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3 years ago

A car travels for 3 hours and covers 156 miles. Find the average speed of the car.

Mathematics

1 answer:

lidiya [134]3 years ago

5 0

Answer:

52 miles per hour

Step-by-step explanation:

Firstly, It is important to point out that it is Average speed. The Average speed throughout all the way the car traveled.

And this is may calculated by a simple formula or if you'd rather by a proportion. Let's pick this simple formula, what's going to be useful.

Let's do the math!

Average speed = Δs/Δt

Δs = Variation of Space (given in miles) =156 -0

Δt =Variation of Time (given in hours) =3-0

Average Speed = 156-0/3-0 =156/3 =52 miles per hour

It is important to say, Average speed, is a rate so it is given in miles per hour

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Problem IDPRAQT48 At the beginning of a trip, a car's gasoline tank contained 14 1/5 gallons of gas. At the end of the trip, it

Kryger [21]

Answer:

5 8/15 Gallons

Step-by-step explanation:

Step 1: Change mixed numbers into improper fractions.

14 1/5 = 71/5

8 2/3 = 26/3

Step 2: Change the improper fractions to have the same denominator.

71/5 = 213/15

26/3 = 130/15

Step 3: Subtract

213/15 - 130/15 = 83/15

Step 4: Simplify

83/15 = 5 8/15

Hope this helps! :D

8 0

3 years ago

When 7 is added to 3 times a certain number, the result is 22"

zubka84 [21]

Answer:

The answer would be 5!

Step-by-step explanation:

22-7= 15

15/3 = 5

You can plug the 5 back in to check your work like so:

5 x 3 = 15

15 + 7 = 22

7 0

3 years ago

The angles of triangle abc are in the ratio of 8:3:4. what is the measure the smallest angle?

kupik [55]

All angles in a triangle always equal 180 degrees, so to solve this problem you must set 8,3,4 equal to 180. 8x + 3x + 4x = 180. 15x = 180. 180/15 = 12. x = 12. Now you take the value of x and multiply it by the angle you are trying to find. 3(12) = 36.
The measure of the smallest angle is 36.
To check this problem, multiply all the angle ratios by the x value and if it equals 180, it is correct. 8(12) + 3(12) + 4(12) = 180.

7 0

3 years ago

Find the area of this sector

slavikrds [6]

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576

for 360° and A=pi*576

for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²

6 0

3 years ago

52.Consider the functionsf(x) = 2* x+6 and g(x) = 5*2x.

likoan [24]

Answer:

$x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\\x \approx 1.65$

Step-by-step explanation:

Given

$f(x) = 2^{\left(x+6\right)}$

$g(x) = 5^{2x}$

We want to find $f(x) = g(x)$

For this you need to:

if $f(x) = g(x)$ , then $\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(2^{x+6}\right)=\ln \left(5^{2x}\right)$

Apply log rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x+6\right)\ln \left(2\right)=2x\ln \left(5\right)$

Solve for x

Expand $\left(x+6\right)\ln \left(2\right) = \ln \left(2\right)x+6\ln \left(2\right)$

$\ln \left(2\right)x+6\ln \left(2\right)=2x\ln \left(5\right)$

$\ln \left(2\right)x=2x\ln \left(5\right)-6\ln \left(2\right)\\\ln \left(2\right)x-2x\ln \left(5\right)=-6\ln \left(2\right)\\\left(\ln \left(2\right)-2\ln \left(5\right)\right)x=-6\ln \left(2\right)\\\\x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\approx 1.65$

8 0

3 years ago