Answer:
There were 15 lions and 19 hyenas.
Step-by-step explanation:
Given: There are total 34 lions and hyenas. Each lion eats 4 antelopes a year. Each hyena eats 3 a year. Also, 117 antelope are eaten in a year.
To find: Number of lions and hyenas
Let number of lions = x, and
number of hyenas = y
According to question,
...(1)
...(2)
From equation (1), 
.
Substituting in equation (2),
⇒
⇒
⇒
⇒
Put in equation .
⇒
Hence, there were 15 lions and 19 hyenas.
You first want to get <em>y</em> alone.
So, get rid of the -5 by adding 5 to both sides.
That leaves you with 8 = y.
You can check by plugging 8 back in for y.
3 = -5 + (8).
Since that is a true statement, our answer is correct.
Answer:
x1= -4
x2 = 4
Step-by-step explanation:
Set the equation equal to zero
x2 − 16 = 0
then
(x + 4)(x − 4) = 0
(x+4)= 0 which is equal to -4
and
(x-4)= 0 equals 4
Answer:
Volume of rectangle = 105 inches³
Step-by-step explanation:
<u>Given the following data;</u>
Length, L = 3 inches
Width, W = 7 inches
Depth, D = 5 inches
To find the quantity of water it will take;
Substituting into the equation, we have;
<em>Volume of rectangle = 105 cubic inches.</em>
<em>Therefore, the quantity (amount) of water will it take to fill the tank to a depth of 5 inches is 105 cubic inches. </em>
Answer:
-333
Step-by-step explanation:
It seems like it is going down by -30 each term.
