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Agata [3.3K]
3 years ago
15

What is the unit rate of the number of miles driven per number of hours of driving?

Mathematics
2 answers:
MariettaO [177]3 years ago
5 0
35
Explaination : 70 divided by 2 is 35
Ivanshal [37]3 years ago
5 0

Answer:

35 miles per hour is the answer

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How would you write the following expression as a single term? 3[2 ln(x-1) - lnx] + ln (x+1)
Elan Coil [88]

Apply the rule: n ln x = ln x^{n}

3[2 ln(x-1) - lnx] + ln(x+1)=3[ln(x-1)^{2} - lnx ] + ln(x+1)

Apply the rule : log a - log b = log \frac{a}{b}

3[2 ln(x-1) - lnx] + ln(x+1)=3ln\frac{(x-1)^{2} }{x} + ln(x+1)

Apply the rule: n ln x = ln x^{n}

3[ln (x-1)^{2} -ln x]+ln (x+1)= ln \frac{(x-1)^{6} }{x^{3} } +log(x+1)

Finally, apply the rule: log a + log b = log ab

3[ln(x-1)^{2} -ln x]+log(x+1)=ln\frac{(x-1)^{6}(x+1) }{x^{3} }

3 0
3 years ago
Find the value of x please and thank you
Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

-x=-4

x=4

Therefore, the value of x is equal to 4.

3 0
2 years ago
The altitude of an equilateral triangle is 15. What is the length of each side?
Bogdan [553]
An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
base = 10√3 = side length
6 0
2 years ago
one lap around a track is equal to one fourth of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was
Goryan [66]
13.3 repeating all you have to do is convert them into seconds and divide them by nine 
5 0
2 years ago
if the price ticket to a museum was $15 last year and $30 this year what is the percentage increase in ticket price and last one
Darina [25.2K]

100% increase. If you think about it, a 50% increase in price would be 7.5 (15/2), so therefore a 100% increase would just be $15.

7 0
3 years ago
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