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Maurinko [17]
3 years ago
6

A motorboat heads upstream a certain distance and returns to its starting point. The trip up and back

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

67.5 miles

Step-by-step explanation:

If x is the distance one way, then the time it takes when moving with the current is:

x = 15 t₁

The time it takes when moving against the current is:

x = 5 t₂

The total time is 9 hours:

t₁ + t₂ = 9

Substituting:

x/15 + x/5 = 9

4x/15 = 9

4x = 135

2x = 67.5

The total distance round trip is 67.5 miles.

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Find an expression for the nth term ( tn ) in each of the following sequences:
Alexandra [31]

Answer:

The expression for the nth term is Tn = 8n -7

Step-by-step explanation:

Here, we are to find an expression for the nth term of the sequence.

Mathematically, the nth term of an arithmetic sequence can be expressed as;

Tn = a + (n-1)d

for T2, the equation is

a + d = 9

for T4, the equation is

a + 3d = 25

we can substitute the equation of T2 into T4 but we first need to rewrite T4

a + d + 2d = 25

9 + 2d = 25

2d = 25 -9

2d = 16

d = 16/2

d = 8

now since a + d = 9

a = 9-d

a = 9-8

a = 1

So the expression for the nth term would be;

1 + (n-1)8

1 + 8n - 8

= 8n -8+1

= 8n -7

6 0
4 years ago
Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)
12345 [234]

Answer:

y= 1/4 x +7

Step-by-step explanation:

The slope intercept form of a line is

y = mx + b where m is the slope and b is the y intercept

the slope is 1/4 and the y intercept is 7

y= 1/4 x +7

7 0
3 years ago
Mr. Walker, a runner, asked students to find the unit rate of the winner of the first Boston Marathon in 1897. John J. McDermott
EleoNora [17]

Answer: 8.4 miles per hour

Step-by-step explanation:

Since, total distance = 24.5 miles,

Time taken =  175 \text{ minutes} = \frac{175}{60} \text{ hours} =\frac{35}{12} \text{ hours}

Thus,

\text{ The unit rate} = \frac{\text{ Total distance}}{\text{ Time taken}}

=\frac{24.5}{35/12}

=\frac{294}{35}

=8.4\text{ miles per hour}

6 0
3 years ago
A man travels a distance of 75km in 2hours. if he travels for 5 hours find the distance he travels​
Arte-miy333 [17]

Answer:

187. 5

Step-by-step explanation:

If 2h=75km

Then 5h=?(if more, Less divide)

5÷2×75km =187.5km

7 0
3 years ago
can someone help me?? What is the solution to the linear equation? d – 10 – 2d + 7 = 8 + d – 10 – 3d d = –5 d = –1 d = 1 d = 5
erik [133]

Answer:

No

Step-by-step explanation:

No

6 0
4 years ago
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