Answer:
$114.32
Step-by-step explanation:
Original Price: $132.52
increased: $34.65
Loyalty Club: -$57.80
Phone Fee: $4.95
You add all of them together, except for the Loyalty Club Fee. You subtract that fee by the total.
Consecutive numbers. X
X+1
X+2
Add them together. 3x + 3 = 33 + x
-3 -3
3x = 30+ x
-x. -x
2x = 30
X = 15
Answer:
<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>
<u>Use tangent:</u>
- tan x = 8/15
- x = arctan (8/15)
- x = 28.1° (rounded)
Answer: P=28 meters
Step-by-step explanation:
× a ⇒ a is the side length
× 
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
