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Inessa05 [86]
4 years ago
5

At what speed was a train traveling on a trip when it had completed half of the total distance of the trip? The trip was 460 mil

es long and took 4 hours to complete.
Mathematics
1 answer:
kondor19780726 [428]4 years ago
3 0

Answer:

230 mph in 2 hours

Step-by-step explanation:

first i found out how many miles does the train travel in one hour

460 miles ÷ 4 hours

= 115 mph / 115 miles in one hour

the question asks what was the speed of the train when it completed half the distance

half the distance = 1/2 of 460 =230 miles

230 miles is half the distance of the trip

& we know this is correct because earlier we found out that the train travels 115 miles in one hour & in 2 hours it travels 230 miles

115×2=230.

the one thing that i dont quite know is if you say the train is traveling 115 mph or 230 miles in 2 hours .im not sure of tnat .

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Solve the following inequality for g. Write your answer in simplest form.<br> -5-3(5g-4)≥2g+6-10
denpristay [2]

Answer:

g\leq \frac{11}{17}

Step-by-step explanation:

-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}

3 0
3 years ago
In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin
FrozenT [24]

Answer: The length of segments between this point and the vertices of greater base are 7\frac{5}{7} and 18.

Step-by-step explanation:

Let ABCD is the trapezoid, ( shown in below diagram)

In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7

Let P is the point where The extended legs meet,

So, according to the question, we have to find out : AP and BP

In Δ APB and Δ DPC,

∠ DPC ≅ ∠APB ( reflexive)

∠ PDC ≅ ∠ PAB    ( By alternative interior angle theorem)

And, ∠ PCD ≅ ∠ PBA  ( By alternative interior angle theorem)

Therefore, By AAA similarity postulate,

\triangle APB\sim \triangle D PC

Let, DP =x

⇒ \frac{3+x}{18} = \frac{x}{11}

⇒  33 +11x = 18x

⇒ x = 33/7= 4\frac{5}{7}

Thus, PD= 4\frac{5}{7}

But, AP= PD + DA

AP= 4\frac{5}{7}+3 =7\frac{5}{7}

Now, let PC =y,

⇒ \frac{7+y}{18} = \frac{y}{11}

⇒ 77 + 11y = 18y

⇒ y = 77/7 = 11

Thus, PC= 11

But, PB= PC + CB

PB= 11+7 = 18



7 0
3 years ago
When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to
LenaWriter [7]
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5,280/42 = 125.714
6 0
4 years ago
Determine whether the following system of equations has one solution, no solution, or an infinite number of solutions. Explain y
expeople1 [14]
<span>A) 2x - 4y = 10
B) 7x - 9y = 12
Multiplying equation A by -3.5
A) -7x +14y = -35 then adding B
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6 0
3 years ago
Find the point-slope equation for
iris [78.8K]

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Step-by-step explanation:

The point-slope equation is y-y_{1} =m(x-x_{1} ). All we have to do is fill in all the values except for y and x.

To find m, you use \frac{y_{2}-y_{1}  }{x_{2} -x_{1} }. Since we are given 2 points, we cna plug them in.

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y-(-9)=-2(x-9)

y+9=-2(x-9)

4 0
4 years ago
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