Divide 2/3 by 3/64 and you will get the number of cups of punch. It doesn't come out evenly, but that's the way to do this.there is a total of 2/3 gallon of punch. Each guests has a cup of 3/64 gallon of punch. Now many 3/64 gallon of punch can you fit in 2/3 gallon of punch, that will tell you how many guests there are. so naturally we want to divide<span> ( 2/3 ) / ( 3/64).</span>
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Answer:
<em>The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.</em>
Step-by-step explanation:
Material for a dress costs £5.50 per meter.
We know that, <u>1 meter = 100 cm</u>.
Suppose, the cost of 10 cm material is
and the cost of 70 cm material is ![y](https://tex.z-dn.net/?f=y)
Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......
![\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B10%7D%20%3D%5Cfrac%7B5.50%7D%7B100%7D%5C%5C%20%5C%5C%20100x%3D10%2A5.50%3D55%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B55%7D%7B100%7D%3D0.55)
and
![\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B70%7D%20%3D%5Cfrac%7B5.50%7D%7B100%7D%5C%5C%20%5C%5C%20100y%3D70%2A5.50%3D385%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B385%7D%7B100%7D%3D3.85)
So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85
Answer:
Step-by-step explanation:
LOGb(x)=y
4^5=1024
= log(4)1024=5