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Lelechka [254]
3 years ago
14

Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 mil

es an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.
How far from their destination will they be 3.7 hours since entering the freeway?
How far from their destination were they 2.3 hours since entering the freeway?
Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

They will be 608 miles from their destination after 3.7 hours

They will be 692 miles from their destination after 2.3 hours

Step-by-step explanation:

First, find the amount of miles that it takes them in total to drive to their destination.

3 hours into the trip, they already drove 180 miles, since they drove at 60 mph.

Add this to 650 to find the total number of miles to the destination:

180 + 650 = 830

Now, find how far they will be 3.7 hours after:

3.7(60) = 222

830 - 222

= 608 miles

Find how far they were 2.3 hours after:

2.3(60) = 138

830 - 138

= 692 miles

They will be 608 miles from their destination after 3.7 hours

They will be 692 miles from their destination after 2.3 hours

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Francine Flicka found a bargain when she bought a lawn mower. She paid the store's clerk three $20 bills and received him $7.45
adoni [48]

Answer:

  $48.97

Step-by-step explanation:

Let p represent the marked price of the mower. Then the price with tax is ...

  with tax = p + 7.3%×p = 1.073p

The amount Flicka paid is the amount tendered less the change she received, so is ...

  3×$20 - 7.45 = with tax = 1.073p

To find p, we can divide by its coefficient:

  (3 × $20 - 7.45)/1.073 = p ≈ $48.97

The selling price before taxes was $48.97.

_____

<em>Comment on the problem</em>

If you check the answer, you find the amount with tax is ...

  $48.97 × 1.073 ≈ $52.54481 ≈ $52.54

so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.

5 0
3 years ago
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Determine if there is a proportional relationship between the length of the diagonals and the perimeters of the squares.
garri49 [273]

Answer:

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Step-by-step explanation:

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3 years ago
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A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

54,000 ± 1.96\frac{6000}{3.464}

54,000 ± 1.96*1732.102

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This means the interval is

50605 < μ < 57395

<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

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eimsori [14]
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y = ax + b
where
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<span>
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C.) Oak Street 
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D.) Panther Street
* Nope, this is an animal, not a flower. Bad choice.

</span>
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