.

and is descending with an average speed of 40 feet per minute.

So when she begins to descend she is at 4000 feet that is y- intercept is 4000.

Then, the equation of graph is given by

y = -40x + 4000

As she is descending at the rate of 40 feet per minute so -40x

Thus, The graph for the given equation can be drawn as shown below.

also, when x = 100

then y = -40(100) - 4000 = 0

Plot points (0, 4000) , (100,0) to obtain the graph.

Which describes the inverse operations used after the distributive property

Answers

The correct answer is subtraction, then division.

Hope this helps =)

Answer:

subtraction then division on edge

Step-by-step explanation:

Simplify 24/2^2+6 plz

Answers

the answer would be 30

If it is (24/2)^2 + 6:

24/2 = 12

12^2 = 144

144 + 6 = 150 would be your answer

If it is 24/(2²) + 6

(2²) = 4

24/4 = 6

6 + 6 = 12
12 would be your answer

hope this helps

Help me a,b,c,d please give me the right answers

Answers

The right answer is the first one. d is the distance that Laura walked, therefor d+7 is the distance that Luke walked since he walked 7 more miles than Laura. If add both of their distances together you get 23, therefore the equation is “d+d+7=23”

students at a cooking school made a super sized rectangular pizza for a class party Lupita cut the pizza into 3 equal pieces then she cut each piece into three equal parts two more times the pita needs 27 pieces of pizza does she have enough pieces yet explain how you know

Answers

you have one piece of pizza split in 3. after that she cuts them into 3 pieces 2 more times
[tex]3 \times 3 = 9 \times 3 = 27 \\ [/tex]

Final answer:

After dividing the pizza into 3 equal parts twice, Lupita has the exact number of pieces needed for the party, which is 27.

Explanation:

The student's question is about dividing a rectangular pizza into equal parts. Lupita cut the pizza into 3 equal pieces, then each piece into 3 equal parts two more times. To determine if Lupita has enough pieces for 27 people, we can use multiplication to find how many total pieces she has created. The math goes as follows:

First division: 1 pizza is cut into 3 pieces.

Second division: Each of the 3 pieces is cut into 3 pieces, resulting in 3 x 3 = 9 pieces.

Third division: Each of the 9 pieces is cut into 3 pieces, resulting in 9 x 3 = 27 pieces.

After the final division, there are 27 pieces of pizza. Therefore, Lupita has enough pieces for the party as the required number of pieces is also 27.

Help on 37? Thank you!

Answers

So if the total is 72

We have to get the denominator of both fractions to be the same so let’s do

3/8 = 18/48
1/6 = 8/48

So if the total is 72 we need to do

18/48 = ?/72

Than cross multiply and let’s change ? into x

48x=1,296

Than divide both sides by 48 to solve for x

x=27

So Paquito scored 27 points

Nows let’s find Jeff’s total points by doing

8/48 = ?/72

Cross multiply once more and change ? To y this time

48y=576

And now divide both sides by 48 to get y

y=12

So Jeff scored 12 points

But that isn’t what the question is asking it’s asking how many did they score together so now all we have to do is

27+12=39

The total amount of points scored by Jeff and Paquito together was 39

Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i

Answers

I remember dis, yey

so if a polynomial has roots [tex]r_1[/tex], [tex]r_2[/tex], [tex]r_3[/tex], it can be factored into
[tex]f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d[/tex] where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root

so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
[tex]P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))[/tex] which simplifies to
[tex]P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)[/tex] which expands to
[tex]P(x)=x^4-22x^3+186x^2-1768x+5248[/tex]

Yvette earned $66.00 for 8 hours of work. Lizbeth earned $68.80 working the same amount of time. How much more per hour did Lizebeth earn than Yvette

Answers

Lizbeth earns $0.35 more per hour.

66 / 8 = 8.25
68.8 / 8 = 8.6

8.6 - 8.25 = 0.35

Yvette:
66/8
=$8.25 per hour

Lizbeth :
= 68.80/8
= $8.60

$8.60-$8.25
=$0.35

Movies are on sale for 1414 the original price. If the original price is $20, which expression gives the sale price?

Answers

Answer:

I'm answering super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Your welcome :D

Jill earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 52 hours this week and earned $638. What is her hourly rate?

