A mug is 3/7 full. The mug contains 4/7 of a cup of water. Find the capacity of the mug.

Answers

Answer 1

Answer:

7/6 cups

Step-by-step explanation:

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups


Related Questions

Please please please help me please

Answers

Answer:

Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.

These are integer sequences.

The sum of the two previous terms can be represented by:

fn = fn-1 + fn-2.

These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.

Ln = { 2 if n = 0

1 if n = 1

Ln-1 + Ln-2 if n > 1

________________

Fn+1 + Fn-1 = Ln

___________________

f(0) = -1

f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11

________________________________

f(12) = 199

________

f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....

given f(n) = f(n-1) + f(n-2)

____________________

f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =

f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =

f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =

f(10) + f(11) = f(12) →

f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =

7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =

47 + [76] = 76 + [123] = 199

_____________________

Explicit formula

for n is an integer.

Nth term of the lucas sequence.

As you can see, the golden ratio

( 1 + √5 / 2) appears in here.

L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹

Three sisters are saving for a special trip . The ratio of Nora​'s savings to Helga​'s savings is 8:3 and the ratio of Helga​'s savings to ​Maurice's savings is 3:4. Together all 3 have saved ​$60. How much has each ​saved?

Answers

Answer:

X = 10.588

Y = 28.2

Z = 21.176

Step-by-step explanation:

Consider Nova savings as X

Helga is Y

Maurice is Z

As per first ratio we conclude 8X=3Y

Second ratio we conclude 3Y = 4Z

We deduce 8X = 4Z

Last sentence => X+Y+Z=60 multiple it by 3

=> 3X + 3Y + 3Z= 180 but 8X = 4Y

=> 3X + 8X + 3Z =180 => 11X + 3Z=180 multiple the equation by 4/3

44/3 X + 4Z = 240 but 4Z = 8X

=> 44/3 X + 8 X = 240

=> 68/3 X = 240

=> 68X = 720

=> X =10.588

And Y=8/3 X =28.2

And Z=3/4 Y = 21.176

The Amar family drives 90 miles in 2 hours, as shown on the double number line below.

image 05c5e308c558498fa8ba743ccde15e1d

At this rate, how many hours will it take the family to drive 225 miles?
A.
2.5 hours
B.
5 hours
C.
6 hours

Answers

Answer:

oh nah 1.98

Step-by-step explanation:

Answer:  45

Step-by-step explanation:

divide 90 by 2

middle school math

100 POINTS! MUST EXPLAIN ANSWER!

Answers

Answer:

Answer: A and B.

Step-by-step explanation:

Supplementary angles are a pair of angles that add 180 degrees.

A. Show two angles that form a 180 degree angle, so they are supplementary.

B. This angles add 180 degrees, so they are supplementary.

C. The two angles add 90 degrees, so they are complementary, not supplementary.

D. This angles add 90 degrees, so they are complementary, not supplementary.

Answer and Step-by-step explanation:

Answer:

Answer: A and B.

Bit by bit clarification:

Valuable points are a couple of points that add 180 degrees.

A. Show two points that structure a 180 degree point, so they are beneficial.

B. This points add 180 degrees, so they are beneficial.

C. The two points add 90 degrees, so they are reciprocal, not valuable.

D. This points add 90 degrees, so they are reciprocal, not beneficial.

Determine whether the fractions are equivalent 27/48 and 18/28

Answers

Answer:

They are not equivalent

Step-by-step explanation:

27/48 and 18/28 are not equal

What is the range of : 4,3,3,15,28

Answers

range is biggest-smallest so
28-3
The range is 25

A terabyte holds about one trillion bytes of information. How many bytes can 2000 terabytes
hold?

Answers

Answer:

About 2,000,000,000,000,000 bytes :)

Step-by-step explanation:

I need answer I’m being timedddd

Answers

Answer: 0

Step-by-step explanation: Good luck! :D

The answer is either 0 or 1

Help me please i font get it

Answers

Answer:

the last one, w-9

Step-by-step explanation:

plug in the given (9) for w and solve

Hope this helps :)

Answer:

Step-by-step explanation:

9-9=0 not 14

so w-9 is not a solution

3. Makayla wants to solve the quadratic equation 6x2 – 27x=15 by factoring.
Which expression could be one of the factors?
A. 32
B.x +5
C. 2x +1
D. 2x -9
E. 2x +5

Answers

ANSWER: I’m pretty sure it’s D. 2x-9

EXPLANATION: factor out 3x from 6x2-27x=15 to get 3x(2x-9)=15. So, 2x-9 is one of the factors.

