The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, they had to stop for the night having gone only 1/4 of the distance to the one-third point.
What fraction of the total distance did they travel the first day? Show your work and reduce to lowest terms.


Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk, then gave 3/4 of what was left to a calf.
How much of the bottle of milk did the calf drink? Show your work and reduce to lowest terms.

Nathan used 2(5/6) loaves of bread to make sandwiches for a lunch. He made equal numbers of 4 different types of sandwiches.
What fraction of a loaf of bread did Nathan use for each type of sandwich?

Answers

Answer 1

Answer:

A)

[tex]\displaystyle \frac{1}{12}[/tex]

B)

[tex]\displaystyle \frac{3}{5}[/tex]

C)

[tex]\displaystyle \frac{17}{24}[/tex]

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 of the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

[tex]\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}[/tex]

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

[tex]\displaystyle 1-\frac{1}{5}[/tex]

Of the bottle left.

Making common denominators and subtracting yields:

[tex]\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}[/tex]

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 of the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

[tex]\displaystyle \frac{3}{4}\times\frac{4}{5}[/tex]

Multiply:

[tex]\displaystyle =\frac{12}{20}=\frac{3}{5}[/tex]

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

[tex]\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}[/tex]

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

[tex]\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}[/tex]

So, Nathan used 17/24 loaves of bread per sandwich.


Related Questions

6/7 1/2 in simple form

Answers

Answer:

6/7 is 6/7 and 1/2 is 1/2 unless your trying to divide them then it would be 1 5/7

Step-by-step explanation:

For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate.
The graph shows how he calculates the cost of a babysitting job.
Drag numbers to complete a linear function in terms of x and y to model the situation.
Numbers may be used once, more than once, or not at all.
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Answer:

Can you add more to it because this does not make sense if they numbers are already on the chart what numbers can we use

Step-by-step explanation:

Answer:

y = 6x + 2

Step-by-step explanation:

I'm a math expert. If I helped you, give me brainliest.

Hector runs laps around the track. The table shows how long it takes him to run different numbers of laps. How long would it take Hector to run 7 laps?
A.35 minutes

B.25 minutes

C. 15 minutes

D. 45 minutes

Answers

You were supposed to put a picture of the graph
i don’t see a graph so i can’t answer

Timothy bought 10 cookies for $5.00.

Let x represent the number of cookies purchased, and let y represent the total cost.

Graph the line that represents the proportional relationship.

PLZ use this graph

Answers

Answer:

Below is the graph

Step-by-step explanation:

Try to make the line straight though! :)

Just at every 2 cockies put a mark

Lars did some research on how much it would cost him to buy a gym membership.

At Murfield Country Club, a membership costs $20. Every time Lars goes to the gym he must pay an additional $30/hour.
At Pete’s Gym, it would cost Lars $80 for 2 hours and $120 for 3 hours.
a) Which of the two companies charges no initial fee? How do you know?



b) What is the slope of each line? (Murfield Country Club and Pete's Gym).

Slope for Murfield Country Club =

Slope for Pete’s Gym =



c) Write the equation for each line. (Murfield Country Club and Pete's Gym).

Equation for Murfield Country Club =

Equation for Pete’s Gym =

Answers

Answer:

A. it would be Pete's gym because he doesn't have to pay for a membership as well as paying $30 per hour he only has to pay for the hourly cost.

B. Lars-starts at 20 then goes to 50 then 80 ect... goes up by 30 starting at 20 because of the membership he payed.

Pete's- starts at 0 then to 40, 80, 120, 160 ect... goes up by 40 starting at zero.

C. MCC- 20+(30*y)

PG- 40*y

Step-by-step explanation:

what is 8 5/6 x 15/20

Answers

Answer:

6 5/8

Step-by-step explanation:

It's free real estate bby gorl    

Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 1/3x+y=4
B) -1/3x=y=4
C) 6x+2y=4
D) -6x+2y=4

Answers

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132-3 838 38 383

2838440505

A circular swimming pool measures 79 feet around. What is the diameter?
A. about 200 ft
B. about 25 ft
C. about 50 ft
D. about 100 ft

Answers

Answer:

B. about 25 ft

Step-by-step explanation:

you have to add the numbers up a   4 tiems then your awnser comes in and if not multiply 79 2 times your welcome

Step-by-step explanation:

Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error?
Ankur multiplied the compatible numbers 15 and –3.
Ankur found that the quotient of a positive number and a negative number is negative.
Ankur found that the quotient of a positive number and a negative number is positive.
Ankur added the compatible numbers 15 and –3.

Answers

Answer:

123/78

Step-by-step explanation:

Answer:

its C, Ankur found that the quotient of a positive number and a negative number is positive.

Step-by-step explanation:

i got it right on edge

A school allots £2500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for
1/5off.
A train ticket for the day will cost £20 each.
If 3 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend

Step-by-step explanation:

someone help me please im very stuck

Answers

Answer:

(0,2)

Step-by-step explanation:

from y=mx+b to find the y intercept b

Answer:

y = -7

Step-by-step explanation:

It's a horizontal line so y is constant, it would be y = b because the slope is 0.

