Answer:
1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A
Step-by-step explanation:
1. Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10
2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.
3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.
4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.
5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.
Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.
Answer:
see the explanation
Step-by-step explanation:
Let
x ---> kilograms of cement needed
y ----> kilograms of sand needed
z ----> kilograms of gravel needed
we know that
----> 

Divide 480 by 8
----> scale factor
Multiply the scale factor by the ratio 
<em>Find out the kilograms of cement needed</em>

<em>Find out the kilograms of sand needed</em>

<em>Find out the kilograms of gravel needed</em>

Answer:
90
Step-by-step explanation:
add the ratio 3+5 to get 8
amina received 3/8 of 240
perform the calculation 3/8×240
240/8=30. , 30×3=90
Answer:
<u>Assunming that the equation is y = -16x² +85x, I suggest Dario find a new profession. He kicks the ball 133 feet high, but it only travels 2.7 feet downfield at that point. It will have travelled 2*2.7 feet or 5.4 feet horizontal when it returns to ground.</u>
Step-by-step explanation:
We can answer the question of how hiogh and far the ball travels (in feet) by either of two methods. The first is to differentiate the equation and set it equal to 0, and the second is the graph it and look for the vertex and x intercept.
<u>Differentiate</u>
y = -16x² +85x
The first derivative produces an equation that gives us the slope of the line at any point x. At the ball's top height, it stops and reverses direction, a point at which the slope is zero.
y = -16x² +85x
d(y)/d(x) = -32x + 85
0 = -32x + 85
32x = 85
x = 2.66 feet horizontal distance when the ball reaches its peak.
At x = 2.66, y is 112.9 feet high
When the ball returns, it adds amnother 2.66 feet to the horizontal distance, for a total of 5.4 feet.
Graph:
See attached plot of the function.
Horizontal distance is 2.66 feet and height is 133 feet. The x-intercept is at 5.4 feet.
After all that, the ball only travelled downfield (we hope downfield) a total of 5.4 feet.