Answer:
8 oranges and
4 bananas
Step-by-step explanation:
Let the number of oranges be A and that of bananas be B
Given she bought oranges and bananas,She bought 12 pieces of fruits
That’s
A + B = 12
Also
Oranges cost = $0.50
Bananas cost = $0.25
She spent a total of $5
That’s
0.50A + 0.25B = 5
We now have two equations
1. A + B = 12
2. 0.50A + 0.25B = 5
Multiply equation 1 by 0.50 and equation 2 by 1 to eliminate A
We have
0.50A + 0.50B = 6
0.50A + 0.25B = 5
Subtract equation two from equation one
0.25B = 1
Divide both sides by 0.25 to isolate B
0.25B/0.25 = 1/0.25
B = 4
Now substitute 4 for B in either equation to get A
Using equation 1, we have
A + B = 12
A + 4 = 12
Subtract 4 from both sides
A + 4 - 4 = 12 - 4
A = 8
Erica bought 8 oranges and 4 bananas
Check
A + B = 12
8 + 4 = 12
Answer:
a. The Mexican Airline offers a better deal for 9 students to travel.
b. 10 students
Step-by-step explanation:
a. The Mexican Air airline offers a round trip airfare of $250 per person.
So, for 9 students the fare will be total $(250 × 9) = $2250
Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.
So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.
Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)
b. Let for x students both the airline offers the same total costs.
Then we can write
250x = 1000 + 150x {From the conditions given}
⇒ 100x = 1000
⇒ x = 10
So, if the number of students is 10, then only both the airlines will take same fare. (Answer)
Hello there!
An outlier is a number that is far away from the others. In this data set, all the numbers are between 47 and 54 EXCEPT for 4.
Find the difference between the greatest number: 54
54 - 53 = 1
54 - 49 = 5
54 - 48 = 6
54 - 47 = 7
54 - 4 = 50
The greatest differene is between 54 and 4. Therefore, the outlier is 4 because it is far from the other numbers.
Condense the logarithms on the left into one:
Assuming the base of the logarithm is 10, write both sides as powers of 10. This lets us eliminate the logarithm:
Divide both sides by 24 to solve for :