All categories

2 years ago

Brian has ridden 38 miles of a bike course. The course is 40 miles long. What percentage of the course has Brian ridden so far?

Mathematics

1 answer:

Vesnalui [34]2 years ago

6 0

Answer:

95%.

Step-by-step explanation:

The fraction of the total distance that he's ridden

= 38/40 = 19/20.

Now we multiply by 100:-

19/20 * 100

= 95%.

You might be interested in

Help me please :) 2(2 - x) = -3(x + 1)

kondaur [170]

The answer is x=-7

Explanation:

3 0

2 years ago

Michelle bought 30 marbles at the flea market. She wants to put them into little bags with 6 marbles in each bag. How many bags

Oksi-84 [34.3K]

She will need 5 bags :)

6 0

3 years ago

Find the annual percentage yield (APY) in the following situation. A bank offers an APR of 4.8% compounded daily. The annual per

sweet-ann [11.9K]

Answer:

4.92%

Step-by-step explanation:

First of all, recall that if you increase a number C in x%, then you will have $C+\frac{x}{100}C=C(1+\frac{x}{100})$

So <em>increasing a number in x% is equivalent to multiply it by (1+x/100) </em>

Now, suppose you have deposited $C where C is any amount > 0

If the bank offers an APR of 4.8% compounded daily, it means that your money increases $\frac{4.8}{365}\%=\frac{0.048}{365}$ daily.

So, after 365 days you will have

C multiplied by (1+0.048/365) 356 times, that is

(1) $C(1+\frac{0.048}{365})^{365}=C(\frac{365.048}{365})^{365}$

Now, you want to find a value x, such that C increased in x% equals the amount in (1).That would be the percentage your money increased in one year (APY)

$C(\frac{365.048}{365})^{365}=C(1+\frac{x}{100})\Rightarrow x=100[(\frac{365.048}{365})^{365}-1]$

Computing this amount, we get

x = 4.92 rounded to the nearest hundreth.

And the bank is offering an APY of 4.92%

7 0

3 years ago

Can you help me with this question please?

katovenus [111]

V = (1/2) area of cross-section times length.

Note: I will use L in place of x to represent the length of the prism.

In short, V = (1/2)*b*h*L.

To find the surface area, use

A = bh + 2Ls + Lb

Volume given to be 15, 510.

Part (a) set up:

15, 510 = (1/2)(60)(11)L

Can you finish? Just solve for L to find your x-value.

Part (b) set up:

To answer part (b), you must find the value of L in part (a).

A = (60)(11) + 2L(61) + L(60)

Understand? Take it from here.

5 0

3 years ago

The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder

irina1246 [14]

Answer: 8cm

Step-by-step explanation:

$V=\pi r^2h$

Solve for h;

$h=\frac{V}{\pi r^2}$

$h=\frac{400cm^3}{(3.14)(4cm)^2}$

$h=7.96\\h=8$

3 0

3 years ago

Brian has ridden 38 miles of a bike course. The course is 40 miles long. What percentage of the course has Brian ridden so far?​

Brian has ridden 38 miles of a bike course. The course is 40 miles long. What percentage of the course has Brian ridden so far?