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Svetllana [295]
3 years ago
12

On Monday, a bicyclist traveled 79.2 miles in 6 hours. On Tuesday, he traveled the same number of miles, but in half the time. W

hat must have happened to his speed?
A.
His speed tripled.

B.
His speed decreased by one-half.

C.
His speed doubled.

D.
His speed decreased by one-third.
Mathematics
1 answer:
blagie [28]3 years ago
6 0
C because he obviously doubled it and 3 hours doubled is 6 hours
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Evaluate pq÷4; use p=14, and q=14​
Zolol [24]

Answer:

49

Step-by-step explanation:

14x14 = 196

196/4 = 49

4 0
3 years ago
Read 2 more answers
I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work
sertanlavr [38]
<h2>Answers:</h2>

  • Solving for x on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : x =  \frac{-3}{2}⁻y + 16

  • Solving for y on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : y = \frac{-2}{3}x + \frac{32}{3}
<h3></h3>
  • Solving for x on question - 5x - 4y = -81 |
  1. Answer : x =  \frac{4}{5}y + \frac{-81}{5}

  • Solving for y on question - 5x - 4y = -81 |
  1. Answer : y =  \frac{-5}{4}x + \frac{81}{4}
<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

\frac{2x}{2}  = \frac{-3y+32}{2}

<u>x =  </u>\frac{-3}{2}<u>⁻y + 16</u><u>                                                                                                                 </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

\frac{3y}{3} =  \frac{-2x+32}{3}

<u>y = </u>\frac{-2}{3}<u>x + </u>\frac{32}{3}<u>                                                                                                           </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

\frac{5x}{5} =  \frac{4y-81}{5}

<u>x =  </u>\frac{4}{5}<u>y + </u>\frac{-81}{5}<u>                                                                                                               </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

\frac{-4y}{-4} = \frac{-5x-81}{-4}

y =  \frac{-5}{4}x + \frac{81}{4}

5 0
3 years ago
Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon
Natali [406]

The value of the correlation is -0.0721 and it is a weak negative correlation

<h3>How to determine the correlation coefficient?</h3>

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

<u>X Values</u>

  • Sum X = 90
  • Mean = 18
  • ∑(X - Mx)^2 = SSx = 90

<u>Y Values</u>

  • Sum Y = 156
  • Mean = 31.2
  • ∑(Y - My)^2 = SSy = 692.8

<u>X and Y Combined</u>

  • N = 5
  • ∑(X - Mx)(Y - My) = -18

<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

Read more about correlation coefficient at:

brainly.com/question/27226153

#SPJ1

7 0
2 years ago
Please show working out, thanks!
Vedmedyk [2.9K]

Answer:

  C.  x+log(z)

Step-by-step explanation:

Taking the log of the equation gives ...

  log(z) = (x -y)log(1/10) = (x -y)log(10^-1)

  log(z) = (x -y)(-1) = y -x

Adding x gives ...

  x + log(z) = y . . . . . matches choice C

4 0
3 years ago
If the sales tax rate in California is 7.25% then how much would you pay in Los Angeles for a pair of shoes that cost 39.00?
Lady_Fox [76]

Answer:

41.83

Step-by-step explanation:

39 x .0725)+ 39 = 41.827, rounded up = 41.83

3 0
3 years ago
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