Answers
[tex] \frac{1}{8} [/tex] ÷ [tex] \frac{6}{1} [/tex]
[tex] \frac{1}{8} [/tex] ⋅ [tex] \frac{1}{6} [/tex]
1⋅1=1
8⋅6=48
= [tex] \frac{1}{48} [/tex]
Dividing 2 fractions = multiplying the first one by the inverse of the second.
The inverse of 6/1 is 1/6, then
(1/8) ÷ (6) = (1/8) x (1/6) = 1/48
Related Questions
Is 13/16 rational or irrational
Answers
The number 13/16 is a rational number because it can be expressed as a ratio of two integers.
Explanation:The number 13/16 is a rational number. A rational number is any number that can be expressed as a ratio of two integers, where the denominator (the number below the division line) is not zero. In this case, the number 13/16 can be expressed as a ratio of two integers: 13 and 16. Therefore, 13/16 is considered to be a rational number, not an irrational number. In contrast, an irrational number cannot be stated as a ratio of two integers. Examples of irrational numbers include the square root of two and pi.
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Cole said that 555 rounded to the nearest ten is 600. What is Cole's error? explain.
Answers
Hope this helps!
1.3 puzzle time what happens when a frog double- parks on a lily pad
Answers
The answer is it‘s toad away.
The following are the values of each number:
5 – Infinitely many solutions
7 – 30
3 – 54
11 – 42
2 – no solution
10 – 35
4 - -0.64
8 - -18.4
9 – 3
1 – 12
7 – 72
see attached file for the chart of the values.
A pizza bot travels at an average rate of 4 mph it is sent on a delivery toy house 1.5 miles away how long will it take the bot to make the delivery every time back to the restaurant
Answers
Time needed= distance traveled / average velocity= 2*1.5mi / 4mph= 0.75 hour= 45 minutes
The pizza bot will take approximately 22.5 minutes to make the delivery and return to the restaurant.
Explanation:To calculate the time it will take the pizza bot to make the delivery and return to the restaurant, we can use the formula:
Time = Distance / Speed
In this case, the distance is 1.5 miles (one way), and the speed is 4 mph. So, the time it will take for the pizza bot to make the delivery and return to the restaurant is:
Time = 1.5 miles / 4 mph
Time = 0.375 hours
Therefore, it will take the pizza bot approximately 0.375 hours, or 22.5 minutes, to make the delivery and return to the restaurant each time.
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Is this function or non function
Answers
How does the product 110 x n compare to the product 11 x n?
Answers
So 110*n is ten times bigger than 11 * n.
rule and missing number what would it be
Answers
13 × 8 =104
22 × 8 = 176
44 × 8 = 352
So, 36 × 8 = 288
A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift? Enter your answer in the box. parts per shift
Answers
2 parts per second so 2 x 60 = 120 parts per minute
120*60 = 7200 parts per hour
7200 x 10 = 72,000 parts per 10 hour shift
How can I graph and make a table with Y=3 ?
Answers
Slope:0
Y-intercept:3
A square rug has an area 100 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
The rug has side length______ft.
Answers
it is a rational answer
The side length of the square rug is 10 feet and it is a rational number since it can be written as a ratio of two integers.
Explanation:The area of a square is computed by squaring the length of one of its sides. The area of the rug is given as 100 square feet. Therefore, we can set up the following equation to find the side length:
S^2 = 100
Where 'S' represents the side length. To solve for 'S', we take the square root of both sides of the equation.
Therefore, S = √100
The square root of 100 is 10, so the side length of the rug is 10 feet.
Therefore, the rug has a side length of 10 ft. Since '10' can be expressed as a ratio of two integers, it is a rational number.
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Tom drove 130 Miles at the speed of 65 mph, and then 200 more miles at the speed of 30 mph. What was his average speed for the entire trip?
Answers
The average speed for the entire trip is 38.06 mph
What is Average Speed?
The total distance traveled divided by the total time spent traveling. This will give you your average speed.
S = d₁ + d₂ ... + dₙ / t₁ + t₂... + tₙ
Given data ,
d₁ = 130 miles
d₂ = 200 miles
S₁ = 65 mph
S₂ = 30 mph
t₁ = d₁ / S₁
t₂ = d₂ / S₂
And , t₁ = 130 / 65 = 2 hours
t₂ = 200 / 30 = 6.67 hours
Therefore , Average Speed = Total distance travelled / Total time taken
=d₁ + d₂ / t₁ + t₂
= 330 / 8.67 mph
= 38.06 mph
Hence , the average speed for the entire trip is 38.06 mph
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A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes. Numerical Answers Expected!
