Question

1. directions

drag and drop the correct answer choice to each answer blank.
write a situation that would best be represented by this equation.
$120 + 70x = 330$
complete the following statements by moving the answers to the correct boxes.
210 120 70 190 330 65
armana is traveling on vacation to a city that is ____ miles away from home. she has already traveled __ miles. what is x, the number of hours that arriana will need to travel at a speed of ____ miles per hour to reach the vacation city?
clear all

Explanation:

Step1: Identify total distance

Total distance = 330 miles

Step2: Identify distance already traveled

Distance traveled = 120 miles

Step3: Identify constant speed

Speed = 70 miles per hour

Step4: Solve for $x$

Subtract 120 from both sides:
$70x = 330 - 120$
$70x = 210$
Divide by 70:
$x = \frac{210}{70}$
$x = 3$

Answer:

Ariana is traveling on vacation to a city that is $\boldsymbol{330}$ miles away from home. She has already traveled $\boldsymbol{120}$ miles. What is $x$, the number of hours that Ariana will need to travel at a speed of $\boldsymbol{70}$ miles per hour to reach the vacation city?
$\boldsymbol{x=3}$