Answer: About 14.14 in^3
Step-by-step explanation:
We know that the circumference of a sphere is C=2πr. We are given that the circumference is 9.42 in. We can find the radius to get our volume.
Now that we know radius, we can find our volume.
Megan uses 2/3 cup of almonds to make 4 cups of trail mix. Using this same proportion how many cups of almonds would Megan need
to make 9 cups of trail mix?
1 answer:
Answer:
Megan needs 1 and 1/3 cup of almonds to make 9 cups pf trail mix.
Step-by-step explanation:
I'm not good with ratios and fractions so I drew an illustration.
I found out that 1/6 of almond cup is equivalent to 1 cup of trail mix.
So I add 2/3+2/3+1/6
I changed the denominator of 2/3 to 6 and divided 6 by 3 then multiply the answer by 2, then the product will be the numerator.
(6÷3) = 2 (2x2) =4
So, 4/6+4/6+1/6= 9/6
Simply the sum and it will be 1 and 1/3.
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First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is . The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form lies on y-axis.
Hope this helps :)