Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.86 sentimeters tall. He measured it again with an inch ruler. The shelf is 9 inches tall.

PART A - Wrte an equatioon you could use to find the number of centimeters in 1 inch.

PART B - Solve the equation you wrote in PART A. Show your work.

PART C - The top shelf of Natheniel's bookcase is 12 inches tall. How many centimeters tall is the top shelf?

Answers

Answer 1

PART A - So the ruler is 22.86 centimeters tall, and after measuring with an inch ruler, is also 9 inches tall.
ruler = 22.86cm
ruler = 9 in
You can equate 22.86cm and 9in because they both equal the length of the ruler (transitive property).
22.86cm = 9in
Then you can write a proportionality equation.
[tex] \frac{22.86cm}{9in} = \frac{x}{1in} \\ [/tex]

Part B -
Cross multiplying,
[tex](9in)x = (22.86cm)1 \\ x = \frac{22.86cm}{9in}= 2.54cm/in[/tex]

Part C - We can use something called dimensional analysis - multiplying 12 cm by (1in/2.54cm) - in order to change the units from inches to cm. This is possible because 1in = 2.54cm, the fraction 1in/2.54cm = 1. And also the units cm will cancel out.
[tex] \frac{12cm}{1} * \frac{1in}{2.54cm} = 4.72in[/tex]

Related Questions

Thirty-one is three more than twice a number divided by three

Answers

The answer is 22.6666667, hope this helps. You do this problem but backwards.

Hey can someone check my answer?
85 is 40% of what number?
A) 212.5 (My Answer)
B) 47.1
C) 34
D) 45

Answers

The answer is C. 34. I hope this helps

The correct answer is A 212.5

The four digit 489A is divisible by 11.
What digit does A represent?

Answers

It is 5! Hope I can help! :)

3.25 meters to 2.95 meters

Answers

3.25 - 2.95 = 0.3

The difference between 3.25 and 2.95 metres is 0.3 metres.

Bernese is participating in a walk for charity. She knows she can walk 3 miles in 45 minutes. At that rate, how long will it take Bernese to walk 24 miles?

Answers

360 minutes. If you divide 3 from 45, you'll get 15. Multiply 24 from 15 and you'll get your answer:)

I hope this helps you

What is the value of x?
x/48 = 12/32

Answers

To solve for the value of X, first reduce 12/32 into lowest terms = 6/16 = 3/8.

X/48 = 3/8
3 • 6/8 • 6 = 18/48
X = 18.

well the answer to your question is real easy you just have to simplify twelve over thirty two and see if you can find out what equals to that. I found out the x would equal 18. If you want proof look on solution.com

5 people each eat 2000 calories per day. What is the total number of calories they will eat in 6 days?

A.10,000
B.12,000
C.30,000
D.60,000

Answers

B. 12,000.
You can easily solve this problem by multiplying the number of calories they get by eating by the days.
So, 2,000 multiplied by 6 is 12,000.

5×2000=10000 which is the amount per day
Then 10000×6=60000
So your answer is D

Equation: (y+12)/(-4)=5
What is y?

Answers

the answer is y= -32

Y= -32
Here's the answer!!!

In an orchestra there are 42 with Woodwind players to 56 brass players what is the ratio of woodwinds to brass written as a fraction in simplest form

Answers

3/4 is the ratio of woodwinds to to brass players

Find the unit rate for each of the packages. Compare the unit rates. Which is the best price per bagel? A. 1 bagel for $0.79 B. 3 bagels for $2 C. 6 bagels for $4.20 D. 12 bagels for $9

Answers

1st Bagel; $0.79. 2nd Bagel; $0.67. 3rd Bagel; $0.70. 4th Bagel; $0.75. So B would be the correct answer, given 67¢ is cheaper ;)))))))

Answer:

Step-by-step explanation:

Elisa won 40 lollipops playing basketball at the school fair. She gave 2 to every student in her math class. she has at least 7 lollipops left. What is the maximum amount of students in her class?

Answers

40/2=20 half is as many their is if she has lest of seven round to the highest num because they are all even numbers

1.14 divided by 0.76

Answers

The answer is 1.5 :)

the answer is 1.5 if you take 1.14 and divide .76 by it you will get 1.5

A book regularly sells for 28. If the is on sale for 20% off how much is the sales price of the book

Answers

5.60 dollars bc you have 100 percent of it

100-20=80
28*80%=22.4

$22.4 would be the answer.

How many fluid ounces are in 3 pints?

Answers

there are 16 ounces in one pint. You multiply 16 by three, and you get 48 fluid ounces.

48 because there 16 fl oz in one so 16×3 is 48

In a power,what is a number used as a factor

Answers

the power (exponet) tell you how many times you need to multiply the same number its attatched to. example 5 squared is 5x5 (to the power of two)
5 cubed is 5×5×5 (to the power of three)

In a power, the number used as a factor is called the base.

A power is an expression that represents repeated multiplication of the base by itself. It consists of a base raised to an exponent.

The base is the number that is being multiplied, and the exponent represents the number of times the base is multiplied by itself.

For example, in the expression 2³, the base is 2. It indicates that 2 is being multiplied by itself 3 times.

So, in a power, the base is the number used as a factor.

Learn more about exponents and power here:

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write a decimal expression that has the same value as 2.5 divided .5-1.4

Answers

Final answer:

To find the decimal expression that has the same value as 2.5 divided by 0.5 minus 1.4, divide 2.5 by 0.5 to get 5, then subtract 1.4 to get 3.6.

