Question

ratios & proportions
mr. cox filled up his car with gas yesterday. he paid $24 for 6 gallons. determine the cost per gallon of gas.
cost ($)
gas (gallons)
24
6
the number system
determine the quotient 1440÷40
expressions and equations
simplify the following expression 2³÷2+(5 - 1)
geometry
determine the area of the composite figure.
statistics & probability
determine the median of the following: 5,10,2,3,7,2,1
monday, september 22

Explanation:

Step1: Calculate cost per gallon

To find the cost per gallon of gas, divide the total cost by the number of gallons. Mr. Cox paid $24 for 6 gallons. So the cost per gallon is $24\div6$.
$24\div6 = 4$

Step2: Calculate quotient of 1440÷40

We can simplify $1440\div40$ by dividing both the numerator and denominator by 10 first. So it becomes $144\div4$.
$144\div4=36$

Step3: Simplify the expression $2^{3}\div2+(5 - 1)$

First, calculate the exponent: $2^{3}=2\times2\times2 = 8$. Then $2^{3}\div2=8\div2 = 4$. Also, $5 - 1=4$. So the expression becomes $4 + 4$.
$4+4=8$

Step4: No figure for geometry problem

Since no composite - figure is provided, we cannot calculate its area.

Step5: Find the median of 5, 10, 2, 3, 7, 2, 1

First, arrange the numbers in ascending order: 1, 2, 2, 3, 5, 7, 10. There are 7 numbers. The median is the middle number. For 7 numbers, the middle number is the 4th one.
The median is 3.

Answer:

Cost per gallon of gas: $4
Quotient of 1440÷40: 36
Simplified expression $2^{3}\div2+(5 - 1)$: 8
Median of 5, 10, 2, 3, 7, 2, 1: 3
(Area of composite figure cannot be determined as no figure is given)