Answers

This equation can be set up letting x be the hourly rate:40x+1.5x(52-40)=638 [40 times the rate, plus 1.5 times the rate for the hours over 40 equals the pay]40x+78x-60x=63858x=638x=11 hourly rate is $11/hr

11 dollars an hour.

A teacher has a bag of 100 unit cubes. She gives an equal number of cubes to each of the 7 groups in her class. She gives each group as many cubes as she can. How many unit cubes are left over??

Answers

100 divided by 7 is 14 .
7 • 14 = 98
100-2 , she is left w a remaining of 2 unit cubes . meanwhile each table receives 14 marbles each .

believe this is right

You bought the new fish tank shown. Before you can buy fish, you have to get the tank ready. The dimensions of the tank are 24 inches by 12 inches by 16 inches. What is the largest volume of water it can hold?

Answers

the answer is 4608.....

I don’t think this is correct but I got an area of 21.Can anyone help me or correct me on my error??

Answers

Cut the figure into 2 parts, like you already have here.
There are now two parts with the dimensions of 3 x 3 and 2 x 9.
Multiply 3 x 3. That is 9.
Multiply 9 x 2. That is 18.
Add together 18 and 9. That is 27.
The answer is B, 27 in².
Hope this helps!

solve the equation, justify each step with an algebraic property 62= 5 + x

Answers

Final answer:

The solution to the equation 62 = 5 + x is x = 57. This is found by subtracting 5 from both sides of the equation and checking the solution by substitution.

Explanation:

To solve the equation 62 = 5 + x, we will follow algebraic properties to isolate the variable x.

Start with the equation 62 = 5 + x.Apply the Subtraction Property of Equality by subtracting 5 from both sides of the equation to eliminate terms: 62 - 5 = 5 - 5 + x, which simplifies to 57 = x.Thus, x = 57.To check the answer, substitute x = 57 back into the original equation: 5 + 57 = 62, which is true.

Therefore, the solution to the equation is x = 57, and after checking, it is reasonable.

Miranda made a drink that contains 2 pints of apple juice and 3 pints of grapes juice and 2 pints of cranberry juice
How many pints of juice did Miranda make

Answers

7 pints of juice ( i need more words so it sends this)

Miranda make seven pintos of juice

The smaller of two numbers is 2 less than 3/4 the larger. The sum of the two numbers is 47. Find the value of the numbers.

Answers

x = 47 - 28 = 19 .......

Final answer:

The two numbers in question are found by setting up a system of linear equations. The larger number is 39.2, and the smaller number is 27.4, found through substitution and simplification of equations representing their relationship and their sum.

Explanation:

The question involves solving a system of linear equations. Given the smaller number is 2 less than 3/4 the larger number, and the sum of the two numbers is 47, we can set up the following equations where x represents the larger number and y represents the smaller number:

y = ¾ x - 2

x + y = 47

We can substitute equation (1) into equation (2) which gives us x + (¾ x - 2) = 47. Solving for x gives us the larger number, and then y can be determined using either equation (1) or (2).

Following these steps:

x + (¾ x - 2) = 47

1¾ x - 2 = 47

1¾ x = 49

x = 49 / (5/4)

x = 49 * (4/5)

x = 39.2 (larger number)

y = ¾ * 39.2 - 2

y = 29.4 - 2

y = 27.4 (smaller number)

Thus, the two numbers are 39.2 and 27.4.

Determine the unknown side length of the golden rectangle with the given side length. s = ____ l = 9 a. 5.56 c. 4.94 b. 4.85

Answers

Answer: option a. 5.46

Explanation:

The side lengths of the golden rectangle are in the proportion:

          1
--------------------
golden number

The golden numbrer is:

1 + √5
-----------
     2

So, the ratio is:

       1
--------------
   1 + √5
   ---------
       2

And, using the properties of the division of fractions, that is equivalent to:

      2
-------------
1 + √5

So, since you have thhe given side = 9, you can set the proportion, to find the unknown lenght, s:

    2               s
--------- =   ---------
1 + √5          9

And you can solve for s:

s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.

Which is the option a. 5.56

a number tripled and tripled again is 729.what is the number

Answers

3(3n) = 729
9n = 729n = 81

Oliver works at a book store.He packed 20 identical paperbacks and 9 identical textbooks in a box .The total mass of the book was 44.4 pounds . After he put 1 more textbook and 5 more paperbacks in the box,the total mass of the books was 51 pounds.

Answers

Let x be the mass of the paperbacks and y be the mass of the textbook.

