Kim needs to place 32 mystery books and 56 biography books on library
shelves. She is to place the maximum number of books on each shelf so
that all the shelves have the same number of books. Each shelf will
contain only one type of book

Answers

Answer 1

The maximum number of books on each shelve is given as follows:

8 books.

How to obtain the maximum number of books?

The maximum number of books on each shelve is obtained applying the greatest common factor to 32 and 56, as they are the amounts of each type of book, and each shelve will contain only one type of each book.

The greatest common factor is obtained factoring both numbers simultaneously by prime factors, as follows:

32 - 56|2

16 - 28|2

8 - 14|2

4 - 7|

There is no number by which 4 and 7 are simultaneously divisible by, hence:

gcf(32,56) = 2 x 2 x 2 = 8.

Missing Information


The problem asks for the maximum number of books on each shelve.

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Related Questions

Jessica bought 6 CDs that were each the same price. Including sales tax, she paid a total of 88.20. Each CD had a tax of 0.60. What was the price of each CD before tax

Answers

Answer: $14.27 per CD before tax

Step-by-step explanation:

0.60 times 6= 3.60

88.20 subtracted by 3.60 = 85.60

85.60/6 = 14.2666667

You apply the
{Select)
operation
[ Select ]
-for multiplication equations and
[ Select ]
for division equations
-to
[ Select ]
of the equation.

Answers

Answer:

ndhduejcijgisjcidjcjzjfjidjicjdici djcojzifcjdjcu

Step-by-step explanation:

no se weydgfds

May I please get a little help with this question? Thank you so much.

May I please get a little help with this question? Thank you so much.

Answers

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)

Answers

9514 1404 393

Answer:

   A, D

Step-by-step explanation:

The horizontal distance between the points is the difference of their x-coordinates.

A) 5.5 -(-6.5) = 12.0 . . . greater than 11

B) 4.7 -(-3.3) = 8.0

C) 11/3 -(-10/3) = 21/3 = 7

D) 2 -(-12) = 14 . . . greater than 11

3. What is the value of |—9|?
A. 18
B. 9
C. 0
D. -9

3. What is the value of |9|?A. 18B. 9C. 0D. -9

Answers

Answer:

B) 9

Step-by-step explanation:

The answer s 9 because the absolute value symbols in the question mean the distance away from 0. In this case, -9 is 9 away from 0 so the answer is 9.

hope this helped!

For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent

Answers

Answer:

Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Step-by-step explanation:

lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.

Answers

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Maria purchased a car for $8599. If the rate of depreciation is 2.5%, what will the value of the car be after four years? Round your answer to the nearest hundredth.

Answers

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

help me asap. i’ve been stuck on this question for like two hours

help me asap. ive been stuck on this question for like two hours

Answers

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

2 doctors is x % of 25 doctors

Answers

Answer:

it is 8% trust

Step-by-step explanation:

Find the slope of the line containing the given points.f​(2​)=5 and ​f(4​)=−5

Answers

put -5 in 5 postion for the second and 5 for the first

Step-by-step explanation:

-7 times what equals 2? i’ll give brainliest

Answers

Answer:-3.5

Step-by-step explanation:

Use the Ray tool to graph the function. f(x)=−|x+3|−4

Answers

The graph of f(x) will be an upside-down, 3 units to the left, 4 units downward V-shaped curve.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

what are functions?

The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837:

from the questions:

The absolute value function f(x) = |x| has been translated to the left by 3 units and down by 4 units, transforming it into the function

f(x) = -|x + 3| - 4.

As the vertex of the absolute value function is at (0,0), the shift will cause the vertex of f(x) to move to (-3,-4) instead.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

As a result, the graph of f(x) will be a V-shaped curve that has been rotated 180 degrees, shifted 3 units to the left, and descended 4 units.

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value of the digit 3 for 263 is​

Answers

Answer:

3

Step-by-step explanation:

the number is 263 that means it falls under the ones category 60 would fall under tens and 2 would fall under hundreds

Answer:

Ones place

Step-by-step explanation:

2 (hundreds)

6 (tens)

3 (ones)

A pair of shoes was originally priced at 100. The store owner gives a discount discount, and the shoes are now priced at 60

Answers

Answer:

i think there was a discount of 40

Step-by-step explanation:

Answer:

The answer is: 40% Off Discount

Step-by-step explanation:

$100 - $60 = 40%

Which ratio is larger, 6:9 or 5:6?

Answers

Answer:

5:6 is larger

Step-by-step explanation:

6:9 = 6/9 = 2/3 = 0.6666...

5:6 = 5/6 = 0.8333...

5:6 is larger

Answer:

5:6

Hope this helps! :)

A rectangular plastic tub is 70 centimetres long, 30 centimetres wide, and 30 centimetres tall. How many litres of water will it hold?

Answers

V = a*b*c
a=70
b=30
c=30
V = 70*30*30
V = 63,000 Cm^3
And in litres we will need to divide by 1000,
1 litres = 1000Cm^3
So:
V =63,000/1000
V= 63 litres

Which of the following is equivalent to the quantity two thirds end quantity to the power of 2 times x?

the quantity four thirds end quantity to the power of x
the quantity four sixths end quantity to the power of x
the quantity four ninths end quantity to the power of x
the quantity three halves end quantity to the power of x

Answers

The equivalent expressions is solved to give the quantity four ninths end quantity to the power of x. Option C

What is an algebraic expression?

An algebraic expression can be described as an expression that is made up of terms, factors, coefficient, variables and constants.

These expressions are also composed of mathematical operations.

