answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marta_Voda [28]
2 years ago
4

Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more

than 1/3 the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than 5/4 the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
Mathematics
1 answer:
krok68 [10]2 years ago
4 0

Answer:

Let the distance between the origin and the 1st city =D =The distance between 2nd and 3rd city.

Let the distance between 1st and 2nd city = d,then:

The distance between origin and 1st city =1/3d + 100, and

The distance between 2nd and 3rd city =5/4d - 10. But we have:

1/3d + 100 = D..........(1), and

5/4d - 10 = D.............(2), but

1/3d + 100 = 5/4d - 10, solve for d

d = 120 miles - distance between 1st and 2nd city.

1/3 x 120 + 100 = 140 miles - distance between origin and 1st city.

5/4 x 120 - 10 = 140 miles - distance between 2nd and 3rd city.

140 + 120 + 140 = 400 miles - total distance travelled.

You might be interested in
Compute $14A6_{12} - 5B9_{12}$. Give your answer as a base $12$ integer.
avanturin [10]

Answer:

you need to 12 minus 5b9 as base and don’t forget to mention the integer

4 0
2 years ago
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank
serg [7]

Answer:

Distance = 58\ feet

Step-by-step explanation:

Represent the lure's difference with A and B;

A = 23\ feet

B = 81\ feet

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

Distance = B - A

Substitute 23 feet for A and 81 feet for B

Distance = 81\ feet - 23\ feet

Distance = 58\ feet

<em>Hence, the distance between both lure's is 58 feet</em>

6 0
2 years ago
What is the equation of a line in slope intercept form that contains the points (-4,3) and (2,-6)
Nataly_w [17]

Answer:

y = (-3/2)x - 3

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):

m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2

So, we can update our equation:

y = (-3/2)x + b

The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:

3 = (-3/2) * (-4) + b

3 = 6 + b

b = -3

So, our y-intercept is -3.

Our slope-intercept form is thus:

y = (-3/2)x - 3

<em>~ an aesthetics lover</em>

7 0
2 years ago
Asha runs 5 meters every 2 seconds. How far does asha run after 3 seconds? After 5 seconds?
Brilliant_brown [7]

Answer:

2 1/2

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Find f(6) if f(x)=x squared divided 3+x
Nostrana [21]
F(6)=4. plug in 6 to x
8 0
2 years ago
Other questions:
  • Use properties to find the sum or product 5x23x2
    14·1 answer
  • From the equation 5 - 4 + 7x + 1 = __x + __, use numbers 0 - 9 to find No Solutions, One Solution, or Infinitely Many Solutions.
    13·1 answer
  • The results of a survey show that the percent of adults in a certain town who want to change the name of the town is in the inte
    10·2 answers
  • The average marks of shahid first four papers is 88 how much mark should he get in the fifth paper so that the average of five p
    10·2 answers
  • You are converting 8 centimeters to meters. How will the number of meters compare to 8? Explain.
    5·2 answers
  • an amusement park sells child and adult tickets at a ratio of 8 to 1 on Saturday they sold 147 more child tickets than adult tic
    5·1 answer
  • The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
    15·1 answer
  • Consider triangle GHJ. Triangle G H J is shown. Angle G H J is a right angle. The length of the hypotenuse is 10 and the length
    10·2 answers
  • What is 2043.666666 rounded to 2 decimal places
    7·2 answers
  • Eric took $7000 of his income last year and invested it, part at 7% and the rest at 9%. He earned $570 from investments. How muc
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!