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saveliy_v [14]
3 years ago
7

Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second b

us leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?



Enter your answer, separating hours and minutes with a colon, in the box.
Mathematics
1 answer:
kotykmax [81]3 years ago
5 0
The answer would be 9 pm
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Solve for x.
Aliun [14]

9514 1404 393

Answer:

  x = 3.6

Step-by-step explanation:

The angle bisector divides the segments proportionally. This means they satisfy ...

  bottom segment / side segment = x/6 = (6-x)/4

Multiplying by 12 gives ...

  2x = 3(6 -x)

  2x = 18 -3x . . . . . eliminate parentheses

  5x = 18 . . . . . . . . add 3x

  x = 3.6 . . . . . . . . . divide by 5

_____

<em>Alternate solution</em>

I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.

8 0
3 years ago
How to solve this pythagoras theorem
My name is Ann [436]

Answer:

see explanation

Step-by-step explanation:

The hypotenuse is the longest side thus is (4x + 1)

The legs are 2x and (4x - 1)

Using Pythagoras' theorem, then

(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors

16x² + 8x + 1 = 4x²  + 16x² - 8x + 1 , that is

16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )

- 4x² + 16x = 0 ( multiply through by - 1 )

4x² - 16x = 0 ← factor out 4x from each term

4x(x - 4) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

Now x > 0, thus x = 4

2x = 2(4) = 8

4x - 1 = 4(4) - 1 = 16 - 1 = 15

4x + 1 = 4(4) + 1 = 16 + 1 = 17

Thus

perimeter = 8 + 15 + 17 = 40 cm

3 0
3 years ago
One out of every 5 students forgot a to bring a pencil to math class today.
Harman [31]
24 students forget their pencil out of 120 students.
7 0
2 years ago
Read 2 more answers
At a pet store the ratio of cats to dogs sold was 10:1. If there were 60 cast that were sold, how many dogs were sold?
AnnZ [28]


Ratio for this mean for every 10 cats sold there was one dog


60/10 = ?


6 dogs


ratio =          60:6



3 0
3 years ago
Help! Pls answer correctly!​
defon

Answer:

<h3>numbers of Ostrich he keep = 725</h3>

<u>Step-by-step explanation:</u>

  • Area of field = 30 × 155 + 90 × 45
  • Area of field = 4650 + 4050
  • Area of field = 8700 m²

  • 1 ostrich need = 12 m²

numbers of Ostrich = 8700 ÷ 12

numbers of Ostrich = 725

8 0
2 years ago
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