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Anuta_ua [19.1K]
2 years ago
7

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km per hour faster than the other.

If the two cyclists are 240 km apart after 4 hours, what is the rate of each cyclist?​

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

the rate of the first cyclist: 28km/h

the rate of the 2nd cyclist 28+4= 32km/h

Step-by-step explanation:

x= the rate of the first cyclist

x+4= the rate of the 2nd cyclist

after 4 hours: + the first cyclist travels 4x  (km)

                       + the 2nd cyclist travels 4(x+4)  (km)

because the two cyclists are 240 km apart after 4 hours

=> 4x + 4(x+4) = 240 => x= 28

i hope it's useful forr u =)))

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1:X = X:25. What number can replace X?
igor_vitrenko [27]

5 is your answer

1: 5 = 5: 25

Note that the colon can act like a fraction.

Simplify 5/25.

(5/25)/(5/5) = 1/5 = 1/5

5 is your answer

hope this helps

7 0
3 years ago
Solve the system:<br> -5x+6y=55<br> 4x+3y=34<br><br> Write down your solution.
svetlana [45]

Answer:

(1, 10)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-5x + 6y = 55

4x + 3y = 34

<u>Step 2: Rewrite Systems</u>

4x + 3y = 34

  1. Multiply everything by -2:                    -8x - 6y = -68

<u>Step 3: Redefine Systems</u>

-5x + 6y = 55

-8x - 6y = -68

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    -13x = -13
  2. Divide -13 on both sides:             x = 1

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    4x + 3y = 34
  2. Substitute in <em>x</em>:                       4(1) + 3y = 34
  3. Multiply:                                  4 + 3y = 34
  4. Isolate <em>y</em> term:                        3y = 30
  5. Isolate <em>y</em>:                                 y = 10
4 0
2 years ago
-3(2x+4) = 3(x-6)<br> i need steps too
Bezzdna [24]

If you are looking to find the value of x then you have to use distributive property.

1st: multiply -3 by 2x and 4                -3(2x+4)

                                                             -6x -12

2nd: do the same thing on the other side which is multiply 3 by x and -6

                             3(x-6)

                               3x-18

3rd: Then you have  -6x-12=3x-18

                                        +12     +12

add 12 to each side so then you have -6x=3x-6

then divide by -6 on each side and the answer is x= 2/3

6 0
3 years ago
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6
Firlakuza [10]
Given:
μ = 55 in, population mean
σ = 6 in, population standard deviation

Part (a)
x = 48 in, the random variable
Calculate the z-score.
z = (x - μ)/σ
   = (48 - 55)/6
   = -1.667
From standard table, obtain
P(X < 48) = 0.12167 

Answer: 0.1217  (tyo 4 dec.places)

4 0
3 years ago
WILL REWARD BRAINLIEST
Mashutka [201]

Answer:

Option A. is the correct option.

Step-by-step explanation:

If a number is divisible by 5 it is not necessary that the number will be divisible by 10.

For example: 25 is the number divisible by 5 but not divisible by 10.

Or in other words a number divisible by 5 should be even to be divisible by 10.

So for the conditional statement : A number is divisible by 10 if and only if it is divisible by 5 will be false because any one out of these two statements is false. We know biconditional is true only when both the statements are true or false means both the statements should have same truth value.

Therefore Option A. is the correct option.


8 0
2 years ago
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