20x + 9y = 44.4 ----------- (1)
25x + 10y = 51 -------------(2)

(1) x 10:
200x + 90y = 444 --------(1a)

(2) x 9:
225x + 90y = 459 --------(2a)

(2a) - (1a):
25x = 15
x = 0.6 -------- sub into (1)

20 (0.6) + 9y = 44.4
12 + 9y = 44.4
9y = 44.4 - 12
9y = 32.4
y = 3.6

So the paperback's mass is 0.6 pounds and textbook is 3.6 pounds

How do you do this? Could someone explain?

Answers

The question is asking the lateral surface area of a cylinder with radius 3 in and length 12 in.

A = 2πr*l
.. = 2π*(3 in)*(12 in)
.. = 72π in^2
.. ≈ 226 in^2 . . . . . . . . . . matches selection a)

Gemma's soup recipe is shown in the table above. What Is the ratio of chicken stock to mixed vegetable? Express the ratio as a fraction in simplest form and as a decimal.

Answers

There is no table. Upload the table and I will help

The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? (An explanation would be helpful!)

Answers

3.3 miles should be the answer
10 = 2.40 + .2x    - take 2.4 from both sides
7.6 = .2x    - take 2 from 7.6 for the tip
5.6 = .2x    - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles

Answer:

I can ride 3.3 miles in $10.

Step-by-step explanation:

Let i can ride x miles in $10.

So for first 0.5 miles I have paid = $2.4

The for remaining ride of (x - 0.5) payment done = $[tex]\frac{0.20}{0.1}\times (x-0.5)=2(x - 0.5)[/tex]

I gave the tip = $2

Total payment I have done for the ride = $10

So equation will be

2.4 + 2(x - 0.5) + 2 = 10

4.4 + 2x - 1 = 10

3.4 + 2x = 10

2x = 10 - 3.4

2x = 6.6

x = [tex]\frac{6.6}{2}=3.3[/tex]

Therefore, i can ride 3.3 miles in $10.

I need some help with 22, 24, 25

Answers

22 increases by 0.9
24 increases by 4 and 1/2
25 increases by 4.3
Just subtract the number from the number after it to find how to find the next numbers in the sequence

22) each number adds .9

next two numbers: 5.9 , 6.8

24) each number adds 4.5

the missing number is 11 1/2

25) each number adds 4.7

the missing number is 19.3

which is not a point of concurrency in a triangle?

Answers

Altitude not a point of concurrency in a triangle.

what is point of concurrency?

The circumcenter of a triangle is the point at which its three perpendicular bisectors coincide. It is the center of the circle that is equidistant from all three of the triangle's vertices and is circumscribed around the triangle.

As, we know

Any location where three or more lines converge is known as a point of concurrency. The centroids, orthocenters, circumcenters, and incenters are the four points of concurrency that are shared. The intersection of a triangle's three medians is known as the centroid.

So, according to that Altitude not a point of concurrency in a triangle.

Learn more about point in concurrency here:

https://brainly.com/question/7165324

#SPJ5

Directions: Determine whether the given value of the variable is a solution of the inequality.

Answers

2) 4 is not a solution.
3) -1 is not a solution.
4) 0 is a solution.
5) 0.23 is not a solution.
6) 2/3 is a solution.

Julian wants to spend NO MORE than $1,250 on his trip. The airfare is $358. Write & solve an inequality to find the maximum amount he can spend on the rest of his trip.

Answers

x = rest of the money

X has to be less than or equal to $892 because you have to subtract $358 from the total budget which is $1250

Amount of money Julian can spend on trip= $1250

Amount spent on airfare = $358

Money left for trip = Total money - money spent on airfare= 1250 - 358= $892

So writing an inquality ,

[tex] x\leq 1250-358 [/tex]

where x is amount he can spend on trip.

Solving the inequality,

[tex] x\leq 892 [/tex]

So he can spend less than or equal to $892 on the trip.

How do I begin to solve this

Answers

Neck and legs because 2/3 goes into 1/2 and 1/3

The answer is C.

First, you need to identify what items happen before 2/3 of an hour by seeing which decimals are equal to 2/3.

We know she will stretch her legs, because 1/3 times two is 2/3, it lines up just right. We also know she will stretch her arms, because 1/6 times four is 4/6, which can be reduced to 2/3.

She cannot stretch her neck, because 1/2 will not come out to 2/3 no matter how you multiply it.

