Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 in by 24in by 8in.
If Hardy fills the box completely, what is the greatest number of books that fit into the box?
If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Thank you in advance for the help! Just a mom who hates math trying to help her kid with volume.

Answers

Answer 1

Answer:

1. 192 books.  

2. 96 books.  

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³  

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.  

Greatest number of layers = Height of the box/Width of a book  

Greatest number of layers = 8/1 = 8  

Minimum number of layers = Height of the box/Height of a book  

Minimum number of layers = 8/4 = 2  

Upon saying that, we have:  

Number of books per layer = Greatest number of books/Minimum number of layers  

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8  

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

Answer 2

Final answer:

The greatest number of books Hardy can fit into the box is 192. With the least number of layers and the box completely filled, there would be 24 books on the bottom layer. And if there are 8 layers of books in the box, there would be 24 books in each layer.

Explanation:

Hardy is packing books into a box and wants to maximize the number of books while also considering different arrangements. The dimensions of each book are 4 inches by 6 inches by 1 inch, and the dimensions of the box are 24 inches by 24 inches by 8 inches. The volume of a book is 4in x 6in x 1in = 24in³, and the volume of the box is 24in x 24in x 8in = 4,608in³. Therefore, the greatest number of books that fit into the box is the volume of the box divided by the volume of one book, which gives us 4,608in³ / 24in³ = 192 books.

If Hardy fills the box completely with the least number of layers, he would place the books so that the largest book dimensions are aligned with the box's. This means laying the books down in layers where each layer measures 24in by 24in. Since each book has a 6-inch side, we can fit four books along the width of the box (24in / 6in = 4 books), and similarly, we can fit six books along the length of the box (24in / 4in = 6 books), resulting in 4 x 6 = 24 books on the bottom layer.

If Hardy fills the box completely with 8 layers of books, he is dividing the height of the box by the height of a book (8in / 1in = 8 layers). In this case, since there are 24 books per layer (as calculated previously), and there are 8 layers, it means there are still 24 books in each layer.


Related Questions

A population y of coyotes in a national park triples every 20 years. The function y = 15(3)^x
represents the population, where x is the number of 20 year periods.
a. Find and interpret the y-intercept.
b. How many coyotes are in the national park in 40 years?

Answers

Answer:

a. y int. = initial amount of coyotes

b. 135 coyotes

Step-by-step explanation:

a. when x = 0, you get y int. = 15 coyotes. This shows that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

y = 15 * (3)^2

y = 135 coyotes

a. y int. = initial amount of coyotes

b. 135 coyotes

The calculation is as follows:

a. when x = 0, you get y int. = 15 coyotes.

This represent that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

[tex]y = 15 \times (3)^2[/tex]

y = 135 coyotes

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what is 100-100-100-100-100-100-100-100-100-100-100-100



Answers

Answer:

-1000

Step-by-step explanation:

(100-100)-(100+100+100+100+100+100+100+100+100+100)=

=    0 - (100+100+100+100+100+100+100+100+100+100)

= -(100 + 100+100+100 + 100+100+100 + 100+100+100)

= -(100×10)

= - 1000

Answer:

-1000

Step-by-step explanation:

 In a survey of 3300 people who owned a certain type of​ car, 825 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer: 25%

Step-by-step explanation:

Since 825 people said they would buy the car again, it means they were satisfied with the car

Therefore, the percentage of those satisfied with the car is = (825/3300) x 100 = 25%

Speed, Time, and Dis
1 a. Noah rides his bike with a constant
speed of 18 km/h. How long will he
take to travel a distance of
54 kilometers?

Answers

Answer:

3 hours

Step-by-step explanation:

Recall:

Distance = speed x time

we are given that speed = 18 km/h and distance = 54 km.

hence,

54 = 18 x time   (divide both sides by 18 and rearrange)

time = 54/18 = 3 hours

Noah will take 3 hours to travel a distance of 54 kilometers at a constant speed of 18 km/h.

