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3 years ago

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Jimmy, Joe and sally are racing their cars. Jimmy and Joe have completed the same number of laps- six fewer laps than Sally. If

the total number of completed laps is 222, ow many laps has each of the three racers completed?

1 answer:

shusha [124]3 years ago

3 0

X = the number of laps Joe has ran.
x + x + x + 6 = 222
3x = 216
x = 72
Jimmy ran 72 laps.
Joe ran 72 laps.
Sally ran 78 laps.

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Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.

timama [110]

The solution of the equation is $x=\frac{11}{7}$

Step-by-step explanation:

To simplify an equation of x

Simplify each side of the equation
Collect x in side and the numerical terms in the other side
Find the value of x

∵ The equation is $2x + \frac{1-x}{4}=3$

- Multiply all terms of the equation by 4 to cancel the denominator

of the 2nd term in the left hand side

∵ The equation is $4(2x) +4 (\frac{1-x}{4})=4(3)$

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

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- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ $x=\frac{11}{7}$

The solution of the equation is $x=\frac{11}{7}$

Learn more:

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Answer:

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Step-by-step explanation:

When we form such three-digit numbers with distinct digits using the digits 1 , 2 , 3 , 5 , 8 and 9 (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits 1 , 2 , and 3 , we can have 123 , 132 , 231 , 213 , 312 or 321 .

Hence we have to find number of 3 digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ = 6 × 5 × 4 = 120 .

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Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is 8 /120 = 1 /15

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