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Lelechka [254]
2 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]2 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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Nana76 [90]

Answer:

99 ÷ 12


12 ÷ 12


=  

8.25 cm


1


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8.25


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= 8.25 cm per cm


6 0
3 years ago
A right triangle in which one acute angle is a reference angle for a 75° angle in standard position intersects the unit circle a
vampirchik [111]

Alright, lets get started.

Please take a look at the diagram attached.

The reference angle of 75 will be 75

As it is mentioned that the angle intersects the unit circle means r = 1

So, finding cos

cos 75 = \frac{X}{r}

cos 75 = \frac{0.259}{1}

cos 75 = 0.259    :   Answer

Hope it will help :)


7 0
3 years ago
A cell phone that regular costs $780 is on sale for 15% off. What is the total cost of the phone if you have to pay 5.5% sales t
Alex_Xolod [135]

Answer:

$700

Step-by-step explanation:

Step one:

Given data

Regular cost of cell phone= $780

discount = 15%

tax = 5.5%

Step two

Let us compute the discounted amount

= 15/100*780

=0.15*780

=$117

hence the selling price is

=780-117

=$663

Also, the tax-deductible is

=5.5/100*663

=0.055*663

=$36.465

The total cost of the phone will be

=663+36.465

=699.465

=$700 to the nearest cent

8 0
3 years ago
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o
Yuki888 [10]

If the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

y=ab^x

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function y=ab^x

25=ab^3............................(1)

Substitute x = 8 and y = 10 into the function y=ab^x

10=ab^8.............................(2)

Divide equation (2) by equation (1)

\frac{10}{25}=\frac{ab^8}{ab^3}  \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833

Therefore, if the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

6 0
2 years ago
What form is this equation written in? y-7=2(x-6)
Alexxx [7]

Answer:

this is written in point slope form

Step-by-step explanation:

y-y1 = m(x-x1)

the slope is 2

and the point is (6,7)

7 0
3 years ago
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