Question

2 which number goes in the box to make a true equation?
□ × 100 = 18,000
1800
18
180
108
3 alison wrote this equation to show the relationship between d, the total distance she traveled when she drove 60 miles each hour, h.
d=60h
if she traveled a total of 300 miles at this rate, what is the total number of hours she traveled?

Explanation:

Question 2

Step1: Isolate the variable

To find the number in the box (let's call it \( x \)), we have the equation \( x \times 100 = 18,000 \). We need to solve for \( x \) by dividing both sides of the equation by 100.

Step2: Perform the division

\( x = \frac{18,000}{100} \)
When we divide 18,000 by 100, we move the decimal point two places to the left (since dividing by 100 is equivalent to multiplying by \( 10^{-2} \)). So, \( 18,000 \div 100 = 180 \).

Step1: Identify the formula and known values

We are given the equation \( d = 60h \), where \( d \) is the distance and \( h \) is the time in hours. We know that \( d = 300 \) miles.

Step2: Solve for \( h \)

Substitute \( d = 300 \) into the equation: \( 300 = 60h \). To solve for \( h \), divide both sides by 60.
\( h = \frac{300}{60} \)
\( 300 \div 60 = 5 \).

Answer:

180 (corresponding to the option "180")

Question 3