Mathematics College

What is the reciprocal of 6 4/5?

A.) 5/34

B.) 29/5

C.) 34/5

D.) 15/5

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The denominator in the original question is 5.

Therefore the answer must have 5 in the numerator. The answer can only be A.

6 4/5 = (30 + 4) / 5 = 34/5 This is the original fraction. The upside down of the original fraction is the reciprocal. Upside down of 34/5 is 5/34. You can come to this conclusion by doing this.

The formal definition of a reciprocal is 1/a where a is a fraction.

In this case a = 34/5. The reciprocal is 1/a = 1 // 34/5. You don't change anything by making it 1/1 // 34/5

1/1 // (34/5) Invert and multiply the bottom.

1/1 * 5/34 = 5/34

Related Questions



On a map, 12 inch represents 45 mile.

What distance on the map represents 1 mile?

A 2/5 ​ in.
B 5/8 ​ in.
C 1 3/5 ​ in.
D 2 1/2 ​ in.

Answers

Hello,


So 45 divided by 12 would get you 3.75. If I were to convert this in a mixed number, I would get me 2 1/2. So your answer is D


Hope this helps.



​ 5/8 ​ in.

i just took a test.

solve for w w- 8=32
answer choices

4
24
40
256

Answers

w = 40
Hope this helps!

40 because 32+8 =40 and all your doing is solving for w which is like saying. what is 40 -32

Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5

Answers

We want to expand (2x + y²)⁵.

From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.

n=0:                        1
n=1:                      1      1
n=2:                   1    2     1
n=3:                 1   3    3     1
n=4:               1   4   6    4     1
n=5:             1   5  10  10   5     1

Therefore the third term in the expansion is 
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴

Answer: 80x³y⁴

Answer:

coefficient =   80

The power of x =  3

The power of y =  4

Step-by-step explanation:

did the test on plato/edmentum and got it right

write the rule that applies to the following number:0÷7=0

Answers

The rule that applies to the following number:0÷7=0 is: "Zero divided by any number (except 0) equals zero"
Division by zero on the other hand is undefined, which means there is no solution to the operation : N:0.

What is the amount of sales tax on a suit priced at $2977 if the sales tax rate is 4%?

Answers

All we have to do is multiply the rate of sales tax by the price.

4% = .04

2977 * .04 = 119.08

The amount of salex tax on a suit priced at $2977 is $119.08

Help me asap!!

quick before I'm late

Answers

Exact form: 9/20 and decimal form: 0.45

36/2 = 18

80/2=40

36/80 = 18/40

18/2 =9

40/2 = 20

36/80 = 9/20


A $15,000, 11%, 120-day note dated Sept. 3, is discounted on Nov. 11. Assuming a bank discount rate of 9%, the proceeds would be

Answers

Assuming a bank discount rate of 9%, the proceeds would be $15,351.74

The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents the year.

Which is the best prediction for the number of new cases in year 15?

A. 194
B. 96
C. 328
D. 614

Answers

Answer: B 96


Step-by-step explanation:


By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.

Which is the best prediction for the number of new cases in year 15?

The function that predicts the number of cases in the year x is given by:

[tex]y = -2x^2 + 36x + 6[/tex]

So we just need to evaluate that function in x = 15, this means replacing x by 15.

[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]

So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.

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Section J in an arena has 20 rows. Each row has 15 seats. Our tickets cost $18 each. If all the seats are sold, how much money with the Arena collect the section J

Answers

section J has 20 rows....each row has 15 seats....so section J has (20 * 15) = 300 seats. If each seat costs $ 18, and all the seats are sold, then the amount of money collected would be : (300 * 18) = $ 5,400 <=

what is the answer to this including shown work?

Answers

Here is the right answer.
12p^2 + 16p + 5

28p^2 + 5

Henry invest 4500 at a compound interest rate of 5% per annum. At the end of n complete years the investment has grown to 5469.78. Find the value of n

Answers

4500 x 1.05^n = 5469.78 Solve for n
n≈4.00001 
n=4

The value of n is 4. This means that it took 4 years for the investment to grow to £5469.78.

How to calculate the value of n

We can use the compound interest formula to solve this problem:

A = P(1 + r/n)nt

where:

A is the future value of the investment

P is the principal amount invested

r is the annual interest rate

n is the number of times per year the interest is compounded

t is the number of years

In this problem, we have the following information:

A = 5469.78

P = 4500

r = 0.05 (5%)

n = ?

t = n

We can plug these values into the formula and solve for n:

5469.78 = 4500(1 + 0.05/n)n

1.2155066 = (1.05)n

n = 4

Therefore, the value of n is 4. This means that it took 4 years for the investment to grow to £5469.78.

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Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?

Answers

7.9968e +13 is the answer

Answer:

The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]      

Step-by-step explanation:

Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth.

To find : In scientific notation, how many miles away is it?

Solution :

According to question,

The distance can travel in 1 light year is

[tex]1 \text{ light year} = 5,880,000,000,000 \text{ miles}[/tex]

We have to find the distance traveled in 13.6 light-years.

