Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?

Answers

Answer 1

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.


Related Questions

PLEASE HELP!!!
Factorize x^2 -9

Answers

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

We know that;

a = 1

b = 0

c = -9

We also know that;

p*q = -9

p + q = 0

In this case, it would make the p value 3, and q value -3

The factorized form would be;

(x + p) (x + q)

=> (x + (3)) (x + (-3))

=> (x + 3) (x - 3)

So therefore, the factorized form;

(x + 3) (x - 3)

Hope this helps!

Answer:

the answer is (x + 3)(x - 3)

Please help

1< |x– 2| < 5

Answers

Answer:

[tex]1 < |x -2|< 5\\1< |x-2| = |x-2| > 1\\-1 >x-2 \ , \ x-2<1\\1>x \ , \ x >3\\\\|x-2|<5 = -5 < x-2<5 = -3 <X<7\\\\Therefore , by \ merging \ overlapping \ intervals \\\\-3<x<1\quad \mathrm{or}\quad \:3<x<7[/tex]




Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10
apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find the
cost each of one apple pie and one blackberry pie.

Answers

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

Find the area of a circle with the radius of 73 feet

Answers

Answer:

Step-by-step explanation:

area of a circle=πr^2

=3.14*(73)^2

=3.14*5329

=16733.06 ft^2

Answer:

A = 5329 pi ft^2

If we approximate pi with 3.14

A = 3.14*5329=16733.06 ft^2

If we use the pi button

A =16741.54725 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 73

A = pi ( 73) ^2

A = 5329 pi ft^2

If we approximate pi with 3.14

A = 3.14*5329=16733.06 ft^2

If we use the pi button

A =16741.54725 ft^2

Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?

Answers

Answer:  35 cupcakes!

Step-by-step explanation:

Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)

Answers

Answer:

Spent less than budget by $10

Step-by-step explanation:

→ Work out total budget

100 + 150 + 50 = 300

→ Work out total expenditure

95 + 175 + 20 = 290

Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J’ after a reflection over the y-axis?

Answers

Answer:

The Rule for reflection over the y-axis is given by (x,y) to (-x,y).

so, J' (-10,-8)

✐----------------------

hope it helps...

have a great day!

Answer:

J' Coordinates = (-5, -8)

Step-by-step explanation:

We know that in the coordinate point J (5, -8);

x-value = 5

y-value = -8

In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;

x-value = -5

y-value = -8

J' Coordinates = (-5, -8)

Hope this helps!

in a bag of keys there are 15 silver keys six black keys 11 copper keys and two painted keys of various colors. one key is drawn what is the probability that the key is silver or copper

Answers

Answer:

The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.

14/31= silver

6/31= black

8/31= copper

3/31= various colours.

As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.

This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.

Hope this answer helps you :)

Have a great day

Mark brainliest

Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!

Answers

Answer:

The length of side EF is 10 units.

If there is any specific measurement for each unit, multiply 10 by the measurement amount.

Answer:

10 units

Step-by-step explanation:

The side of EF is 10 units

The side of DE is 10 units

The side of DF is about 14.1 units

Anybody else panicking while trying to finish their classes?
(please say it's not just me)

Answers

Answer:

no it's me too haha

Step-by-step explanation:

yes currently i am taking my pre calc final and am definitely failing it

determine the value of x.. i will give brainliest

Answers

Answer:

Step-by-step explanation:

8x-1+6x+13=180 degree(being co interior angle)

14x=180-12

x=168/14

x=12

For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.

Answers

y= 2x^2 - 5x + 18 ? i don’t really know quadratic formula yet. but the answer might be that equation & x = 18

Assume the selling price of your house calculate the
commission amount of your house if the commission rate
is 5•/•​

Answers

Answer:

$14000

Step-by-step explanation:

Given that :

Commission 5% of sale price

Sale price of house = $280,000

Commission = 5% of $280,000

Hence,

Commission = 0.05 * $280,000

Commission = $14,000

What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab

Answers

Answer:

D. ab

Step-by-step explanation:

1/a + 1/b = b / ab + a / ab = (b + a) / ab

The common denominator is ab

Correct choice is D

Answer:D

Step-by-step explanation:

Which expression is equivalent to (3x + 4)(2x - 3)?

Answers

Answer:

Step-by-step explanation:

If there are choices, you should list them. It's a guess about which is correct. I'll list 2 of them.

(3x + 4)(2x - 3) can be

(2x - 3)(3x + 4) or

F: 3x*2x = 6x^2

O:3x * -3 = - 9x

I : 4 * 2x = 8x

L: 4 * - 3 = - 12

When added, you get

6x^2 -9x + 8x - 12

6x^2 - x - 12

Find the mean of this data set: 11, 13, 13, 11, 13

Answers

Answer:

I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen

Answer:

I'mnot really sure if it might be correct but I believe it's 12.2 :))

please help, I got 8 of these wrong already :(

Answers

Answer:

●{22,28,35} ○{5,12,13}○{25,70,74} ○{48,56,73}

The image below shows F with perpendicular tangent lines at points A and B.

Will be reported if you add something that does not match the question

Answers

Answer:

∠AFB= 90°  

∠ADB= 360-90

270Shape AFBC →is a Square because every angle is 90 degrees.

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

hope it helps...

have a great day!!

Use the given area A of the rectangle to find the value of x . A rectangle with its length labeled left-parenthesis 4 x plus 3 right-parenthesis feet and width labeled left-parenthesis 4 x minus 5 right-parenthesis feet. The area of the rectangle is 209 square feet.

Answers

Answer:

x = 4

Step-by-step explanation:

Length = (4x + 3) feet

Width = (4x - 5 )feet  

Area = Length x Breadth

209 = (4x + 3)(4x - 5)

209 = 4x( 4x -5) + 3 (4x -5)

[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]

[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]

Since measure of length or width cannot be negative, we take x = 4

Please help?!?!


