Learn-a-Lot Academy needs to order 900 pencils for its students. The pencils come in cases of 24 boxes with 12 pencils in each box. The pencil manufacturer will sell only whole cases. How many cases of pencils must Learn-a-Lot Academy order?​

Answers

Answer 1

Answer:

4 Cases

Step-by-step explanation:

If they bought 3 cases they would only have 864

Answer 2

Answer:

4 cases

Step-by-step explanation:

Find out how many pencils per case:

1 case = 24 boxes

1 box = 12 pencils

1 case = 24•12 = 288 pencils

Divide the amount of needed pencils (900) by how many per case there are (288) to find how many cases you need:

900÷288=3.125 (or 3 1/8)

Since you can't get a part of a case (for the 1/8 of a case you need), you will need to round up to 4 cases.


Related Questions

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

An example would be... slope intercept form is y=mx+b m being the slope b equal the y-intercept. so an equation would be y=3x+7 3 is the slope and 7 in the y-intercept. I am giving you this way because i do not know what points the graph are going through. And do not know what the graph looks like.

Mrs. Sheldon has the desks
in her room in a square
formation with the same
number of desks in each row.
If there are a total of 25 desks
in her room, how many desks
are there in the first two
rows?

Answers

Answer:

16, 21

Step-by-step explanation:

The answer is 16, 21

Vote and like this have a great day ?

Please help me on this question i would appreciate it

Answers

Answer: x = 120 y = 25 z = 35

Step-by-step explanation:

z = 35 because of the Z rule

y = 25 because y + 35 = 60

x = 120 because of the C rule

Sorry if you don't understand, I don't know how to explain the reason to the answers

X=120 y=25 z=35 hope it helps

Pls help I don’t understand

Answers

It appears the graph goes through (0,3) and (5,6)

If so, then you have the correct slope and y intercept.

The formula is [tex]C = \frac{3}{5}n+3[/tex] which is the same as writing C = (3/5)n+3

Don't forget about the parenthesis around the 3/5.

We can verify this by plugging in n = 0 and you should get C = 3.

Also, if n = 5 then it leads to C = 6.

Surface area help I am struggling

Answers

Answer:

Total Surface Area: 65.97 cm²

Lateral Surface Area: 37.70 cm²

Step-by-step explanation:

You can solve for the surface area without the height or you can solve for the height and then find the surface are, either way is easy.

Lets first solve without the height. We will solve the surface area with the radius and slant height.

Total Surface area of cone formula: πr (r + s)

Curved surface are formula: πrs

Substitute the values in the picture with the formula

Slant height: 4

Radius: 3

πr (r + s)

π(3)(3 + 4)

(3.141593)(3)(3 + 4)

=9.424778(3 + 4)

=(9.424778)(7)

=65.973446

65.973446 rounded to the nearest hundredth is 65.97
TSA = Total Surface Area

TSA = 65.97 cm²

Now to find the curved surface area or some people call it the Lateral Surface Area

Formula: πrs

Radius: 3

Slant Height: 4

π(3)(4)

(3.141593)(3)(4)

=(9.424778)(4)

=37.699112

37.699112 to the nearest hundredth is 37.70

CSA = Curved Surface Area

CSA = 37.70 cm²

If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):

Formula: height (h) = √s² - r²

Slant height = s = 4

Radius = r = 3

Height = h = ?

Now substitute the values into the formula

h = √s² - r²

h = √4² - 3²

h = √16 - 9

h = √7

h = 2.64575131

Height: 2.64575131 cm

Now it's time to find the surface area and curved surface area, now that you have the height:

Surface area formula given height and radius: πr(r + √(r² + h²))

Substitute the values

Height: 2.64575131
Radius: 3

πr(r + √(r² + h²))

π(3)(3 + √(3² + 2.64575131²))

TSA = (3.141593)(3)(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(9 + 7)

TSA = 9.424778(3 + √(16)

TSA = 9.424778(3 + 4)

TSA = 9.424778(7)

TSA = 65.973446

TSA = 65.97

Next, time to find the Curved surface area:

Formula: CSA = πr√(r² + h²)

CSA = πr√(r² + h²)

Substitute the values into the formula

Radius: 3

Height: 2.64575131

Slant Height: 4

CSA  = πr√(r² + h²)

CSA = π(3)√(3² + 2.64575131²)

CSA = 9.424778√(3² + 2.64575131²)

CSA = 9.424778√(9 + 7)

CSA = 9.424778√(16)

CSA = 9.424778(4)

CSA = 37.699112

CSA = 37.70

So, we can conclude that the Total Surface Area is 65.97 and the Lateral Surface Area is 37.70.

a system of linear equations as represented by the two tables below what is the solution to the system table 1 x = -5, -2, 0, 3 y = 6, 3, 1, -2, table 2 x = 0, 1, 2, 3 y = -7 -4, -1, -2​

Answers

Answer:

(3, - 2 )

Step-by-step explanation:

In Table 1 when x = 3 , y = - 2

In Table 2 when x = 3 , y = 2

Then the solution to the system is (3, - 2 )

5. The two numbers rolled can be added to get a sum. Find P(sum is even). (1 point)
1/4
15/36
1/2
3/4​

Answers

I don’t get it either but I’m thinking it’s 1/4

Type the integer that makes the following addition sentence true:

Answers

Answer:

  93

Step-by-step explanation:

Add 36 to both sides of the equation:

  36 -36 + ___ = 36 +57

  0 + ___ = 93

  ___ = 93

The integer 93 goes in the blank.

The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers

Answers

Answer:

30

Step-by-step explanation:

Since we have five numbers and their mean is 16 as we all know that  

mean = summation of total numbers / summation of  total number of terms

Mean = 16 for 5 numbers

sum =  16 x 5 = 80( sum of the  five terms)

when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y

New sum = 80 + x + y

new number of terms = 7

new mean = 20

20 =  80 + x + y

             7                    we cross multiply to get the unknown values

20 x 7  =  80 +  x + y    ,   140  = 80 + x + y

we use y as subject of the formula to get x

140 - 80 + x =  y

60 +  x = y,   y = 60 + x

we input y = 60 + x into the equation (140= 80 + x + y) to get x

140 = 80 + x  + 60 + x    ,        140 = 80 + 60 + x  + x

140  =  140 + 2x   ,         140 -140  = 2x

0 = 2x   ,  divide both sides by 2 to get x

x = 0

we then input x = 0 into the equation to get y

140 - 80 + x = y

140 - 80 + 0 = y   ,      60 + 0 = y

y  =  60

To find the mean of the two extra numbers,  we then use the above formula for finding mean.

60 + 0 / 2   =  60 / 2 =30

mean = 30.

Amount of Sleep
10
9
8
Frequency
2
0-3
4-7
8-11
12-15
Time (hours)
What percentage of Mr. Hamilton's students slept 3 hours or less?
%

Answers

Answer:

I guess 3 hours is the answer.

Tips

Answer:

3 hours

Step-by-step explanation:

3 hours is the answer

Pleaseeeee hellppppdosbshsb I NEED TO KNOW!!!

Answers

Answer:  [tex]y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

This is the same as writing y = 3sin(x/3) + 2

=====================================================

Explanation:

The template for a sine function is

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

where,

A = deals with the amplitudeB = deals with the periodC = phase shiftD = midline

---------------

The highest point is at y = 5 and lowest is at y = -1. This is a gap of 6 units, which cuts in half to 3. The amplitude is 3 meaning that A = 3.

---------------

One peak or highest point occurs when x = 3pi/2

The next peak over is at x = 15pi/2

This is a gap of (15pi/2) - (3pi/2) = 12pi/2 = 6pi units

The period is T = 6pi which leads to B = 2pi/T = 2pi/6pi = 1/3

In short, B = 1/3

---------------

We don't have to worry about the phase shift, so C = 0.

---------------

The midline is the average of the highest and lowest y values.

D = (5+(-1))/2 = 4/2 = 2

This means D = 2.

---------------

In the previous sections, we found the following

A = 3B = 1/3C = 0D = 2

This means we go from

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

to

[tex]y = 3\sin\left(\frac{1}{3}\left(x-0\right)\right)+2\\\\y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

which is the final answer.

---------------

Extra info:

If you wanted, you could use a cosine function. This is because any cosine function is a phase shift of a sine function. But that greatly complicates things and sine is better suited here.

What is half of 1 1/2 teaspoons

Answers

Answer:

The half of 1 1/2 tps would be 3/4 tsp.

Step-by-step explanation:

Hope This Helps

Have a Great Day

Answer:

3/4 tsp

Step-by-step explanation:

give guy above brainliest ig lolz

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find The area of the rhombus.

The area of the rhombus is_______

Answers

Given:

[tex] \\ [/tex]

Diagonal 1 = 19 ft

[tex] \\ [/tex]

Diagonal 2 = 29 ft

[tex] \\ [/tex]

To find:

[tex] \\ [/tex]

Area of figure (rhombus)

[tex] \\ [/tex]

Solution:-

[tex] \\ [/tex]

Ad we know Area of rhombus has two Formulas:-

[tex] \\ [/tex]

First :-

Area = (Diagonal 1 × Diagonal 2)/2

[tex] \\ [/tex]

Second:-

Area = B × h

[tex] \\ [/tex]

As we know in this case base and height aren't given, so we will use first formula to find rhombus.

[tex] \\ [/tex]

We know:-

[tex] \\ [/tex]

[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{diagonal_1 \times diagonal_2}{2} \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{19 \times 29}{2} \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{551}{2} \\ [/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf{}Area \: of \: rhombus = 275.5 \: {ft}^{2} \\ [/tex]

[tex] \\ [/tex]

know more :-

[tex] \\ [/tex]

[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]

Please help me on the math work

Answers

Answer:  x = -20

Step-by-step explanation:

What type of angle is angle M?
L
M
P
O A. acute
B. straight
C. obtuse
D. right

Answers

Answer:

Although it would be great to see the picture of your problem, Acute angles are usually smaller than a right angle. A right angle is half of a straight line. A straight line is exactly how it sounds. An obsute angle is bigger than a right angle, so it has a higher degree.

Whats 29x 7.4 show work

Answers

Answer:

214.6

Step-by-step explanation:

First, split 7.4 into number, this makes it easier later.

29*7=203

0.4*29=11.6

Next add them up for your total.

203+11.6=214.6

Answer:

214.6

Step-by-step explanation:

29x7.4=214.6

The orchard's owner plots the table's data on the coordinate plane. Which other coordinate pair is appropriate for the situation to plot on the same plane? A) (40, 60) B) (125, 50) C) (100, 60) D) (70, 140)

Answers

Answer: B:2.5

Step-by-step explanation: divide the two numbers to find the answers

Answer:

B is the answer 125,50

Step-by-step explanation:

Please mark brainlyist

Write in slope intercept form. 2x + y = 2

Answers

Answer:

y= -2x+2

Step-by-step explanation:

Slope intercept form is y=mx+b.

To write this equation in slope-intercept form, we must isolate y.

2x+y=2

Subtract 2x from both sides

y= -2x+2

Liz has turtles that triple every month. and Steven has turtles that double every month. If Liz has 7 turtles at the same time that Steven has 5 turtles. then in how many turtles after 6 months do they have in total?

Answers

The number of turtles they will have after 6 months is =1,893 turtles

Calculation of total turtle

Number of turtles owned by Liz every month =

first month = 7

second month= 7×3 = 21

third month = 21× 3 = 63

fourth month = 63 × 3 = 189

Fifth month = 189 × 3 = 567

Sixth month = 567 × 3 = 1701 turtles

Number of turtles owned by Steven every month =

first month = 6

second month = 6 × 2 = 12

third month = 12× 2 = 24

Fourth month = 24 × 2 = 48

Fifth month = 48 × 2 = 96

Sixth month = 192 turtles

Therefore total turtle owned by both Liz and Steven=

1701 + 192 = 1,893 turtles

Learn more about addition here:

https://brainly.com/question/25421984

the length of the diagonal of a square is 15 square root of 2 what is the perimeter

Answers

Solution:

Given:

Diagonal of square: 15√2Perimeter of square: 4s

Solving using Pythagoras theorem~

(15√2)² = s² + s²=> 225 x 2 = 2s² => 225 = s² => s = 15 units

Now, solve for perimeter by substituting into the term '4s'.