To determine how long Noah will take to travel a distance of 54 kilometers at a constant speed of 18 km/h, we can use the formula for time, which is:

Time = Distance / Speed

Let's calculate Noah's travel time:

Time = 54 km / 18 km/h = 3 hours

Noah will take 3 hours to cover the 54-kilometer distance on his bike.

Please help!!!!!!!!!!!!

Answers

Answer:

The fraction is: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Step-by-step explanation:

Given that the income is 66000 $ and the amount spent on taxes is 12600 $.

Therefore, the ratio of the amount of taxes and the income

[tex]$ = \frac{12600}{66000} $[/tex]

[tex]$ = \frac{126}{660} $[/tex]

Simplifying, we get: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Hence, the answer.

The height of a tree in feet, y, is modeled by the equation y = 2.5x + 3, where x represents
the age of the tree in years. How old will the tree be when it is 33 feet tall?

Answers

Answer:

85.5 feet tall

Step-by-step explanation:

2.5(33)+3

82.5+3

85.5

What is -5x-10=10 answer

Answers

Answer:

-4

Step-by-step explanation:

-5x-10=10

+10 +10

-5x=20

÷-5 ÷-5

×=-4

The second side of a triangular deck is 4 feet longer than the shortest side , and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the desk is 76 feet , what are lengths of the three sides

Answers

The lengths of the three sides of the triangular deck are 19 feet, 23 feet, and 34 feet. The shortest side is 19 feet, the second side is 23 feet, and the third side is 34 feet, and they add up to a perimeter of 76 feet.

Let's denote the length of the shortest side of the triangular deck as "x" feet.According to the problem:The second side is 4 feet longer than the shortest side, so its length is "x + 4" feet.The third side is 4 feet shorter than twice the length of the shortest side, so its length is "2x - 4" feet.Now, we can use the perimeter formula for a triangle, which is:Perimeter = Sum of all sidesIn this case, the perimeter is given as 76 feet, so we can write:x + (x + 4) + (2x - 4) = 76Now, let's solve for x:Combine like terms:4x = 76Divide both sides by 4:x = 19So, the shortest side of the triangular deck is 19 feet.Now, we can find the lengths of the other two sides:The second side is "x + 4," which is 19 + 4 = 23 feet.The third side is "2x - 4," which is 2 * 19 - 4 = 38 - 4 = 34 feet.Therefore, the lengths of the three sides of the triangular deck are 19 feet, 23 feet, and 34 feet.

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(Full question above)
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780

Answers

Answer:

B. 300

Step-by-step explanation:

Final figure volume = big cuboid volume - small cuboid volume

Volume of a cuboid = height x width x length

Final figure = (6 x 6 x 15) - (4 x 4 x 15)

Final figure = 540 - 240

Final figure = 300mm^2

Final answer:

To calculate the volume of a solid rectangular prism with a hole, subtract the volume of the hole from the volume of the prism. Without specific dimensions, we cannot determine the exact volume from the given options.

Explanation:

To find the volume of a three-dimensional figure that is a solid rectangular prism with a hole through the center, we need to subtract the volume of the hole from the volume of the solid rectangular prism. If the dimensions are not given in the question, we can look at examples provided in similar problems.

For instance, in problem 13, the volume of a rectangular solid with a square face of 5 cm and a length of 10 cm is found by multiplying its dimensions: Volume = length × width × height = 5 cm × 5 cm × 10 cm = 250 cm³. Similarly, we would calculate the volume of the outer prism and the inner prism in the given problem and subtract the inner volume from the outer to find the final volume.

The options provided (A. 60, B. 300, C. 540, D. 780) suggest specific volumes. Given the lack of specific dimensions in the question, it is not possible to determine the correct answer from the options provided without additional information.

2x2 what is the answer to this math problem​

Answers

Answer: The answer is 4.

