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
sammy [17]
3 years ago
13

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the othe

r. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?
Mathematics
2 answers:
jeyben [28]3 years ago
5 0

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

iragen [17]3 years ago
3 0

Let the speed of the faster bike = X

The slower bike would be x - 4 ( 4 mph slower)

Multiply each speed by time and add to equal total distance:

2x + 2(x-4) = 56

Simplify:

2x + 2x -8 = 56

4x -8 = 56

Add 8 to each side:

4x = 64

Divide both sides by 4:

x = 64/4

x = 16

The faster bike rode at 16 miles per hour

The slower bike traveled at 16-4 = 12 miles per hour

You might be interested in
If you multiply 2/3 * 6/10, would the product be more than 6/10 or less than 6/10?
Gwar [14]

Answer:

Less than.

Step-by-step explanation:

I have included the explanation in bullet points so it is easier to understand.

We don't even need to solve the problem in order to find out.

  • We know that any number times one is itself
  • We know that any number times less than one would be less than itself.
  • In order to get a product more than 6/10 we would need to multiply it by something more than 1.
  • 2/3 is not more than one, which means the product would be less than 6/10

Hope this helps!

--Appleπ101

4 0
3 years ago
How many feet of border are needed to go around a square bulletin board that is 4.5 ft on each side?
Soloha48 [4]

Answer:

18

Step-by-step explanation:

if you do 4.5 x 4 you should get 18

7 0
3 years ago
Hi can someone please help and explain to me how to do this with the answer? Will mark brainliest!
Otrada [13]

Answer:

y=√x+5 -1

the answer is option C,,

x=-7,y=√-7+5 -1=√-2 -1

we can't find the square root of negative values, therefore it displays as error

x=-6,y=√-6+5-1=√-1 -1

same reason

x=-5,y=√-5+5-1=√0-1=-1

x=-4,y=√-4+5-1=√1-1=0

x=-1,y=√-1+5-1=√4-1=1

x=4,y=√4+5-1=√9-1=2

6 0
3 years ago
What is 469.82 plus 8.5 sales tax
alekssr [168]
Hey!


The first step to solving this problem would be to multiply 469.82 by 0.085.

<em>New Equation :</em>
469.82 × 0.085 = ?

<em>Solution {New Equation Solved} :</em>
469.82 × 0.085 = 39.9347

Ignore the forty seven at the end of the solution. You're only going to need 39.93. Now we'll add 469.82 and 39.93. This is the sales tax plus the regular price. Which will then bring us to our total.

<em>New Equation :</em>
469.82 + 39.93 = ?

<em>Solution {New Equation Solved} :</em>
469.82 + 39.93 = 509.75

<em>So, 469.82 plus 8.5 sales tax is</em>  509.75.

Hope this helps!


- Lindsey Frazier ♥
4 0
4 years ago
If f(x) = 9x – 8, which of the following is the inverse of f(x)?
zheka24 [161]

Answer: f^{-1} (x) = \frac{x+8}{9}

Step-by-step explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x = \frac{y+8}{9}

Finally , replace x , with f^{-1} (x) and y with x  , so we have

f^{-1} (x) = \frac{x+8}{9}

8 0
4 years ago
Other questions:
  • 7x(3x +x)—- x=8 What is the answer
    7·2 answers
  • Can someone help with these trigonometry problems
    15·1 answer
  • What is the area of rhombus ABCD ?
    5·1 answer
  • I need help I just started this
    7·2 answers
  • Crystal baked 54 muffins for her family and friends. Her friends take 1/6 of the muffins. How many muffins does she have left? O
    10·1 answer
  • Which digit is in the hundredths place in the number 742.891?
    5·2 answers
  • What is the inverse of the function?
    7·1 answer
  • Simplify the following expression 2√2 x √12
    12·2 answers
  • My teacher is asking for me to do the math of 5.05 + = 13.25, then convert to a fraction. I don't know how to do that.
    6·1 answer
  • This graph shows how the distance daniel runs depends on the number of track practices he attends
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!