21 feet to 8 yards write a ratio as a fraction in simplest form without any units

Answers

Answer 1

We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = [tex]\frac{21 feet}{3 feet}yards[/tex] = 7 yards

Thus, the ratio

[tex]\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}[/tex]

The fraction [tex]\frac{7}{8}[/tex] is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is [tex]\frac{7}{8}[/tex]

Answer 2

Final answer:

The ratio of 21 feet to 8 yards simplifies to 7/8 when both measurements are converted to the same units (feet) and the ratio is reduced to simplest form.

Explanation:

To write the ratio of 21 feet to 8 yards as a fraction in simplest form without any units, first, we need to ensure both measurements are in the same unit.

We know that 1 yard equals 3 feet, so 8 yards equal 24 feet. Therefore, the ratio of 21 feet to 8 yards (24 feet) can be written as 21 to 24, which simplifies to 7/8 when dividing both numbers by their greatest common divisor, which is 3.


Related Questions

Brenda finish 1/3 of a friendship bracelet 1/2 of an hour at this rate how many bracelets can she finish in 1 hour

Answers

Final answer:

Brenda is able to complete 2/3 of a friendship bracelet in one hour, based on the rate given in the question.

Explanation:

This question deals with rate and time, key concepts in Mathematics. Brenda can finish 1/3 of a bracelet in 1/2 hour, which means she completes 2/3 of a bracelet in one hour. Let me explain why.

We start with the given rate: 1/3 bracelets per 1/2 hour. To find out how many bracelets Brenda can complete in 1 hour, we simply multiply this rate by 2 (as 1 hour is equivalent to two 1/2 hours). Therefore, Brenda can complete (1/3 bracelet/1/2 hour) x 2 = 2/3 of a bracelet in one hour.

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what are the different ways of solving systems of linear equations?

Answers

1) Graphing- If you graph the numbers you will easily be able to identify the answer.

2) Substitute- Substitute numbers in for x or y until they're equal on both sides.

EX: 2x+2=10

Substitute numbers in until you get a number that makes it equal on both sides

x= 4

3) Elimination- Eliminate numbers from both sides until they're equal.

Hope this helped! :)

plz answer most point

Answers

its D or the 4th answer


Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
2.0 mph
3.3 mph
5.0 mph
10.0 mph

Answers

Answer : 2.0 mph

Haji rows his canoe 10 mph in still water

Speed of still water = 10 mph

Let the speed of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

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

Time taken on upstream =  [tex]\frac{4}{10-x}[/tex]

Time taken on downstream =  [tex]\frac{6}{10+x}[/tex]

Same time taken for both upstream and downstream

So [tex]\frac{4}{10-x} = \frac{6}{10+x}[/tex]

Cross multiply it

4(10+x) = 6(10-x)

40 + 4x = 60 -6x

Add 6x  and subtract 40 on both sides

10x = 20 (divide by 10)

x= 2

So speed of the current = 2.0 mph

The approximate speed of the current that day is 2.0 mph.\

The correct option is A.

Given

The speeds of the current = x

Upstream speed = 10 - x

Downstream speed = 10+x

Upstream Distance = 4 miles

Downstream Distance =  6 miles

What is speed?

Speed is defined as the fraction of the total distance and time taken to complete it.

The following formula is used to calculate speed;

[tex]\rm Speed =\dfrac{Distance}{Time}[/tex]

Therefore,

The approximate speed of the current that day is;

[tex]\rm = \dfrac{Upstream \ distaance}{Upstream \ speed}= \dfrac{downstream \ distaance}{downstream \ speed}\\\\ \dfrac{4}{10-x}=\dfrac{6}{10+x}\\\\4(10+x)=6(10-x)\\\\40+4x=60-6x\\\\4x+6x=60-40\\\\10x=20\\\\x= \dfrac{20}{10}\\\\x=2[/tex]

Hence, the approximate speed of the current that day is 2.0 mph.

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A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes. In her costumes, she used both bat and cat buttons. what is the largest number of costumes she can make?

Answers

A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes

To find  the largest number of costumes we take GCF

GCF gives the largest and greatest number of grouping

WE find GCF of 36 and 18

1, 2, 3, 6, 9, 18  are the factors of 18

 1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of 36

Greatest common factor GCF is 18

So , 18  is the largest number of costumes she can make.

