in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last​

Answers

Answer 1

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

xy = k

∴ 40 × 30 = k

1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

y = 20

The food will last for 20 days


Related Questions

Chef Talbot is baking 6 blueberry pies. If he uses 3/4 of blueberries in each pie, how many pints of blueberries will he need??

Answers

Answer:

4 2/4 pints

Step-by-step explanation:

Well if you multiply 6 by 3/4 it equals 18/4 and if you turn that into a mixed number it will give you 4 2/4.

So in conclusion, Chef Talbot will use 4 and a half pints of blueberries.

Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10

Answers

i think the answer is c

What is the difference of the fractions represented in the model?

Answers

The answer is A) 1/4, one fourth.

A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?

Answers

Answer: 480 minutes or 8 hours

Step-by-step explanation:

24,000 ÷ 50 = 480.

It will take 480 minutes to fill the pool.

480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.

Hope this helps!

Answer:

480 Minutes or 8 Hours

Step-by-step explanation:

If you do 24,000 divided by 50 you get a result of 480

Please help due today!!!!

Answers

Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680

Step-by-step explanation:

Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.

Help me please on both of y’all can

Answers

Answer:  384 ft^2

Step-by-step explanation:

Like it said  set up a proportional equation and solve for dimensions in feets.

The scale factor saids   0.75 in = 2 ft  

And the dimensions are   6 in by 9 in  

Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .  

[tex]\frac{0.75}{6} = \frac{2}{x}[/tex]         Solve by cross multiplying

0.75x = 12  

x = 16  

[tex]\frac{0.75}{9} = \frac{2}{x}[/tex]         Cross multiply

0.75x = 18

x = 24          

Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .

16 * 24 = 384 ft^2

calculate the slope of the line​

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 6)

Point (8, 4)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{4-6}{8-2}[/tex]Subtract:                      [tex]m=\frac{-2}{6}[/tex]Divide:                         [tex]m=\frac{-1}{3}[/tex]

which is the correct answer?​

Answers

Answer:

i think B

Step-by-step explanation:

A porch that is 24.5 feet long needs to be lengthened by 12.2 feet. How long is the new length of the porch?

Answers

36.7 feet (24.5+12.2). You just have to add the two numbers to determine the new length.

William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?

Answers

Answer:

he earned $29,135.04

Step-by-step explanation:

to get answer you multiply total sales by .03

The answer is $29,135.04

Dertermine the quotient of 3/7 divided by 2/3 pls help

Answers

When you divide, you multiply by the other fraction’s reciprocal
= 3/7 * 3/2 = 9/14
Answer: 9/14

Answer: 9/14

Step-by-step explanation:

hope this helps!

A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?

Answers

Answer:

cost of cookie = $1.95

cost of 15 cookies = $1.95 *15

cost of 15 cookies = $29.25

Step-by-step explanation:

ILL GIVE BRAINLEST ​

Answers

Answer:

its the first one brsinlest plz

Step-by-step explanation:

pls helppppppppppppppp​

Answers

Answer:

4 seems to be it

Step-by-step explanation:

i believe that the correct answer is four

a(7x + 3) = b + 14x?

Answers

Answer:

Step-by-step explanation:

So first add 7 +3 adn get 10, then add 14, and then you will get 24

24 is your answer.

The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a binomial random variable. Assume that its probability will be approximated using the normal distribution. Describe the area under the normal curve that will be computed in order to determine the probability that more than Americans support the bill.

Answers

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

If 2x=46, find the value of 7-6x

Answers

Answer:

-131

Step-by-step explanation:

By dividing by 2, we find that x = 23

Plugging this into the equation we can find

7-6x=7-6(23)=-131

Answer:

-131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2x = 46

Step 2: Solve for x

Divide 2 on both sides:                    x = 23

Step 3: Define

7 - 6x

Step 4: Evaluate

Substitute:                    7 - 6(23)Multiply:                        7 - 138Subtract:                       -131

Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."

Answers

Step-by-step explanation:

850 calls

1000:100=10

1%=10

10×85=850

Discount is the reduction in value. The total number of calls not answered this is 150 calls

Discount and percentages

Given the following

Total number of calls = 1000 calls

If 15% of those calls were not answered, the total calls that were not answered is given as:

Total call not answered . = 0.15 * 1000

Total call not answered = 150 calls

Hence the total number of calls not answered this is 150 calls

Learn more on percentages here: https://brainly.com/question/24304697

#SPJ2

The original price of an iPad is $429 the sale price 30% off the original price what is the sale price of the iPad

Answers

the calculator but I think it might be #143000

Answer:

sale price is therefore $300.30

Step-by-step explanation:

100% - 30% = 70%

0.70 * $429 = 300.30

The sale price is therefore $300.30

Please mark brainliest and have a nice day :)

Which of the following government agencies does not regulate banking or financial markets?
a.
The NCUA
b.
The Federal Reserve
c.
The FCC
d.
The OCC


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

C.FCC

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Can you simplify the below equation

[tex]\sqrt{(\sqrt{21} -2\sqrt{7}) ^2}[/tex]

Answers

Answer:

nope

Step-by-step explanation:

literally impossible

PLEASE HELP DUE IN 5 min

Answers

Answer:

The answer is 21

Step-by-step explanation:

Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find x

Which expression is equivalent to 25?
2 + 2 + 2 + 2 + 2
5+5
0 2.2.2.2.2
5.5
DONE

Answers

Answer:

It's C because its 2 to the power of 5

Step-by-step explanation:

2x2x2x2x2


There are y boats on a lake.
There are 6 people in each boat.
Write an expression, in terms of y, for the total number of people in the boats.

Answers

Answer:

I hope this may help u

Step-by-step explanation:

6×y

I need the answers to this ASAP

Answers

Answer:

First Answer: A = $ 4,247.03

A = P + I where

P (principal) = $ 4,000.00

I (interest) = $ 247.03

Second Answer : A = $ 6,325.22

A = P + I where

P (principal) = $ 5,500.00

I (interest) = $ 825.22

Third Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.5

Fourth Answer: A = $ 7,735.55

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 735.55

Step-by-step explanation:

HOPE IT HELPS MARK ME BRAINLIEST :)

Which statement is true
A. The 6 in 0.6 is ten times the value of the 6 in 6.0 (wrong)
B. The 6 in 6.5 is 1/10 the value of the 6 in 65
C. The 6 in 625 is 100 times the value of the 6 in 625

Answers

Answer:

i think it A

Step-by-step explanation:

i need help with this one (T_T)​

Answers

I think it’s the 3 I’m not sure

Solve the following system of equations graphically on the set of axes below.
Y=1/3x+6 y=-5/3x-6

Answers

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6   (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7    (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

Help help help help help plss

Answers

Answer:

Last one

Step-by-step explanation:

Answer:

48 divided by 4= 12

Step-by-step explanation:

i suck at math srry

A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal measurement is 46 inches, find the height.

Give your answer rounded to 1 decimal place.

Inches.

Answers

Answer:

30.5 iches

Step-by-step explanation:

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