Answer:
D
Step-by-step explanation:
If we use the calculator will find out that x= √151/2 ≈ 6.1441
D. 6 < x < 7
x is less then 7 and greater than 6
Without the calculator you can think that 151 is almost 144 that is 12² so
we can approximate √151 to be a bit more then 12
√151/2 = a bit more then 12 /2 = 6 and a bit more
Answer:
Volume of a in z = 876 ounces
Step-by-step explanation:
For z, the ratio of x and y is 3 : 11
x : y = 3 : 11 , which means in 14 parts of solution z : x will be 3 parts and y will be 11 parts
So, in 2520 ounces solution of z ,
![x=\frac{2520*3}{14}=540\\y=\frac{2520*11}{14}=1980](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2520%2A3%7D%7B14%7D%3D540%5C%5Cy%3D%5Cfrac%7B2520%2A11%7D%7B14%7D%3D1980)
Volume of a in z = { Volume of a in x + Volume of b in x }
Therefore,
![Volume \thinspace of \thinspace a\thinspace in\thinspace x = 540\cdot \frac{2}{5} = 216\\Volume \thinspace of \thinspace b \thinspace in \thinspace x = 1980\cdot \frac{1}{3}=660](https://tex.z-dn.net/?f=Volume%20%5Cthinspace%20of%20%5Cthinspace%20a%5Cthinspace%20in%5Cthinspace%20x%20%3D%20540%5Ccdot%20%5Cfrac%7B2%7D%7B5%7D%20%3D%20216%5C%5CVolume%20%5Cthinspace%20of%20%5Cthinspace%20b%20%5Cthinspace%20in%20%5Cthinspace%20x%20%3D%201980%5Ccdot%20%5Cfrac%7B1%7D%7B3%7D%3D660)
So, Volume of a in z = 876 ounces
Answer:
<h2>
![A(55) = - 201](https://tex.z-dn.net/?f=A%2855%29%20%3D%20%20-%20201)
</h2>
Step-by-step explanation:
<h3>
![A(n) = 15 - 4(n - 1)](https://tex.z-dn.net/?f=A%28n%29%20%3D%2015%20-%204%28n%20-%201%29)
</h3>
Since we are finding the 55th term, n = 5 .
Substitute this value into the above formula
That's
<h3>
![A(55) = 15 - 4(55 - 1) \\ = 15 - 4(54) \\ = 15 - 216](https://tex.z-dn.net/?f=A%2855%29%20%3D%2015%20-%204%2855%20-%201%29%20%5C%5C%20%20%3D%2015%20-%204%2854%29%20%5C%5C%20%20%3D%2015%20-%20216)
</h3>
We have the final answer as
<h3>
![A(55) = - 201](https://tex.z-dn.net/?f=A%2855%29%20%3D%20%20-%20201)
</h3>
Hope this helps you
812-537=275; 275 more people attended the play on Saturday than on Friday.