Good luck!

Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, i'll triple your money. There's one small thing though. Each time I pay, you must give me $54 back for the priviledge of jumping." Josh agreed, jumped the fence, received his payment from sam slick, and paid sam $54. Repeating the routine 1 more time, josh was distressed to find that after sam had made his payment to josh, josh had only $54 with which to pay sam and so had nothing left. Sam, of course, went merrily on his way, leaving josh wishing that he had known a little more about mathematics.

Answers

We can see here that according to the agreement, each time Josh jumped the fence, his money would be tripled. Thus, Josh had to pay Sam $54 back for the privilege of jumping.

Josh jumped the fence for the first time. Sam Slick paid Josh the agreed-upon amount, which was triple the initial money Josh had. Then Josh paid Sam $54 back as per the agreement.

We see that Josh jumped the fence for the second time. Sam Slick paid Josh the agreed-upon amount, which was triple the money Josh had after paying Sam $54. After Josh received the payment, he had only $54 left, which was exactly the amount he needed to pay Sam.

Explain how you know that 21/30 is greater than 2/3?

Answers

Hello,

One way to do this is to convert the fraction 2/3 into 20/30 by multiplying it by ten.

Then, it is clear to see that 21/30 is more than only 20/30.

Good question,
MrEQ

It’s not greater it’s less for example 21/30 needs 9 more to equal 1 whole and 2/3 needs 1 to make one whole making it greater than 21/30

Other Questions

Choose all of the true statements. Nevada means "snow-covered." Today, the Alamo is a town in San Antonio, Texas. Montaa means "mountain." Colorado means "mountain." Moscow dealt severely with the breakaway republic of chechnya in the 1990s and 2000s because Brett is making a fruit salad. The recipe calls for 112 cups of apple, 34 cup of oranges, and 23 cup of grapes. How many cups of fruit salad will Bretts recipe make Which of these represents an informal writing style?A.This letter is to inform you that you have been accepted at Bryce School of Music.B.The use of technology is vital to the success of the students of Stoneybrook High School.C.What is the deal with making everybody stay after school on Fridays to clean out the junk in the locker rooms?D.I am writing in regard to the lack of sufficient lighting near the rear exit of Evans City Park. Grace would like to open a checking account. She needs to decide which bank is better for her. Grace should _____. select the bank that is closer to her house write her short term goals call the banks use the PACED decision-making process to help her decide 45 minus 4.5. Show work plzzzz need help Which of these is not an environmental effect of farming?increased air temperatures habitat loss soil erosion poisoned wildlife from pesticides What was the main reason why the great depression was felt so financially in europe, even before the actual stock market crash of 1929?a.the financial cost of building up the military to defeat hitler.b.too many nations were spending and investing money in the united states.c.the financial cost of world war i left many nations with no money and high unemployment.d.too many industries moved to the united states after world war i and never returned to europe? Which adaptation is unique to insects among all protostomes? Earth is the third planet from the Sun. This placement most affects Earth's unique ____ and ____ conditions.1. a. temperatureb. differentiationc. gravityd. moon2. a. lithosphericb. mantlec. cored. atmospheric State the genotypic and phenotypic ratios that would result from a cross between two YyRR pea plants 100 children attended a play on the trip 0.6 were girls. Which fraction represents the number of boys on the trip Eleven is decreased by twice a number. Represent this statement using an algebraic expression. 1. 11x-22. 2x+113. 11-2x4. 2x-11 The equation y = 8.1x models the relationship between the number of hours Alexander works, x, and the dollar amount he earns, y. Which is the graph of the equation y = 8.1x? Image for option 1 Image for option 2 Image for option 3 Andrew is given a weekly allowance of $17.50 he uses $4.50 for lunch on Monday what amount at the most can he spend each day if he wants to spend the same amount each of the remaining 4 days write an inequality and solve All of the following animals are typically found in Oklahomas forests, except __________.A.raccoonsB.deerC.opossumsD.coyotes Which of the following was not a result of the industrial revolution in Europe The group that has benefited most by welfare reform is employers. a. True b. False Which of the following is the best example of a reason to seek emergency medical help for someone who experiences vomiting? A.The person vomits when she has been exposed to a virus at school. B.The person vomits frequently. C.The person is worried about losing weight. D.The person is embarrassed after vomiting once. How did china and Chinese life change during the Ming and Qing dynasties?