What is 5458258525 times (868)

Answers

The correct answer is 4737768399700 Hope this helps!



it equals 7.7377684


The cost to rent a hall for alysa’s sweet sixteen birthday party is $300. Her mom said she must keep the party cost to no more than $5.00 a person. She watched her mom write an expression on her notes that is listen below. What does the variable represent in this expression. 300+200/x

Answers

In the expression 300 + 200/x for Alysa's party, the variable 'x' stands for the number of attendees to ensure the party cost stays within the $5.00 per person limit.

In the expression 300 + 200/x, the variable x represents the number of people attending Alysa's sweet sixteen birthday party.

Alysa's mom has set a maximum cost of $5.00 per person, and the total cost for renting the hall is $300, which is a fixed cost. To ensure the party cost does not exceed $5.00 per person, the cost per person is calculated by dividing the additional $200 by the number of attendees (x).

write a question about 7 ones and 8 groups of 10

Answers

There are 7 marbles laying across the ground, you decide to pick them up so that they don't become a problem later. Afterwards, you find that your friend has made it into a competition to see who can get the most marbles. Both of you get 40 marbles each, this means there is a total of 8 groups of 10 marbles, and 7 groups of individual marbles. You then rejoice, as the marble minefield is now gone.

If a^2-b^2=648 and (a-b)=24, what is the value of (a+b)

F.21
G.24
H.25
J.26
K.27

Answers

K.27. This is because if you were to factor a^2-b^2, you get (a+b)(a-b)=648. If you substitute a-b for 24, it would lead the equation to be 24(a+b)=648. Divide 24 from both sides to get the answer.

Final answer:

To find the value of (a+b), substitute a-b into the equation [tex]a^{2} - b^{2} = 648[/tex] and solve for (a+b). The value of (a+b) is 27, i.e., option K.

Explanation:

To find the value of a+b, we can use the formula for the difference of squares: [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]. Given that a-b = 24, we can substitute this value into the equation. So, we have:
648 = (a+b)(24)
Now, divide both sides of the equation by 24 to isolate (a+b):
(a+b) = 648/24 = 27. Therefore, the value of (a+b) is 27.

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A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distance. Find the rate of the motorboat in calm water.

Answers

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20     (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16     (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

Enter the number that belongs in the green box.

Answers

Final answer:

The number that belongs in the green box is 2.

Explanation:

Based on the information provided, which relates to probability and the use of a calculator, we can assume the question pertains to Mathematics, likely within a Middle School curriculum where basic probability and calculator skills are taught.

When dealing with shuffled cards or marbles in a bag, one typically calculates probabilities or expected outcomes

There are a total of eight cards: five green cards and three yellow cards.

Since the cards are well shuffled, the probability of drawing a green card is 5/8.

The probability of drawing a yellow card, in this case, would be 3/8.

Since the green cards are marked with the numbers 1, 2, 3, and 4, the number that belongs in the green box would be 2.

Final answer:

To find the number in the green box, calculate the ratio of green cards to total cards.

Explanation:

The number that belongs in the green box can be found by calculating the ratio of green cards to total cards. In this case, there are 5 green cards out of 8 total cards. To find the number that belongs in the green box, we can use the formula:

Number in green box = green cards / total cards

Number in green box = 5 / 8

Using a calculator or simplifying the fraction, we find that the number in the green box is 5/8 or approximately 0.625.

An offical handball has a diameter of 4.8 centimeters whats the volume ?

Answers

Hello!

Answer

The volume of the handball is 57.91 [tex]cm^{3}[/tex]

_________________________________________________Explanation

Use the formula to calculate the volume.

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]2.4^{3}[/tex]

V = 57.91  (Rounded to the nearest hundredths)

please help me, thanks :))

Answers

In order to answer this question, you must convert each number into 3 different fractions. This can be done by  multiplyhing the number by the denominator (The denominator is the bottem part of the fraction) as you go up, for example, for 2 , you can make it into a 4/2, due to the denominator being 2, you multiply it by 2, and there you go, you made a fraction that equals the number. You can do this with the rest of these, although for number 11, its pretty much the same thing, just by dividing the new denominator with the old one then multiplying that new number by the numerator to get your fraction.

Tommy is taking inventory in a warehouse. He’s counting tennis shoes. There are 43 pairs of women’s tennis shoes and 39 pairs of men’s tennis shoes. How many pairs of tennis shoes are there in all?
72?76?80?82?

Answers

43+39=82

hope this helps!

Answer:

43 + 39 = 82

Step-by-step explanation:

amount of mens shoes plus amount of womens shoes

write the number with the same value of 32 tens

Answers

32 tens is the same as 320.

hope that helps :)

32 tens is equivalent to 320 hundredths

Hope this helps!!!

A cafeteria has two sodas. On machine has the following flavors: cola, root beer, and lime. The second machine has a lemon, orange, cola, and cherry. Which set represents all flavors in the two machines?

Answers

{Cola, Root Beer, Lime, Lemon, Orange, Cherry}

Answer:

The guy above is completely correct.

Just in case if no one believes him.

Step-by-step explanation:

Please give him brainliest.

8(x+6)−10+r=3(x+12)+5x

Answers

Answer:

ne solution was found :

                  r = -2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

               8*(x+6)-10+r-(3*(x+12)+5*x)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((8•(x+6))-10)+r)-(3•(x+12)+5x)  = 0  

Step  2  :

Equation at the end of step  2  :

 ((8 • (x + 6) -  10) +  r) -  (8x + 36)  = 0  

Step  3  :

Equation at the end of step  3  :

 r + 2  = 0  

Step  4  :

Solving a Single Variable Equation :

4.1      Solve  :    r+2 = 0  

Subtract  2  from both sides of the equation :  

                     r = -2  

One solution was found :

                  r = -2


Step-by-step explanation:


Complete the second equation below so that the terms in the system align.

Answers

The equation is 3x+2y= -22

Answer:

It's -3x+2 y=-22

Step-by-step explanation:

I just did on e2020

which function in the vertex form is equivalent to f(x)=x^2+6x+3

Answers

Answer:

B. f(x) = (x + 3)2 − 6


Step-by-step explanation:


Answer:

[tex]f(x)=(x+3)^2-6[/tex]

Step-by-step explanation:

We have been given a function [tex]f(x)=x^2+6x+3[/tex]. We are asked to find the function equivalent to our given function in vertex form.

To convert our given function in vertex form, we need to complete the square for our given function as:

Add and subtract [tex](\frac{b}{2})^2[/tex] from equation:

[tex](\frac{b}{2})^2=(\frac{6}{2})^=3^2=9[/tex]

[tex]f(x)=(x^2+6x+9)+3-9[/tex]

[tex]f(x)=(x^2+2\cdot 3x+3^2)-6[/tex]

[tex]f(x)=(x+3)^2-6[/tex]

Therefore, the [tex]f(x)=(x+3)^2-6[/tex] is equivalent to our given function in vertex form.

give that angle CFE is congruent to CFA, the measure of angle AFB = 23° and the measure of angle EFD = 69°, find the measure of angle EFB.

Answers

Answer:

m∠EFB = 157°

Step-by-step explanation:

We are given that m∠CFE = 90°

m∠AFB = 23° so;

m∠BFC = 90° - 23° = 67°

m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°


Answer:

D. 157°

Step-by-step explanation:

Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°  

Devaughn's age is three times Sydney's age. The sum of their ages is 84 . What is Sydney's age?

Answers

the answer is 21 years old

the skunk sprayed people 70% of the people he saw on his walk. if he saw a total of 30 people,how many people did he spray?

Answers

The skunk sprayed 21 people.

He sprayed 21 people.

Explanation: 30/100=0.3 ((1% of 30 is 0.3))

0.3x70(%)= 21

23.61 divided by 5.1

Answers

the answer is... 4.269

The answer is 4.269 cause if You do it the long divison way you will see how

Find the distance between points M(6, -16) and Z (-1, 14) to the nearest tenth.

Answers

Distance = √((x2-x1)^2 + (y2-y1)^2)

Distance = √((-1 - 6)^2 + (14 - -16)^2)

Distance = √( -7^2 + 30^2)

Distance = √(49 + 900)

Distance = √949

Distance = 30.8


a customer bought 8.5 pounds of apples from a local produce market. how many ounces of apples did the customer buy?

A:112
B:128
C:120
D:136

please show work

Answers

d) 136 ounces is tr he correct answer
Final answer:

To convert pounds to ounces, you can use the conversion factor of 1 pound = 16 ounces. Therefore, 8.5 pounds of apples equates to 136 ounces. The correct answer is D: 136.

Explanation:

The subject of this question is mathematics. Specifically, it revolves around the concept of units conversion. To convert from pounds to ounces, we use the conversion factor that 1 pound is equivalent to 16 ounces.

Given in the question, the customer bought 8.5 pounds of apples. To find out how many ounces this translates to, we need to multiply 8.5 by 16.

