All categories

3 years ago

If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

d = 1.67 miles

Step-by-step explanation:

Given that,

Speed of a person, $s=3\dfrac{1}{3}\ mph$

We need to find how many miles can you walk in 30 minutes, given the same pace.

30 minutes = 0.5 h

$3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph$

Speed = distance/time

$d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles$

So, the person will cover a distance of 1.67 miles

You might be interested in

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

3 years ago

4. Tikili wants to invest $3500 at her local bank. She will receive an interest rate of 5% compounded

alexandr402 [8]

Answer:

$3863.35 = 3500(1 + \frac{0.05}{2} )^{(2 \times 2)}$

Step-by-step explanation:

The formula for this equation is

$a = p(1 + \frac{r}{n} )^{(n \times t)}$

a is the final result

p is the starting amount (deposited)

r is the interest rate

n is the number of times it's compounded

t is the time

because it says compound annually and it's after 2 years both t and n equal 2. I rounded a for you, but if you don't need it rounded here it is: 3863.345117

Please double check me I may be wrong, this is my second time doing these type of questions

3 0

3 years ago

Verify the identity. sin (x+pi/2)=cos x

hram777 [196]

Given data
sin (x+pi/2)=cos x
now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

sin (x+pi/2)=cos x

4 0

3 years ago

HELP PLS IK ITS NOT C JUST REWRITING IT WITHIUT PARENTHESIS

den301095 [7]

Answer:

Wouldn't it be answer B?

Step-by-step explanation:

The rest of the answers have addition which is not in the problem provided.

3 0

3 years ago

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}.

nadezda [96]

An inverse function will simply reverse the coordinate pairs of the original function. If f(x)=(x,y), f^-(x)=(y,x).

So 18 is H

...

If f(x)=y=3x-4, to find the inverse function, solve for x, and then reverse the labels as seen below...

y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3

5 0

3 years ago