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natali 33 [55]
3 years ago
11

It is 4 1/2 miles to the end of the trail. If Sophia bikes to the end and back in 60 minutes, what is her average speed in miles

per hour?
Please show work!
Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0
60 minutes for 2 times of 4.5 miles

60 minutes for 9 miles.

9 miles/60 minutes = 9 miles/1 hour

9 mph
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polet [3.4K]

So when you add mixed numbers, you must convert it into fractions. The four would become part of the fraction and be 43/10 and the six becomes part of the fraction which is 69/10. You can find this by multiplying 4 by the denominator and then adding it to the numerator (4 Times 10 = 40 + 3 = 43/10) and same for the other one. The answer is 112/10, simplify to 11 1/5.

4 0
2 years ago
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2. Which of the following is frue about the solution to the system of equations below? 2x + 4y = 9 2x + 4y = -9 A. The system ha
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Answer:

Step-by-step explanation:

B. The system has infinitely many solutions. The system has one solution.

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2 years ago
Write the equation in slope-intercept form then change it to standard form with integer coefficients.
SCORPION-xisa [38]

Answer:

1. Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

2. Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

3. Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

Step-by-step explanation:

Slope intercept form:   y = mx + b

where:

  • y = y-coordinate
  • m = slope
  • x = x-coordinate
  • b = y-intercept

Standard form:  Ax + By = C

\textsf{1.  as} \ m=2: \ \ y = 2x + b

   \textsf{at} \  (6, 8): \ \ 8 = 2(6) + b

   \implies b = -4

Slope-intercept form:   y = 2x - 4

Standard form:   2x - y = 4

\textsf{2.  as} \  \ m = \dfrac12: \ \ y = \dfrac12x + b

    \textsf{at} \  (4, 1): \ \ 1 = \dfrac12(4) + b

    \implies b = -1

Slope-intercept form:  y = \dfrac12x - 1

Standard form:             x - 2y = 2

\textsf{3.  as} \  \ m = \dfrac45: \ \ y = \dfrac45x + b

   \textsf{at} \  (1,5): \ \ 5 = \dfrac45(1) + b

   \implies b = \dfrac{21}{5}

Slope-intercept form:   y = \dfrac45x + \dfrac{21}{5}

Standard form:            4x -5y = - 21

7 0
2 years ago
You have to solve the problems starting at the "begin" and make your way up to the "end". The correct answer is one of the probl
Thepotemich [5.8K]
Begin
3x-4=14
3x=18
x=6

.5n=1.25
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x+1=2x-2
x+3=2x
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x+3=10
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6x-13=-11
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x=1/3

p=4-p
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So you may see more than one post abt these bc its due at 11:59 lol​
dusya [7]

Answer:

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Step-by-step explanation:

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