Answer:
1.92
Step-by-step explanation:
Divide 12 by 23. Round 1.91666... to 1.92
80 Pounds, If its above 5, round up, below round down.
Use order of operations or PEMDAS
this is order of simplification
work from left to right
Parentahsees (grouping symbols)
Exponents
multiplication or division
addition or subtraction
so
replace a with 1, b=2 and c with -8
![-2(3(1)-6)^2+5(-8) / 4*(-3)-(-2(2))^3](https://tex.z-dn.net/?f=-2%283%281%29-6%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-2%282%29%29%5E3)
![-2(3-6)^2+5(-8) / 4*(-3))-(-2(2))^3](https://tex.z-dn.net/?f=-2%283-6%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29%29-%28-2%282%29%29%5E3)
![-2(-3)^2+5(-8) / 4*(-3)-(-2(2))^3](https://tex.z-dn.net/?f=-2%28-3%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-2%282%29%29%5E3)
![-2(-3)^2+5(-8) / 4*(-3)-(-4)^3](https://tex.z-dn.net/?f=-2%28-3%29%5E2%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-4%29%5E3)
now exponents
![-2(9)+5(-8) / 4*-3)-(-4)^3](https://tex.z-dn.net/?f=-2%289%29%2B5%28-8%29%20%2F%204%2A-3%29-%28-4%29%5E3)
![-2(9)+5(-8) / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-2%289%29%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-64%29)
multiply and divide, working from left to right (remember, division is multiplication by a fraction)
![-18+5(-8) / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-18%2B5%28-8%29%20%2F%204%2A%28-3%29-%28-64%29)
![-18-40 / 4*(-3)-(-64)](https://tex.z-dn.net/?f=-18-40%20%2F%204%2A%28-3%29-%28-64%29)
![-18-10*(-3)-(-64)](https://tex.z-dn.net/?f=-18-10%2A%28-3%29-%28-64%29)
![-18+30-(-64)](https://tex.z-dn.net/?f=-18%2B30-%28-64%29)
![-18+30-1(-64)](https://tex.z-dn.net/?f=-18%2B30-1%28-64%29)
![-18+30+64](https://tex.z-dn.net/?f=-18%2B30%2B64)
addition and subtraction
![12+64](https://tex.z-dn.net/?f=12%2B64)
Answer:
C. $199.84
Step-by-step explanation:
The price of an upholstery fabric is $ 12.49 per yard.
This means that 1 yard costs $ 12.49
Now we want to find the cost of 16 yards of the upholstery fabric.
We just have to multiply $12.49 by 16.
We multiply to obtain:
![12.49\times 16=199.84](https://tex.z-dn.net/?f=12.49%5Ctimes%2016%3D199.84)
Therefore 16 yards will cost $ 199.84
The correct answer is C.
Answer:
(a)
,
,
,
,
,
,
.
(b)
,
,
,
,
,
,
,
.
Step-by-step explanation:
In this exercise we only need to recall the formula for C(n,k):
![C(n,k) = \frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=C%28n%2Ck%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
where the symbol
is the factorial and means
.
By convention 0!=1. The most important property of the factorial is
, for example 3!=1*2*3=6.
(a) The explanations to the solutions is just the calculations.
.
(b) The explanations to the solutions is just the calculations.
For all the calculations just recall that 4! =24 and 5!=120.