Answer: 600
Step-by-step explanation:
5x5=25
3x8=24
25x24=600
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>
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Say n is the original number of students.
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<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:
- x +y = 500
- 0.65x +0.95y = 0.75(500)
- solution: (x, y) = (300, 200)
Step-by-step explanation:
A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.
<h3>Setup</h3>
Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.
x + y = 500 . . . . . . quantity of new alloy needed
0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy
These are the desired system of equations.
<h3>Solution</h3>
This problem does not ask for the solution, but it is easily found using substitution for x.
x = 500 -y
0.65(500 -y) +0.90y = 0.75(500)
(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)
y = 500(0.10/0.25) = 200
x = 500 -200 = 300
300 grams of 65% copper and 200 grams of 90% copper are needed.
4m + 5
Remove the parenthesis and collect like terms
3m + m + 5 = (3m + m) + 5 = 4m + 5
Answer:
this is the answer for 5. y=2x−5