Abby counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils . Each small box contains 24 boxes. Estimate the total number of of pencils. Explain why it might be better to have an underestimate rather than an overestimate.

Answers

Answer 1

Answer:

2,160 pencils

Step-by-step explanation:

Large boxes = 12

Small boxes = 18

Each large box contains 144 pencils . Each small box contains 24 pencils

Total pencil in large boxes = Total large boxes × number of pencils per box

= 12 × 144

= 1,728 pencils

Total pencil in small boxes = Total small boxes × number of pencils per box

= 18 × 24

= 432 pencils

Estimate the total number of of pencils

Total number of pencils = total pencils in large boxes + total pencil in small boxes

= 1,728 pencils + 432 pencils

= 2,160 pencils

It is better to have an underestimate than an overestimate so that you won't disappoint your buyers when they request for a quantity of supply. If it is underestimated; you can meet demand, if it is overestimated; you can't meet demand


Related Questions


For the following scatter plot, interpret the type of trend the
data set will hold.

1.Positive

2.Negative

3.No trend

Answers

Positive because if you drew a line of best fit through the plot, it’s slope would be positive

1. A local pizzeria sold 65 pizzas yesterday.

(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.

(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Answer:

Answers

Part 1

Pizzas sold last day = 65

Increasement needed in sale = 20%

pIzzas to be sold today

= 65 + 20% of 65

= 65 + 20/100 × 65

= 65 + 1/5 × 65

= 65 + 1/1 × 13

= 65 + 13

= 78

Part 2

Pizzas sold last day = 65

Pizzas sold today = 60

60 = 65 + x% of 65

60 = 65 + x/100 × 65

60 - 65 = x/20 × 13

- 5 = x/20 × 13

-5/13 = x/20

-5/13 × 20 = x

-7.692 = x

Therefore, there was a decrease in pizza sale by 7.692%

By rounding off,

The decrease in pizza sale was by 7.700%.

= 7.7%

Heloooooppppo
Question 2 of 10
What happens when a country's central bank increases reserve requirements
for banks?
A. Banks are forced to set aside more of their money instead of
lending it.
B. Banks must pay the government interest on all cash they keep on
hand.
C. Banks must pay a higher interest rate to borrow money from the
government
D. Banks are required to sell all of their treasury securities on the
open market
SUBMIT

Answers

Answer: Banks are forced to set aside more of their money instead of lending it.

When the country's central bank increases reserve requirements

for banks so here bank should be forced for setting aside.

What are reserve requirements?

It is the amount of funds where the bank should hold the reserve to ensure for meeting out the liabilities when the withdrawals should be done. It is applied by the central bank to rise or reduce the money supply and impact the rate of interest.

Hence, When the country's central bank increases reserve requirements

for banks so here bank should be forced for setting aside.

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What is the vertex of y = -3(x + 5)+ 7
O (5, 7)
O (-5, 7)
O (5, – 7)
NEED HELP PLS

Answers

Answer:

Its (-5,7)

Step-by-step explanation:

When you plug it into a calculator the vertex point ends up in (-5, 7)

Classify the variable represented by the weight of a student at the high school. (check all that apply)

A. qualitative
B. discrete
C. infinite
D. finite
E. continuous
F. quantitative

Answers

Answer:

B, D, and F I'm pretty sure

Step-by-step explanation:

Which two expressions are equivalent to each other?

Answers

Answer:

The answer is 8^11/8^5 and 8^3×8^3

8^11/8^5= 262144

8^3×8^3= 262144

can someone help me with this question

Answers

Answer:

the answer is B i think

Step-by-step explanation:

Answer:

IN field B he has 6 more gallons then in felid A.

Step-by-step explanation:

PLZ HELP WITH THIS. WILL GIVE BRAINLIEST TO BEST ANSWER
You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person. When you check the company’s website, you find that they also offer a special group rate. The group rate is only $8.99 per person, but also includes a $20 reservation fee in addition to the cost per person. What is the maximum number of people for whom the regular admission price would be a better deal than the group rate?

Answers

Answer:

only one more person to get back up to regular price

Step-by-step explanation:

J don’t even really know

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 79 degrees

Step-by-step explanation:

Vertically opposite angles are exactly the same. In this case M<AED and M<IEF are vertically opposite from each other.

Answer:

79°

Step-by-step explanation:

[tex] m\angle AED = 79\degree \\ .... (given) \\\\

\because m\angle IEF = m\angle AED \\ ... (Vertical \:\angle 's) \\ \\

\therefore m\angle IEF = 79\degree[/tex]

tired of being single, but how do u do this problem?

Answers

Answer:

ok that is so hard I CAN not do it

Answer:

i am tired of being single but i do not no at all that seems really hard i feel bad for u

Step-by-step explanation:

Here are 2 similar rectangles

Answers

Answer: There are none to choose from

Step-by-step explanation:

You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?

