Xy = 50
x + y = 15
x = 15 - y
xy = 50
(5 - y)y = 50
5y - y^2 = 50
y^2 - 5y + 50 = 0
(y - 5)(y - 10) = 0
y - 5 = 0 or y - 10 = 0
y = 5 or y = 10
x + y = 15
For y = 5:
x + 5 = 15
x = 10
For y = 10
x + 10 = 15
x = 5
Answer: the numbers are 5 and 10.
To make it easier, you calculate the volume of the first aquarium.
1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.
Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.
2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches
Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
2nd aquarium's rate:
18,270 in./39 min.
As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
Answer:
see explanation
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition that x = 9 when y = 15
15 = 
( multiply both sides by 9 )
k = 135
y = 
← equation of variation
Answer:
JMK = 54
JKH = 126
HLK = 90
HJL = 27
LHK = 63
JLK = 27
Step-by-step explanation:
Just use 180 for total angles in each triangle. Vertical angles mean the opposite to 126 is 126 and the other two that make up the inner vertices are (360- 126*2)/2 = 54
So, 126, `16, 54 , 54 are the inner angles in the circle. Just go from there.
The answer would be the third one .
Perpendicular would always be the opposite of your original slope.
Hope this helps! (:
