I believe the correct answer is B. :)
I am presuming that the question is who won or by how much did the winner win.
distance equals rate times time, or d = r*t
For the Hare d = 1600 and r = 10
1600 = 10 t
Divide both sides by 10
t = 160
The hare finished in 160 seconds
For the tortoise d = 1600 - 780 = 820 (due to the head start) and r = 5.3
820= 5.3 t
Divide both sides by 5.3
t = 154.72 (rounded to the hundredths place)
The tortoise won by 5. 28 seconds (160-154.72)
18-carat gold is 75 percent pure, and gold ratings are proportional, you know that...
<span>18 / 75 = 24 / x </span>
<span>X needs to have the same relationship to 24 that 75 has to 18. </span>
To solve, simply cross-multiply (multiply the numerator in one fraction by the denominator in the opposite fraction, and vice versa). The resulting products will be equal. Then, simply divide away the remaining coefficient to solve for x.
<span>18 / 75 = 24 / x </span>
<span>18x = 24 * 75 = 1800 </span>
<span>x = 1800 / 18 = 100 </span>
<span>x = 100 </span>
<span>Therefore, the purity of 24 carat gold is 100%.</span>
Answer:
A) 30°
Step-by-step explanation:
Sum of three angles of a triangle = 180°
75° +75° + ∠WYZ = 180°
Add like terms
150° + ∠WYZ = 180°
Subtract 150°from both sides
∠WYZ = 180 - 150
∠WYZ = 30°