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gtnhenbr [62]
3 years ago
13

Anna hiked 95⁄8 miles in 23⁄4 hours. How fast did she walk overall? A. 31⁄4 miles per hour B. 35⁄8 miles per hour C. 31⁄2 miles

per hour D. 31⁄3 miles per hour
Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

Answer:

C

Step-by-step explanation:

We have the distance Anna walks, which is 9 5/8 miles and the time she takes to walk that far is 2 3/4 hours. Velocity is defined as distance over time:

V=d/t

Therefore we can calcuate her velocity which is speed. We change the numbers to fractions

[tex]V=(77/8)/(11/4)=(77/8)*(4/11)=77/22[/te]

77/22 is 3 1/2 so the answer is C

Pani-rosa [81]3 years ago
6 0

Answer:

C. 3 1/2 miles per hour

Step-by-step explanation:

I just converted the fractions to decimal form.

5/8 = 0.625           9 + 0.625   = 9.625

3/4 = 0.75             2 + 0.75     = 2.75

Now divide the 2 numbers:

9.625 / 2.75 = 3.5

Finally, convert the decimal back to a fraction:

3.5 = 3 1/2

Hope this helps!


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Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx
Soloha48 [4]

Answer:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

Step-by-step explanation:

For this case we need to find the following integral:

\int x(8-x)^{3/2}dx

And for this case we can use the substitution u = 8-x from here we see that du = -dx, and if we solve for x we got x = 8-u, so then we can rewrite the integral like this:

\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)

And if we distribute the exponents we have this:

\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du

Now we can do the integrals one by one:

\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C

And reordering the terms we have"

\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C

And rewriting in terms of x we got:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

And that would be our final answer.

8 0
3 years ago
The point P(5, −1) is rotated 90 degrees clockwise around the origin.
azamat

Answer:

C

Step-by-step explanation:

:)

3 0
2 years ago
Read 2 more answers
1. -3x=21<br> 2. 13x=6<br> 3. -12x=-7<br> answer the equation for points and brainiest.
andre [41]

Answer:

1. x = -7

2. x = 6/13

3. x = 7/12

Step-by-step explanation:

1. x = 21 / -3

x = -7

2. 13x = 6

x = 6 / 13

x = 6/13

3. -12x = -7

x = -7 / -12

x = 7/12

<em>Hope that helps!</em>

3 0
2 years ago
Read 2 more answers
Is 0.35 grater than 300 mL
Sveta_85 [38]

Answer:

yes

Step-by-step explanation:

yes

6 0
2 years ago
What is an equation of the line that passes through the points <br> (8,2) and <br> (7,1)?
gogolik [260]

Answer:

Step-by-step explanation:

first, we find the slope

slope = (y2 - y1) / (x2 - x1)

(8,2)....x1 = 8 and y1 = 2

(7,1)....x2 = 7 and y2 = 1

now we sub

slope = (1 - 2) / (7 - 8) = -1/-1 = 1

y = mx + b

slope(m) = 1

use either of ur points...I will use (8,2)...x = 8 and y = 2

now we sub and find b, the y intercept

2 = 1(8) + b

2 = 8 + b

2 - 8 = b

-6 = b

so ur equation is : y = 1x - 6....or just y = x - 6 <===

8 0
3 years ago
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