Explanation: It is 4 because if you add 2 plus 2 you will get 4. Or if you put 2 sets of 2 it also equals 4.

h divided by 6 equals 47

Answers

H/6=47
H =6 times 47
H=282

multipy 47 by 6 and then plug in your answer into h

Find the measure of x in each figure

Answers

Answer:

The answer is in both because, the x goes into 3 accordingly. Also in 30 degrees you move upward, and they both factor into the same equations.

Answer:

Step-by-step explanation:

joshua has only dimes and pennies in his piggy bank. he has a total of $23.00 in his bank. the amount of pennies is 20 more than 10 times the amount of dimes. how many dimes and pennies are there

Answers

There are 1160 pennies and 114 dimes in the piggy bank.

Step-by-step explanation:

Given,

Worth of money = $23.00 = 23*100 = 2300 cents

1 penny = 1 cent

1 dime = 10 cents

Let,

x be the number of pennies

y be the number of cents

According to given statement;

x+10y=2300       Eqn 1

x = 10y+20          Eqn 2

Putting value of x from Eqn 2 in Eqn 1

[tex]10y+20+10y=2300\\20y=2300-20\\20y=2280[/tex]

Dividing both sides by 20

[tex]\frac{20y}{20}=\frac{2280}{20}\\y=114[/tex]

Putting y=144 in Eqn 2

[tex]x=10(114)+20\\x=1140+20\\x=1160[/tex]

There are 1160 pennies and 114 dimes in the piggy bank.

Keywords: linear equation, substitution method

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Final answer:

Joshua has 114 dimes and 1160 pennies in his piggy bank. This was determined by setting up a system of equations based on the values of the coins and the given relationship between the number of dimes and pennies.

Explanation:

The problem presented is a typical algebraic word problem that requires setting up equations based on the given information about dimes and pennies. We are told that the total value of the coins is $23.00 and that the number of pennies is 20 more than 10 times the number of dimes. To solve the problem, we need to use the fact that the value of a dime is 10 pennies, and then set up a system of linear equations to find the number of each type of coin.



Step-by-Step Explanation

Let's denote the number of dimes as d and the number of pennies as p.The value of the dimes is 10d pennies since each dime is worth 10 pennies.The total value of the dimes and pennies is 23 dollars or 2300 pennies (since 1 dollar equals 100 pennies).According to the problem, p = 10d + 20.The equation representing the total value is thus 10d + p = 2300.Substituting p from the first equation into the second gives us: 10d + (10d + 20) = 2300.Simplifying this equation, we get 20d + 20 = 2300.Subtracting 20 from both sides, we get 20d = 2280.Dividing both sides by 20, we find out that d = 114.Substituting d back into the first equation to find p, p = 10(114) + 20 which gives us p = 1160.

Thus, Joshua has 114 dimes and 1160 pennies in his piggy bank.

A technology company produces two types of calculators.
• They must produce at least 10 and not more than 30 graphing calculators per day.
• Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.
• The number of scientific calculators cannot exceed 40 per day.
If x is the number of graphing calculators produced daily and y is the number of scientific calculators produced daily, what are the constraints ?

Answers

10 ≤ x ≤ 30, x < 2y, x < 40.

Solution:

Given x is the number of graphing calculators produced daily and

y is the number of scientific calculators produced daily.

Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.

⇒ 10 ≤ x < 30

Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

⇒ x < 2y

Step 3: The number of scientific calculators cannot exceed 40 per day.

⇒ x < 40

Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.

(- 7 10 ÷ - 2 5 ) × (6 − 1.25) =

Answers

Answer: 134.9

Step-by-step explanation: Simplify the expression.

Hope this helps you out!

A recipe calls for 120 mL of milk for each 200 g of flour.Juan is going to use 1 pound of flour. Estimate the number cups of milk Juan should us

Answers

Final answer:

To find how much milk Juan should use for 1 pound of flour, convert the flour to grams (454 g), set up a proportion based on the recipe's ratio, solve for the milk in milliliters, and then convert to cups. Juan will need approximately 1.135 cups of milk, or roughly 1 and 1/8 cups.

