a truck delivers 35 cases of books to the library. each case holds 12 books. the librarian plans to place 8 books on each shelf. what is the fewest number of shelves the librarian will need to hold all of the books delivered by the truck?

Answers

Answer 1

Answer:

52

Step-by-step explanation:

35×12÷8

35×12

8

(Cross out the common factor which is 8 and 12)

35×3 = 105

2 2

(find the largest integer less than or equal to 105 which is 52.)

2


Related Questions

question 2 (10 points)

Answers

Answer:

The answer is 476, so the third option is correct.

Step-by-step explanation:

Step 1: Recall the Order Of Operations

The order of operations tells us in which order we have to solve expressions, if there are different operations.

The order is (from first solved to lastly solved) Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Step 2: Calculate the expression

As we can see, there are parentheses present, so we will solve the expression in them first:

[tex](6+4)\\=(10)[/tex]

The expression becomes:

[tex]10\cdot 49 -7\cdot 2[/tex]

Multiplication should occur first before the subtraction, so let's multiply the numbers:

[tex]10\cdot49-7\cdot2\\\\\text{Multiply the first expression:}\\=490-7\cdot 2\\\\\text{Multiply the second expression:}\\=490-14[/tex]

Now, you can subtract the numbers:

[tex]490-14\\=476[/tex]

2.56 = 2w solve for w

Answers

Answer: w=1.28

Step-by-step explanation:


swap the sides of the equation

2w=2.56


divide both sides of the equation by two


w=1.28

Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis.

Answers

The point slope equation of the line that passes through the points (-9,6) and (-7,-8) is  7x + y = -57 .

The point slope equation of the line passing through the points (x₁,y₁) having slope as m is given by the formula .

y-y₁ = m(x-x₁)

In the question ,

it is given that

the required line passes through the points (-9,6) and (-7,-8) ,

So , the slope(m) is = (-8-6)/(-7 -(-9))

= -14/(-7+9)

= -14/2

= -7

the equation of the line passing through (-7,-8) and slope as 7 in the point slope form is

(y -(-8)) = -7(x -(-7))

y + 8 = -7x -49

7x + y = -8-49

7x + y = -57

Therefore , The point slope equation of the line that passes through the points (-9,6) and (-7,-8) is 7x + y = -57  .

The given question is incomplete , the complete question is

Write the point slope equation of the line that passes through the points (-9,6) and (-7,-8) .

Learn more about Point Slope Form here

brainly.com/question/28895991

#SPJ1

Which is the better buy? 2-cup carton of milk for $0.56 2-quart carton of milk for $3.76

Answers

Given:

2-cup carton of milk = $0.56

2-quart carton of milk for $3.76​

To find which of them is a better buy, let's calculate the price of each cup for both.

i) 2-cup carton of milk = $0.56

1 cup =

[tex]\frac{0.56}{2}\text{ = }0.28[/tex]

Here, 1 cup carton of milk is $0.28

ii) 2-quart carton of milk = $3.76​

Given that 1 quart = 4 cups

2 quart = 4 * 2 = 8 cups

Thus

1 cup =

[tex]\frac{3.76}{8}\text{ = }0.47[/tex]

Here, a cup carton of milk is $0.47

$0.28 is less than $0.47, therefore the better buy would be 2-cup carton of milk for $0.56.

Therefore, the best buy would be 2-cup carton of milk for $0.56, because it is cheaper.

ANSWER:

2-cup carton of milk for $0.56

A cup of popcorn at the movie theater sells for $0.25 per cubic inch. A medium sized popcorn is served in a cylindrical cup that is 6 inches in height and 4 inches in diameter. How much would it cost to the nearest cent?
PLEASE HELP :(!

Answers

Surface area - The cost of medium popcorn will be $473.25.

What is surface area?

The surface area of a three-dimensional object is the space taken up by its outer surface.
For instance,
The surface area of a cube is what we need to calculate the amount of paint needed to paint it. It is consistently expressed in square units.

The surface area of the cylinder with the top open = πr(r + 2h)

we are given that,

r = 2in

h = 6in

taking π as 3.14, and substituting these vales in the above equation,

surface area = π x 2 (2 x 2 x 6)

= 3.14 x 2 (2 x 2 x 6)

= 1893in²

cost = 1893 x 0.25

= $473.25

to learn more about surface area visit:
https://brainly.com/question/16519513
#SPJ9

A pet store clerk suggested 5 small fish for a 6-gallon fish tank. What size tank would be suggested to hold 40 small fish?