Since it passes through the point (5, -7) we can assume the line is at y = -7

Which of the following is a correct interpretation of the expression 2 - (-5)
A The number that is 5 to the left of 2 on the number line
B The number that is 5 to the right of 2 on the number line
C The number that is 2 to the left of -5 on the number line
D The number that is 2 to the right of -5 on the number line

Answers

Answer:

B

Step-by-step explanation:

when rewriting it, it would be 2+5 because subtracting a negative number is the  same as adding.

so it would be 5 to the right(since you are increasing/adding) to 2 (the beginning/starting point)

I believe B is the correct answer, I’m not sure so I’m sorry if it’s not.

This box is a right rectangular prism with a base that has dimensions of 6 m and 7 m. The volume of the box is 378 m3. What is the height of this box?

Answers

Answer:

29.07m³

Step-by-step explanation:

7+6=13

378÷13=29.07m³

Answer: 9

Step-by-step explanation:

i got it right

it costs $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lbs of walnuts?

Answers

Answer:

$6.75 I THINK

Step-by-step explanation:

I struggled to figure this out and I'm pretty sure its $6.75 but im not sure :(

I think 6.45 too
:)

Need help on
These 2 questions

Answers

Answer:

so the answer to the bottom problem is 69

hope this helped i use desmos scientific counculator

- the chair with internet

Twenty seven minus ten plus four



Because according to pendas parentheses come first before adding subtracting and multiplying!

A school is going on a field trip to the zoo. There were s amount of students. The tickets cost $15 each. The school ended up giving the zoo $2,550 for all of the tickets. Write and solve an equation to figure out how many students are going on the trip.

Step by step

Answers

15s=2550
(divide both sides by 15)
S=170
170 students went

Answer:

15 times x which would be the students   or you could do 2550 divided by 15 and you get 170 students

Step-by-step explanation:

Brad has walked 4/9 of his goal distance this month. If his goal is 27 miles, how many miles has Brad walked

Answers

Answer:

12 miles

Step-by-step explanation:

you would multiply 4/9 by 27 and you would get 12 miles in total.

12 miles !!!!!! Is correct :)

Jake and his older brother are canoeing in a creek near their home. If they paddle at a steady rate of 4 mph, how far will they travel in 3 hr.?

Answers

Answer:

12 miles

Step-by-step explanation:

mph = mile per hour

So if they travel 4 miles per hour, 4(3) = 12, they will travel 12 miles by 3 hours

Answer:

dude that's 12

Step-by-step explanation:

just multiply 4 mph times 3 hr

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Answers

Answer:

70

Step-by-step explanation:

The % itself stands for a ratio of 100, so 70% would be 70/100

Answer:

70/100

Step-by-step explanation:

This is because if you break down a percantage, it is just a fraction or decimal. The numerator is 70 because 70/100 = 0.7

0.7 is just the decimal form of the percent "70%"

Rewrite the expression in the form 5^n

(5^-8) (5^-10)

Please help :)

Answers

You re write the expression by using the negative exponent 1/5.18 or 10-13
I’m not sure but you have to rewrite it as like 1/5

Please help me I will give you the briain thing and extra points. (image below) 7/13

Answers

Answer:

it is B because the numbers are repeating on the y axis

does the table below represent a linear or nonlinear function?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

A linear function

Step-by-step explanation:

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Explain how you know if an ordered pair is a solution to an equation or not.
(Please use your words and math, with an example.)

Answers

Answer:

You can plug in the pair into the equation

Step-by-step explanation:

You take the ordered pair and plug it into the equation. If it matches, that is your solution

For example:  y=2x+1 .  Pair:  (1,3)

Plug 3 for y and 1 for x.  3=2(1)+1 is 3

Answer:

Just answering so you can give the other person brainliest

Step-by-step explanation:

What is the slope of the line through (-4,2)(−4,2)left parenthesis, minus, 4, comma, 2, right parenthesis and (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac57 7 5 ​ start fraction, 5, divided by, 7, end fraction (Choice B) B \dfrac75 5 7 ​ start fraction, 7, divided by, 5, end fraction (Choice C) C -\dfrac57− 7 5 ​ minus, start fraction, 5, divided by, 7, end fraction (Choice D) D -\dfrac75− 5 7 ​

Answers

Answer:

-5/7

Step-by-step explanation:

slope = (difference in y)/(difference in x) = (-3 - 2)/(3 - (-4)) =

= -5/(3 + 4) = -5/7

Answer: -5/7

Answer:

-5/7 that is the answer

Step-by-step explanation:

Help me, please Thanks

Answers

Answer:

3, 9618, 152

Step-by-step explanation: pemdas -> parenthesis, exponents, multiply, divide, add, subtract.

3 1918 152 is what i got
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