A hot air balloon leaves the ground and rises to an elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over a school. What is the elevation of the balloon when it passes over the school?
A.
1,025 feet
B.
1,100 feet
C.
1,175 feet
D.
1,550 feet
To find the elevation of the balloon when it passes over the school, we need to subtract the total amount the balloon descends from 1,100 feet and add the total amount it rises.
The balloon descends 500 feet, rises 950 feet, and descends 375 feet:
1,100 - 500 + 950 - 375 = 2,175 - 875 = 1,300 feet.
Therefore, the elevation of the balloon when it passes over the school is 1,300 feet.
The correct answer is not listed in the options given.
Aaron works 3 1/2
hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?
A.
$95.70
B.
$101.50
C.
$108.90
D.
$115.50
To find the amount Aaron will be paid in his next paycheck, first, we need to calculate his current rate of pay:
Aaron's current rate of pay is $7.25 per hour.
Next, we need to calculate his current earnings per week:
Aaron works 3 1/2 hours every Saturday, which is equivalent to 7/2 hours.
Earnings per week = hours worked per week * rate of pay
Earnings per week = (7/2) * $7.25
Earnings per week = $25.375
Since Aaron is paid every four weeks, his current earnings per paycheck would be:
Current earnings per paycheck = Earnings per week * Number of weeks in a paycheck
Current earnings per paycheck = $25.375 * 4
Current earnings per paycheck = $101.50
Finally, we need to calculate Aaron's new rate of pay:
Aaron is given a $1.00 raise, so his new rate of pay would be $7.25 + $1.00 = $8.25 per hour.
Using the new rate of pay, we can calculate his new earnings per paycheck:
New earnings per paycheck = Earnings per week * Number of weeks in a paycheck
New earnings per paycheck = ($8.25 * 7/2) * 4
New earnings per paycheck = $57.75 * 4
New earnings per paycheck = $115.50
Therefore, Aaron will be paid $115.50 in his next paycheck.
The correct answer is D. $115.50
What is the value of the expression 2/3(-6+4)
?
A.0
B.-2/3
C.4/3
D.-4/3
To evaluate the expression 2/3(-6+4), we first simplify the expression inside the parentheses:
-6 + 4 = -2
Now we can substitute this value back into the expression:
2/3(-2)
To multiply a number by a fraction, we can multiply the number by the numerator and divide by the denominator:
2/3 * -2 = (2 * -2) / 3 = -4/3
Therefore, the value of the expression 2/3(-6+4) is -4/3.
The correct answer is D. -4/3.
Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned 1/3
of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?
A.
$19.13
B.
$21.25
C.
$30.33
D.
$42.50
To find out how much Jason earned babysitting, we first need to calculate the total cost of the skateboard and helmet:
Total cost = cost of skateboard + cost of helmet
Total cost = $45.50 + $18.25
Total cost = $63.75
We know that Jason earned 1/3 of the money by mowing lawns, so the amount he earned babysitting can be found by subtracting 1/3 of the total cost from the total cost:
Amount earned babysitting = Total cost - (1/3 * Total cost)
Amount earned babysitting = $63.75 - (1/3 * $63.75)
Amount earned babysitting = $63.75 - $21.25
Calculating this expression:
Amount earned babysitting = $42.50
Therefore, Jason earned $42.50 babysitting.
The correct answer is D. $42.50.