The calculation is as follows:

8.5 pounds * 16 ounces/pound = 136 ounces  

So, the customer bought 136 ounces of apples. Therefore, the correct answer is D: 136.

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what is the value of x to the nearest tenth the figure is not you scale x=2.1 x=3.4 x=9.6 x=13.1

Answers

Answer:

the answer is x = 9.6


Step-by-step explanation:


Answer:

the answer is

C - X=9.6

Step-by-step explanation:

12/84 as a unit fraction?

Answers

Simplify [tex]\frac{12}{84}[/tex], 84 ÷ 12 = 7, so, [tex]\frac{12}{84}[/tex] as a unit fraction equals; [tex]\frac{1}{7}[/tex]


~

1/7

This is because 84 is divisible by 12 and  that would leave 7 in the denominator with 1 on top

In Bluepoint, the average low temperature for January was 40 °F. The average low in February was 27% lower. What was the average low in February?

Answers

The average low temperature for January was 40 °F - 100%.

The average low in February was x °F - 27% lower, that is 100%-27%=73%.

Write a proportion:

[tex]\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2[/tex]

Answer: the average low in February was 29.2 °F.

Hey can anyone help me? I just need help with the bottom table.

Answers

Hello there!Let's start this problem off by looking at the key parts of the question.

The question asks how many hours each person worked, and how much they earned, or basically they're asking for the right two columns to be filled in. (Total hours = how many hours each person worked, and Total pay = how much they earned)

Now let's recall the information which is given.

If we look at the table, we can see we're given information for each person, Sue, Bob, and Chris. We're given their rate per hour, and the numbers of hour they worked for each day.

Now that we've looked at that, we can connect the information we're given and what the question is asking.

The two things we are looking to calculate can correspond with a part of information we're given:

Total Hours <-> hours worked each day: we can see these connect as the total hours work (I'm assuming) are weekly, and to calculate the total hours worked we can look the hours worked for each day as days make up weeks. Therefore, if you just add the number of hours worked on Monday, Tuesday, Wednesday, Thursday, and Friday together, you get the total hours worked in the week.Total Pay <-> rate per hour and total hours: the total amount of pay can be calculated once we know the rate per hour and the total hours. The rate per hour is based off of the hours, it's how much is earned every hour, and the total hours include the total amount of hours worked. Therefore, if you multiply the two together you'll get the total pay. (Multiplying is essentially adding a number, another number of times, in this case it's adding the pay rate, the total hours amount of times.)Now that we know how they're connected, and therefore how to solve the equation, we can complete the calculations.

Find the total hours worked for each person:

Sue: Monday: 3.5 hours, Tuesday: 10.5 hours, Wednesday: 5.25 hours, Thursday: 6 hours, Friday: 12 hours. 3.5 + 10.5 + 5.25 + 6 + 12 = 37.25 total hours workedBob: Monday: 5 hours, Tuesday: 3.5 hours, Wednesday: 7.75 hours, Thursday: 5.5 hours, Friday: 10.25 hours. 5 + 3.5 + 7.75 + 5.5 + 10.25 = 32 hours total workedChris: Monday: 6.5 hours, Tuesday: 7.25 hours, Wednesday: 9.5 hours, Thursday: 3.5 hours, Friday: 3.5 hours. 6.5 + 7.25 + 9.5 + 3.5 + 3.5 = 30.25 hours total

We have now calculated the total hours for each person. You can therefore fill in the column of total hours, starting from the top, with 37.25 hours, then 32 hours, and finally 30.25 hours.

The final step is to calculate the total pay for each person.

As I stated earlier, the only thing needed to do to find the total pay is to multiply the total hours my the rate per hour.

Sue: $16.50 per hour, 37.25 hours. 16.50 * 37.25 = $614.625, rounds up to $614.623Bob: $11.25 per hour, 32 hours. 11.25 * 32 = $360 dollarsChris: $14.50 per hour, 30.25 hours. 14.5 * 30.25 = 438.625, rounds up to $438.63Now we have all our solutions. For the total hours column, top to bottom: 37.25 hours, 32 hours, 30.25 hours. For the total pay column, top to bottom: $614.623, $360, $438.63Hope this helped!

Donnie’s dog had a litter of puppies. He noticed that 2 are brown, 1 is striped and 3 are spotted. What is the ratio of total puppies to brown puppies?

I got 6:2

Answers

Answer:

6:2 is correct :)

Step-by-step explanation:


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