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
ella [17]
3 years ago
11

Can someone help me with this question please!!!!!

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

You might be interested in
Use the pictures or words to explain how you could find the sum of 7+7
max2010maxim [7]
7+7=14 lol you’re welcome
3 0
3 years ago
I WILL MARK BRAINLIEST!! Split 84 into two parts so that one part is five times the other part. I need the smaller number and th
aalyn [17]

Answer:

70 and 14

Step-by-step explanation:

You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.

7 0
3 years ago
The win-loss record for a football team is 15 wins and 9 losses. What percent of their games did they win?
Burka [1]

Answer:

62.5%

Step-by-step explanation:

To find percentage of win, we simply need to find the number of games won and divide it by the total number of games played. Then we will multiply that answer by 100 (to get percentage).

So,

Number of games won = 15

Total number of games = 15 + 9 = 24

Percentage of Win = \frac{15}{24}=0.625=62.5

Answer is 62.5%

6 0
3 years ago
4. Sarah had 731 Matchbox cars. She
devlian [24]

Answer:

  82 boxes

Step-by-step explanation:

731/9 = 81 2/9

If Sarah uses 81 boxes, she will have 2 cars left over.

Sarah needs 82 boxes to hold all of her cars.

5 0
2 years ago
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is
pantera1 [17]

Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

3 0
3 years ago
Other questions:
  • The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and C
    13·2 answers
  • Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congrue
    15·2 answers
  • Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour.
    7·2 answers
  • Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 u
    10·1 answer
  • A and b are complementary angles. a measures 28 degrees. what is the measure of b
    8·2 answers
  • Joey and his family are taking a road trip. On Monday they travel 68 miles. On Tuesday , they travel 25 miles. On Wednesday they
    11·1 answer
  • How many years from 1848-2015
    14·2 answers
  • What is an equation with more than one variable called
    14·1 answer
  • HELLLPPP ME Y'ALL!!!!!!!!!!!?><<
    6·1 answer
  • Pls help! I am already getting behind in this semester. And the semester just started. I am really worried the imma fail the sem
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!