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fenix001 [56]
3 years ago
15

Maria's family drove 140 mi to her grandparents' house and averaged 56 ​ mi/h ​ on the way there. On the return trip, they avera

ged 50 mi/h . What was the total time Maria's family spent driving to and from her grandparents' house?
Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Answer: 5.3 Hours


Step-by-step explanation: 140 mi there at 56 mi per hour would be 2.5 hours. Then back 140 mi at 50 mi/h would be 2.8. 2.5 plus a 2.8 is 5.3 hours


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4(2x+8)=10x+2-2x+30 what is x?
Anastaziya [24]

Let's solve your equation step-by-step.

4(2x+8)=10x+2−2x+30

Step 1: Simplify both sides of the equation.

4(2x+8)=10x+2−2x+30

(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)

8x+32=10x+2+−2x+30

8x+32=(10x+−2x)+(2+30)(Combine Like Terms)

8x+32=8x+32

8x+32=8x+32

Step 2: Subtract 8x from both sides.

8x+32−8x=8x+32−8x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All real numbers are solutions.

5 0
3 years ago
If 40 is increased to 56, what is the percent of change? <br> a80% <br> b29% <br> c40% <br> d71%
Black_prince [1.1K]

Answer:40%

Step-by-step explanation:

3 0
3 years ago
A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the
Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

28 in * (1 ft / 12 in) = 2.33 ft

Now yes, we can continue, we have the following data:

vi = 0

vf = 2700 ft / s

the equations in this case are as follows:

vf = vi + a * t

vf = a * t

rearranging for a

a = vf / t (1)

now with the position equation we know that:

x = vi * t + (a * t ^ 2) / 2

x = (a * t ^ 2) / 2 (2)

now replacing (1) in (2), we are left with:

x = (vf / t) * (t ^ 2) / 2

knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

2.33 = 2700 * t / 2

t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

3 0
3 years ago
Find the equilibrium point for the pair of supply and demand functions. Demand: q=18/x Supply: q=x/2
storchak [24]

Answer:

The equilibrium point is at x = 6

Step-by-step explanation:

Given

Demand (q) = \frac{18}{x}

Supply (q) = \frac{x}{2}

Required

Determine the equilibrium point

The equilibrium point is determined by

Demand = Supply

Substitute values for Demand and Supply

\frac{18}{x} = \frac{x}{2}

Cross Multiply

x * x =  18 * 2

x^2 = 36

Take positive square root of both sides

x = 6

Hence;

<em>The equilibrium point is at x = 6</em>

5 0
3 years ago
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algol [13]

Answer:I think 11

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8 0
3 years ago
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