33-gallon tank
48-gallon tank
160-gallon tank
200-gallon tank

Answers

The size of the tank would be suggested to hold 40 small fish is 48 gallons. (Solved using ratios)

What is a ratio?

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains seven apples and six lemons, the apple-to-lemon ratio is seven to six. Similarly, the proportion of lemons to oranges is 6:7, while the proportion of oranges to overall fruit is 8:14. (or 4:7). A ratio can be defined by providing both constituent integers, which are written as "a to b" or "a:b," or by providing only the value of their quotient a/b. Equal quotients result in equal ratios. A and B are frequently referred to as ratio words, with A being the antecedent and B being the consequent.

This can be solved using ratios

size of tank = 40x6/5 = 48 gallon

The size of the tank would be suggested to hold 40 small fish is 48 gallons.

To know more about ratios, click on the link

https://brainly.com/question/2328454

#SPJ13

En la clase de gimnasia de Zuri, hay 27 estudiantes en total, 21 estudiantes usan anteojos. ¿Cuál es el porcentaje de estudiantes que usan anteojos?​

Answers

Answer:

eme I sh na d9 si me 08 met sup Auburndale el sn ap7 42

Point Q lies in the interior of ZRST.
(1
If mZRST= 125°, mZRSQ = 4x-7, mZQST= 11x + 12, then find x.

Answers

ZRST=125

X is equal to 174

Graph the following features:
• Y-intercept = -3
Slope = -3

-10 -9
-8
-5 -4 -3
10
-1
10
9
8
7
6
5
4
32
10
2
1
-1
21
-3
-4
-5
-6
-7
-8
-9
-10
1 2 3 4 5 6 7 8 9 10
x

Answers

Answer: ed3mt5i

Step-by-step explanation:

ok let me study

4) Write the coordinates of the vertices after a translation 4 units left and 2 units down.
-10 -8 -6
-4
2
>
104
8
6
72
T
2
-4
-6
IN
2
4
6
10
U

Answers

Answer:

Step-by-step explanation:

Can you write it in lines instead of like that, I can answer if you do that.

The remainder is what number (only type the number)
1. What is P(-2) given that P(x) = x - 3x² + 5x + 10?

Answers

14 because the p-2is the value of that

What is the expanded form of this number?

570.086

Responses

(5×100)+(7×10)+(8×1100)+(6×1100)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 100 right parenthesis plus left parenthesis 6 times 1 over 100 right parenthesis

(5×100)+(7×10)+(8×1100)+(6×11,000)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 100 right parenthesis plus left parenthesis 6 times 1 over 1000 right parenthesis

(5×100)+(7×10)+(8×110)+(6×1100)
left parenthesis 5 times 100 right parenthesis plus left parenthesis 7 times 10 right parenthesis plus left parenthesis 8 times 1 over 10 right parenthesis plus left parenthesis 6 times 1 over 100 right parenthesis

(5×100)+(7×10)+(8×110)+(6×11,000)

Answers

The expanded form of this number 570.086 will be  (5 × 100) + (7 × 10) + (8/100) + (6/1000)

How to illustrate the information?

It should be noted that expanded form simply means breaking down the number given into different units. A number can be written in expanded form by multiplying the sum of its digits.

The steps for writing a number in extended form are listed below.

Get the number in its simplest configuration.Determine its place values using the place value chart.Place value is multiplied by the number.

Therefore, based on the information illustrated. This will be:

570.086 will be:

= (5 × 100) + (7 × 10) + (8/100) + (6/1000)

Note that your options aren't written well.

Learn more about number on:

brainly.com/question/11418015

#SPJ1

Answer:

B I took semester test on k12 and got 100 Tell me if you want more answers

Step-by-step explanation:

At the mall you purchase 3 hot dogs and 1 soda. The cost of the soda is $2.25. Your total cost is $15.75. Write and solve an equation to find the cost of 1 hot dog.

Answers

Answer:

Bodzmkoutdoii6iriutdiudiwtyaoroyrisr

9. For f(x) = -x + 8, which statement is true? A f(x + k) = f(x) + k B f(x- k) = f(x) - k Cf(x + k) = f(x) + f(k) D f(x - k) = f(x) + k​

Answers

Answer:

  D.  f(x - k) = f(x) + k​

Step-by-step explanation:

You want to know the effect on f(x) = -x +8 when x is replaced by x±k.