Explanation:

The question involves calculating how much milk Juan should use in his recipe based on the amount of flour he has. Since the recipe calls for 120 mL of milk for each 200 g of flour, we need to find out the equivalent amount for 1 pound of flour.

First, let's convert 1 pound of flour to grams, knowing that 1 pound is equivalent to approximately 454 grams. The recipe ratio is 120 mL to 200 g of flour, so we set up a proportion:

200 g flour : 120 mL milk = 454 g flour : x mL milk

To solve for x, we use cross multiplication:

(200 g) * (x mL) = (120 mL) * (454 g)

x = (120 mL * 454 g) / (200 g)

x ≈ 272.4 mL

Since there are about 240 mL in 1 cup of milk, we can convert the milliliters to cups:

x ≈ 272.4 mL / 240 mL/cup

x ≈ 1.135 cups of milk

Therefore, Juan should use approximately 1.135 cups of milk for 1 pound of flour. For ease of measuring, Juan can round this to about 1 and 1/8 cups of milk.

Triangle X Y Z is cut by line segment C D. Line segment C D goes from side X Y to side Y Z. The length of C D is 15, the length of X Z is 18, the length of C Y is 25, and the length of Y D is 20. Lines C D and X Z are parallel. If and CX = 5 units, what is DZ? 2 units 3 units 4 units 5 units

Answers

The length of DZ is 4 units 3rd answer

Step-by-step explanation:

Triangle X Y Z is cut by line segment C D, where

C lies on side XY and D lies on the side YZThe length of C D is 15The length of X Z is 18The length of C Y is 25The length of Y D is 20C D and X Z are parallelCX = 5 units

We need to find the length of DZ

In Δ XYZ

∵ C ∈ XY and D ∈ YZ

∵ CD // XZ

∴ m∠YCD = m∠YXZ ⇒ alternate angles

∴ m∠YDC = m∠YZX ⇒ alternate angles

In Δs YCD and YXZ

∵ m∠YCD = m∠YXZ

∵ m∠YDC = m∠YZX

∵ ∠Y is a common angle

∴ Δ YCD is similar to Δ YXZ by AAA postulate

- There is a constant ratio between their corresponding sides

∴ [tex]\frac{YC}{YX}=\frac{CD}{XZ}=\frac{YD}{YZ}[/tex]

∵ YC = 25 units

∵ CX = 5 units

∵ YX = YC + CX

∴ YX = 25 + 5 = 30 units

∵ YD = 20 units

∵ YZ = YD + DZ

∴ YZ = 20 + DZ

Let us use the ratio of the corresponding side

∵ [tex]\frac{YC}{YX}=\frac{YD}{YZ}[/tex]

∴ [tex]\frac{25}{30}=\frac{20}{20+DZ}[/tex]

- Simplify [tex]\frac{25}{30}[/tex] by dividing up and down by 5

∵ [tex]\frac{25}{30}=\frac{5}{6}[/tex]

∴ [tex]\frac{5}{6}=\frac{20}{20+DZ}[/tex]

- By using cross multiplication

∴ 5(20 + DZ) = 6(20)

∴ 100 + 5 DZ = 120

- Subtract 100 from both sides

∴ 5 DZ = 20

- Divide both sides by 5

∴ DZ = 4 units

The length of DZ is 4 units

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Answer:

on edge the answer is C.

Step-by-step explanation:

bc it is

You are trying to order 1/4 pound of saffron, but the ordering system wants a decimal.What should you type in?

Answers

Answer:

Step-by-step explanation:

1/4 = (1 divided by 4) = 0.25

To convert 1/4 pound of saffron to a decimal for an ordering system, divide 1 by 4, resulting in 0.25. Therefore, the appropriate decimal to enter is 0.25.

The question involves converting a fraction to a decimal for the purpose of entering an order quantity in a system. In this case, we want to convert 1/4 pound of saffron into a decimal. To do this, simply divide the numerator (1) by the denominator (4). Therefore, 1 divided by 4 equals 0.25. Hence, you should type 0.25 into the ordering system to order 1/4 pound of saffron.

