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alisha [4.7K]
3 years ago
15

Quinn leaves her house at 10:00 am and runs 3 miles at a steady pace of 6 miles per

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Using the relation between velocity, distance and time, it is found that Quinn returns home at 1 pm.

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

  • She walked <u>3 miles</u> at a velocity of <u>6 miles per hour</u>, thus d = 3, v = 6. The time is:

v = \frac{d}{t}

t = \frac{d}{v} = \frac{3}{6} = 0.5

  • Thus, she arrived at 10:30 am, and took a lunch break of 1 hour, so she started to return at 11:30 am.
  • Distance of <u>3 miles,</u> velocity of <u>2 miles per hour,</u> thus d = 3, v = 2. The time she took to return, in hours, is:

t = \frac{d}{v} = \frac{3}{2} = 1.5

1.5 hours after 11:30 am is 1 pm, thus, Quinn returns home at 1 pm.

A similar problem is given at brainly.com/question/24316569

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5.32×10^5 solve it please need it by 12:00​
Gre4nikov [31]

Answer:

532,000

Step-by-step explanation:

10^5= 100,000

100,000 x 5.32

Move the decimal place 5 spaces to the right.

It gives you 532,000

4 0
3 years ago
Read 2 more answers
One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
zalisa [80]
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
5 0
4 years ago
Miguel babysits for 3 hours and earns $15. Which represents the unit rate?
gogolik [260]

The unit rate is $/Hr.  Since the hours are the unit being considered.


To find the unit rate, divide both sides by three

(Let x = hourly rate)

3x = 15

x = 5


Miguel Makes $5 per Hour


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3 years ago
What is the slope of the line that contains the points (3,1) and (2,-3)
Goryan [66]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-1}{2-3}\implies \cfrac{-4}{-1}\implies 4

8 0
3 years ago
I had help but still don't understand plz help
erica [24]
Two  parallel lines are intersect by the same line, and the angles shown lie on the same orientation about the intersection so the angles are equal to each other...which means:

9x+21=10x+10  subtract 21 from both sides

9x=10x-11  subtract 10x from both sides

-x=-11 divide both sides by -1

x=11
7 0
3 years ago
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