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Pie
3 years ago
6

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I ta

ke the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.
Mathematics
2 answers:
agasfer [191]3 years ago
8 0
X would be equal to 3 over 1
Elena L [17]3 years ago
6 0

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

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Write the repeating decimal as a fraction. -0.356=____​
tigry1 [53]

−89/250

Explanation-

\frac{356}{1000}

The greatest common factor of 356 and 1000 is 4

\frac{356}{1000} divide both of the numbers by 4

-356 / 4

1000 / 4

Don't forget the negative!

Final result is −89/250

5 0
3 years ago
Help please, mainly with part b
tigry1 [53]
Here is all you need for b)

4 0
2 years ago
Read 2 more answers
Geometry help please! Match the reasons with the statements
Alex73 [517]
  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

<u>Step-by-step explanation:</u>

Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :

  • Given ⇔  1. ∠PRS and ∠VUW are supplementary
  • Angles forming a linear pair sum of 180°  ⇔ 3. ∠PRS + ∠SRU = 180°
  • Definition of Supplementary angle   ⇔ 2. ∠PRS + ∠VUW = 180°
  • Transitive property of equality  ⇔ 4 . ∠PRS + ∠VUW  = ∠PRS + ∠SRU
  • Algebra  ⇔ 5. ∠VUW =  ∠SRU
  • Converse of Corresponding angle Postulate ⇔ Line TV || Line QS

Above mentioned are  , are the statements matched with expressions on right hand side (RHS)  .

  • The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
  • The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
5 0
3 years ago
A. 28.1 cm squared <br> B. 3.8 cm squared <br> C. 11.3 cm squared <br> D. 56.2 cm squared
Colt1911 [192]

Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

6 0
3 years ago
How would you write 1 - x^4 before you divide it by x - 1?
Taya2010 [7]

Answer:

See below.

Step-by-step explanation:

A good idea would be to write if as:

-x^4 + 0x^3 + 0x^2 + 0x + 1,   then you can perform long division.

8 0
3 years ago
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