Answer:
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
Step-by-step explanation:
The original expression in this problem is
![5(\frac{1}{3}x+7)-3(\frac{1}{2}x-4)](https://tex.z-dn.net/?f=5%28%5Cfrac%7B1%7D%7B3%7Dx%2B7%29-3%28%5Cfrac%7B1%7D%7B2%7Dx-4%29)
We start by applying the distributive property and multiplying each factor outside the brackets by each factor inside:
![5\cdot \frac{1}{3}x+5\cdot 7 -3\cdot \frac{1}{2}x+3\cdot 4](https://tex.z-dn.net/?f=5%5Ccdot%20%5Cfrac%7B1%7D%7B3%7Dx%2B5%5Ccdot%207%20-3%5Ccdot%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%5Ccdot%204)
So we get:
![\frac{5}{3}x+35-\frac{3}{2}x+12](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7Dx%2B35-%5Cfrac%7B3%7D%7B2%7Dx%2B12)
Now we can rewrite this using mixed fractions:
(1)
Which can be also written as
(2)
And finally, by solving it, we find
(3)
So the three correct options are
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
Answer:
total blueberry muffin cooked by Antonio was 69
Step-by-step explanation:
total blue berry muffins =
- 46/100 × 150
- 46/2 × 3
- 23 × 3
- 69
3x^2(x-2)(4x-1) this is correct........
Answer:
y = -5x +23
Step-by-step explanation:
If the line is parallel it has the same slope, so we only have to solve for the y-intercept.
To get from (5,-2) the y increases by 25
So y = -5x +23