Explanation:

To write a decimal expression that has the same value as 2.5 divided by 0.5 minus 1.4, we need to perform the division first and then subtract 1.4. Let's calculate it step-by-step:

Calculate 2.5 divided by 0.5: 2.5 / 0.5 = 5 Subtract 1.4 from the result: 5 - 1.4 = 3.6

Therefore, the decimal expression that has the same value as 2.5 divided by 0.5 minus 1.4 is 3.6.

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Answer the 2 pictures please and thank you (":

Answers

7/9 is 0.78 so .85 is greater so the day she sold the most boxes is Tuesday.

instead of using the distributive property to expand 0.25 x (16.60a + 12.20y) could you have first found the sum 16.60a +12.20y explain

Answers

nahh hhh bro
what is 16.6a+12.2y.... they not like terms bruhh
if u had a and y then yaaaaaaaaaas

Answer:

Distributive property is the same as product of sum

0.25 (16.6 a + 12.2 y) = 0.25 × 16.6a + 0.25 × 12.2y = 0.25 [16.6 a + 12.2 y]

What is the slope of the line whose equation is –48 = 2x − 8y?

convert in to a fraction

I need it done now

Answers

We need to isolate y,, –48 = 2x − 8y,, –48-2x = -8y,, -8y = -2x - 48,, y = (-2x - 48)/(-8),, y = (-2x)/(-8) - 48/(-8),, y = (1/4)x + 6,, The last equation above is in the form y = mx+b where m = 1/4 is the slope

A store sells 3 ears of corn for $1 they round prices to the nearest cent.Tell whether you would describe the relationship between cost and number of ears of corn as proportional relationship justify your answer

Answers

Final answer:

The relationship between the number of ears of corn and cost is proportional because for every set of 3 ears of corn bought, the cost is a consistent $1, which maintains a constant ratio.

Explanation:

A store sells 3 ears of corn for $1, and they round prices to the nearest cent. We need to determine if this represents a proportional relationship between the cost and the number of ears of corn. A proportional relationship means that the ratio between two quantities is constant. Here, for every 3 ears of corn, the cost is $1. If we buy 6 ears of corn, the cost would be $2, and so on. This pattern indicates that the relationship is proportional because the ratio of corn to dollars is always 1:3 or $0.33 per ear of corn, rounded to the nearest cent.

PLEASE ANSWER ASAP AND SHOW WORK!! A long distance phone company charges $0.027 per minute and a $2 monthly fee. Another long distance phone company charges $0.035 per minute with no monthly fee. Find the number of minutes for which the charges for both companies would be the same.

Answers

0.027x+2=0.035y

250 minutes.

Work:
0.027 x 250 + 2.00 = 8.75 0.035 x 250 = 8.75

A trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts, and 2 cups of cashews. Which ingredients are in the same ratio as cashews to raisins

Answers

3 cups of dates and 6 cups of peanuts (3:6)

If you simplify 2:4, you get 1:2. 1 times 3 is 3 and 2 times 3 is 6. Theres your answer, I hope it helped!

FIND THE PERCENT ERROR.

Each week, Mr. Jones goes to the grocery store. Mr. Jones estimates that he will spend $120 when he goes to the grocery store this week. He actually spends 94$

Answers

he was 26 percent off

Answer:

Step-by-step explanation:

Percent Error = [tex]\frac{(given - actual)}{actual} (100)[/tex]

1. [tex]\frac{(120-94)}{94} (100)[/tex]

2. [tex]\frac{26}{94} (100)[/tex]

3. (0.28)(100)

Percent Error = 28%

My school is planning a field trip and over and buses and vans for the trip each bus carries up to 60 students requires for chaperones and cost $1000 to charter a bank turns up to 10 students requires two chaperones and cost $100 for gas at least 300 students plan to attend and 36 parents offered to chaperone find the number vans and buses the school should rent to minimize the cost

Answers

there should end up being 5 buses

what are two linear expressions with a sum of -5x+4

Answers

(-3x+1)+(-2x+3) is one example

Help on both please ! Im a new student at this school and didn't learn this

Answers

For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3

Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check

The town conservation manager bought 16 maple tree for 26 each she paid with five$100 bills. How much change will the manager recive?

Answers

26x16=416
500-416=$84

do 26 times sixteen then whats left is your answer

Michelle bought 2 tickets to a zoo. After she bought the tickets, her account balance showed a change of −$33.04. What would have been the change to Michelle's account balance had she bought only 1 ticket to the zoo?

Answers

So we know that, when Michelle bought the tickets, the account decreased by $33.04.
2t = 33.04
1t = 16.52 ANS

Answer:

-$16.52

Step-by-step explanation:

I did this test and got 100% percent

a factory can make 2,418 footballs in 1 week. How many can it make in 9 weeks

Answers

2418 * 9 = 21,762

hope it helps

Consider each set of ratios. Are all of the ratios equivalent? ( ) = bubble in circle
Select Yes of No for the sets of ratios in A-C.

A. 2/3, 6/9, 18/24 Yes ( ) No ( )

B. 4/20, 5/25, 6/30 Yes ( ) No ( )

C. 12 : 20,30 : 50, 75 : 125 Yes ( ) No ( )

Answers

A- Yes B-No C- No

You should be good, double check in case I just did a quick glance .

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