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Mamont248 [21]
3 years ago
11

The distance to school from Steven's house is 3/5 of a mile. Steven walked 2/3 of the way there and stopped to rest. How far did

Steven travel before he stopped to rest?
Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

2/5 of a Mile

Step-by-step explanation:

Total mikes from school to Steven house = 3/5 of a Mile

If Steven walked 2/3 of the way there, the distance he walked =2/3×3/5 = 2/5

If he stopped the rest, then the distance he travelled before stopping is 2/5 of a Mile

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At maximum speed, an airplane tracked 1720 miles against the wind in 5 hours. Flying with the wind, the plane can travel the sam
nataly862011 [7]
Recall your d = rt, distance = rate * time.

as the plane goes against the wind, the plane is not really flying at "x" mph, but is really going slower, at " x - y ", because the wind is subtracting speed from it.

likewise, when the plane is going with the wind, is not really going at "x" mph, but at " x + y ", is going faster due to the wind, thus

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the wind}&1720&x-y&5\\
\textit{with the wind}&1720&x+y&4
\end{array}
\\\\\\
\begin{cases}
1720=(x-y)5\implies \frac{1720}{5}=x-y\\\\
344=x-y\implies \boxed{y}=x-344\\
---------------\\
1720=(x+y)4\implies \frac{1720}{4}=x+y\\\\
430=x+y\implies 430=x+\left( \boxed{x-344} \right)
\end{cases}
\\\\\\
430=2x-344\implies 774=2x\implies \cfrac{774}{2}=x\implies 387=x
6 0
3 years ago
Increase a price of £30 by 10%
Phoenix [80]

Answer:

£33

Step-by-step explanation:

A 10% increase is the same as multiplying a value by 1.1.

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3 years ago
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Rachel has 90p. Simon has £2.
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Step-by-step explanation:

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7.
Iteru [2.4K]

Answer:

a. 45 π

b. 12 π

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Step-by-step explanation:

a.

If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:

Radius: 3

Height: 5

Then the volume of the cylinder is:

V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π

b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:

Radius: 3

Height: 4

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π

c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):

Then we will have:

Radius: 4

Height: 3

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π

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3 years ago
The greatest number of people drinks how many glasses of water
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eight people drink 6 glasses of water

Step-by-step explanation:

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