Answer: option A is the correct answer.
Step-by-step explanation:
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.
If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes
p = kn
2.52 = k × 6
k = 2.52/6 = 0.42
Therefore, the equation representing the relationship is
p = 0.42n
Answer:
Step-by-step explanation:
Initial value is $400
Value after 9 years is zero
Change in value over 9 years is $400
<u>Rate of change is:</u>
Answer:
0.2584
Step-by-step explanation:
12 (–1.4m + 0.4) = m + 0.2
Open the bracket
-16.8m + 4.8 = m + 0.2
collect like terms
-16.8m - m = -4.8 + 0.2
-17.8m = -4.6
Divide both sides by -17.8
m = 4.6/17.8 = 46/178
m = 0.2584
<u>Question 1 solution:</u>
You have two unknowns here:
Let the Water current speed = W
Let Rita's average speed = R
We are given <em>two </em>situations, where we can form <em>two equations</em>, and therefore solve for the <em>two unknowns, W, R</em>:
Part 1) W→ , R←(against current, upstream)
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water<span>:
</span>R–W=2 - equation 1
Part 2) W→ , R<span>→</span>(with current)
Therefore, R+W=3 - equation 2
From equation 1, W=R-2,
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr
So when W=0 (still), R=5/2mi/hr
Finding the water speed using the same rearranging and substituting process:
1... R=2+W
2... (2+W)+W=3
2W=1
W=1/2mi/hr
Answer:
2x+9y=18
Step-by-step explanation:
Distribute the denominator
y=-2/9x+2
9y=-2x+2
9y+2x=2
im sorry if this is wrong
