Answer:
It will take 1.5 hours to paint the room together
Step-by-step explanation:
Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours.
Work done by Martha in 1 hour = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Work done by Jamie in 1 hour = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Work one together in 1 hour = ![\frac{1}{2}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B6%7D)
Now take common denominator to add both fractions
LCD = 6, Multiply the first fraction by 3
![\frac{1*3}{2*3}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A3%7D%7B2%2A3%7D%2B%5Cfrac%7B1%7D%7B6%7D)
![\frac{3}{6}+\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B6%7D)
Now add the numerators
![\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D)
![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
To find total hours of painting together, we take reciprocal of 2/3
Time taken to paint together = ![\frac{3}{2}= 1.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%3D%201.5)
It will take 1.5 hours to paint the room together
Complete question is;
Mia is tracking her savings account balance. She knows the equation y = 8000p^(t) can be used to find her balance y in any year t, but she can't remember what p represents. Her balance 3⅔ years after opening her account, is $9,905.54. What is the value of p?
Answer:
p = 1.06
Step-by-step explanation:
We are told that the equation y = 8000p^(t) can be used to find her balance y in any year t.
Now, we are given t = 3⅔ = 11/3 years
Also, we are given balance after 11/3 years as;
y = $9,905.54
Thus;
Plugging the relevant values into y = 8000p^(t), we have;
9,905.54 = 8000p^(11/3)
p^(11/3) = 9905.54/8000
p = (9905.54/8000)^(3/11)
p = 1.06
Answer:
54
Step-by-step explanation:
x+2x+2x=5x
90/5=18
18*3=54
Answer:
126°
Step-by-step explanation:
Triangle ZYW and triangle XYW are congruent (SAS), so you m∠WYX = m∠WYZ = 63°. Since m∠XYZ = m∠WYX + m∠WYZ, we can figure out that m∠XYZ is 126°.