1answer.
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
Rama09 [41]
3 years ago
13

Josh Wilson is traveling to California from South Carolina for summer vacation. The states are approximately 2500 miles apart dr

iving cross-country. He stops at his parent's house in Oldham County, Texas, which is (12x 106) miles away from South Carolina and (5x + 685) miles away from California. Determine if Josh's parent's house in Texas the midpoint between South Carolina and California? Justify your answer.
Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Answer:

Yes, Josh's parent's house in Texas is the midpoint between South Carolina and California

Step-by-step explanation:

Let S represents South carolina C represents California and T represents Texas,

Given,

ST = 12x - 106,

TC = 5x + 685,

Also, SC = 2500 miles,

Suppose T is the midpoint of S and C,

⇒ ST = TC

12x - 106 = 5x + 685

7x = 791

⇒ x = \frac{791}{7} = 113

So, ST = 12(113)+106 =1356 - 106 = 1250

Now,

2\times ST = 2\times 1250=2500

⇒ 2 ST = SC

Hence, T is the midpoint of S and C.

MakcuM [25]3 years ago
5 0

Given, distance between South Carolina and Texas = 12x-106

Distance between Texas and California = 5x+685

Let's assume, both the distance is same.

12x-106=5x+685

=> 12x-5x = 685+106

=> 7x = 791

=>x=113

Plug x = 113 in 5x+685

5(113)+685 = 1250 Miles.

Similarly, 12(113)-106=1250 miles

Since 2500 divided by 2 = 1250 miles, hence our assumption was correct, Texas lies between both the cities.

You might be interested in
CAN SOMEONE HELP ME PLEASE ASAP!?
GalinKa [24]

Answer:

true

Step-by-step explanation:

the lines of the new shape are parallel to the lines of the original shape, there seems to be the same scaling factor for all sides and all "projection" lines BB' and CC' cross at A, which is also A' Ave the center of the dilation.

5 0
2 years ago
1/8y as an algebraic expression
rewona [7]
Y/8 simplified maybe
8 0
3 years ago
What is the VARIABLE in the expression 8p - 5?*
Aleksandr-060686 [28]

Answer:

p is the variable

Step-by-step explanation:

a variable is a letter that represents an unspecified number.

8 0
3 years ago
Read 2 more answers
Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
aleksandrvk [35]

Answer:

  • x = 2.41

Step-by-step explanation:

<u>Area formula:</u>

  • A = 1/2bh

<u>The height is:</u>

  • h = (x + 2)sin 45° = √2(x + 2)/2

<u>Substitute the area value an set an equation:</u>

  • 4√2 = (2x - 3)√2(x + 2)/2
  • (2x - 3)(x + 2) = 8
  • 2x² + x - 6 = 8
  • 2x² + x - 14 = 0
  • D = 1 + 4*2*14 = 113
  • x = (-1 + √113)/4 = 2.41 (rounded)    

Note. the second root ignored as negative

7 0
2 years ago
What is the absolute value of 1.7​
vodomira [7]

Answer:

<h2>|1.7| = 1.7</h2>

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

8 0
3 years ago
Other questions:
  • If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 3
    14·1 answer
  • What is 4x+4y=6 -x-3y=3
    15·1 answer
  • Form a​ third-degree polynomial function with real coefficients such that −7+i and 9 are zeros.
    5·1 answer
  • 4 3/10 divided by 3/5
    8·1 answer
  • Leticia charges 8$ per hour to babysit. She babysat Friday night for 4 hours ,and then she babysat again on saturday.She earned
    6·1 answer
  • HSHILL
    15·1 answer
  • In Mr. Henry’s class, there are 8 students that wear glasses, and 3 of them are boys. c. Write a ratio that compares the number
    7·1 answer
  • Pls help I’ll brainiest I need help with part 2
    5·1 answer
  • A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.
    8·1 answer
  • This is really confusing pls help! :)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!