One fourth of a number is 1 more than one fifth of the same number

Answers

Answer 1

Answer: The most important part of this question is understanding the words of the problem. The trick lies in the words of the problem. Once the web of words is simplified, the problem becomes very easy. The main thing is converting the words into numbers.
Let us assume the unknown number = x
Then from the question we get
(x/4) = (x/5) + 1
(x/4) - (x/5) = 1
(5x - 4x)/20 = 1
x/20 = 1
x = 20
So the unknown number is 20

Related Questions

The current cost of a box of cereal is $3.39. At the time of this writing, the CPI for cereal is 289.7. What was the cost of a box of cereal in 1983 to the nearest cent?
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles
What is the disadvantages of using a credit card
Georgianna wants to use the linear model associated with the data in the table to make a prediction.Which range of time values describes the entire interval over which she would be interpolating? A) 0 to 5 minutes B) 0 to 18 minutes C) 0 to 30 minutes D) 18 to 30 minutes
Isaac has had the same 2 credit cards for 10 years. He has a total credit limit of $12,000. He never makes late payments, and his student loans are almost paid off.Which is most likely to occur? A. He will be approved for a car loan with a low interest rate. B. His application for a new credit card will be denied. C. He will pay a high rate for a mortgage. D. He will have a low credit score.

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given that the sum of the two numbers is odd?1/4

1

40/81

5/40

Answers

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

A garden has 2500 trees. Out of which, 15 percent are Orange trees, 30 percent are mango trees, and the rest are lemon trees. Find the number of each variety of tree. a) Orange trees: 375, Mango trees: 750, Lemon trees: 1375 b) Orange trees: 400, Mango trees: 800, Lemon trees: 1300 c) Orange trees: 450, Mango trees: 900, Lemon trees: 1150 d) Orange trees: 500, Mango trees: 1000, Lemon trees: 1000

Answers

the answer is A. :)))

Meg started her trip with 11 1/2 gallons of gas in her car's tank. She bought an additional 6 4/5 gallons on her trip and arrived back home with 3 3/10 gallons left. How much gas did she use on the trip?

Answers

Answer:

Hence, the amount of gas she used on the trip is:

15 gallons.

Step-by-step explanation:

Meg started her trip with 11 1/2 gallons of gas in her car's tank.

i.e. we can represent the mixed fraction 11 1/2 in fraction as:

$11(1)/(2)=(23)/(2)gallons$

She bought an additional 6 4/5 gallons on her trip.

i.e. we can represent the mixed fraction 6 4/5 in fraction as:

$6(4)/(5)=(34)/(5)gallons$

Hence, the amount of gas filled in tank:

$=(23)/(2)+(34)/(5)\n\n=(23* 5+34* 2)/(10)\n\n=(115+68)/(10)\n\n=(183)/(10)gallons$

now after coming back home the amount of gas left in the car tank is:

3 3/10 gallons ; which could be represented in fraction as:

$3(3)/(10)=(33)/(10)$

Amount of gas used in the trip is:

=Amount of gas filled-gas remaining

$=(183)/(10)-(33)/(10)\n\n=(183-33)/(10)\n\n=(150)/(10)\n\n=15gallons$

Hence, the amount of gas she used on the trip is:

15 gallons.

Meg used 15 gallons. First you find the lowest common denominator to add 11 1/2 and 6 4/5, which is 10. What you do to the bottom you have to do to the top. You multiply 2 and 5, which gives you 10. 1 times 5 is 5... 11 5/10. 2 times 5 is 10, 4 times 2 is 8... 6 8/10. Add 11 5/10 and 6 8/10 and it gives you 18 3/10. To find out how much she used subtract the total amount she bought and how much she returned home with. The fractions cancel out since 3/10 minus 3/10 equals 0. You're just left with 18 minus 3, which is 15.

The height of a balloon is given by the fucntion s(t)= -960t^2+26400t , where t= hours since lift-off and s= feet . Find the velocity of the balloon 5 hours after lift off

Answers

v is slope of graph s-t
v(t) = s'(t) = -1920t + 26400
v(5) = -1920(5) + 26400

16800 metres

Working
i) Differentiate the given function to get the velocity function:
ds/dt = =1920t+ 26400
Then replace the value of t with 5 hours
v(t)= -1920(5)+26500
v(t)= -9600+26500
V(5)= 16800 m

What is the range in the number 11, 10, 12, 16, 15, 18