What is the solution to x2 = 225?
O
A. X = 15 or x =
-15
O B. X = -15
OC. I = 15
D. r = 5 or x = -:
Dan

Answers

Answer:

x = ± 15

Step-by-step explanation:

Given

x² = 225 ( take the square root of both sides )

x = ± [tex]\sqrt{225}[/tex] = ± 15

That is x = - 15 0r x = 15

Answer:

Step-by-step explanation:

X² = 225

Finding the square root of both side

√X² = √225

X = 15 or -15

How do you isolate the variable in 3x=9

Answers

Answer:

x = 3

Step-by-step explanation:

you would divide both sides by three to get the x alone giving you

x =  9/3

Students played dodgeball and volleyball for 45 min.They played dodgeball for 11 more minuets than volleyball.How long did they play Dodgeball

Answers

Answer:

28 minutes

Step-by-step explanation:

d + v = 45

d = v + 11

time to sub

(v + 11) + v = 45

2v + 11 = 45

2v = 45 - 11

2v = 34

v = 34/2

v = 17 minutes.........volleyball

d = v + 11

d = 17 + 11

d = 28 minutes <=== dodge ball

Answer:

28 mins.

Step-by-step explanation:

PLEASE HELP PLEASE
A group of 20 people from the retirement community is visiting the fair today. Each person is between 75 and 79 years old and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 people joined the same event, how would the shape of the histogram change compared to the original?

Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.

The Chili Cookoff would be more skewed.
The Pie Eating Contest would be more skewed.
The Chili Cookoff would be less symmetrical.
The Pie Eating Contest would be more symmetrical.

Answers

Answer:

The Pie Eating Contest would be more skewed.

Step-by-step explanation:

In order to answer this, first we need to draw original histograms for both of these two events. Since all of the 20 people from the retirement community is attending one of the events, but we don't know which one, we need to draw new histograms for each of the events (see the attachment).

The only distinction of new histograms is the change in the fourth bin representing the 60-79 age group, since all visitors from retirement community fall into this age group.

A histogram is symmetrical if, when split in half by a vertical line, its left and right half act approximately as an object and its reflection in the mirror.

A histogram is skewed if, when split in half by a vertical line, one of its halves shows much greater values then the other.

So looking at our histograms, if all 20 people went to a Pie Eating Contest, that histogram would become more skewed and if all 20 people went to a Chili Cookoff, that histogram would become more symmetrical, which makes b) the correct answer.

Based on the information given, the correct option is B. The Pie Eating Contest would be more skewed.

From the information given, it was stated that a group of 20 people from the retirement community is visiting the fair today and that each person is between 75 and 79 years old and will participate in either the Pie Eating Contest or the Chili Cookoff.

In a situation where all the 20 people joined the same event, the shape of the histogram will change compared to the original as the pie-eating contest would be more skewed.

This implies that when split in half by a vertical line, one of its halves will have greater values than the other.

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What is a equal to?
12=2a

Answers

Using the balance method, we find a = 15 by isolating the variable a. Substituting a = 15 back into the original equation, we verify the solution.

To solve the equation 12 = 2a - 18 using the balance method, we aim to isolate the variable a on one side of the equation.

Starting with 12 = 2a - 18, we'll first add 18 to both sides to isolate the term with 2a:

[tex]\[12 + 18 = 2a - 18 + 18\]\[30 = 2a\]\\[/tex]

Next, we divide both sides by 2 to solve for a:

[tex]\[\frac{30}{2} = \frac{2a}{2}\]\[15 = a\][/tex]

Now, let's verify the solution by substituting a = 15 back into the original equation:

[tex]\[12 = 2(15) - 18\]\[12 = 30 - 18\]\[12 = 12\][/tex]

Since the left side equals the right side, the solution a = 15 is verified.

Complete Question:

Solve the following equation using balance method and verify 12 = 2a - 18​

Which function has a range of y < 3?
y=3(2)*
y=2(3)
y=-(2)*+ 3
O y=(2]*_3

Answers

Answer:

The function given by [tex]y = - (2)^{x} + 3[/tex] will have a range of y < 3.