Thanjss

Answers

Answer:

Step-by-step explanation:

y= mx+ b helps you find the equations of the lines

y= x+2 is the line with slope m=1, and y-intercept b=2

y= -4x-3 is the line with slope m=-4, and y-intercept b=-3

y > x+2 because is a dotted line

y ≤ -4x-3 because is a solid line

Answer:

aha i see yo bbg

Step-by-step explanation:

(lipbite)

Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%

Answers

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Find the volume of the cylinder when its height is 13 ft, and its radius is 12
ft. Round to the nearest tenth."

Answers

I think it’s 5878.08


V = pi * r^2 * h
= 3.14 * 12^2 * 13
= 3.14* 144 * 13
= 5878.08

PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!

Answers

Answer:

PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED

Step-by-step explanation:

10 points !
what is 20% of 30 ?

Answers

Answer:

6

Step-by-step explanation:

Of means multiply

20% * 30

Change to decimal form

.20 * 30

6

Answer:

6

Step-by-step explanation:

[tex]20\% \ of \ 30 = \frac{20}{100} \times 30 = \frac{1}{5} \times 30 = 6[/tex]

by how much is 113052 greater than 90486 class 4th math exercise 5c answer​

Answers

Answer:

22,566

Step-by-step explanation:

the answer can be determined by subtracting 90486 from 113052

113052 - 90486 = 22,566

In the image, point A is the center of the circle. Which two line segments must be equal in length?

Answers

The answer is C (EF and HI)

This is because both lines pass through the centre A, meaning both are diameters. Hence, they are equal in length.

Please help me for my cousin

Answers

all you have to do is plot the points to the corresponding numbers. for example, for the scorpions the number 55 is repeated three times so in the number line for the scorpions you’ll put 3 dots above the number 55

help mee please its math

Answers

Answer:

m<D = 34

Step-by-step explanation:

Exterior angles thm:

3x - 2 + 68 = 9x - 6

3x + 66 = 9x - 6

3x - 9x = -6 - 66

-6x = -72

x = 12

<D:

3x - 2

3(12) - 2

36 - 2

34

PLEASE HELP WILL GIVE BRAINLYIST!!!!!
Find the area of each figure.

Answers

Answer:

area of triangle=base*height/2

=4*5/2

=20/2

=10m^2

Step-by-step explanation:

hmm need help please

Answers

Answer:

Hello! answer: b = 5

Step-by-step explanation:

13 × 13 = 169 12 × 12 = 144 169 - 144 = 25 5 × 5 = 25 therefore b = 5 hope that helps!

12x12=144

13x13=169

169-144=25

5^2= 25

B=5 feet
Other Questions
ILL GIVE BRAINLIEST ILL GIVE BRAINLIEST!Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirrorimages of each other?. 0B. 1C. 2D. 3 Rachel wants to make sure that she uses effective communication skills at work. Which of the following is an example ofsomething she shouldn't do?When giving feedback, focus on the person, not the behavior.Restate what she heard the speaker say,Send positive messages through facial expressions.Reduce as many barriers as possible. Can someone help me with this question ? someone has a book into question tag The Aztecs built their empire's wealth by collecting ___ from conquered peoples.donationstributeloansmail What is the difference between diurnal and nocturnal.Diurnal means active at night Diurnal means awake during the day, and use the light to the advantage Nocturnal means awake during the day and use the light to their advantage Nocturnal means active at night Rewrite the expression in the form The value of which of these expressions is closest to e? PLEASE HELP ME !ASAP!!Q1)What is the sum of the finite arithmetic series 10, 8, 6, 4, ...24?show work !!Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work (b) factorise (3m-1)(6-a)-(m+3)(6-a) Employers often decide if they want to meet you based on your so it is very important to highlight your strengths.A. rsumB. referenceC. work history reportD. credit report The rate that a company must pay to obtain funds from creditors and stockholders is known as the Select one: a. hurdle rate. b. cost of capital. c. cutoff rate. d. All of these answers are correct. What is the main problem in this story?A Miller, His Son, and TheirDonkey-An Update what is the measure of Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filedagainst them. Quintin suspects that this figure is higher in his state. He obtains a random sample of recordsfor 500 officers from the approximately 20,000 officers in his state. He wants to use these data to testH : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who havehad a formal complaint filed against them.Which conditions for performing this type of significance test have been met? Read the sentence.Forced to sprint the length of the basketball court a dozen times, it was an especially tough practice.How should the sentence be rewritten to correct the dangling modifier?1. The players had an especially tough practice, forced to sprint the length of the basketball court a dozen times.2. Forced to sprint the length of the basketball court a dozen times, the players found practice to be especially tough.O 3. Forced a dozen times to sprint the length of the basketball court, it was an especially tough practice for the players.4It was an especially tough practice, forced to sprint the length of the basketball court a dozen times, for the players. Which of the graphs correctly shows the set {-7, -2, 7}? A) A B) B C) C D) D SmartSC purchases from Supplier A are priced at $30 each and used at the rate of 600 units per month. Components purchased from supplier B are priced at $6 each and are used at the rate of 3000 units per year. The annual holding cost is 30 percent of the items value. If SmartSC purchases separately from the two suppliers, the fixed ordering cost for supplier A is 40 dollars each time. What is the economic order quantity for supplier A?a) 125b) 200c) 253d) 367 Which is a complete sentence?The skinniest boy in townO 2 Paul laughed.O 3. Following the blue arrows.04 When Mother was in high school On Sunday Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg of plant food on his strawberry plants and used 1/4 kg of plant food on his tomato plants.