Simplify 8(5x-3y) please help!:)

A train goes from springfield, MA, to boston at 40 mph. On the way back, it returns with a speed 80 mph. If it takes an hour les

alina1380 [7]

The average speed for the entire journey will be 53.333 miles per hour.

<h3>What is the average speed?</h3>

The average speed is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.

The distance from the Springfield, MA, to Boston is, L

v₁ is the velocity during traveling from Boston to Springfield, MA

v₂ is the velocity during traveling from Springfield, MA to Boston

t₁ is the time needed to travel from Boston to Springfield, MA

t₂ is the time needed to travel from Springfield, MA to Boston

t is the total time period of the journey

v is the average speed

From the formula of distance;

Distance = speed × time

The speed of train for the going from Springfield, MA, to Boston is 40 mph. The time period is calculated as;

L = v₁ × t₁

t₁ = L/v₁

t₁ = L/40

The speed of train for the going from Boston to Springfield, MA, is 80 mph. The time period is calculated as;

L = v₂ × t₂

t₂ = L/v₂

t₂ = L/80

The total time is taken;

t = t₁ + t₂

t = (L/40)+( L/80)

t=3L/80

The ratio of total distance traveled to the total time spent by the body is known as average speed, calculated as;

Average speed = Total distance / Total time

v = 2L / (3L/80)

v= (2L × 80)/3L

v = 160 / 3

v = 53.333 miles per hour.

Hence the average speed for the entire journey will be 53.333 miles per hour.

To learn more about the average speed, refer to the link;

brainly.com/question/12322912

#SPJ1

4 0

1 year ago

Can you guys pls help

miskamm [114]

Check the picture below.

so the lateral area of the pyramid is really just the area of four triangles whose base is 10 and height is also 10, now, we're excluding the bottom because that's not lateral area.

$\stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{10}) \right]}\implies 2(100)\implies \text{\LARGE 200}~ft^2$

8 0

1 year ago

The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2

Vera_Pavlovna [14]

<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

$x=-2$

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

$\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.$

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

$\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.$

$5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2$

Now, substituting "y" into the first equation, to isolate "x" we have:

$y=x+4\\\\2=x+4\\\\x=2-4=-2$

Hence we have that the x-coordinate of the solution to the system of equations is

$x=-2$

Have a nice day!

3 0

3 years ago

Read 2 more answers

Martha has 20 more Oreos than Theo. Cla

poizon [28]

Answer: 20+x

Step-by-step explanation:

Let's petend that x=20

when we add that it us 40 so that means that martha has 40 oreos

this was answer by an unknowed sic grader

8 0

3 years ago

Which inequality is true?

ICE Princess25 [194]

Answer:

∠6 > ∠3 is TRUE.

Step-by-step explanation:

We know that acute angle is less than 90 degree while obtuse angle is more than 90 degree. By looking at the given angles, we can easily determine which angle is obtuse or acute. then we can decide which angle is bigger to find the answer.

∠10 > ∠7

FALSE;

Because∠10 is acute while ∠7 is obtuse.

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∠6 > ∠3

TRUE;

Because∠3 is acute while ∠6 is obtuse.

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∠9 > ∠11

FALSE;

Because∠9 is acute while ∠11 is obtuse.

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∠8 > ∠11

FALSE;

Because∠8 is acute while ∠11 is obtuse.

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8 0

2 years ago