Answer: The budget of Alexa is increased by $100.
Explanation:
It is given that the current income of Alexa is 3 times of her previous income.
Her previous salary was $800 and current salary was $2400.
Expenses = Rent + Utilities + Groceries + Savings + Bus
The sum of previous expenses is,
Previous expenses = $300 + $60 + $200 + $100 + $30 = $690
The sum of current expenses is,
Current expenses = $300 + $60 + $250 + $150+ $30 = $790
Effect of income on expenses is the difference of current expenses and previous expenses.
Effect of income on expenses = $790 - $690 = $100
Therefore, the budget of Alexa is increased by $100.
Answer:
The ratio for sin(X) is 
The ratio for cos(X) is 
Step-by-step explanation:
- The ratio of the sine of a right triangle is:
Since we need the ratio for angle X, 
. From the picture we can infer that the opposite side of X is 
. The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:
- The ratio of the cosine is:
Similarly, , adjacent side = 5, and hypotenuse = 12, so
Hello!
The time difference between checkpoint 1 and checkpoint 2 is an hour and a half.
At checkpoint A, the total amount of miles driven is 120. At checkpoint B, the total amount of miles driven is 195.
To find the amount of miles driven between checkpoint 1 and 2, you will subtract the amount of miles at checkpoint 1 from checkpoint 2:
195-120= 75
The car drove 75 miles between 1:00pm to 2:30 pm. Because the total time between the checkpoints was an hour and a half, we can divide it by three (90 minutes total). We also need to divide the number of miles (75) by three to find an accurate answer.
90/3=30
75/3=25
The car drove 25 minutes in half an hour. Now, one hour consists of 60 minutes, so we will multiply both calculations by 2 (for the total hour and the total amount of miles driven in the hour):
30x2=60
25x2=50
The car drove 50 miles per hour between checkpoints A and B.
I hope this helps you! Have a great day!
Answer:
1 in 144
Step-by-step explanation:
There is one 8 on a 12-sided die, so the probability of rolling an 8 once is 
.
We are rolling twice, so 
.
