Answer:
<h2>a = 400/21, b = 580/21</h2>
Step-by-step explanation:
Small triangles are similar. Therefore, the sides are proportional
<em>cross multiply</em>
<em>divide both sides by 21</em>

For b, we can use the Pythagorean theorem:

Let T = cost of a taco
Let S = cost of a salad
(2 tacos + 1 salad) + (8 % of 2 tacos and 1 salad) + 3 = 13.80
2T + S + .08(2T + S) + 3 = 13.80
2T + 2.5 + .08(2T + 2.5) + 3 = 13.80
2T + 2.5 + .16T + .20 + 3 = 13.80
2.16T + 5.7 = 13.80
2.16T = 8.10
T = 8.10/2.16 = $3.75
Check: 2T + S + .08(2T + S) + 3 = 13.80
2(3.75) + 2.50 + .08(2(3.75)+2.5) + 3 = 13.80
7.5 + 2.5 + .08(10) + 3 = 13.8
13.80 = 13.80
Answer checks as correct
The answer is x=7 and y=3
Answer:
1/12, 1/10
Step-by-step explanation:
P(Bead bracelet and red shoes) - 3/3 x 2 x 2
3/12=1/4 for bead bracelet
Red shoes - 1/3
Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12
P(Elastic bracelet and black shoes)
2/3 x 2 x 2
2/12=1/6 for elastic bracelet
Black shoes - 3/5
Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10
Hope I helped!