There will be 6 people at Eli's cake party. You want to bake enough cake so that each person you feed will eat at least 1/5 of the cake. What is the minimum number of cakes to bake?
Please put the procedure with operations used. :(​

Answers

Answer 1

Answer: 2 cakes.

Step-by-step explanation:

There will be a total number of 6 people at Eli's cake party.

You want that each one of these 6 people to eat at least 1/5 of a cake.

Then you need to make, at least, 6 times 1/5 of a cake.

This is equal to:

6*(1/5) of a cake = 6/5 of a cake.

And we can rewrite this as:

(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.

But you can not bake only 1/5 of a cake, we need whole numbers.

Then we need to round up to the next whole number, which is 2.

This means that you need to bake at least 2 cakes.


Related Questions

The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 

Answers

Answer:

[tex]f'(x) = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x[/tex] --- Nickel to Penny

Required

Determine the function that converts penny to nickel

This question implies that we determine the inverse of the function.

We have:

[tex]f(x) = 5x[/tex]

Represent f(x) with y

[tex]y = 5x[/tex]

Swap the positions of x and y

[tex]x = 5y[/tex]

Make y the subject by dividing both sides by 5

[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]

[tex]\frac{1}{5}x = y[/tex]

[tex]y =\frac{1}{5}x[/tex]

Replace y with f'(x)

[tex]f'(x) = \frac{1}{5}x[/tex]

Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]

Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.

Answers

Answer:

7 1/2 miles

Step-by-step explanation:

Which inequality represents the sentence below?
Two more than a number is less than 14.
0 2+ns 14
O 2+n< 14
O 2+ n2 14
O >
2+n> 14

Answers

The second one 2 + (number) < 14

Answer:

it is b

Step-by-step explanation:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52. The model has a length of 3 in.


What is the length of the actual car? Enter your answer in feet.


The actual car is ___feet long.

Answers

Answer:

13 feet

Step-by-step explanation:

3 inches times 52 equals 156.

156 divided by 12 equals 13.

The length of the actual car if The ratio of the model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches, is 13 feet.

What is the scale factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized. It is employed to change the size of an object.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

Given:

The ratio of a model car's dimensions to the actual car's dimensions is 1/52, The model has a length of 3 inches,

Calculate the actual length of the car as shown below,

Models car length / The actual length of the car = 1 / 52

3 / The actual length of the car = 1 / 52

The actual length of the car = 3 × 52

The actual length of the car = 156 inches

The actual length of the car = 156 × 0.0833 feet  (1 inch = 0.0833)

The actual length of the car = 13 feet

Thus, the actual car is 13 feet long.

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It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in a county, how many of them are homes without children?

Answers

Answer: x = 2,340 homes without children

There are 2,340 homes without children.

Step-by-step explanation:

'x' represent the number of homes without children

'y' represent the number of homes with children

x : y = 9 : 7

Since the total number of homes is 4160 means x + y = 4160.

From x + y = 4160 follows y = 4160 - x.

Plug y = 4160 - x into x : y = 9 : 7

x : (4160 - x) = 9 : 7

What is the equation of the line? (Lol please answer I didn’t pay attention in class)

Answers

Answer: Y=1/2+2

Why? You find the slope of the line but picking one point the intersects directly on a point then rise up and over to find the next point that intersects directly on a point so I used point 0,2 and rise 1 and over 2 to get to point 2,3.
Slope= rise/run so it’s 1/2
And the last number in the equation is the y intercept because Y=mx+b
M=slope
B= y intercept
The y intercept is 2

Hope this helps (if I need to explain better just comment on this and I can try)

Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms

Answers

Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

A statistics student wants to determine if there is a relationship between a student's number of absences, x, and
their grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students
15
1
0
6
9
12
3
3
1
2
7
0
4
Number of
Absences
GPA
2.1
4.3 4.5
3.2
4.0
1.7
3.8
2.9
3.6
3
3.4
2
2.6
3.1
2.8
Using technology, what is the equation for the least-squares regression line?
O ý= 3.79 -0.10x
O ý= 0.10 + 3.79x
O ý= 16.15 – 3.28x
O ý= -3.28 + 16 15x

Answers

Answer: A. ÿ=3.79-0.10x

Step-by-step explanation:I’m a genius

The price of an Item has been reduced by 70%. The original price was $90. What is the price of the item now?

Answers

Answer:

The price of the item is $27.

Step-by-step explanation:

$90 is reduced by 70% means: $90 - 0.70*$90 = (1 - 0.70)*$90 = 0.30*$90 = $27. The price of the item is $27 now.

Answer: 63

Reason: My brain

321. The lanes on the circular outdoor track are one meter wide. By running in the lane next to the innermost lane, Corey ran extra distance in an eight-lap race. How much

Answers

Length of first (inside) lane = 2πr
Length of second lane = 2π(r+1) = 2πr + 2π
8(2π) = 16π units

b(x)=[x+4], what is b(-10)?​

Answers

Step-by-step explanation:

b(x) = x + 4

b( -10) = - 10 + 4

= - 6

Hope it will help :)❤

Answer:

-6

Step-by-step explanation:

b(-10) = -10 +4

= -6

The graph below represents a function.

what are the rate of change and the initial value of the function represented by the graph

A.the rate of change is 3 and the initial value is 5

B.the rate of change is 1/3 and the initial value is 5

C.the rate of change is 5 and the initial value is 3

D.the rate of change is 5 and the initial value is 1/3​

Answers

Answer:

B

Step-by-step explanation:

Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )

a. 11
b. 20
c. 9
d. 10

Answers

Answer:

9

Step-by-step explanation:


I need help ASAP with both

Answers

Answer:

No for the first one, yes for the second.

