Answer:
y is equal to 2 and x is equal to 31 degrees.
Step-by-step explanation:
In order to find this, we must note that similar parts of congruent triangles are congruent. Since y is congruent to the part that is labeled 2, then it is an easy comparison.
x is a bit trickier. For this one, we must find the missing angle of the first triangle. To get that, we must subtract the given angle and the right angle from 180. This will give us x.
180 - 59 - 90 = x
31 = x
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
Answer:
20%
Step-by-step explanation:
52 of 260 can be writen as:
52
260
Multiply both numerator & denominator by 100
52
260
×
100
100
=
20
100
= 20%
If you are using a calculator, simply enter 52÷260×100 which will give you 20 as the answer.
Answer:
if Bobs want to make $6000 commission he needs to make $120,000 sales.
*choices d
Step-by-step explanation:
in $3000, the 5% of Bobs commission is $150
*solution
5% is equivalent to 0.05 in decimal
3000 × 0.05 = 150
so just divide the 5% to $6000 to get the sales
*solution
$6000 ÷ 0.05 = $120,000
7tens= 70 3ones= 3
So 70+3=73
