1 gallon = 4 quarts
1 Quart = 2 pints
1 Pint = 2 cups
2 (amount of pints in a quart) x 5 (amount of quarts) = 10 = how many pints
10 x 2 (amount of cups in a pint) = 20
20 = how many cups in 5 quarts
<em><u>The solution is x = 8 and y = -5</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + y = 3 ------ eqn 1
3x + 2y = 14 ------ eqn 2
We have to find the solution to the equations
We can use substitution method to solve
From eqn 1,
x + y = 3
Isolate for "x"
x = 3 - y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
3(3 - y) + 2y = 14
9 - 3y + 2y = 14
-y = 14 - 9
-y = 5
<h3>y = -5</h3>
<em><u>Substitute y = -5 in eqn 3</u></em>
x = 3 - (-5)
x = 3 + 5 = 8
<h3>x = 8</h3>
Thus the solution is x = 8 and y = -5
Answer:
sin θ = 24/25.
Step-by-step explanation:
Cos θ = 7/25 so we have a right triangle with adjacent side = 7 and hypotenuse = 25.
So the opposite side = sqrt ( 25^2 - 7^2) ( By Pythagoras)
= sqrt 576
= 24 .
Therefore sin θ = 24/25.
