A pie can be cut into seven pieces with three straight cuts. What is the largest number of
pieces that can be made with eight straight cuts?
A. 29
B. 33
C. 37
D. 41​

Answers

Answer 1

Answer:

You have to think in three dimensions to answer this properly. The relative size of the pieces was never specified, so let’s start with the first three cuts:

Cut 1: No specified angle—-but it’s vertical and along a diameter (assuming a circular pie): 2 pieces.

Cut 2: Perpendicular to Cut 1; also vertical: 4 pieces.

Cut 3: Horizontal across the midline of the pie: 8 pieces.

Cuts 4 and 5: Diagonally—from either end of cut 1 on top to the opposite sides on the bottom (they intersect at the center): 16 pieces.

Cuts 6 and 7: Diagonally from the ends of cut 2 (similar to cuts 4 and 5): 32 pieces.

Cut 8: The exact angle is unimportant—it’s difficult if not impossible to cut more than half of the pieces. So of 32, 16 are split, leaving a grand total of 48 pieces.

There could very well be a way to make more than 48 pieces, but I would have written that one if I’d thought of it.

Step-by-step explanation:

Answer 2

With eight straight cuts, approximately 18 pieces of pie can be made.

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that a pie can be cut into seven pieces with three straight cuts.

With three straight cuts, the number of pieces would be seven.

With 1 straight cut, the number of pieces would be 7/3.

With 8 straight cut, the number of pieces would be 7/3 x 8 = 56/3 = 18.6

Therefore, with eight straight cuts, approximately 18 pieces of pie can be made.

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Related Questions

Aye please help! It is a late assignment I missed math class so please helppp!

Answers

Answer:

$3

Step-by-step explanation:

When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.

11.87 ≈ 12

Amount each friend will pay ≈ 12÷4

                                               = 3

Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 13 days. About what percentage of births would be expected to occur more than 39 days after the mean pregnancy​ length?

Answers

Answer:

just getting points i hope u find the answer tho

Step-by-step explanation:

Select all that apply.

A graph shows _____ in picture form.


variables
facts
color
statistics
sums
data
Note: There is not just one answer

Answers

I think statistics and data hope that helps

What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020

Answers

The coordinate of point B is approximately (-1.5, 3.5).

find the missing lengths and leave answers as radicals in simplest form

Answers

Answer:

x=8[tex]\sqrt{3}[/tex]

y=8

Step-by-step explanation:

lmk if you need work

7 identical taps can fill 3 identical tanks in 45 min. How long it will take 5 of the taps to fill one of the tanks?

Answers

Answer:

21 minutes

Step-by-step explanation:

Given that:

7 identical taps fill 3 identical tanks in 45 minutes

Since the taps and tanks are identical :

Hence, the 7 taps can fill 1 tank in :

45 /3 = 15 minutes

Therefore, 1 tap will fill 1 tank in :

7 tap = 15 minutes

1 tap = (15 * 7) = 105 minutes

Hence, 5 taps will fill 1 tank in :

105 minutes / 5

= 21 minutes

twenty students went to a fast food restaurant everyone ordered a hamburger and a drink hamburgers cost 3.25 each and drinks cost 1.15 each

Answers

What are you trying to ask?

convert 6 2/5 to a percent?

A) 6.4%
B) 64%
C) 640%
D) 6,400%​

Answers

Answer:

C) 640%

Step-by-step explanation:

6 2/5

Convert it to an improper fraction -

6 2/5 = 32/5

Convert the improper fraction to a decimal -

32/5 = 6.4

Multiply 6.4 by 100

= 640%

Hope this helps :)

Answer: Oooohhhh, I knew the answer the answer is 640%.

Step-by-step explanation: So start by separating the parts: [tex]6+\frac{2}{5}[/tex],

Then I know that [tex]\frac{2}{5} = 2/5[/tex],

∴ [tex]6\frac{2}{5} = 6+(2/5)[/tex],

Then I use The Long Division for 2 divided by 5, so I have [tex]6+0.4=6.4[/tex],

And last but not least is onverting our number to a percentage: [tex]6.4*10=640%[/tex] (Rounded to a Max of 2 Decimal Places.), so I hope this formula could be helpful, but if you have struggle to convert the mixed number fraction to percentage, please ask me, okay? :)

The pie chart shows information about pupils in KS3 at a school Altogether, there are 200 pupils in ks3 a) How many pupils are in year7? b) how many pupils are in year 9

Answers

Answer:

a) 75

b)25

Step-by-step explanation:

Answer:

a) 75

b)25

Hope this helps

To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.

Answers

Answer:

t≤4

Step-by-step explanation:

58.40≥36+5.60t  

Solve like any equation

58.40≥36+5.60t  subtract 36 from both sides

22.40≥5.60t  divide by 5.60

t≤4

In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.

Answers

Answer:

12 measures

Step-by-step explanation:

Step 1:

64 : 8        Ratio

Step 2:

64 : 8 = 96 : x         Equation

Step 3:

64x = 768       Multiply

Step 4:

x = 768 ÷ 64       Divide

Answer:

x = 12

Hope This Helps :)

Write each decimal as a percent: 2.65

Answers

Answer:

0.0265

Step-by-step explanation:

Express the following to percentage into fractions.​

Answers

Answer:

65.2/100

Step-by-step explanation:

1/5 = 0,2

then:

65 1/5 = 65 + 0.2 = 65.2

65.2/100

Step-by-step explanation:

[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]

it comes to 325

The number 1.255 is an example of a terminating or repeating
decimal number?

Answers

Answer:

Terminating

Step-by-step explanation:

Since the number ends exactly after 3 decimal places, it is a terminating decimal number.

On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.

So, the number 1.255 is terminating.

By visual inspection, determine the best-fitting regression model for the data plot below.

Answers

Answer:

Quadratic

Step-by-step explanation:

It looks like it’s forming a very wide arch so quadratic formulas are arches

The equation of the regression line model for the data plot determines a quadratic equation

What is linear regression line?

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

Let the linear regression line be represented as A

Now , the value of A is

Let the first coordinate on the graph be P ( 1 , 5.5 )

Let the second coordinate on the graph be Q ( 2 , 6 )

And , the data plots on the graph represents a curve or parabolic equation

So , it is a quadratic equation

Hence , the data plot of the regression line is quadratic

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6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Y=4x +2
Y = 4x+0.5
y=-2x + 2
Y=3X-10​

Answers

Answer:is this a quiz

Step-by-step explanation:

?

situation: the ratio of my friends that like basketball to the ratio of my friends that don’t like basketball is 41:30. This means that 41 out of my 71 friends like basketball. 57.74% of my friends like basketball and 42.26% of my class doesn’t like basketball.

question: if the ratio stayed constant for the whole school, what would your equivalent ratio be with a new total of 310 total people?

Answers

Answer:

17.9:13

Step-by-step explanation:

I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.

The number of students who like basketball:

310 x 0.05774 = 17.9

The number of students who don't like basketball:

310 x 0.04726 = 13

Hope this helps! :)

Answer:

17.9:13

Step-by-step explanation:

This is the answer

Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?

Answers

Answer:

6%

Step-by-step explanation:

I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.

Answer:

6%

Step-by-step explanation:

108           x%

-------  =   --------

225          100%

calculeaza aria unu paralelogram cu latura 3 radical 2 cm si inaltimea 2cm

Answers

Answer:

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Step-by-step explanation:

Folosind formula:

Aria unui paralelogram = (baza x înălțimea)

                                       = (3√2 x 2)

                                        [tex]=6\sqrt{2}[/tex]

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Answer:

6 radical din 2

Step-by-step explanation:

aria paralelogram=b. h =3 rad 2 . 2=6 radical din 2 cm partati

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

how do you solve this? ​

Answers

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.

Answers

Answer:

131,040

Step-by-step explaination:

There is around 29-31 days in a month, so if you just round it's around 30 days a month.

30×6= 180 (days)

180×728= 131,040 ounces

jasons dog would drink 131,040 in 6 months.

Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.

Answers

Answer:

22%

Step-by-step explanation:

Given that:

Number of hours at work daily = 8 hours

Number of days at work per year = 240

Total number of hours at work per year = Number of hours at work daily [tex]\times[/tex] Number of days at work per year

Total number of hours at work per year = 8 [tex]\times[/tex] 240 = 1920 hours

Total number of days in an year = 365

Total number of hours per day = 24

Total number of hours in an year = 24 [tex]\times[/tex] 365 = 8760

Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.

Therefore, the required probability is:

[tex]\dfrac{1920}{8760} \approx \bold{0.2191}[/tex]

Therefore the probability to the nearest percent is: 22%

what is the slope of the line in the graph below

Answers

Answer:

-2

Step-by-step explanation:

The slope of the line is where the -2 is. The line passes through it.

Yvonne paid $18.72 for 8 gallons of gas.
She then passed by another gas station
advertising it for $2.29 per gallon. How much
money would she have saved if she had
waited and purchased it at the other location?

Answers

Answer: 0.40 cents
Explanation: 18.72 / 8 = $2.34 per gallon, 2.34 - 2.29 = $0.05 per gallon , $0.05 x 8 gallons = 0.40 cents

HELP PLEASE

Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given

Answers

Answer:

The 1st the 3rd and 4th are the answers

Step-by-step explanation:

Edgen


there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?

Answers

Answer:

112

the answer is 112 :)))))

BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?

Answers

Answer:

1. The speed of the truck, S = D/T.

2. The formula that connects D and T is: S = D/T.

3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.

Step-by-step explanation:

a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance.  This implies that speed is a function of distance and time.  However, this formula represents the mean speed.  There are variations in speed.

b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.

Evaluate -(7^-3)(7^5)

Answers

Answer:

Step-by-step explanation:

Answer:

-49

Step-by-step explanation:

it is really hard to type using this keyboard..but am sure d answer is -49

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