Step-by-step explanation:

The function given by [tex]y = - (2)^{x} + 3[/tex] will have a range of y < 3.

This is because, for any real values of x, the term [tex]- (2)^{x}[/tex] will have a negative value. If we put x = 1, then, [tex]- (2)^{x}[/tex] = - 2, and for x = -1, then [tex]- (2)^{x}[/tex] = - 0.5.

That means [tex]- (2)^{x} < 0[/tex] for all real x.

Hence, [tex]- (2)^{x} + 3[/tex] < 0 + 3

⇒ y < 3 for all real x. (Answer)

Natalia Leon bought a new bicycle for $248. The sales tax rate is 6 percent. What is the total purchase price
a. $368.22
C. $262.88
b. $234.66
d. $12.40

Answers

Answer:

c. $262.88

Step-by-step explanation:

248× 0.06= $14.88

248+14.88= 262.88

What is 4 9/8 as a simplified fraction

Answers

Answer:

5 1/8

Step-by-step explanation:

4 9/8 is an improper fraction since the numerator is greater than the denominator. To simplify it, you can find how many total eighths there are. 4*8 = 32, and 32 + 9 = 41. Therefore, there are 41/8. There are 5 eights in 41, with one as a remainder, so 4 9/8 simplifies to 5 1/8.

The value of the mixed number A = 4 9/8 is A = 5 1/8

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

Let the mixed number be represented as A

Now , the value of A is

A = 4 9/8   be equation (1)

On simplifying the equation , we get

A = 4 9/8

A = ( 32 + 9 ) / 8

A = 41 / 8

Now , the value of A is an improper fraction , and to convert in into a mixed number , we get

The value of A = 5 1/8

Therefore , the value of A is 5 1/8

Hence , the mixed number is 5 1/8

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Does anyone know this?

Answers

The answer should be 101.

Answer:

Just a guess but 101

Step-by-step explanation:

90-79=11. 90+11=101

If f(x) = 4(3x - 5), find f-1(x)

Answers

Answer:

[tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ [tex]\frac{1}{12} (y+20) = x[/tex]

Replace the places of x and y.

∴ [tex]y=\frac{1}{12} (x+20)[/tex]

∴ [tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]

4 decimals whose sum is 2.35


Answers

Answer:

One way you can solve this problem would be to take 2.35/4

2.35/4= .5875

Then you can add .5875 + .5875 +.5875 +.5875

Which equals 2.24

.5875 + .5875 +.5875 +.5875

Hope this helps ;)

Final answer:

To find four decimals whose sum is 2.35, you can set up a system of equations and solve for the values. The four decimals are 0.10, 0.20, 0.15, and 0.15.

Explanation:

The question is asking for four decimals whose sum is 2.35. To find these decimals, we can assign variables to each decimal (let's call them a, b, c, and d) and set up an equation: a + b + c + d = 2.35. Since we want the decimals to have only two places after the decimal point, we can express them in hundredths. For example, instead of 0.1, we can write it as 10/100 = 0.10.

Now, we can set up a system of equations:

a + b + c + d = 2.35

a = 10/100

b = 20/100

c = 15/100

d = 15/100

By substituting the values back into the first equation, we have: (10/100) + (20/100) + (15/100) + (15/100) = 2.35. Simplifying the equation, we have 0.10 + 0.20 + 0.15 + 0.15 = 0.60. Therefore, the four decimals whose sum is 2.35 are 0.10, 0.20, 0.15, and 0.15.

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6. Persevere Mr. Alton wants to be
tickets for a show. The tickets are for
seats in 3 rows with 3 seats in each
row. The total cost of the tickets
is $81. Each ticket costs the same.
What is the cost of one ticket?

Answers

Answer:

Each ticket it 9$

Step-by-step explanation:

3 by 3 is 3 times 3

3 times 3 is 9

$81/9 is 9

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