Use the table to answer the question below.
.
0
2
1
8
2.
32
3
128
4
512
Which of these best represents the function shown in the table?
f(x) = 2(4*)
0
f(x) = x + 2
f(x) = 6x + 2
f(x) = x5

Answers

Answer:

c: f(x) = 2(4^x)

Step-by-step explanation:

the table shows that the function is exponential rather than linear.

The best that represents the function shown in the table;

c: f(x) = 2(4^x)

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical.

Thus, the table shows that the function is exponential rather than linear.

We are given the table through which we have to make a function.

The function becomes as;

[tex]f(x) = 2(4^x)[/tex]

This function shows exponential rather than linear.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ7

GIVING ALOT OF BRAINS FAST!

Brendon is building a clubhouse where 11 inch on the plans is equivalent to 88 inches on the actual clubhouse.




If the clubhouse is to be 160 inches wide, what will the width be on the plans?




Round answer to the nearest hundredth if necessary.

Answers

20

160/8=20

88/8=11

i hope this one helps !!

Answer:

20,020 in. on the plans

Step-by-step explanation:

To get from 11 in. to 88 in. (from plans to real life), you multiply by 8.

Therefore, to get from 160,160 to ?? (from real-life to plans), you would divide by 8.

160,160 / 8 = 20,020

To check, you can multiply 20,020 by 8 to go from plans to real-life measurements; 20,020 • 8 = 160,160)

quick question
Jeremiah is knitting hats for his friends. He has 2 balls of yarn. He uses
1/3
of a ball for each hat. How many hats can Jeremiah make?
Write your answer as a fraction or a whole number.

Answers

6, cus 1 ball=3, 3x2=6

The list of numbers 41, 35, 30, X, Y, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean od the list?

Answers

Answer:

1.2

Step-by-step explanation:

1.Arrange the numbers in order by size.

15,20,25,30,35,41

2.If there is an odd number of terms, the median is the center term.

with these numbers they are even (6 numbers total)

3.If there is an even number of terms, add the two middle terms and divide by 2.

30 ÷ 25=1.2

HELP HELP PLSSSSSSSSS

Answers

Answer:

9) c) 1

10) c) 215

Step-by-step explanation:

Step:1

Given that the expression

      [tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]

Put r = 9

 =    [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]

 =  [tex]\frac{40}{2} -\frac{76}{4}[/tex]

=   20 - 19

=1

Step(ii):-

Given that

[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]

Put r = 9

=  [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]

=  20 + 13(15)

= 215

A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to
water?
O 2 to 9
O 3 to 8
03 to 9
O. 9 to 3

Answers

0.9 to 3 is the answer

Answer:

3 to 9 I guess...................

Help needed!
-Thanks​

Answers

Answer:

the answer is C.

Step-by-step explanation:

the sum of the problem is 8.164.... so 8/C is the answer

Answer:

Point C

Step-by-step explanation:

[tex]\sqrt{38}[/tex] = 6.16441400297 + 2 = 8.16441400297

and point C is the closest to that so 3rd choice is answer

How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3

Answers

Answer:

it is one to the right and 5 up compared to its parent function.

Step-by-step explanation:

the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.

how do you draw a linear graph equation for y=7​

Answers

Answer:

wait pag iisipan ko that konting saglit

Answer:

line going left and right on the 7 in the y axis.

If for every 12 blue streamers there is 9 gold streamers, how many blue streamers will I have if I have 36 gold streamers?

Answers

Answer:

You will have 48 blue streamers.

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

We have that:

For 12 blue streamers, there are have 9 gold streamers. How many blue streamers are there when there are 36 gold streamers?

12 blue - 9 gold

x blue - 36 gold

Applying cross multiplication

[tex]9x = 36*12[/tex]

Simplifying by 9

[tex]x = 4*12 = 48[/tex]

You will have 48 blue streamers.

The radius of a circle is 9.6 in. Find the circumference to the nearest tenth.

Answers

Answer:

19.2

Step-by-step explanation:

9.6*2=19.2

A patterb calls for 2 1/4 yards of material and 1 1/4 yards of lining

Answers

Answer:

the total number of fabric need is 3 and 1/2 because 2 1/4 and 1 1/4 equals 3 1/2.

Which of the following would typically not be paid through an escrow
account?
A. PMI
B. Homeowner's insurance
C. Utility bills
D. Property taxes
Help

Answers

Answer:

C. Utility bills.

Answer: utility bills

Step-by-step explanation:

Please help me solve this!!


