if she read 11/2 = 2 1/2 in and hour she would read 2 1/2*2 of 2 1/2+2 1/2 =5
she read 5 chapters and plz
Brainly
Answer:
x = -1
Step-by-step explanation:
-4x + 7 - 7 = 11 - 7
-4x = 4
-4x/-4 = 4/-4
x = -1
![\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b](https://tex.z-dn.net/?f=%5Cmathrm%7Bgcd%7D%28a%2Cb%29%3D9%5Cimplies9%5Cmid%20a%5Ctext%7B%20and%20%7D9%5Cmid%20b%5Cimplies9%5Cmid%20a%2Bb)
which means there is some integer
![k](https://tex.z-dn.net/?f=k)
for which
![a+b=9k](https://tex.z-dn.net/?f=a%2Bb%3D9k)
.
Because
![9\mid a](https://tex.z-dn.net/?f=9%5Cmid%20a)
and
![9\mid b](https://tex.z-dn.net/?f=9%5Cmid%20b)
, there are integers
![n_1,n_2](https://tex.z-dn.net/?f=n_1%2Cn_2)
such that
![a=9n_1](https://tex.z-dn.net/?f=a%3D9n_1)
and
![b=9n_2](https://tex.z-dn.net/?f=b%3D9n_2)
, and
![\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42](https://tex.z-dn.net/?f=%5Cmathrm%7Blcm%7D%28a%2Cb%29%3D%5Cmathrm%7Blcm%7D%289n_1%2C9n_2%29%3D9%5Cmathrm%7Blcm%7D%28n_1%2Cn_2%29%3D378%5Cimplies%5Cmathrm%7Blcm%7D%28n_1%2Cn_2%29%3D42)
We have
![42=2\cdot3\cdot7](https://tex.z-dn.net/?f=42%3D2%5Ccdot3%5Ccdot7)
, which means there are four possible choices of
![n_1,n_2](https://tex.z-dn.net/?f=n_1%2Cn_2)
:
1, 42
2, 21
3, 14
6, 7
which is to say there are also four corresponding choices for
![a,b](https://tex.z-dn.net/?f=a%2Cb)
:
9, 378
18, 189
27, 126
54, 63
whose sums are:
387
207
153
117
So the least possible value of
![a+b](https://tex.z-dn.net/?f=a%2Bb)
is 117.
Answer:
62.8 ft²
Step-by-step explanation:
The area (A) of the sector is calculated using the formula
A = area of circle × fraction of circle
= π × 4² × ![\frac{\frac{5\pi }{2} }{2\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B5%5Cpi%20%7D%7B2%7D%20%7D%7B2%5Cpi%20%7D)
= π × 16 × ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
= π × 20 = 20π ≈ 62.8 ft²