Answer:
(5/44)
Step-by-step explanation:
Total fraction of gerbils and hamsters left in the pet shop = 1
The ratio of hamsters to gerbils in the shop is 2:9.
Fraction of hamsters = (2/11) × 1 = (2/11)
The ratio of brown hamsters to grey hamsters is 3:5
What is the fraction of the animals left in the pet shop are grey hamsters?
= (5/8) × (2/11) = (5/44)
Hope this Helps!!!
Answer:
The actual distance between the two cities is ![100\ miles](https://tex.z-dn.net/?f=100%5C%20miles)
Step-by-step explanation:
we know that
Using proportion
![\frac{1}{25}\frac{inch}{miles}=\frac{4}{x}\frac{inches}{miles}\\ \\x=25*4\\ \\x=100\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B25%7D%5Cfrac%7Binch%7D%7Bmiles%7D%3D%5Cfrac%7B4%7D%7Bx%7D%5Cfrac%7Binches%7D%7Bmiles%7D%5C%5C%20%5C%5Cx%3D25%2A4%5C%5C%20%5C%5Cx%3D100%5C%20miles)
Answer:
Equation;
(3/4)x = 2/3
Solving;
x = 8/9
she would need 8/9 of her sugar to make a full batch.
Step-by-step explanation:
Let x represent the amount of sugar that would be needed to make the whole batch.
Given that;
Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.
Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;
(3/4)x = 2/3
Solving the equation, dividing both sides by 3/4;
(3/4)x ÷ 3/4 = 2/3 ÷ 3/4
x = 2/3 × 4/3
x = 8/9
Therefore she would need 8/9 of her sugar to make a full batch.
Answer:
3
Step-by-step explanation:
Answer:
2.11 sec
Step-by-step explanation:
Given that the ball is thrown from a height of 80 feet
it follows the equation
![h = 80-4t-16t^2](https://tex.z-dn.net/?f=h%20%3D%2080-4t-16t%5E2)
when the ball hits the ground the height if the ball is equal to 0
![16t^2+4t-80=0](https://tex.z-dn.net/?f=16t%5E2%2B4t-80%3D0)
![t=\frac{-4+\sqrt{4^2-4\times 16\times(-80)} }{2\times 16}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-4%2B%5Csqrt%7B4%5E2-4%5Ctimes%2016%5Ctimes%28-80%29%7D%20%7D%7B2%5Ctimes%2016%7D)
![t=\frac{-4+71.66}{32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-4%2B71.66%7D%7B32%7D)
![t=2.11](https://tex.z-dn.net/?f=t%3D2.11)