Answers
in 25 minutes...
25 * 2 = 50 holes in 25 minutes <==
50 holes is your answer.
What is the rational number equivalent to 3.24 repeating?
A. 3 6/97
B. 3 28/99
C. 3 8/33
D. 3 10/32
Answers
Answer:
C
Step-by-step explanation:
Took the test got it right
Find the values of x and y.
a) x = 20, y = 7
b) x = 10, y = 8
c) x = 50, y = 40
d) x = 10, y = 12
Answers
9x = 90
x = 10
10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
y = 12
answer
d) x = 10, y = 12
Please help with this question! xx
Answers
110 inches cost $6.60 so the point (x,y) = (110, 6.60) is on the line
125 inches cost $7.50 so the point (x,y) = (125, 7.50) is on the line
We only need two points form this line. Let's find the slope
m = (y2-y1)/(x2-x1)
m = (7.50-6.60)/(125-110)
m = 0.90/15
m = 0.06
The slope is 0.06 meaning that each additional inch costs $0.06 (6 cents) extra.
In other words, the cost is 6 cents per inch.
Plug (x,y) = (110, 6.60) and m = 0.06 into the equation below to solve for b. This will get us the fixed cost
y = mx+b
6.60 = 0.06*110+b
6.60 = 6.60+b
6.60-6.60 = 6.60+b-6.60
0 = b
b = 0
So the fixed cost is 0 which makes sense. If you buy 0 inches of wire (i.e. you don't buy anything) then you don't pay anything.
Therefore the cost function is f(x) = 0.06*x which can be written as y = 0.06*x
------------------------------------------------------------------------
We're told that "Emily needs 23 feet of wire" so we need to convert that feet measurement into inches before we can use the function. The reason why is because x is length in inches (not feet).
23 feet = 23 feet * (12 inches/1 foot) = 23*12 = 276 inches
so in short, 23 feet is equivalent to 276 inches
This means x = 276 and y is...
y = 0.06*x
y = 0.06*276
y = 16.56
Emily will spend 16.56 dollars for her wire.
------------------------------------------------------------------------
Andy needs 14 yards. We'll have to convert from yards to feet
14 yards = 14 yards * (3 feet/1 yard) = 14*3 = 42 feet
14 yards = 42 feet
Then convert that feet measurement to inches
42 feet = 42 feet * (12 inches/1 foot) = 42*12 = 504 inches
So overall,
14 yards = 504 inches
Now we can use the function
y = 0.06*x
y = 0.06*504
y = 30.24
Andy will spend 30.24 dollars for his wire.
Side Note: Andy will spend 13.68 dollars extra compared to Emily (since 30.24-16.56 = 13.68). So Andy spends more. Which makes sense given how Andy needs 504 inches of wire compared to Emily's needs of 276 iches of wire.
The graph shows the cost for cherries and apples.
Which statement is true about the unit costs shown in the graph?
The unit cost for cherries is greater because the slope is greater than the slope for apples.
The unit cost for cherries is greater because the slope is less than the slope for apples.
The unit cost for apples is greater because the slope is greater than the slope for cherries.
The unit cost for apples is greater because the slope is less than the slope for cherries.
Answers
Answer:
The unit cost for cherries is greater because the slope is greater than the slope for apples.
Explanation:
Slope is the rate of change of a line. The slope of the graph for cherries is greater; we can see this because the line is steeper.
Since the slope is greater, the unit cost is greater.
The statement that represents the unit cost in the graph is that the unit cost for cherries should be more as the slope is more than the slope for apples.
The following information should be considered:
Slope refers to the changing in the rate with respect to the line.Also, the graph slope for cherries should be more as there is a steeper line as compared with the apple one.Also, if the slope is more, so the units cost should be more that means there is a direct relationship between each other
Therefore we can conclude that the first option is correct.
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what is 6 and 2/3 - 4 and 1/2
Answers
1/2 x 3 = 3/6
4/6 - 3/6 = 1/6
6-4 = 2
2 and 1/6
Mix # to improper #
20/3-9/2
Find common denominator
20/3×2/2= 40/6
9/2×3/3=27/6
40/6-26/6= 13/6
Simplify
Answer: 2 1/6
hope that helps :)
Sam's credit card balance is less than -$36 does Sam owe more or less than $36?
Answers
Please help ASAP 15 pts
Write the ratio $12 dollars for 3 tickets as a unit rate.
Answers
or 4 dollars per ticket.
what is the slope of the line whose equation is 4y-6x+16=0
Answers
Order the following numbers from least to greatest: 10 to the 5 power, 10 to the -9 power, 10 to the -17 power, 10 to the 14 power, 10 to the -5 power and 10 to the 30 power
Answers
10 to the -17 power = 0.0000000000000001
10 to the 5th power =1000000
10 to the -14 power = 100000000000000
10 to the 30 power= 1000000000000000000000000000000
To order the numbers, compare the exponents of 10. The higher the exponent, the greater the number.
Explanation:To order the numbers from least to greatest, we need to understand the concept of integer powers. In this case, the numbers are in the form of 10 raised to a certain power. We can compare the numbers by looking at the exponent of 10. The higher the exponent, the greater the number.
Here is the ordering from least to greatest:
10 to the -17 power10 to the -9 power10 to the -5 power10 to the 5 power10 to the 14 power10 to the 30 powerLearn more about Ordering numbers here:https://brainly.com/question/3729546
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What is the greatest common factor of 49 and 84?
Answers
What's 7712 divided by 32
Answers
= 7712/32= 241
First divide by 2 to give
3856/16
Divide again by 2 =
1928/8 and again by 2
964/4 and again by 2 to give
482/2 and divide by 2 again to give 241
Find the value of x. Then the measure of each angle
Answers
110+5x+2x=180
110+7x=180
7x=70
x=10
Then plug in the x value into each angle expression
5(10)=50 degrees
2(10)=20 degrees
Please help me D: I just took 20 points away from me
Answers
you will cut the figure into six shapes. You will have two (4 by 3) squares and four (4 by 1 divided by 2) triangles.
Next, you multiply 4 by 3 and get 12 then multiply again and add both of the area of the two squares. the area for the squares is 24 in total.
finally, you will see that the four half figures left make two full figures. then you can multiply 4 times 1 and get 4 . add 4 plus 4 and get 8.
the area of the figure as a whole is 24 plus 8 which is 36.
For number two please do the following...
you will multiply the length times the width which in this case is 14 times 32
the area for the parallelogram is 448.
For number three please do the following...
you will do something similar to number one
you can try this by yourself. :)
For number four please do the following....
you will multiply 11 times 20
the area of the big triangle is 220
then all you need to do is find the area of the smaller triangle and add both triangles together.
explain why the gcf of two numbers is sometimes 1
Answers
Answer:
The number 1 is common factor between any set of numbers, but, sometimes is the only common factor.
Step-by-step explanation:
This happens when the numbers do not have common prime factors, like 5 and 7.
Since 1 is a prime number, you can consider it the common primer factor of every set of numbers.
Remember:
If 'a' is a number, a prime factor of it would be 1, since a*1=a
Density is equal to mass divided by volume. The mass of a metal is 10.34 g. Its volume is 1.83 ml. Calculate its density. Use the proper number of significant figures.
Answers
Density = 5.65027
Significant figures is based on the lowest digit that was divided, which is to the hundredth unit.
In conclusion, the density is 5.65 g/ml^3
Answer: 5.65 g/ml
Step-by-step explanation:
The density of a substance is given by :-
[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]
Given : The mass of a metal is 10.34 g. Its volume is 1.83 ml.
Then, the density of substance will be :-
[tex]\text{Density}=\dfrac{10.34\ g}{1.83\ ml}\\\\\Rightarrow\ \text{Density}= 5.65027322404\ g/ml[/tex]
Since , the significant figures depend on the dividend .
Here the dividend (10.34) is hundredth unit.
Then, the [tex]\text{Density}== 5.65027322404\approx5.65\ g/ml[/tex]
Write your own story problem using mixed numbers that need to be scaled up. The problem should
have at least five mixed numbers that will be scaled up. Be sure to show all your work, explain your
steps in your solution (including changing improper fractions to mixed numbers), and write a complete
answer to your problem. Your answer should include units for the mixed numbers, if needed.
I do not understand the question, I cannot conduct a problem can somebody just give a mixed number problem or whatever and I will calculate it on my own. I am not asking you to do my work just to give me an example of what my teacher wants.
Thanks
Answers
1+1/2+2+2/3+3+2/3+4+2/3+2+1/2 = 6/6 (finding the least common multiple of 1, 2, and 3)+3/6+12/6+4/6+18/6+4/6+12/6+3/6= 90/6=15 cakes
6 men can complete a job in 20 days.if the men work at the same rate.how many more are needed to complete the job in 12 days
Answers
you want to model the speed of a motorcycle which unit would be appropriate for measuring the quantity