Function evaluation

A function is evaluated by replacing the independent variable in its definition by the function argument.

  f(x) = -x +8

  f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we have ...

  f(x -k) = f(x) +k

The correct statement for the function is: f(x -k) = f(x) +k​. And option(D) is write answer.

How to perform function evaluation?

In mathematics, function expression is mainly consist of dependent variable and the independent variable. And the function is evaluated by replacing the independent variable in its definition by the function argument.

According to the question, the given function expression is: f(x) = -x +8

Now, to know the effect on f(x) = -x +8 when x is replaced by x ± k. This transformation is known as scaling translation.

Therefore, the function expression can be written as:

f(x) = -x +8

⇒ f(x +k) = -(x +k) +8 = (-x +8) -k = f(x) -k

When the sign of k changes, we get:  f(x -k) = f(x) +k

Hence, the correct statement for the function is: f(x -k) = f(x) +k

To learn more about the function evaluation from the given link:

https://brainly.com/question/25638609

#SPJ9

It takes 2 cups of water to cook 1 cup of rice.
How much water dose it take to cook 6.5 cups of rice?

Answers

Answer:

13 cups of water.

Step-by-step explanation:

6.5 x 2 = 13

Answer = 13.

Hope this helps!

Btw, brainliest if correct, thanks!

let P = (x,y) and Q = (1, 5). suing formula that you know for slope write an eqation in these terms of coordinates that says that the slope of line PQ is 3. show how this slope equation can be rewritten in the form y - 5 =3 (x -1).this linear eqation is said to be in point-slopr form. explain the terminology find coordinates for three diffrent points p that fit this equation

Answers

The equation of a line in point-slope form is y - 5 = 3( x - 1).

What is the equation of a line in slope intercept form?

Equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.The slope of a line is defined as the rate of change of the y-axis with respect to the x-axis.

We know the equation of a line in point-slope form is y - y₁ = m(x - x₁).

Given P = (x,y) and Q = (1,5) or (x₁, y₁).

∴ Equation of a line in point-slope form given (x₁,y₁) = (1,5) and slope(m) = 3 is y - 5 = 3( x - 1).

learn more about slope here :

https://brainly.com/question/3605446

#SPJ1

The number of maps remaining at an information booth can be modeled by the function f(x)=274-32r where x is the number of hours that have
elapsed since the booth opened. Which statement is true?
O Every hour 274 maps are given away
O Every hour, 242 maps are given away
O There were 32 maps at the booth before it opened
O There were 274 maps at the booth before it opened

Answers

The answer is d dude

Not sure how to find the area of this shape. Please help asap

Answers

Answer:

6.75m^2

Step-by-step explanation:

The shape is made up of a trapezoid on top and a rectangle on the bottom.

The rectangle's area is easier, so first:

Area_rectangle

= length × width

= 2.5 × .5

= 1.25 m^2

For area of a trapezoid, you need three measures: both bases and the height.

One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.

The height is

2.5 - .5

because the height of the trapezoid is not including the rectangle, so take away .5

Trapezoid's height is 2.5 - .5 is 2.

Area_trapezoid

= 1/2 (base+base)height

= 1/2 (3+2.5)2

=5.5

Area_total

= Trapezoid+rectangle

= 5.5 + 1.25

=6.75m^2

The total area is 6.75square meters.

Answer:

Area = 6.75 meter square.

Step-by-step explanation:

The experimental of spinning a 1 or a 3 is _?

Answers

we have that

the experimental probability of spinning a 1 is 8 times

and

the experimental probability of spinning a 3 is 9 times

so

the experimental probability of spinning a 1 or a 3 is

8+9=17

answer is 17

can yall help me with

Answers

Answer:

B

Step-by-step explanation:

x(2y - 3) ← multiply each term in the parenthesis by x

= 2xy - 3x

Describe the relationship between the 5's in the number 655,572:
The five in the 55 place is 5 times greater than the 5 in
the thousands places.

Answers

Answer:

im jus trying to get points lol

Step-by-step explanation:

At one time the thickness of different gauges of stainless steel were give. In fractions of an inch. Today, those thicknesses are listed as decimal numbers. Convert each of the following fractional thicknesses to decimal form.

Answers

Following are the fractions in decimal form.

