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emmainna [20.7K]
3 years ago
15

Two cyclists start at the same point and travel in opposite directions. One cyclist travels

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0
Distance = rate times time.

Let the first cyclist's rate be r1 and the 2nd cyclist's rate be r2.

Let r2 = r1 + 10   (km per hour).

The total distance between them after 3 hours is 174 km; using the distance= rate times time formula, we also get:

r1(3 hrs) + r2(3 hrs) = 174 km
Then
r1(3 hrs) + (r1+10)(3hrs) = 174 km

Then 3r1 + 3r1 + 30 = 174 

6r1 = 144, and r1 = 24 km/hr.  Then r2 = (24 + 10) km/hr = 34 km/hr.


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35 students planned to walk in a fund raiser. The ratio of girls to boys is 5 to 2. How many boys are there?
Molodets [167]

Answer:

13

Step-by-step explanation:

   13

2/35

  2  {

------{-

 1  5

 1  5

----------

     0

5 0
3 years ago
X=4/5 Y=4/X+SQRT X +0.2 -5X What is the value of Y
fenix001 [56]
You seem to be saying that Y=4/X+SQRT X +0.2 -5X, and that x is given as 4/5.  To evaluate <span>Y=4/X+SQRT X +0.2 -5X, replace each occurrence of x with 4/5:

y = 4 / (4/5) + sqrt(4/5) + 0.2 - 5(4/5)
   = 5            + 2 / sqrt(5)  + 0.2 - 4
Can you simplify this further?

</span>
5 0
3 years ago
HELP PLEASE I REALLY NEED IT
Svetlanka [38]

Answer:

18

Step-by-step explanation:

1/2 bh

1/2 (6)(6) multiply

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18

5 0
3 years ago
A car can go 35 1/2 miles in 1 1/2 miles gallons. How many gallons does a car need to go 639 miles?
Mnenie [13.5K]

Answer: 27 gallons

Step-by-step explanation:

Since the car can go 35½ miles in 1½ miles gallons, we need to first calculate the number of miles that the car can go in 1 gallon. This will be:

= 35½ / 1½

= 71/2 / 3/2

= 71/2 × 2/3

= 23⅔ miles per gallon.

Therefore, the amount of gallons that the car need to go 639 miles will be:

= 639 / 23⅔

= 639 ÷ 71/3

= 639 × 3/71

= 27

The car will need 27 gallons.

4 0
3 years ago
This set of ordered pairs defines a function. {(-49,7), (-56,8), (-63,9), (-70,10)} Which table represents the inverse of the fu
Dmitrij [34]

Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.

Step-by-step explanation:

The inverse of a function means that the input becomes the output of the function and the output becomes input. When the function is given in the form of ordered pairs, the fiirst element of each ordered pair represents input and second element represents the output.

So, for given function: {(-49,7), (-56,8), (-63,9), (-70,10)}

The inverse will be:

{(7, -49), (8,-56), (9,-63), (10, -70)}

Hence,

Option A. x 7 8 9 10 y -49 -56 -63 -70 is the right answer.

Keywords: Function, Inverse

Learn more about functions at:

  • brainly.com/question/2977815
  • brainly.com/question/3071107

#LearnwithBrainly

5 0
4 years ago
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