Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
Answer:
A= 27500 seats, B= 14200 seats, C= 13300 seats
Step-by-step explanation:
a=b+c
a+b+c=55000 seats
30a+24b+18c=1405200 dollars
substitue a for b+c
b+c+b+c=55000
30(b+c)+24b+18c=1405200
seats 2b+2c=55000 --> divide by 2 on both sides b+c=27500 --> c=27500-b
dollars 30b+30c+24b+18c=1405200 --> 54b+48c=1405200 divide by 6 --> 9b+8c=234200
substitute c for 13750-b
9b+8(27500-b)=234200
9b+220000-8b=234,200
b=14,200 seats
c=27500-b=27500-14200=13300 seats
a=55000-b-c=55000-27500=27500 seats
Answer:
Step-by-step explanation:
<u>Lets verify with Pythagorean:</u>
- 17² = 289
- 13² + 14² = 169 + 196 = 365
- 289 < 365
The angle opposite to a greater side is less than 90° and the sum of the squares are close.
It means all three angles<u> are less than 90°</u>.
With this the triangle is <u>acute</u>.
Correct choice is A.
Answer:
y = 30x + 20
Step-by-step explanation:
y = mx + b
find b
b=20
find m
m=30