Step-by-step explanation:

Plug in the given numbers and see if it works.

15(1) + 3(4) = 10

15 + 12 = 10.

27 ≠ 10

Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.

Now for the second problem, do the same thing.

10 = 1 + 9.

This is true, but remember to check the second equation just to be sure.

10 = 4(1) + 6

10 = 4 + 6

This is also true, so it (1,10) is a solution for the second system of equations.

Laura received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.96 per pound. After buying the coffee, she had $56.13
left on her card. How many pounds of coffee did she buy?

Answers

Answer:

Step-by-step explanation:

Hi.

I can help.

First what we want to do is take what she had before spending any money and then take what she had after.

So :

$80.00

and

$56.13

Now to find how much she spent we can subtract these two numbers like so :

80.00 - 56.13

=

23.87

So now we know she spent a total of $23.87 on coffee in pounds.

Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.

So:

23.87 / 7.96

=

About 3

She bought 3 pounds of coffee.

Hope this helps,

Have a great weekend

I need question 4 and 5

Answers

Answer:

4) x=14

Step-by-step explanation:

multiply the area by 2 to get 140then devide by 10 to find x

The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.

Answers

Answer:

its b

Step-by-step explanation:

Elena swan 14 laps in 42 minutes.how many minutes per lap did Elena swim?round your answer to two decimal places must be a decimal answer.

Answers

Answer: 4

Step-by-step explanation:

Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median

Answers

Answer:

Sample median appears to be an unbiased estimator of the population median

Step-by-step explanation:

The sample median appears to be centered near 16

The required sample median appears to be an unbiased estimator of the population median

What are dot plots?

A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.

Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.

When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.

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f(x) = -4x2 + 5x
Find f (6)

Answers

You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)

What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units

Answers

Answer:

169 units

13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

What is the distance between two points?

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The coordinate of the points is given below.

(4, 3) and (9, 15)

Then the distance between the two points (4, 3) and (9, 15) will be given as,

D² = (9 - 4)² + (15 - 3)²

D² = 5² + 12²

D² = 25 + 144

D² = 169

D = 13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

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Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)

Answers

nswer:

 (x +5)^2 = -2

Step-by-step explanation:        w t f

We can subtract the constant to get ...

 x^2 +10x = -27

Then add the square of half the x-coefficient:

 x^2 +10x +5^2 = -27 +5^2

 (x +5)^2 = -2 . . . . . . write as a square

help me do this please!!!

Answers

Answer:

Step-by-step explanation:

ok soo....

the area of the one like higher up would be 42

and then the area of the one like landscape would be 48

and then the area of like the box they make in the middle is 30

so ya i hope this helped

Steph had 24 cards . He gave 4 cars to his brother. Then he passed the rest of the cars out equally among 4 of his friends. Which operation would you use to represent he first part of this situation

Answers

Answer:

16 is the answer

I hope this answer help you

Answer:

Subtract 4 1st

Step-by-step explanation:

Subtract 4 of the cars since he gave them to his brother then divide between 4

-2 - 5r = 18
help mee

Answers

Answer:

r = -4

Step-by-step explanation:

-2 - 5r = 18

+2         +2

––––––––

-5r = 20

/5     /5

––––––

-r = 4

/-1  /-1

–––––

r = -4

X 1. Solve the equation
Atun
(x + 2) = 20

Answers

Answer:

hi

Step-by-step explanation:

Answer:

18 ?

Step-by-step explanation: What is Atun ?

Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126

Answers

Answer:

The third term of a proportional is: 84

Step-by-step explanation:

We know that if a, b, c and d are in proportion, then:

a × d = b × c

In our case, we are given the first, second, and fourth terms are 24, 36, 126.

a = 24

b = 36

d = 126

and we have to determine the third term 'c'.

as we know that  if a, b, c, and d are in proportion, then:

a × d = b × c

Thus,

substituting a = 24, b = 36, d = 126 to determine

24 × 126 = 36 × c

c = (24 × 126)/36

c = 3024/36

c = 84

Thus, the third term of a proportional is: 84

What is the solution to the system of linear equations graphed below?

Answers

Answer:

Step-by-step explanation:

The solution is the point where the lines intersect! (3.5,-4)

when the denominators are the same, the fraction with the _____ is the largest fraction ​

Answers

Bigger numerator

Means bigger fraction

When the denominators are the same, the fraction with the bigger numerator is the largest fraction .​

What is the fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.

Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .​

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The value of y varies directly with x and y= 7.2 when x= 1.6, find y when x=2.4 ​

Answers

Answer:

When x = 2.4, we have y = 10.8

Step-by-step explanation:

A direct variation of two variables, x, and y, can be written as:

y = k*x

Where k is a constant, called the constant of variation.

We know that y = 7.2, when x = 1.6

Then we can replace these two in the above equation to get:

7.2 = k*1.6

Now we can solve this for k:

7.2/1.6 = k = 4.5

Then our relation is:

y = 4.5*x

Now we want to find the value of y, when x = 2.4

Then we just need to replace x by 2.4 in the above equation:

y = 4.5*(2.4) = 10.8

y = 10.8

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