A hot air balloon leaves the ground and rises to the elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over the school. What is the elevation of the balloon when it passes over the school.
The balloon descends 500 feet and rises 950 feet, which results in a net increase in elevation of 950 - 500 = <<950-500=450>>450 feet.
After that, the balloon descends another 375 feet, bringing the net elevation increase to 450 - 375 = <<450-375=75>>75 feet.
The total elevation of the balloon when it passes over the school is therefore 1,100 + 75 = <<1100+75=1175>>1175 feet. Answer: \boxed{1175}.
Aar 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 with Aaron be paid in his next paycheck.
Aaron works 3 1/2 hours every Saturday, which is equivalent to 3.5 hours/week.
His rate of pay is $7.25 per hour, so he earns a total of 3.5 * $7.25 = $<<3.5*7.25=25.375>>25.375 per week.
Since his paycheck is issued every four weeks, his pay for four weeks is 4 * $25.375 = $<<4*25.375=101.5>>101.5.
After receiving a $1.00 raise, Aaron will earn $25.375 + $1.00 = $<<25.375+1=26.375>>26.375 per week.
Thus, his next paycheck will be for 4 * $26.375 = $<<4*26.375=105.5>>105.5. Answer: \boxed{105.5}.
the choices are
95.70
101.50
108.90
115.50
Since Aaron earns $25.375 per week, his pay for 4 weeks would be:
4 weeks * $25.375/week = $101.50
Therefore, Aaron will be paid $101.50 in his next paycheck. Therefore, the correct answer is \boxed{101.50}.
the value of this expression
2/3(-6 + 4)
To find the value of the expression, we'll start by solving the expression inside the parentheses:
-6 + 4 = -2
Next, we'll multiply the result by 2/3:
2/3 * -2 = -4/3
Therefore, the value of the expression 2/3(-6 + 4) is -4/3.
J is saving 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 babysitting. How much did J earn babysitting?
The total cost of the skateboard and helmet is $45.50 + $18.25 = $<<45.5+18.25=63.75>>63.75.
J earned 1/3 of the money by mowing lawns, which is (1/3) * $63.75 = $<<1/3*63.75=21.25>>21.25.
Therefore, J earned $63.75 - $21.25 = $<<63.75-21.25=42.50>>42.50 by babysitting. Answer: \boxed{42.50}.
Solve this
1/3(-18) divided by -3
To solve this expression, we'll start by simplifying the numerator:
1/3 * (-18) = -6
Now, we divide -6 by -3:
-6 ÷ -3 = 2
Therefore, 1/3(-18) divided by -3 equals 2.
Do this -1/2 divided by -2/3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
So, we have to find the value of (-1/2) * (-3/2).
Multiplying the numerators and denominators, we get:
(-1 * -3) / (2 * 2) = 3/4.
Therefore, -1/2 divided by -2/3 is equal to 3/4.
do 1/2(-2 x 2/5)
To simplify the expression 1/2(-2 x 2/5), we'll start by evaluating the part inside the parentheses:
-2 x 2/5 = -4/5
Now, we'll multiply the result by 1/2:
1/2 * (-4/5) = -4/10
To simplify this further, we can reduce the fraction:
-4/10 = -2/5
Therefore, 1/2(-2 x 2/5) simplifies to -2/5.
J was using a recipe to make a large cake that required one third of a tablespoon of cinnamon. Instead of making one large cake, J decided to use the recipe to make four small cakes. How much cinnamon should she use for each four small cake.
If the original recipe required one third of a tablespoon of cinnamon for one large cake, and J is making four small cakes, then she should divide the amount of cinnamon by 4.
One third divided by 4 is equal to 1/3 * 1/4 = 1/12.
Therefore, J should use 1/12 of a tablespoon of cinnamon for each of the four small cakes.
M's family has set aside $3,000 for an upcoming vacation. The family plans to spend 3/5 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals. How much does M's family plan to spend on meals.
To find out how much M's family plans to spend on meals, we'll follow these steps:
1. Calculate 3/5 of $3,000 to find out how much money will be spent on gasoline and motel rooms:
(3/5) * $3,000 = $1,800
2. Now, we need to find 1/2 of the remainder, which is the amount left after spending $1,800:
$3,000 - $1,800 = $1,200
(1/2) * $1,200 = $600
Therefore, M's family plans to spend $600 on meals.