Jeremy buys a value pack of cheese crackers that contains
42 1/2 ounces of crackers. He divides this into servings of 1 1/4
ounces each. What is the total number of servings Jeremy can make from the value pack?
A.
81/2 servings
B.
34 servings
C.
43 3/4 servings
D.
53 servings
To find the number of servings Jeremy can make from the value pack, we need to divide the total number of ounces of crackers by the number of ounces per serving.
42 1/2 ounces ÷ 1 1/4 ounces = (42 ÷ 1 + 1/2 ÷ 1) ÷ (1 ÷ 1 + 1/4 ÷ 1) = (42 + 1/2) ÷ (1 + 1/4) = (84/2 + 1/2) ÷ (4/4 + 1/4) = 85/2 ÷ 5/4 = 85/2 × 4/5 = 340/10 = 34
So, Jeremy can make 34 servings from the value pack of cheese crackers.
The answer is therefore B. 34 servings.
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 descent from the initial elevation of 1,100 feet.
Total descent = 500 feet + 375 feet = 875 feet
Initial elevation - Total descent = 1,100 feet - 875 feet = 225 feet
Next, we need to add the rise of 950 feet to the current elevation of 225 feet.
Current elevation + Rise = 225 feet + 950 feet = 1,175 feet.
Therefore, the elevation of the balloon when it passes over the school is 1,175 feet.
The answer is C. 1,175 feet.
What is the value of the expression
2/3 (-6+4)?
?
A.
0
B.-2/3
C.4/3
D.
-4/3
To solve the expression 2/3 (-6+4), we first simplify the expression in the parentheses.
-6 + 4 = -2
Now, we multiply -2 by 2/3.
(-2) * (2/3) = -4/3
Therefore, the value of the expression 2/3 (-6+4) is -4/3.
The 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 need to subtract the amount he earned by mowing lawns from the total amount he earned.
The skateboard is $45.50 and the helmet is $18.25, so the total cost of both items is $45.50 + $18.25 = $63.75.
Jason earned 1/3 of the total money by mowing lawns, so 1/3 * $63.75 = $21.25.
Therefore, Jason earned $21.25 babysitting.
The answer is B. $21.25.
Molly's family has $3,000 set aside 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 Molly's family plan to spend on meals?
A.
$600
B.
$900
C.
$1,200
D.
$1,500
To find out how much Molly's family plans to spend on meals, we first calculate the amount of money they plan to spend on gasoline and motel rooms. This is given as 3/5 of the total amount set aside for the vacation.
3/5 * $3,000 = $1,800
Now, we calculate the remainder of the money after spending on gasoline and motel rooms.
$3,000 - $1,800 = $1,200
Finally, we find 1/2 of the remainder that will be spent on meals.
1/2 * $1,200 = $600
Therefore, Molly's family plans to spend $600 on meals.
The answer is A. $600.
Rational numbers m and n are plotted on the number line below.
The number line showing numbers from -4 to 4 each divided into 4 segments has point n halfway between 0 and the first segment to the left of 0 and point m halfway between third and the fourth segment to the right of 0.
Based on the number line, which statement is true?
A.
The value of n-m is positive.
B.
The value of n+m is positive.
C.
The value of n+m is negative.
D.The value of -(n-m) is negative.