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elena55 [62]
3 years ago
13

There are 100 students in a hostel. Food provision for them is 20 days.How long will these provision last if 25 more students jo

ined?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0
Currently 100 students can eat for 20 days, so we need to find the number of days 125 students can eat.

Originally:
100 students eat for 20 days

New:
125 students eat for x days. Multiply original number of students by original number of days which will give the total amount of students per day. Then divide the total amount of students per day by the new number of students to find the new number of days.

x= (100 students * 20 days)/ (100+25)
x= (100 * 20)/ 125
x= 2000/125
x= 16 days

ANSWER: 125 students can eat for 16 days.

Hope this helps! :)
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4.9t+0.3=5.6t+0.72 I need help on my work lol
Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression 4.9t+0.3=5.6t+0.72.

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

<u>Subtract 4.9t from both sides</u>

  • 4.9t+0.3=5.6t+0.72
  • (4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72
  • 0.3=(5.6t-4.9t)+0.72
  • 0.3=(0.7t)+0.72

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

<u>Subtract 0.72 from both sides</u>

  • 0.3=0.7t+0.72
  • 0.3 - 0.72=0.7t+0.72 - 0.72
  • 0.3 - 0.72=0.7t
  • -0.42=0.7t

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

<u>Divide both sides by 0.7</u>

  • -0.42=0.7t
  • \frac{-0.42}{0.7}=\frac{0.7t}{0.7}
  • \frac{-0.42}{0.7}=t
  • -0.6=t

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0
2 years ago
In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav
raketka [301]

c. 4.6

       

21 X .22= 4.6

       

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

4 0
3 years ago
A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?
IrinaK [193]

Answer: C. |-4 - 3|

<u>Step-by-step explanation:</u>

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

4 0
3 years ago
Logan made a treasure map he treasure is 25 cm away from his location if each 1 cm on the scale drawing equals 5 m then how far
Doss [256]
Logan is 125 meters away from the treasure.


Also, this question seems like an elementary school question, not a high school question, so why does it say that you are in high school?
8 0
3 years ago
The diameter of a circle is 4 kilometers. What is the circle's circumference?
scZoUnD [109]

Answer:

12.57 km

Step-by-step explanation:

Radius = 4 / 2 = 2 km

Circumference = 2πr = 2π(2) = 4π = 12.57 km

6 0
3 years ago
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