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krok68 [10]
4 years ago
14

A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2

miles per hour faster downstream due to the current. How far does the boat travel upstream? Which is the best equation to use?
Mathematics
1 answer:
AveGali [126]4 years ago
4 0

Answer:

17.5 miles per hour

Step-by-step explanation:

A boat travels upstream on a Mississippi river for 3.5 hours

The return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y represent the speed that was travelled upsteam

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream can be calculated as follows

= 3.5 × 5

= 17.5 miles per hour

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Select the least common multiple of 12 and 15. A. 3 B. 15 C. 60 D. 180
ad-work [718]

Answer:

60

Step-by-step explanation:

12=2⋅2⋅3

15=3⋅5

We see that they both share 3 is their LCM.

We divide each number by their LCM.

123⇒4

153⇒5

We multiply these two quotients and the LCM to get our final answer:

3⋅4⋅5=60

That is our answer!

Hope this helped! :)

7 0
3 years ago
Light travels 9.45 \cdot 10^{15}9.45⋅10 ​15 ​​ 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. t
Anna [14]

We are given that the distance light travel is:

9.45 x 10^15 meters / year

 

And that there is:

3.15 x 10^7 seconds / year

 

So the distance light travels per second is:

distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)

<span>distance = 3 x 10^8 meters / second</span>

6 0
4 years ago
Read 2 more answers
What is the volume of a cube with an edge length of 3.2 meters?
klemol [59]
Volume of a cube is Side to the third power ( S^3)

S = 3.2 meters

Volume = 3.2^3

Volume = 32.768 cubic meters (cm^3)

You may need to round the answer.. The problem doesn't say how many decimal places are needed.
8 0
3 years ago
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How long must $542 be invested at a rate of $7
gtnhenbr [62]
If you were trying to find how long it would take to $303.52 in interest then your answer would be 8 years. Hope this helps!
8 0
3 years ago
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4x-2y&lt;-2<br><br>a) (2,8) b) (0,1) c) (3,7) d) (5,8)​
amm1812

Answer:

a) (2, 8)  

Step-by-step explanation:

The easiest way is to insert the coordinates into the inequality.

a) (2, 8)

\begin{array}{rcl}4(2) - 2(8) & < & -2\\8 - 16 & < & -2\\-8 &< & -2\\\end{array}\\\textbf{TRUE}

b) (0, 1)

\begin{array}{rcl}4(0) - 2(1) & < & -2\\0 - 2 & < & -2\\-2 &< & -2\\\end{array}\\\text{False}

c) (3, 7)

\begin{array}{rcl}4(3) - 2(7) & < & -2\\12 - 14 & < & -2\\-2 &< & -2\\\end{array}\\\text{False}

d) (5, 8)

\begin{array}{rcl}4(5) - 2(8) & < & -2\\20 - 16 & < & -2\\4 &< & -2\\\end{array}\\\text{False}

You could also plot the inequality and test the points. You would get a graph like the one below. Point (2, 8) is the only one that satisfies the inequality. Points (0, 1) and (3, 7) do not satisfy the inequality because they are on a dashed line.

7 0
3 years ago
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