Answer:
- <u>120 pens and 200 pencils.</u>
<u></u>
Explanation:
You can set a system of two equations.
<u>1. Variables</u>
<u />
- x: number of pens
- y: number of pencils
<u>2. Cost</u>
- <em>each pen costs</em> $1, then x pens costs: x
- <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y
- Then, the total cost is: x + 0.5y
- The cost of the whole purchase was $ 220, then the first equation is:
x + 0.5y = 220 ↔ equation (1)
<u>3. </u><em><u>There were 80 more pencils than pens</u></em>
Then:
pencils = 80 + pens
↓ ↓
y = 80 + x ↔ equation (2)
<u>4. Solve the system</u>
i) Substitute the equation (2) into the equation (1):
ii) Solve
iii) Substitute x = 120 into the equation (2)
Solution: 120 pens and 200 pencils ← answer
Answer:
C. 125
Step-by-step explanation:
Given:
Bacteria on day 1 = 5
On day 2, each bacteria got split into 5.
So, number of bacteria on day 2 = 
Now, again on day 3, each of the 25 bacteria got split into additional 5 bacteria.
So, number of of bacteria on day 3 = 
Therefore, the population of bacteria on day 3 is 125.
Answer:
b
Step-by-step explanation:
Answer:13
Step-by-step explanation:
By reading the given graph with the two linear functions, we want to see at which time do the two bees have the same distance remaining. We will see that the correct option is B, 6 minutes.
So, in the graph, we have distance remaining on the vertical axis and time on the horizontal axis.
We also have two lines, each one describing the distance of each bee as a function of time.
We want to see at which time do the two bees have the same distance remaining, thus, we need to see when the lines intersect (this means that for the same time, the two bees have the same distance remaining).
In the graph, we can see that the intersection happens at the time of 6 minutes, thus the correct option is B; 6 minutes.
If you want to learn more about linear function's graphs, you can read:
brainly.com/question/4025726