Answer: B) x + y = 17
1.60x + 2.45y = 34
Step-by-step explanation:
Cost of x = $1.60 per pound
Cost of y = $2.45 per pound
Total pounds of x and y = 17
Cost per pound of mixture = $2
Total number of pounds of the mixture :
x + y = 17
Since the cost per pound of the mixture = 2
Hence ;
(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)
(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)
1.60x + 2.45y = 2 * 17
1.60x + 2.45y = 34
Answer:
29.7
Step-by-step explanation:
The remaining distance is the total distance less the distance driven so far:
... 236.5 -69.4 -67.9 -69.5 = 29.7
Equation: 10x + 5y = 4
5y = -10x + 4
Divide the equation by 5,
y = -2x + 4/5
Now Compare it with, y = mx + c
Here,m = -2
In short, Your Answer would be Option D
Hope this helps!
Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
![a_n=a+(n-10)d.](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-10%29d.)
Since there are n logs in the pile, so we get
![a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.](https://tex.z-dn.net/?f=a%2B%28n-1%29d%3D2%5C%5C%5C%5C%5CRightarrow%2032%2B%28n-1%29%28-6%29%3D2%5C%5C%5C%5C%5CRightarrow%2032-6n%2B6%3D2%5C%5C%5C%5C%5CRightarrow%206n%3D36%5C%5C%5C%5C%5CRightarrow%20n%3D6.)
Thus, the total number of logs in the pile is 6.
Answer:
0.04
Step-by-step explanation:
1. 9/10 = 0.9 and 13/15 = 0.86
2. Subtract 0.9 and 0.86
3. You should end up with 0.04
Remember when a number goes like 0.86666666666 to use 0.86 or if it has 0.86666666667 to use 0.87 because you would be simplifying it.