If they ask you to find the rate of change, they're basically just asking for you to use the slope formula. In this case, you would use the coordinates (2, 140) and (7, 480).
Once you have those, plug them into y2 - y1 / x2 - x1.
I got 68. But do it yourself to check.
Hope this helped!
We know that
[volume of a prism]=L*W*H
L=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
W=3 1/2 in-------> (3*2+1)/2--------> 7/2 in
H=7 in
so
[volume of a prism]=(7/2)*(7/2)*7--------> 85.75 in³
[the difference in volume between the prism and the storage container]=90-85.75------------> 4.25 in³ (4 1/4 in³)
the answer is 4.25 in³ (4 1/4 in³)
Convert 7/8 and 4/5 into common denominators using 40; 28/40 and 32/40, multiply those to get 22.4. Divide 7 by 20 to get 0.35. Divide 22.4 by 0.35 for an end quotient of 64.
Answer:
$19.68
Step-by-step explanation:
To find out how much it'll cost Melissa to buy the ribbon, we simply need to find all the side lengths (the perimeter) and then multiply then by the cost.
We already know two of the side lengths: 6 and 8. To find the third, remember that the question tells us that the triangle is a right triangle. Therefore, we can use the Pythagorean Theorem. The unknown side is the longest side. Therefore:
Substitute 6 for a and 8 for b. This gives us:
Solve for c. Square the values:
Add:
Take the square root of both sides:
Therefore, our unknown side is 10 feet.
Therefore, the sum of our side lengths or the perimeter is:
Add:
This means that the total cost will be:
Multiply. The foot/feet cancel:
Multiply:
So, it will cost Melissa a total of $19.68 to buy the ribbon.
And we're done!
Edit: Typos