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nirvana33 [79]
2 years ago
11

Cómo simplificar -3/4

Mathematics
1 answer:
Lunna [17]2 years ago
3 0
No se puede simplificar ya. ✅
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Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0
3 years ago
A polygon has two sets of parallel lines and four right angles based on this information which of the following is true about th
Veseljchak [2.6K]
Answer is a . rectangle
8 0
3 years ago
Describe how total job benefits and total employee compensation differ.
diamong [38]

<u>Difference between total job benefits and total employee compensation:</u>

<em>Employee compensation:</em>

  • The total employee compensation refers to the amount of money an employee is given in exchange for the tasks they complete for the employer.
  • Employee compensation is the most basic or we can say the minimum amount of money an employee is given. It mostly includes the salary of an employee.

<em>Total job benefits:</em>

  • Total job benefits are not necessarily provided in monetary means. As the name suggests, job benefits are the facilities and advantages provided by the company or the employer to the employees.
  • These benefits are generally performance- based, the better the performance, the better the benefits.
  • Job benefits may include health insurance policies, travel packages, transport facilities and much more.

5 0
2 years ago
A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to r
Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0
3 years ago
(14-16). A new mattress at the Mattress Store cost $625. They are running a Christmas sale where I can save off the original pri
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581.25 is what your paying and you are saveing 43.75
7 0
2 years ago
Read 2 more answers
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