[tex]13.6 \text{ light year} =13.6\times 5,880,000,000,000 \text{ miles}[/tex]

[tex]13.6 \text{ light year} =79,968,000,000,000 \text{ miles}[/tex]

In scientific notation,

[tex]13.6 \text{ light year} =7.9968\times 10^{13}\text{ miles}[/tex]

Therefore, The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]

Anyone know how to do B? Help please do!

Answers

Every mixed number has two components to it: a whole part and a fractional part. The whole part represents the number of wholes in a given number, and the fractional part represents the remainder; the “leftovers,” essentially.

Let’s establish first that our result is going to be negative. That’s a non-negotiable. Now, we can turn our attention to the 25/7. What is “one whole” when we’re dealing with sevenths? Well, splitting one whole thing into sevenths is the same as splitting it into 7 equal pieces, so in any one whole, we’ll have 7/7.

So, finding the *whole* part of 25/7 is the same thing as finding out how many *whole 7s* fit in 25. We can fit 3 whole 7s into 25, so our whole part is 3. Dividing 25 by 7 leaves us with *4/7* (since 7 x 3 = 21 and 25 - 21 = 4), so our fractional part is 4/7. Putting that together:

Adding back on the negative sign from the beginning, we find that our mixed number is [tex]-3 \frac{4}{7} [/tex].

Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.20 on

Answers

This means that you got 2.2 standard deviations above the mean... This is certainly good, but the measure of exactly how good it is depends on the mean, and 1 standard deviation. 

If you know that a < b, and both a and b are positive numbers, then what must be true about the relationship between the opposites of these numbers? Explain.

Answers

Answer: just copy and paste


We want to find the relationship between the opposites of a and b, given that both are positive and a < b.

That relation is:

-a > -b.

Remeber that the opposite of a real number is just -1 times that number.

The opposite of a is: -a

The opposite of b is: -b

Remember that for negative numbers, the closer the number is to zero, the larger is the number.

Because we know that a and b are positive, and a < b, then we know that a is closer to zero.

So for -a and -b, we know that -a is also closer to zero (then -a is larger than -b), so the relationship between these two is:

-a > -b.

Final answer:

When a < b and both a and b are positive numbers, the opposites of these numbers will have opposite signs.

Explanation:

In mathematical terms, when two positive numbers add, the answer has a positive sign. Similarly, when two negative numbers add, the answer has a negative sign. However, when a negative number is added to a positive number, the answer will depend on the magnitudes of the numbers:

If the positive number is greater than the negative number, the answer will have a positive sign.If the positive number is smaller than the negative number, the answer will have a negative sign.

So, in the given scenario where a < b, if both a and b are positive numbers, the opposites of these numbers will have opposite signs.

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At a certain college, the probability that a student attends full-time is 0.320 and the probability that the student attends part-time is 0.680. At the same college, the probability that a student receives financial aid is 0.570 while the probability that a student does not receive financial aid is 0.430. If a student is randomly selected, what is the probability that the student attends full-time and does not receive financial aid?

Answers

the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).

To find the probability that a student attends full-time and does not receive financial aid, we can use the multiplication rule for independent events.

Given:

- Probability of attending full-time: [tex]\( P(\text{full-time}) = 0.320 \)[/tex]

- Probability of not receiving financial aid:[tex]\( P(\text{no financial aid}) = 0.430 \)[/tex]

By the multiplication rule, the probability of both events occurring is the product of their individual probabilities:

[tex]\[ P(\text{full-time and no financial aid}) = P(\text{full-time}) \times P(\text{no financial aid}) \][/tex]

[tex]\[ = 0.320 \times 0.430 \][/tex]

[tex]\[ = 0.1376 \][/tex]

Therefore, the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).

Is 27 a percent square?

Answers

i guess you meant perfect square...
so no 27 isnt a perfect square

To make 112 dozen muffins, a recipe uses 312 cups of flour.

How many cups of flour are needed for every dozen muffins made?

Answers

2 cups of flower gucci gang
It takes 2 1/3. i took the test

Solve the system of equations using elimination. 2x + y = 9 8x – 2y = 6

Answers

(1) 2x + y = 9
(2) 8x – 2y = 6

You can eliminate the x or the y. I am going to eliminate the y

First multiply the first equation 2x + y = 9  by 2.
2x + y = 9
2(2x + y = 9)
4x +2y = 18
Now we have a new equation that we can use and we can eliminate the y from the other equation because +2y - 2y = 0. Lets do that now and solve for  x.

4x +2y = 18
8x – 2y = 6
12x = 24
12x / 12 = 24 / 12
x = 2
So we found the value of x, which is 2. To find y, insert 2 into one of the original equations. I am going to use 2x + y = 9
2x + y = 9
2(2) + y = 9
4 + y = 9
-4 + 4 + y = 9 - 4
y = 9 - 4
y = 5
y = 5.

Our point is at (x, y) = (2,5)
x = 2
y = 5

What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth. (Use 3.14 for Pi.)

Answers

Circumference = 2(pi)r
C = 2(3.14)4.0= 25.12 round 25.10 m

Answer: Circumference = 25.1 meters.

