Joel has just moved to a new town and wants to share plates of baked goods with his
neighbors. He has 20 cookies and 5 brownies to share and wants to split them equally
among the plates with no food left over. What is the greatest number of plates he can make to share

Answers

Answer 1

Answer:

Marta can arrange a maximum of 3 plates.

Solution:

Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.

She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.  

We have to find what is the greatest number of plates she can make to share?

Now, let the number of brownies per each plate be n.

Then, number of plates used =  

Here, n is number of brownies per plate and  is number of cookies per plate.

So, both n and  should be whole numbers. Then, for  to be whole number 6n must be an multiple of 5.

And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.

So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15

In order to arrange in more plates we have to take less count in single plate. Then, n = 5.

Now, number of plates  

Hence, Marta can arrange a maximum of 3 plates.


Related Questions

what is the answer to 2/5+5/10=

Answers

Answer:

[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10

[ Hope that helped :) ]

kids is that 500 5902.3 is equal to 519 when rounding off to the nearest ten she drop 2 to because it is less than 5 do you agree with answer explain your answer​

Answers

Answer:

5192.3 rounded off to nearest ten

Step-by-step explanation:

We get the number:

51903 dropped as a decimal fraction smaller than 12 dropped and replaced with zero as we round of to tenkids missed to replace 2 with zero and lost unit digits by doing that

TELL ME IF IM CORRECT

You paint 1/3 of a wall in 1/4 of an hour. At that rate, how long will it take you to paint one wall?

Answers

Answer:

45 minutes

Step-by-step explanation:

1/4 of an hour is equal to 15 minutes

15 * 3 = 45

The answer is 45 minutes

It takes you 45 minutes to paint one wall.

a. is the value of the expression (1/4 ^-3)^-2 greater than 1 equal to 1 or less than 1
b. if the value of the expression is greater than 1 show how you can change one sign to make the value less than 1, show how you can change one sign to make the value greater than 1 if the value is equal to 1 show how you can make one change to make the value not equal to 1
please I need an answer quick ._.

Answers

A.

[tex]((1/4)^{-3})^{-2} = (1/4)^{(-3)*(-2)}=(1/4)^6<1[/tex]

So it is less than 1

B.

We can change -3 to 3 or -2 to 2.

This will result in:

[tex](1/4)^{-6}=4^6 >1[/tex]

(a) The value of given expression "((1/4)⁻³)⁻²" is less than 1, and (b) To make value greater than 1, change second exponent to positive; to make it equal to 1, change first exponent to 0.

Part (a) : Starting from the innermost exponent, (1/4)⁻³ simplifies to 4³, which is 64.

So, ((1/4)⁻³)⁻² becomes (64)⁻², which is 1/4096. Since 1/4096 is less than 1, the value of the expression is less than 1.

Part (b) : To change the value to greater than 1:

Change the second exponent to a positive value, making it ((1/4)⁻³)²,

This simplifies to (4³)², which is 4096.

To change the value to equal 1:

Change the first exponent to 0, making it ((1/4)⁰)⁻². This simplifies to (1)⁻², which is 1.

Learn more about Expression here

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Find the volume of this
prism.

Answers

32 is the volume of the prism count up and you’ll figure it out

Answer:

Volume of the prism =area of base*height

=[3*3+3*6]*9

=243 cm³

Alternate

Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³


Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?

Answers

Answer:

from the little i can see, they are all correct

A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $

Answers

Answer:

3000

Step-by-step explanation:

5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?

Answers

The answer is 4

And how did you not learn this in Highschool

Evaluate.
8(19−6⋅2)
Enter your answer in the box.

Answers

Answer:

102.4

Step-by-step explanation:

Open the bracket

19-6.2=12.8

8(12.8)

8*12.8=102.4

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

6

Step-by-step explanation:

Hope it helps pls mark brainliest if you would

Select the correct answer from each drop-down menu. Four water tanks can hold a total of 4324 gallions of water. On average, how much water can one tark hold How much water is in a tanks half full gallons of water One tank can hold an average of gallons of water. A half-fulltank will hold​

Answers

Answer:

If you divide 4324 by 4 you get 1081 so one can hold that much and if it is half you divide 1081 by 2 and you get 540.5

Hope this helps!

I agree with the other comment I can’t comment under the comment

Polynomials

Multiply ( 4x2 – 3)(x + 8)

Answers

Answer:

(4*2-3)(x+8)

(8-3)(x+8)

8(x+8)-3(x+8)

8x+64-3x-24

8x-3x+64-24

5x+40

EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!

Answers

Answer:

The choice b.

[tex] \sin \: A = \frac{4}{5} [/tex]

Step-by-step explanation:

sinA = opposite/hypotenuse

[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]


Equivalent fractions

Answers

Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.

Step-by-step explanation: Hope this help. hit me up if u need some more help

Answer:

1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48

2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24

3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12

4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36

5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27

Step-by-step explanation:

The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.

For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.

Hopes this helps you!

Find the x- and y-intercepts of the graph of the function f(x)=−4|x+5|+8 .

Answers

Answer:

x-intercept(s): (−3,0),(−7,0)

y-intercept(s): (0,−12)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute i 0 for x and solve for  y.

In the function. Y+3=(2x)^2+1 what effect does the number 2 have on the graph as compared to the graph y=x^2

A.it stretches the graph vertically by a factor of 2

B. It stretches the graph horizontally by a factor of 2

C. It shrinks the graph vertically to 1/2 the original height


D. It shrinks the graph horizontally to 1/2 the original width

Answers

Answer:

C

Step-by-step explanation:

What is the range of the function y=7^(x+4)-4? *

Answers

Answer:

The graph on the y-axis.  All real numbers ( any negative number and any positive number)

Step-by-step explanation:

help for brainliest please

Answers

Answer:

2nd option: P'Q'=16.8 mm

Step-by-step explanation:

Translating vertically just means the graph shifted up or down in the direction of y axis, it will not change the shape or size of the original graph.

Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table

Answers

Answer:

lu have to ask mss v for the question

I need help . Thanks

Answers

Answer:

ok wait babalik ako kunin love lang

Which two numbers on the number line have an absolute value of 1.25?



Select the location of both numbers on the number line.

Answers

Answer:

-1.25

Step-by-step explanation:

Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1

Answers

Answer:

x= -1,  y = 6,  z = 3

Step-by-step explanation:

let me solve it with Gaussian Elimination

plz i need help walk me through it, thanks​

Answers

Answer:

[tex]p=36^{\circ}[/tex]

Step-by-step explanation:

We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].

Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].

We combine like terms on the left side to get [tex]p+144=180[/tex].

We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].

So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!

Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.

A(1,1)
B(3,1)
C(2,3)

Answers

Step-by-step explanation:

Dilation :

the scale factor is 3 and the center of dilation is the origin.

A(1,1) => A'(3, 3)

B(3,1) => B'(9, 3)

C(2,3) => C'(6,9)

The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

What is a transformation?

On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.

As per the given question,

We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.

A(1,1) → A'(3, 3)

B(3,1)→ B'(9, 3)

C(2,3) → C'(6,9)

Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

To learn more about the transformations click here :

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6g = -86; g= -16
Need help

Answers

Answer:

6g = -86

Divide each term in 6 g = − 86 by 6 and simplify.

Exact Form: g = -43/3

Decimal Form: g = −14.¯3

Mixed Number Form:

g = −14 1/3

—————————————————————

g= -16

Vertical line at x = −16


One number is seven less than six times another number. If the sum of the numbers is 56, find the numbers.

Answers

Answer:

The answer is 2

Step-by-step explanation:

You need to find out what is 56 divided by 6 which is 9. Then subtract, 9-7 which equals 2. So the answer is 2.

Find the slope of (3,-2) and (4,4)

Answers

Answer:

0

Step-by-step explanation:

You and your friends Jose and Sarah all live on the same street. You know that Jose lives 7 blocks away from you. Jose says that Sarah lives 6 blocks from​ him, but he​ didn't say whether she lives closer to you than he does or further. Let represent the number of blocks from you that Sarah might live.

Answers

Answer:

farthur

Step-by-step explanation:

please help me with this sum​

Answers

Answer:

Step-by-step explanation:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP

Answer:

153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67

Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?

Answers

Answer:

1kg of onion is $1.5

Step-by-step explanation:

He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:

10 - 1.5 = $8.50

Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):

x -0.5 = y

x - y = 0.5  ---- Eq 1

Equating the total costs:

2x + 3y = 8.5 ---- Eq 2

Multiplying Eq 1 by 2:

2x - 2y = 1 ---- Eq 1'

Subtracting Eq 2 from Eq 1':

2x - 2x +3y - (-2y) = 8.5 - 1

5y = 7.5

y = 1.5

Substituting this into the first equation:

x - 1.5 = 0.5

x = 2

Hence,

the cost of the Potato is $2, and

the cost of the Onion per kg is $1.5

Hope this helps, and have a wonderful time ahead on Brainly!

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