Also note that index forms are mathematical forms used to represent numbers too large or too small.

From the information given, we have that;

(2/3)²⁽ˣ⁾

expand the bracket, we get;

(2/3)²ˣ

Find the square of both the numerator and denominator, we get;

(4/9)ˣ

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will give braineliest can anyone explain and answer this i reallllllly need help i will love you forever:) √5(8+3√6)

Answers

Answer:

34.3202205452

Step-by-step explanation:

Using the product rule for radicals and the fact that multiplication is commutative, we can multiply the coefficients and the radicands as follows.

Use the distributive property when multiplying rational expressions with more than one term.

Hi There!!

I think your answer is:

\(\sqrt[8]{5}+ \sqrt[3]{30}\)

I'm not sure this 100% right....

\(\sqrt{HopeThisHelps}\)

\(Loserbrazts\)

ヾ(•ω•`)o

The table below shows a company's Manufacturing Cost, Overhead, Total
Sales, Profit, and Dividend per Shareholder over 4 years. Assume the
relationships among Manufacturing Cost, Overhead, Total Sales, Profit,
and Dividend per Shareholder remain the same over the years.

What should have been the Dividend per Shareholder in 2017,
assuming the number of Shareholders has remained unchanged
during the period 2017-2020?


SELECT ONE ANSWER

$17.45

$19.50

$20.00

$25.00

The table below shows a company's Manufacturing Cost, Overhead, TotalSales, Profit, and Dividend per

Answers

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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help pls. the question is in the picture at the top.

help pls. the question is in the picture at the top.

Answers

Answer:

solve for 6x+8

Answer:

x = 3

Step-by-step explanation:

Since ∠ P and ∠ S are congruent then the triangle is isosceles and

PT = TS , substitute values

7x + 4 = 5x + 10 ( subtract 5x from both sides )

2x + 4 = 10 ( subtract 4 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

PLZ HURRY IT'S URGENT!!!
Write the equation of a line with a slope of -2 and a y-intercept of 3.
options:

y=3x−2

y=−3x+2

y=2x−3

y=−2x+3

Answers

Answer:

y=-2x+3

Step-by-step explanation:

2/3 ounce servings are in 5 1/2 ounces of oatmeal

Answers

Answer: 4/33

Step-by-step explanation:

just divide

Answer:

The answer is 4/33.

Step-by-step explanation:

to get this you just have to divide.

you're welcome.

(07.01, 07.02 LC) Factor the greatest common factor: −5k2 + 20k − 30.
−1(5k2 − 20k + 30)
−5(k2 − 4k + 6)
−5k(k2 − 4k + 6)
−5(k2 + 4k − 6)

Answers

Answer:

-5(k2-4k+6)

Step-by-step explanation:

I think is -5(k2-4k+6)

I think that it's 5(k2 − 4k + 6)

The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.

Answers

Answer:

∠1 → 108

∠2 → 72

Step-by-step explanation:

Supplementary angles add up to a total of 180° (two angles is a pair). So:

∠1+∠2=180°

∠1 → supplement

∠2 → 36 less than the supplement

Create an equation, using x as angle 1 and y as angle 2:

\(x+y=180\)

Insert the given values:

\(x+(x-36)=180\)

Solve for the value of x. Simplify parentheses:

\(x+x-36=180\)

Simplify addition:

\(2x-36=180\)

Add 36 to both sides:

\(2x-36+36=180+36\\\\2x=216\)

Isolate the variable. Divide both sides by 2:

\(\frac{2x}{2}=\frac{216}{2}\\\\ x=108\)

The value of x is 108. Insert this into the equation above:

\(x+y=180\\\\108+y=180\)

Solve for y. Subtract 108 from both sides:

\(108-108+y=180-108\\\\y=72\)

The value of y is 72.

Therefore:

∠1 → 108

∠2 → 72

:Done

*Check:

Insert the values into an equation set to 180 to determine if true:

\(108+72=180\\\\180=180\)

Subtract 108 by 72 to see if the difference is 36:

\(108-72=36\\36=36\)

The given values are true.

Supplementary angles add up to \(180^o\)

The angles are 72 and 108

Let the angles be x and y.

Such that:

\(y = x - 36\)

So, we have:

\(x + y = 180\) --- sum of supplementary angles

Substitute \(y = x - 36\)

\(x + x - 36 = 180\)

\(2x - 36 = 180\)

Collect like terms

\(2x = 36 + 180\)

\(2x = 216\)

Divide by 2

\(x = 108\)

Recall that:

\(y = x - 36\)

\(y = 108 - 36\)

\(y = 72\)

Hence, the angles are 72 and 108

See attachment for the illustration of the angles

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The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures

As 100 students entered the auditorium they were each given a prize. If every sixth student received a pencil and every ninth student received a notebook, how many participants received both a pencil and a notebook?

Answers

Answer:

If every sixth student received a pencil and every ninth student received a notebook, 5 participants received both a pencil and a notebook.

Hope this helps!!

What is 5 + x=6.?




Mm

Answers

Answer:

x = 1

Step-by-step explanation:

Work backwards:

5 + x = 6 (minus 5 from both sides)

6-5 = x

x =1

Sub in to check

Answer:

5 + x = 6

X = 6 -5

X = 1

Value of X is 1

Expand and Simplify Fully
5(2k+2)+3(K-5)

Answers

Answer:

\(13k - 5\)

Step-by-step explanation:

\(5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5\)

How long must 100 be invested at a rate of 4% to earn 32.00 in interest

Answers

It is 10% lomg because I need to add both sides

By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0​

Answers

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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