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skelet666 [1.2K]
3 years ago
9

A car travels 13 miles in 15 minutes. how fast is it going in miles per hour?

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

52 mph

Step-by-step explanation:

1 hour is 60 minutes, 4 times the time period given in the problem. If the speed is constant, the car will travel 4 times the distance in 4 times the time.

... 4 · (13 miles) = 52 miles

The car will travel 52 miles in 1 hour, so its speed is 52 mi/h.

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Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
4 years ago
Find an exponential function that fits the information (hint: putting them in a table may help you see).
Vilka [71]

Answer:

f(x)=8*(3.5)^x

Step-by-step explanation:

2=98

3= 98r

4= 98r^2

5= 98r^3

6= 98r^4

98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98

r=3.5

So you plug that in and you get f(x)=8*(3.5)^x

I hope this helped. XD

7 0
3 years ago
The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest int
seraphim [82]

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

S = 150

Hence the lower bound of distance S is 150

8 0
3 years ago
A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a nig
elena-s [515]

Answer:

A  

Step-by-step explanation:

6 0
4 years ago
What is the area of each parallelogram
iren [92.7K]

Answer:

24cm^2

Step-by-step explanation:

A=bh

a=base x height..

8 x 3=24cm (^2 because its area)

8 0
3 years ago
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