4(15)=> 60 units

Hence, the perimeter of the square is 60 units.

If you made 30$ every 5 minutes, how much would you have in 10 hours?

Answers

The correct answer is 3600
The answer: $3,600
as how 5 minutes = $30 so 5x 12 to represent 1 hour so 12x 30 for $360 then 360 x 10 for the ten hours

Type the integer that makes the following subtraction sentence true:
_____ − –99 = 3

Answers

Your answer should be 102

Answer:

-96

Step-by-step explanation:

when there are two subtraction signs it is basically a plus sign

so

___ + 99 = 3

then you can subtract 99 from both sides

___ = -96

your answer is -96

1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?

2. What is the measure of angle ABC?

Answers

Check the picture below.

Un cuadrado mide de lado 15 cm. ¿Cuál es el área? *

Answers

Answer:

225 no estoy segura pero creo que es eso

on a road map 1 inch represents 25 miles. how many miles would 2.5 inches represent ? explain in one sentence

Answers

Answer:

25 miles * 1 inch = 25 miles; 25 miles * 2.5 inch = 62.5 miles

Step-by-step explanation:

Hope this helps!!

Find the domain of the graphed function.

Answers

Answer:

the domingo of a grapa consiste of all the input vales show on the x-axis the rango is the set of posible output vales which are show on the y-axis

The simple interest on an investment of $7540 over 8 years is $1749.28.
If the annual interest rate is R, find R as a percentage to the nearest one decimal place.
Enter each line of working as an equation.

Answers

Answer:

41.38%

Step-by-step explanation:

A= P(1+in)

7540 = 1749.28 + 13994.25i

5790.72= 13994.25i

i=0.41379×100

i=41. 38%

If anyone can answer this question i would greatly appreciate it!! <3

An apartment rents for $665/month. To start renting, you need the first and last
month's rent, and a $650 security deposit. You also have upfront costs of $126 for
a year of tenant insurance, $95 hookup fee for phone and internet, and $80 TV
hookup fee. What is the total amount you need to begin renting the apartment?

Answers

You have to make a sum of all the numbers

$665 first month
$665 last month
$650 security dep
$126 tenant insurance
$95 phone and internet
$80 tv
______
$2281

You need $2281 to rent the appointment

The total amount need to begin renting the apartment is $2281.

What is rent?

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

We have,

An apartment rents for $665/month.

$95 hookup fee for phone and internet, and $80 TV hookup fee.

So, the total amount

= 665 + 665 + 650 + 126 + 95 + 80

= $2281

Thus, the total amount for rent is $2281.

Learn more about Rent problem here:

https://brainly.com/question/1434221

#SPJ2

Find the measures of the numbered angles in the rhombus.

Answers

Answer:

Step-by-step explanation:

Angle 1 is 90 - 34 = 46 deg.

angle 2 is 90 deg.

angle 3 is 34 deg.

angle 4 is also 46 deg.

Calculate the expected Gain of Loss of stock ABC.
Please help if you can!

Answers

Answer: $11 gain

==================================================

Explanation:

Focus on the first row only. We won't worry about the other stocks.

Convert each of the percentages to decimal form

40% = 0.4015% = 0.1545% = 0.45

Then multiply those decimal values with their respective gains or losses.

Use a negative sign to indicate losses.

0.40*(-25) = -100.15*5 = 0.750.45*45 = 20.25

The last step is to add up each of the results to get the expected value.

-10+0.75+20.25 = 11

The result is positive, so it's a gain rather than a loss.

On average, we expect an $11 gain for stock ABC.

----------

Side note: Thank you for making the screenshot much more clear.

Answer:

$11 gain

Step-by-step explanation:

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