Area = 50.2 square meter.

Step-by-step explanation:

The circumference of a circle is given by :-

[tex]C=2\pi r[/tex]

Area of circle is given by :-

[tex]A=\pi r^2[/tex], where r is the radius.

Given : Radius = 4 meters

Then circumference of the circle will be :-

[tex]C=2(3.14) (4)=25.12\approx25.1\text{ meters}[/tex]

Area of circle is given by :-

[tex]A=(3.14)(4)^2=50.24\approx50.2\text{ meters}^2[/tex]

\

fill in the table using this function rule. y=-4x+2

x y
-1
0
1
2

Answers

all you have to do is substitute all the Xs to and get a final y output.

for example:
if we take the number x is -1 all you do is:

y=-4(-1)+2
y=4+2
y=6
thats the first one done

To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.

To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.

For x = -1, substitute x = -1 into the equation: y = -4(-1) + 2

For x = 0, substitute x = 0 into the equation: y = -4(0) + 2

For x = 1, substitute x = 1 into the equation: y = -4(1) + 2

For x = 2, substitute x = 2 into the equation: y = -4(2) + 2

By evaluating the expressions, you will obtain the corresponding y-values for each x-value.

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Bills had enough to buy no more than 1/2 pound of cheese. How much cheese could he buy?

Answers

Bill can buy less than or equal to (≤) a 1/2 pound of cheese.

Hope this answers the question.

In a poll, respondents were asked whether they had ever been in a car accident. 215 respondents indicated that they had been in a car accident and 449 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary

Answers

Sent a picture of the solution to the problem (s).

The probability of getting someone who has been in a car accident will be 0.3238

Number of people that indicated that they had been in a car accident = 215 respondents

Number of people that said that they had not been in a car accident = 449

The probability of getting someone who has been in a car accident will then be calculated as:

= 215/664

= 0.3238

Therefore, the probability of getting someone who has been in a car accident will be 0.3238

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Write the steps for how to use a number line to multiply a 2 digit number by 20

Answers

(Pretend you're multiplying 15×20)
1. Start at 0 (obviously)
2. Go 20 numbers to the left and stop (if you're drawing or writing on the number line, make a line vertically to show that's where you stopped for the first 20
3. Do this 14 more times and keep on going to the right

To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of people how many people does the ferry transport on each trip

Answers

240 I calculated it your welcome :)

Answer:

38 people

Step-by-step explanation:

Given: To transport [tex]228[/tex] people to an island island ferry make six different trips on each trip the ferry carries the same number of people.

To Find: how many people does the ferry transport on each trip.

Solution:

Total number of people to be transported [tex]=228[/tex]

Total number of trips made by island ferry [tex]=6[/tex]

As ferry carries same number of people in each trip

number of people ferry transport in each ferry [tex]=\frac{\text{total number of people to be transported}}{\text{total number of ferries}}[/tex]

putting values,

                     [tex]=\frac{228}{6}[/tex]

                     [tex]38[/tex]

Hence number of people ferry transport in each island ferry is [tex]38[/tex].

what is the perimeter of the trapezoid graphed below?

Answers

The perimeter is the sum of the lengths of the sides.

1) Upper base: 6 - 4 = 2 units

2) Lower base: 8 - 2 = 6 units

3) left side:

left side ^2 = (4 - 2)^2 + (9 - 4)^2 = 2^2 + 5^2 = 4 + 25 = 29

=> left side = √29 units

4) rigth side = (8 - 6)^2 + (9 - 4)^2 = 29

=> right side = √29 units

5) Perimeter = 2 units + 6 units + √29 units + √29 units = 8 + 2√29 units

Answer: option D. 8 + 2√29 units

a graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47.6 ml what is the volume of the granite piece in cubic centimeters?

Answers

The volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder, displacing the level to 47.6 ml.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Volume of the water filled in the cylinder = 41.5 ml

Volume after placing the piece of granite = 47.6 ml

The volume of the piece of granite = 47.6 - 41.5 = 6.1 ml

As we know 1 ml = 1 cm³

The volume of the piece of granite = 6.1 cubic cm

Thus, the volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47.6 ml.

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ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?

Answers

namely, how many times does 2/3 go into 4 and 1/2?

first, let's convert the mixed fraction to "improper" and do the division.

[tex]\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}\\\\ -------------------------------\\\\ \cfrac{\quad \frac{9}{2}\quad }{\frac{2}{3}}\implies \cfrac{9}{2}\cdot \cfrac{3}{2}\implies \cfrac{27}{4}\implies 6\frac{3}{4}[/tex]

Mrs. Carothers is considering reserving a room at the Hotel Indigo for a trip to Fox Theater. Hotel Indigo charges $717 for a 3 night stay.


Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and show your work

Answers

Rounded up it is a Seventy-four percent gain. I figured this out by subtracting the difference in prices and then I divided that answer by the the original price. I then multiplied that number by 100 to get the actual percentage. I then rounded the number to the nearest percentage and came up with seventy-four percent which is the percentage of increase.

Decrease £1280 by 60%

Answers

1280 : 100 * 60 =
768
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