Answer:
8 weeks
Step-by-step explanation:
p = 2w
p = total pieces = 16
then putting value in p = 2w
16 = 2w
divide by 2 on both side we get
16/2 = 2w/2
8 = w
where w is total weeks i.e 8
<span>The common denominator of the two fractions is: 8
</span><span>1/4 = (1*2)/(2*4) = 2/82/8 = (1*2)/(1*8) = 2/8
<span>Fractions adjusted to a common denominator1/4 + 2/8 = 2/8 + 2/82/8 + 2/8 = (2+2)/8(2+2)/8 = 4/84/8 = 1/2
The answer is 1/2.
hope this helps. </span></span>
Answer:
Rise/Run
Step-by-step explanation:
We begin with the <span> Turner Middle School:
Ratio of students to teachers: </span>
![\frac{620}{31}](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%7D%20)
Green Middle School:
Ratio of students to teachers:
![\frac{950}{38}](https://tex.z-dn.net/?f=%20%5Cfrac%7B950%7D%7B38%7D%20)
Let check that we cannot form a proportion:
![\frac{620}{31}=20\text{ and } \frac{950}{38}=25](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%7D%3D20%5Ctext%7B%20and%20%7D%20%5Cfrac%7B950%7D%7B38%7D%3D25)
The two ratios are not equals so we cannot form a proportion.
Let x be the number of <span>teachers that Green have to hire in order to make the two ratios equal. We get the equation:
</span>
![\frac{950}{38+x}=\frac{620}{31}\text{ and we solve the equation like this:}\\38+x=\frac{950\times31}{620}=47.5 \text{ and then:}\\x=47.5-38=9.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B950%7D%7B38%2Bx%7D%3D%5Cfrac%7B620%7D%7B31%7D%5Ctext%7B%20and%20we%20solve%20the%20equation%20like%20this%3A%7D%5C%5C38%2Bx%3D%5Cfrac%7B950%5Ctimes31%7D%7B620%7D%3D47.5%20%5Ctext%7B%20and%20then%3A%7D%5C%5Cx%3D47.5-38%3D9.5%20)
<span>
The Green school need to hire 9 teachers.
Part-to-whole ratio:
</span>Turner Middle School:
![\frac{620}{31+620}](https://tex.z-dn.net/?f=%20%5Cfrac%7B620%7D%7B31%2B620%7D%20)
Green Middle School:
If your solving for x it’s -3 but if your solving for h it’s 2