Answer:
Step-by-step explanation:
If the variables x and y vary inversely, this is expressed as;
x ∝ 1/y
x = k/y
k is the constant of proportionality
Given;
x = 7/2 and y = 3/5
Substitute;
7/2 =k/(3/5)
Cross multiply
k = 7/2 * 3/5
k = 21/10
Substitute the value of k into the formula;
x = k/y
x = (21/10)/y
x = 21/10 * 1/y
x = 21/10y
Hence the equation relating x and y is x = 21/10y
Answer:
(7, 2).
Step-by-step explanation:
The median from A intersects BC at it's midpoint.
To find the midpoint of BC:
This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2) and where y1
= (sum of the y_values of B and C) / 2)
This is (2+12)/2, (1 + 3)/2
= (7, 2).
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer: The system that models this situation is:
{p+m=50.6p+0.2m=0.6×5
This system can be solved by substitution or elimination. One possible solution is:
Multiply the second equation by 5 to eliminate the fractions:
{p+m=53p+m=15
Subtract the first equation from the second equation to eliminate m:
2p=10
Solve for p:
p=210=5
Substitute p into the first equation to find m:
m=5−p=5−5=0
The solution is (p, m) = (5, 0), which means Delaney needs 5 lb of peanuts and 0 lb of mixture.
Another possible solution is:
Multiply the first equation by -0.2 to eliminate m:
{−0.2p−0.2m=−10.6p+0.2m=3
Add the two equations to eliminate m:
0.4p=2
Solve for p:
p=0.42=5
Substitute p into the first equation to find m:
m=5−p=5−5=0
The solution is (p, m) = (5, 0), which means Delaney needs 5 lb of peanuts and 0 lb of mixture.
Therefore, the only correct option among the given choices is 4 lb peanuts and 1 lb mixture.
Answer:
no...
Step-by-step explanation: