Answer
Let t be number of minutes since tap is opened
water is increased by 20 gallons of water per minute.
sugar increase rate of 3 pounds per minute
water :- W(t) = 350 + 10 t
sugar :- S(t) = 10 + 3 t
concentration
C(t) = 
at t = 15 minutes
C(15) = 
C(15) = 
C(15) = 0.11
at beginning t = 0 minutes
C(0) = 
C(0) = 
C(0) = 0.0286
C(15) > C(0)
hence, concentration is increasing as time is passing.
2x+2y=38
y=x+3
First you would substitute the y for x+3
2x+2(x+3)=38
You would multiply the 2 by the x+3
2x+2x+6=38
Add the 2x and the 2x
4x+6=38
Subtract the 6 on both sides
4x=32
Divide the 4 on both sides
x=8
Now substitute the x in the second problum for 8
y=8+3
Add the 8 and the 3 to solve for y
y=11
Your answers
x=8
y=11
the correct answer would be A:(8,11)
Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
Answer:
The correct answer to the question is;
1 < x < <u>4</u>
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