Bobby rode his skateboard 4 miles 30 rode her bicycle 10 miles in minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer.

Answers

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

[tex]Distance =4\ miles[/tex]

[tex]Time = 30\ minutes[/tex]

Abelito

[tex]Distance = 10\ miles[/tex]

[tex]Time = 48\ minutes[/tex]

Required:

Who had a greater average speed

Average speed (S) is calculated as:

[tex]S = \frac{Distance}{Time}[/tex]

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

[tex]S_B = \frac{4\ miles}{30\ minutes}[/tex]

Convert minute to hour

[tex]S_B = \frac{4\ miles}{0.5\ hr}[/tex]

[tex]S_B = 8mph[/tex]

For Abelito

[tex]S_A = \frac{10\ miles}{48\ minutes}[/tex]

Convert minute to hour

[tex]S_A = \frac{10\ miles}{0.8\ hr}[/tex]

[tex]S_A = 12.5mph[/tex]

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

Today, 6 friends went out for lunch. Their total bill was $50.41 , including tax and gratuity. One of them ordered only soda and needed to pay only $1.71 . The other 5 friends ordered the same daily special. How much did each of the other friends need to pay?

Answers

Answer:

50.41 minus 1.71 is 48.70 divided by 5 is 9.74

Calculate the range and the mean of:
14, 8, 32, 8, 6, 4​

Answers

Answer:

Range: 28

Mean: 12

Step-by-step explanation:

First line the numbers from small to big: 4, 6, 8, 8, 14, 32

Range is biggest minus smallest number

Mean is just the average: all the numbers' sum divided by the number of numbers

Hope this helps! ;)

To get the mean you add up the numbers and divide it by how many numbers there are so:
14+8+32+8+6+4 = 72
72/6 = 12
Therefore the mean is 12

To get the range, you do the highest number minus the lowest number so:
32-4 = 28
Therefore the range is 28 as that is the difference between the highest and lowest number

I NEED ASAP
Clarence made a diagram to compare codominance and incomplete dominance. Which label belongs in the area marked Y? Neither allele is dominant. An intermediate phenotype is expressed in offspring. One allele is dominant over the other. Both dominant alleles are fully expressed in offspring.

Answers

Answer:

The correct answer is both dominant alleles are fully expressed in offspring.      

In the incomplete dominance inheritance, one allele is not completely expressed over its paired allele and forms an intermediate trait, whereas in co-dominance, both the alleles express completely resulting into a new phenotype. For example AB blood group in humans.  

In the given question Y is the intersection of co-dominance set and incomplete dominance set. Thus, the area Y may have one dominant allele from co-dominance and one allele which is not completely dominant from incomplete dominance.

Therefore, the label to marked area Y may be - both dominant alleles are fully expressed in offspring.      

Step-by-step explanation:

yw

tu respuesta es d que tengas un buen día

Daniel bought a total of 8 pounds if peanuts and cashews. Peanuts, p, cost $2 per pound and cashews, c, cost $5 per pound. The total amount Dani spent on the peanuts and cashews was $25. Which system of equations could be solved to find how many pounds kf peanuts dani bought
A.{2p+5c=25
p+c=9

B.{5p+2c=25
p+c=8

C.{2p+5c=8
p+c=25

D.{2p=8
5c=25 ​

Answers

Answer:

I believe the answer is C.

Step-by-step explanation:

given we have peanuts to be $2 per pound, and cashews $5 per pound. If we use the equation p+c=25 then p would be (2×10=20), and c would be (5×1=5). then, to solve the problem we would do p+c=25 which p would be 20, and c would be 5, then add and it would equal 25.

Picture Added Triangles
AA
SSS
SAS
Not Similar

Answers

Answer:

Not Similer

Step-by-step explanation:

we can use the process of elimination, first AA isn't it because the corresponding angles arn't equal, next SSS itsn't it because we don't know the side lengths, and lastly SAS isn't it because we still don't know the side lengths.

the amount of gasoline at a gas station changes from 58,432.4 gallon to 56,475.2 gallon from 2:00 pm to 4:00 pm. what rational number represent the average​

Answers

Answer:

I take it you mean the average gallons lost an hour, in which case you would do 58,432.4 - 56,475.2 to get 1,597.2 to which you divide by 2 getting your final answer of 978.6

Answer:

978.6

Step-by-step explanation:

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