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Murrr4er [49]
3 years ago
5

A truck traveled 205 miles in 312 hours. The distance is the product of the rate and the time. To the nearest tenth, what is the

average speed of the delivery truck? Enter your answer in the box.
Mathematics
2 answers:
Anton [14]3 years ago
8 0

Answer: 0.7 m/s


Step-by-step explanation:

The problem gives you the distance and the ammout of time this distance was traveled in. so you divide the distiance by the time and it will give you the answer

tigry1 [53]3 years ago
7 0

Answer:

0.7 miles per hour

Step-by-step explanation:

Given: A truck traveled 205 miles in 312 hours.

To find: Average speed of the delivery truck.

Solution: We know that Distance=speed\times time

Here, the distance traveled by the truck is 205 miles.

The time taken by the truck is 312 hours.

Now, to find the speed we need to convert the above equation in terms of speed. So, we have speed=\frac{Distance}{time}

\implies speed=\frac{205}{312}

\implies speed=0.657

Now, after rounding the speed to nearest tenth we have, speed of the truck as 0.7 miles per hour.

Hence, speed of truck is 0.7 miles per hour.

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3 years ago
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

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2 years ago
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3 years ago
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Kruka [31]

Answer:

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Step-by-step explanation:

formula:

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d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

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I think the answer is
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