Answer:
s ≥ 911
Step-by-step explanation:
Let
s = number of cans Shane could collect
Abha collected 178 more cans than Shane did.
Abha = s + 178
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling
Number of cans collected by Shane + number of cans collected by Abha ≥ 2000
s + 178 + s ≥ 2000
2s + 178 ≥ 2000
2s ≥ 2000 - 178
2s ≥ 1,822
Divide both sides by 2
s ≥ 1,822 / 2
s ≥ 911
Exact form: 34/5
Decimal Form: 6.8
Mixed Number Form: 6 4/5
Hope this helps!
Answer:
301.44
Step-by-step explanation:
Equation for the volume of a cone: V = π
Here, r = 6 and h = 8.
V = π
V = 3.14 * 
* 
V = 3.14 * 36 *
V = 301.44
Or, in exact terms of π, 96π.
let's firstly convert the mixed fractions to improper fractions and then add them up.
![\bf \stackrel{mixed}{36\frac{4}{9}}\implies \cfrac{36\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{329}{9}} \\\\\\ \stackrel{mixed}{10\frac{2}{9}}\implies \cfrac{10\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{92}{9}}~\hfill \stackrel{mixed}{18\frac{2}{9}}\implies \cfrac{18\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{164}{9}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B36%5Cfrac%7B4%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B36%5Ccdot%209%2B4%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B329%7D%7B9%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B10%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B10%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B92%7D%7B9%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B18%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B18%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B164%7D%7B9%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
brainly.com/question/1962219
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