What do fractional parts mean?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

It is calculated by dividing the total number of parts by the number of equal parts that were counted (numerator) (denominator). Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.

a) 15 / 32 = 0.46875

b) 21/64 = 0.328125

c) 9/16 = 0.5625

d) 3/8 = 0.375

e) 1/80 = 0.0125

f) 11/1280 = 0.008593

To learn more about fractions from given link

https://brainly.com/question/1622425

#SPJ10

The Chan’s minivan requires 5 gallons of gasoline to travel 120 miles. How many gallons of gasoline will they need to travel 360 miles?

Answers

Answer:

15 gallons

Step-by-step explanation:

360 divided by 120= 3

3×5=15

3) Factories A and B produced potato chips. Last year, each factor
ingredient. Factory A reported their amounts in scientific ne
their amounts in standard form.
Ingredient Factory A (amount used in lbs) Factory B
Potato
4.87 × 106
5.61×10³
2.87 × 10³
a) Which factory used more oil last year? By how much'
Oil
Salt
b) what is the total amount of salt use by both factories?
c) what is the total weight of all of the ingredients in Factory A?

Answers

Factory A uses more oil by 2.05×10⁵ lbs, total salt used is 4.805×10⁵ lbs and total ingredients used in factory A are 57.18×10⁵ lbs.

a) The oil used by Factory A = 5.61×10⁵ lbs

The oil used by Factory B = 3,56,000 lbs

The oil used by Factory B = 3.56×10⁵ lbs

Comparing the coefficient. Since 5.61 is greater than 3.56, the factory A used more oil. Difference in amount = 5.61×10⁵ - 3.56×10⁵

Difference in amount = 2.05×10⁵ lbs

b) Salt used by Factory A = 2.87×10⁵ lbs

Salt used by Factory B = 193,500 lbs

Salt used by Factory B = 1.935×10⁵ lbs

Total salt used by both the factories = 2.87×10⁵ + 1.935×10⁵ lbs

Total salt used by both the factories = 4.805×10⁵ lbs

c) Potato used by Factory A = 4.87×10⁶ lbs

Potato used by Factory A = 48.7×10⁵lbs

Oil used by Factory A = 5.61×10⁵ lbs

Salt used by Factory A = 2.87×10⁵ lbs

Total ingredients used in Factory A = 48.7×10⁵ + 5.61×10⁵ + 2.87×10⁵ lbs

Total ingredients used in Factory A = 57.18×10⁵ lbs

2.05×10⁵ lbs more oil is used by Factory A, 4.805×10⁵ lbs is the total amount of salt used and 57.18×10⁵ lbs ingredients are used in factory A.

Learn more about scientific notations -

https://brainly.com/question/5756316

#SPJ9

The complete question is attached in figure.

Consider U = {x|x is a positive integer greater than 1}.
Which is an empty set?
{x|x € U andx is prime}
O {x|x E U and 2x is prime}
{x|x € U and x can be written as a fraction}
{x|x E U and 2x can be written as a fraction}

Answers

Options 3 and 4 are empty sets.

What is an empty set?

Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.

We can also define finite and infinite sets  based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.

Given U = {x|x is a positive integer greater than 1},

It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).

As the elements in the option 3 and 4 are fractions, therefore they are  empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

To know more about empty sets, refer

https://brainly.com/question/19221381

#SPJ13

In the Honor Society at Carter Middle School, 54% of the members are girls. There are 108 girls in the Honor Society. How many members are there in total?

Answers

Answer:

46x2=92 108+92= 200 total members

Step-by-step explanation:

108/2=54% so 46%x2members = 92 members.

A bag of tokens contains 5 red, 7 green, and 10 blue tokens. What is the probability that a randomly selected token is red? Enter your answer as a fraction.

Answers

SOLUTION

Notice that the total number of tokens is:

[tex]5+7+10=22[/tex]

Notice that the number of red token is 5

Therefore the probability of that a selected token is red is:

[tex]P(R)=\frac{5}{22}[/tex]

I messed up and didn’t show this for my last question, so sorry on my part.

Evaluate the function for the following values

f(-2)=
f(0)=
f(3)=

Answers

f(-2)=1 f(0)=7 and f(3)=7

You are creating identical candy bags using 36 chocolate bars and 81 caramel bars. what is the greatest number of bags you can fill using all the candy?

Answers

The greatest number of bags that can be filled using all the candy is 9.

The greatest number of bags that can be filled using all the candy can be determined by calculating the greatest common factor (GCF).

The greatest common factor of two or more numbers is a term used in mathematics that can be described as the greatest number among all the common factors of these numbers. If x and y are two numbers, GCF is the largest number that divides both x and y without leaving any remainder.

As there are 36 chocolate bars and 81 caramel bars, therefore we determine the GCF of 36 and 81;

The common factors of 36 and 81 are found to be: 1, 3 and 9

Hence the greatest common factor (GCF) out of these is 9.

Therefore the greatest number of bags that can be filled using all the candy is calculated to be 9

To learn more about the greatest common factors; click here:

https://brainly.com/question/11221202

#SPJ4

You and your friends plan to attend the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50 cents. If your parents gave you $20, write and solve a linear equation to find how many rides you can go on.

Answers

The linear equation to find how many rides you can go on is 5 + 0.5x = 20 and there'll be 30 rides.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The linear equation will be:

Let the number of rides be x.

This will be:

5 + (0.5 × x) = 20

5 + 0.5x = 20

Collect like terms

0.5x = 20 - 5

0.5x = 15

Divide

x = 15 / 0.5

x = 30

The number of rides is 30

Learn more about equations in:

brainly.com/question/2972832

#SPJ1

There will be 30 rides, and the linear equation to determine the total number of rides is 5 + 0.5n = 20.

What are the equations?

Mathematical statements which have at least two terms with equal quantities or variables are called equations.

Let n be the total number of rides.

The fair's entrance fee is $5, and each ride costs 50 cents, and parents gave $20 which is given in the question.

According to the given situation, the required equation as

⇒ 5 + 0.5 × n = 20

⇒ 5 + 0.5n = 20

⇒ 0.5n = 20 - 5

⇒ 0.5x = 15

Divide by 0.5 into both sides of the equation,

⇒ n = 15 / 0.5

⇒ n = 30

Therefore, the total number of rides will be 30.

Learn more about the equations here:

brainly.com/question/13947055

#SPJ1

Other Questions
definition of Bystander the table shows the workout results for for joggers complete the table to order the joggers from the slowest to the fastest rate If the rate of change of Cl2 is 0.0500M/s, what is the rate of change of NO?2NO (g) + Cl2 (g) -------> 2NOCl (g) ______ M/s In which two ways do plant cells use the sugar made in photosynthesis ? to produce phosphate groups to store inorganic matter to supply the plant with energy for life to make other types of organic molecules Read the quote by Thomas Hobbes.Law was brought into the world for nothing else but to limit the natural liberty of particular men in such manner as they might not hurt but assist one another and join together against a common enemy. Read the quote by Thomas Hobbes.Law was brought into the world for nothing else but to limit the natural liberty of particular men in such manner as they might not hurt but assist one another and join together against a common enemy. The scatter plot shows the price of gas per gallon. Based on the trend line, which is closet to the expected price of 11 gallons of gas?A. $34B. $36C. $38D. $40 pine corporation provides $1,000 of services on account with terms 2/10, n/30. if the customer takes the discount and pays within 10 days, pine will receive a. Describe the processes for developing and monitoring a business plan for a small business. b. Describe how you might establish systems to ensure the legal rights and responsibilities of the business are identified and the business is adequately protected, specifically in relation to work health and safety (WHS), business registration and environmental requirements. c. Explain how to communicate a business plan for a small business that clearly addresses priorities, responsibilities, timelines and budgets. d. Describe how you might evaluate the customer base and target market for a small business as a basis for the marketing objectives and strategies Can someone translate this? Mr musa since the servant to the market to buy orange is 15 naira the servants have eaten three oranges on the way ,mr musa a 25 cover orange more than the market price. taking x to be number of oranges mr musa received ,form an equation in x and find x . 6,095 divided by Two answers What is insurance an example of? Select one: a. Risk avoidance b. Risk assignment c. Risk mitigation d. Risk rejection Do you know any women who work in healthcare Form ________ ? is a short tax return form designed for single and joint filers with no dependents or itemized deductions. Based on the sentence, which transition best indicates a chronological sequence? 3 to the power of -3 =1/3 What type of decision-support system analysis attempts to predict the impact of changes in the assumptions, that is, the input data, on the proposed solution?. Rewrite the expression with a rational exponent as a radical expression. What was one of the long-term effects of the Crusades?A Islamic and Christian cultures worked together and formed lasting alliances.B Relations between Islamic and Christian cultures were damaged immensely.C Christian forces continually occupied Jerusalem after the First Crusade.D Islamic forces were forced to retreat to the Arabian Peninsula. How many times does the sun circle around the earth?