Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
![5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h](https://tex.z-dn.net/?f=5%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%201%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B16%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B5%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B20%7D%7B3%7D%5C%20h%5C%5C%5C%5C%3D6%5Cdfrac%7B2%7D%7B3%7D%5C%20h)
Pauls worked for :
![\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%205%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B16%7D%7B3%7D%5C%5C%5C%5C%3D4%5C%20h)
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
<span>y = –x + 6
y = 2x – 3 There you go!
</span>
Answer:
408
Step-by-step explanation: