Answer:
625
Step-by-step explanation:
<u>here we are in an inverse proportion situation :</u>
<em>As the number of days increases </em>
<em>when the number of students decreases and vice versa.</em>
__________________
Say n is the original number of students.
___________________________________________
<u>After 15 days, the rest of food is enough for n students for 45 days, </u>
<u>or enough for n+500 students for 25 days.</u>
Then
45n = 25×(n + 500)
Then
45n = 25n + 25×500
Then
45n - 25n = 25×500
Then
20n = 12500
Then
n = 12500÷20
= 625
and thus , there were 625 students in the hostel.
Answer: Choice A
x = 19, RZ = 49, and RT = 98
====================================================
How to get that answer:
Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT
RZ = ZT
4x-27 = 49
4x = 49+27
4x = 76
x = 76/4
x = 19
So far, we can see that the answer is either choice A or choice D.
------------------
If x = 19, then
RZ = 4x-27
RZ = 4*19-27
RZ = 76 - 27
RZ = 49
Which points us to Choice A as the final answer
-------------------
We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.
Also,
RT = RZ + ZT
RT = 49 + 49
RT = 98
Answer:
20
Step-by-step explanation:
The Pythagorean Theorem says if you have a right triangle with legs 
then:
.
You are given leg measurements 12 and 16.
You are given the hypotenuse measurement but are asked to find it.
Take square root of both sides:
Hmm. There looks to be a typo in the question. I believe it should say "1yd less than double the width", not "more than". Because the only way to get 28 is 7*4.
Answer:
The Commutative Property
The Commutative Property is illustrated by the problem. Commutative Property means you can put the numbers in any order and the result will still be the same :')
