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2 years ago

11

A truck leaves point A traveling 60 mph. After two hours, a car leaves point A traveling 90 mph and follows the truck's route. A

t what distance from point A will the car catch up with the truck?

1 answer:

aliina [53]2 years ago

7 0

The car catches up with the truck after a distance of 360 miles from point A.

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

For truck:

60 = d / t

d = 60t

Since the car leaves the truck after 2 hours, hence:

For the car:

90 = d/ (t - 2)

d = 90t - 180

For the truck and car to catch up:

60t = 90t - 180

30t = 180

t = 6 hours

d = 60t = 60(6) = 360 miles

The car catches up with the truck after a distance of 360 miles from point A.

Find out more at: brainly.com/question/22610586

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$3523.44

Step-by-step explanation:

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3 years ago

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Sergio [31]

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Step-by-step explanation:

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2 years ago

In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures

erastova [34]

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

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Let the second interior angle be x

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7 0

2 years ago

What’s the correct answer for this?

otez555 [7]

Answer:

0.7 + 0.4 - 0.2 = 0.9

Step-by-step explanation:

Let's denote the probabilities as following:

The probability that the show had animals is

P(A) = 0.7

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P(B) = 0.4

The probability that the show had animals and aired more than 10 times is

P(A⋂B) = 0.2

The probability that a randomly selected show had animals or aired more than 10 times is P(A⋃B)

The correct form of addition rule to determine the probability that a randomly selected show had animals or aired more than 10 times is:

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Hope this helps!

7 0

3 years ago

1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

<u>case B)</u> point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

<u>case C)</u> point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

<u>case D)</u> point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

3 years ago

Read 2 more answers