Answers

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

[tex]y = 300 - 16t^2[/tex]

Required

Solve for t when height is 11ft

This implies that [tex]y = 11[/tex]

So: substitute 11 for y in [tex]y = 300 - 16t^2[/tex]

[tex]11 = 300 - 16t^2[/tex]

Collect Like Terms

[tex]16t^2 = 300 - 11[/tex]

[tex]16t^2 = 289[/tex]

Express both sides as squares

[tex]4^2 * t^2 = 17^2[/tex]

[tex](4t)^2 = 17^2[/tex]

Take square roots of both sides (ignore negative)

[tex]4t = 17[/tex]

Solve for t

[tex]t = \frac{17}{4}[/tex]

[tex]t = 4.25[/tex]

Hence, time to land on 11ft is 4.25 seconds

HELP QUITCKLY
combine like terms to create an equivalent expression to 8(8+7J+8).

Answers

Answer: 56j + 128

Step-by-step explanation:

Answer:

56J+128

Step-by-step explanation:

8(8+7J+8)

64+56J+64

56J+128

What is the value of x? Please provide an explanation, thanks!

Answers

Answer:

28

Step-by-step explanation:

What you do is add up 42 and 76, then you subtract that from 180, because all triangles add up to 180. the subtracted amount is what z equals. Then since its a straight line you know it adds up to 180. You add z (62) and 90 because its a right angle. then you subtract 180 by 152 to get 28.

brianliest pls

Help me with this please!

Answers

Answer:

6.25x+4.50x=550

6.25x+4.50(45)=550

6.25x+202.50=550

6.25x+202.50-202.50=550-202.50

6.25x=347.50

6.25x÷6.25=347.50÷6.25

x=55.6

she could get 55 adult size T-shirts

I hope this is good enough:

Helpp

Electrician A charges an initial fee of $40 and then $20 per hour. Electrician B charges an initial fee of $50 and then $19 per hour. Write equations for both Electricians.

Answers

Answer:

Electrician A- $40*$20h

Electrician B- $50*$19h

Step-by-step explanation:

Christopher is deciding between two landscaping companies for his place of business.
Company A charges $30 per hour and a $200 equipment fee. Company B charges
$50 per hour and a $100 equipment fee. Let A represent the amount Company A
would charge for t hours of landscaping, and let B represent the amount Company B
would charge for t hours of landscaping. Write an equation for each situation, in
terms of t, and determine the number hours, t, that would make the cost of each
company the same.
A=
B=
Answer:

Answers

Answer:

A=30t+200

B=50t+100

The number of hours,t, that would make the cost of each company the same is 5.

30(5)+200= A

  150+200=350

50(5)+100= B

  250+100=350

Step-by-step explanation:

The time required in hours for the cost for both the companies to be the same is 5 hours.

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

From the given information the total cost C in terms of t for company A is,

C = 30t + 200 and for company B is, C = 50t + 100.

Therefore, the number of hours when  the cost of each company would be the same is,

30t + 200 = 50t + 100.

30t - 50t = 100 - 200.

- 20t = - 100.

20t = 100.

t = 10/2.

t = 5 hours.

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Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(

Answers

Divide both sides of the equation by the same term
5
=
2

5
=
2
M
5=2M
5
2
=
2

2
5
2
=
2
M
2
25​=22M​


5=2

On Melissa's 6th birthday, she gets a $4000 CD that earns 6% interest, compounded quarterly. If the CD
matures on her 16th birthday, how much money will be available?

Answers

Answer:

On melissa's 6th birthday, she gets a $4000 cd that earns 3% interest, compounded quarterly. If... | like | dislike ... The amount accumulated in a certificate of deposit (CD) is found using the compound interest formula as a CD also earns compounding interest. ... The number of years between the 6th and 12th birthdays is 6

Step-by-step explanation:

There will be $41142.87 available on Melissa's 16th birthday.

What is compound interest?

Interest accrued on both the principal sum of money and the interest already earned.

The formula for compound interest is p(1+r/100)ⁿ - p

Where p is principal, r is rate and n is time.

Given that,

Amount that Melissa gets on her 6th birthday = $4000

Rate of interest = 6% compounded quarterly.

Melissa gets amount on her 16th birthday, time = 6 years

The amount that Melissa will get on her 16th birthday

= 4000(1+6/100)¹⁰ˣ⁴

= 4000 (106/100)⁴⁰

= 4000 x 10.2857

= 41142.87

Melissa will get $41142.87 on her 16th birthday.

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Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?

How many packages of pasta?

How many jars of pasta sauce?

Explain your reasoning.

