Answer:
Cost of a pound of chocolate chips: $3.5
Cost of a pound of walnuts: $1.25
Step-by-step explanation:
x - cost of a pound of chocolate chips
y - cost of a pound of walnuts
We create two equations based on the information we have:
3x+2y=13
8x+4y=33
The whole point of these problems os to get rid of x or y. In this question, we can do this by multiplying both sides of the first equation by 2, and then subtracting it from the second equation:
8x+4y=33
6x+4y=26
2x=7
x=3.5
Then we change x for 3.5 in the first equation:
3×3.5+2y=13
10.5+2y=13
2y=2.5
y=1.25
Hope this helps!
Answer:
The no. of variations in sign is 3
Step-by-step explanation:
Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.
Therefore, the determination of the number of changes in sign in the given sequence is must.
Therefore, we take the product of the pair of consecutive terms as:
= - 3, variation in sign
= - 6, variation in sign
= 10, no sign variation
= - 20, variation in sign
= 24, no sign variation
Answer:
y=-3x-16
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3(x-(-3))
y+7=-3(x+3)
y=-3x-9-7
y=-3x-16
If you add all of the numerators together
3+57+13= 73
Then you would divide that number by 4
73/4= 18.25
So the course would be 18.25 or 18 1/4 miles long.
