If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or

.

can be simplified to

, which means we need to work out

of 12.2

is equivalent to 20%, which as a decimal is 0.2
0.2 x 12.2 = 2.44 - however, this is how much he has
used, and we need to figure out how much is left.
12.2 - 2.44 = 9.76
So, Ian has 9.76 oz remaining :)
He sold 87 muffins.
28.50 / 0.75=38 muffins, thats how much he had to sell to get hes money back on the supplies.
36.75 / 0.75=49 muffins, the profit money equals to 49 muffins, so 38+49=87
Answer:
None of the equations are true for p = 3.4
Step-by-step explanation:
In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:
A. 3p < 10.2
3*3.4 < 10.2
10.2 < 10.2
Not true, since the left side is equal to the right side and not less.
B. 13.6 < 3.9p
13.6 < 3.9*3.4
13.6 < 13.26
Not true since 13.6 is greater than 13.26
C. 5p > 17.1
5*3.4 > 17.1
17 > 17.1
Not true since 17 is less than 17.1
D. 8.5 > 2.5p
8.5 > 2.5*3.4
8.5 > 8.5
Not true since the left side is equal to the right side.
We know that
Law of sines established
a/sin A=b/sin B=c/sin C
then
a/sin A=c/sin C------------> a=c*sin A/sin C---------> a=6*sin 19/sin 102
a=1.91 units <span>≈2 units
A+B+C=180</span>°----------> B=180-(A+C)-----> B=1180-(19+102)
B=59°
a/sin A=b/sin B-----------> b=a*sin B/sin A----->2*sin 59/sin 19
b=5.27 units <span>≈5.3 units</span>
the answer is the option
B = 59°, a ≈ 2, b ≈ 5.3