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4 years ago

Marcus hikes at a rate of 2 miles per hour if he hikes for 6 1/3 hours how many will he hike

Mathematics

2 answers:

maria [59]4 years ago

5 0

Answer:

Marcus will walk 38/3 miles.

Step-by-step explanation:

Given data

Rate of hiking (r): 2 miles per hour = 2 mi/h

Time elapsed (t): 19/3 hours

6 1/3 = 6 + 1/3 = 18/3 + 1/3 = 19/3

We can find the distance (d) that he walks using the following expression.

r = d/t

d = r × t = 2 mi/h × 19/3 h = 38/3 mi = (36 + 2)/3 mi = 12 2/3 mi

Marcus will walk 38/3 miles.

Firdavs [7]4 years ago

3 0

2 = 1 hour
x = 6 1/3

2 * 6 1/3 = 12 2/3

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A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng

Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft (Correct)

3 0

3 years ago

If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by

Talja [164]

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

6 0

4 years ago

Brady recorded the number and color of cars in the parking lot. 45% of the cars in the parking lot were white. If Brady counted

MA_775_DIABLO [31]

Answer:

180 cars

Step-by-step explanation:

Like you can see in the picture, I like to set up a proportion, so 81 over X and 45 over 100. Then, you can cross multiply, so 81 x 100 = 8100 and then divide, 8100 ÷ 45 = 180, your answer!

4 0

3 years ago

Read 2 more answers

The savings account offering which of these APRs and compounding periods

Ann [662]

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula $= (1+\frac{r}{n})^n -1$

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly $4.0784\%$

$n = 12$

$\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403$

In choice b:

When compounded is quarterly $4.0792\%$

$n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102$

In choice c:

Whenn compounded is daily $4.0730 \%$

$n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328$

In choice d:

When compounded is semiannually $4.0798\%$

$n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066$

7 0

3 years ago

Read 2 more answers

If a graph of y=-4x +2 were changed to a graph of y=-4x+5, how would the y- intercept change?

Dmitry [639]

Answer:

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.

Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

8 0

3 years ago