For every 5 green picks, 2 are orange. Adding 5+2 makes 7. 21/7 = 3
There are 3 sets of 5 green 2 orange picks. So 2*3 = 6.
There should be 6 orange picks.
You can also just count. 5 + 2 = 7. Adding another 5 picks = 7 + 5 + 2 = 14. Another 5 picks, 14 + 5 + 2 = 21. Adding up the orange picks, which is the twos, we get 6.
Question 1143037: How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol? That equals 3.2 gallons pure, checks.
Answer:
86.53
Step-by-step explanation:
Area of Triangle Formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Step 1: Draw altitude and label numbers
If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find <em>h</em> using Pythagorean Theorem in order to use area formula:
3² + b² = 29²
b² = 29² - 3²
b = √832 = h
Step 2: Plug in known variables into area formula:
A = 1/2(√832)(6)
A = 3√832
A = 86.5332
Since they are similar, the dimensions are in the same ratio. L1 = 5, L2 = 15, so they are in a 3:1 ratio. So if V1 = 60, then W1×H1 = 60/5 = 12
W2 must also be 3×W1 and H2 3×H1, and
3×3 = 9. So take 12×9 (W×H1×9) ×15 (L2) = V2
V2 = 12×9×15 = 1620 cm^3
Let me know the right answer when you find out!
