Can someone help with this

| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the

Westkost [7]

Answer:

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

Left Speed(km/h) Time

Car: 12PM X

Van: 12PM 60

Car/Van

DistanceCar AB + z

DistanceVan Az

Ratio: (AB+z)/Az = 7/5

Time until both meet = T (in hours)

Distance Car: xT

Distance Van: 60T

====

xT = AB + z

60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is: time (hr) = 108 km/(84 km/h)

time = 1.286 hours

Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)

distance = 77.14 km

At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let t be the time after 1.286 hours that both vehicles meet/collide.

t*(60 km/h) + t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

==============

CHECK

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

YES

3 0

3 years ago

Find the length of radius r. 9.9 13 7

dem82 [27]

Answer:

Radius = 7

Step-by-step explanation:

Since BA is tangent to circle O, it creates a 90° angle with the radius

Therefore, you can use Pythagorean theorem to solve this problem

a² + b² = c²

Let's say a is the radius

b is 5

c is 8.6

a² + 5² = 8.6²

a² + 25 = 73.96

Subtract 25 from both sides

a² = 48.96

Root both sides

a ≈ 6.997142274

4 0

4 years ago

Put the following equation of a line into slope-intercept form, simplifying all

kolbaska11 [484]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To put this into slope-intercept form, you need to isolate/get the variable "y" by itself in the equation:

8x - 6y = 6 Subtract 8x on both sides

8x - 8x - 6y = 6 - 8x

-6y = -8x + 6 Divide -6 on both sides to get "y" by itself

$\frac{-6y}{-6} =\frac{-8x+6}{-6}$

$y=\frac{-8}{-6} x+\frac{6}{-6}$

$y=\frac{4}{3}x -1$

3 0

3 years ago

Read 2 more answers

The sequence is 3,6... is multiplying by 2 correct or adding 3?

zloy xaker [14]

The sequence is adding by three

7 0

3 years ago

Read 2 more answers

A race is 3 miles long. There are water stations every 3/4 mile along the route. How many water stations are along the route?

Vilka [71]

There will be 4 water stations.

Why?

3/4 = .75 as a decimal

Personally, I believe that it’s easier to use decimals, I can explain the way in fractions in the comments if you’d like, just ask.

Anyway, .75 • 4= 3

or 3 / .75 = 4 (division is easier with bigger numbers)

so, there will be 4 water stations, given that the one race is 3 miles long.

If this explanation seems unclear, I’d be happy to explain. Feel free to ask in the comments!! I’m happy to help.

Hope this helps!

(If you find this answer helpful, please consider marking me brainliest, Thanks!)

6 0

3 years ago