Answer:
25/39
Step-by-step explanation:
For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."
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![1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}](https://tex.z-dn.net/?f=1%5Cdfrac%7B2%7D%7B3%7D%5Cdiv2%5Cdfrac%7B3%7D%7B5%7D%3D%5Cdfrac%7B5%7D%7B3%7D%5Cdiv%5Cdfrac%7B13%7D%7B5%7D%3D%5Cdfrac%7B5%7D%7B3%7D%5Ccdot%5Cdfrac%7B5%7D%7B13%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%5Ccdot5%7D%7B3%5Ccdot13%7D%3D%5Cboxed%7B%5Cdfrac%7B25%7D%7B39%7D%7D)
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<em>Additional comment</em>
Your graphing calculator can do this, too.
Solution
Problem 6
For this case we can do this:
12, 16,__, 14, 8, 7
We can solve for x like this:
![\frac{12+16+x+14+8+7}{6}=13](https://tex.z-dn.net/?f=%5Cfrac%7B12%2B16%2Bx%2B14%2B8%2B7%7D%7B6%7D%3D13)
![x=13\cdot6-(12+16+14+8+7)=21](https://tex.z-dn.net/?f=x%3D13%5Ccdot6-%2812%2B16%2B14%2B8%2B7%29%3D21)
Problem 7
F
Answer:
A
D
E
Step-by-step explanation:
A very simple example problem to satisfy the required above is,
"John has 8 apples and 17 oranges. How much more oranges does John has than apple?"
To answer this item, one needs to subtract the number of apples from the number of oranges. This is as shown below,
D = 17 - 8 = 9
The concept of "how much more than" is linked to finding the difference between the numbers.
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
<u>Volume = 84</u>
Hope this helps!