Answers

Answer:

8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total

Step-by-step explanation:

8 pack of pasta is 8$ and 8lbs

8 jars of sauce is 24$ and 12lbs

8 plus 12 is 20 which is the max of lbs Tyler can carry.

Evaluate each value expression for the given value of the variable : 33-7w +6 when w=4

Answers

Answer:

11

Step-by-step explanation:

33-(7*4)+6

33-28+6=11

I need help please help me.THANKS!!

Answers

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

or

42 + 120 = 162

Solve for X. x/4+9=5

Answers

x/4 + 9 = 5
x/4 = 5-9
x/4= -4
x = -4* 4
x = -16
the answer is -16

x/4+9=5
(x/4+9=5)4
x+36=20
x=-16

For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.

Answers

Answer:

612.44

Step-by-step explanation:

Given the linear regression equation between SAT score and GPA

y = 410.54 + 67.3x

Where

y = SAT math score ; x = GPA

THE SAT math score for Jessica who has a GPA of 3.00

x = 3

y = 410.54 + 67.3(3)

y = 410.54 + 201.9

y = 612.44

THIS IS URGENT, IM ABOUT TO START CRYING!!!
The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −5
0 −1
1 3
g(x)

g(x) = 4x + 3



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

PART A:

Finding the slope of the function f(x)

Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)

Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)

Slope =

Slope of f(x) = 5

The function g(x) is given in the straight line equation form

Where,  is the slope and  is the y-intercept

Slope of g(x) = 2

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

g(x) = 2x + 8

Where, the slope (m) = 2 and the y-intercept (c) = 8

The y-intercept of g(x)  is 8

for f(x), we can read the y-intercept when x = 0.

From the table, when x = 0, y = -10

The y-intercept of f(x) is -10

Function g(x) has higher y-intercept

Deandra spent $14.00 of the $20.00 in her wallet. What decimal is equivalent to the fraction of the $20.00
Deandra spent?

Answers

Answer:

0.7

Step-by-step explanation:

i converted the fraction 14/20 to decimal form lol

"A square is a rectangle with four congruent sides" (write this statement in each of the forms below)
O hypothesis
O conclusion
O conditional
O inverse
O Converse
O contrapositive
O and biconditional ​

Answers

Answer:here

Step-by-step explanation:

here is the key

A teacher divided 60 stickers among 3 students in a ratio of 2:3:5. How many stickers did each student receive?

Answers

Answer:

12:18:30

Step-by-step explanation:

I do RSM too, have a good day :)

The number of stickers did each student receive get is 12, 18 and 30 respectively.

Given that, a teacher divided 60 stickers among 3 students in a ratio of 2:3:5.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 2+3+5=10

Number of stickers student 1 get

= 2/10 × 60

= 12

Number of stickers student 2 get

= 3/10 × 60

= 18

Number of stickers student 3 get

= 5/10 × 60

= 30

Therefore, the number of stickers did each student receive get is 12, 18 and 30 respectively.

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If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a showing? (Do not include labels with your answer, just type in the number.)

Answers

The answer would be 3900 money

If f(x)=13x3−4x2+12x−5 and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is

Answers

The correct format of the question is

If f(x)= [tex]\frac{1}{3}x^3 -4x^2+12x -5[/tex] and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is

Answer:

The absolute maximum value of the function F(x) occurs when x is 9

Step-by-step explanation:

F'(x) = [tex]x^2 -8x +12= 0[/tex]

      = (x-6)(x-2) = 0

      x = 2,6

so we have boundary points 0 , 9 and 2,6

The value of function at these four points

  x =     0    2       6     9

F(x) =  -5    17/3   -5     22

So the absolute maximum value of the given function is x = 9 and F(x) is 22.

The absolute maximum value of the function f occurs when x is 9 and this can be determined by differentiating f(x) and then equating it to zero.

Given :

[tex]\rm f(x)=\dfrac{1}{3}x^3-4x^2+12x-5[/tex]The domain is the set of all x such that 0≤x≤9

In order to determine the absolute maximum value of function f(x), differentiate f(x) and then equate it to zero.

[tex]\rm f'(x)=\dfrac{1}{3}\times(3x^2)-8x+12[/tex]

Now, equate the above equation to zero.

[tex]x^2-8x+12 = 0[/tex]

Factorize the above quadratic equation.

[tex]x^2-6x-2x+12=0[/tex]

x(x - 6) - 2(x - 6) = 0

(x - 6)(x - 2) = 0

Now, determine the value of f(x) at x = 0, 2, 6, 9

f(0) = -5

f(2) = 1/3.(8) - 4(4) + 12(2) - 5

f(2) = 17/3

f(6) = 72 - 144 + 72 - 5

f(6) = -5

f(9) = 243 - 324 + 108 - 5

f(9) = 22

So, the absolute maximum value of the function f occurs when x is 9.

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