How may riders filled 20 cars?

Gerry arrived at the bus stop x hours past noon. Dale arrived 4 hours later. Pat arrived at 5 P.M., x hours after Dale.

victus00 [196]

Answer:

<em>Gerry arrived at the bus station at 12:30 P.M.</em>

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.

8 0

3 years ago

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the

SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

$x+y=1310\ \ \ \ \ equation\ 1$

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

$2.1x+4.4y=4752$

Multiplying with 10 on both side, we get;

$10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2$

Now multiplying equation 1 by 21, we get;

$21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3$

Now subtract equation 3 from equation 2, we get;

$(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870$

On substituting the value of y in equation 1, we get the value of x;

$x+y=1310\\\\x+870=1310\\\\x=1310-870=440$

Hence There were 440 Standard version of songs downloaded in Web music store.

7 0

3 years ago

What is the other square root of 119 + 120i?

MakcuM [25]

Answer:

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

Step-by-step explanation:

Given

z = 119 + 120 i

Let $\sqrt{119+120 i}=p+iq$

Squaring both sides

$119+120 i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$119=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

120=2pq

$q=\frac{60}{p}$

Substitute q in 1

$119=p^2-(\frac{60}{p})^2$

$p^4-119p^2-(68)^2=0$

Let $x=p^2$

$x^2-119x-4624=0$

$x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}$

$x=\frac{119\pm 180.71}{2}$

we take only Positive value because $p^2=x$

x=149.85

$p^2=149.85$

thus $p=\pm 12.24$

$q=\pm 4.90$

thus,

$\sqrt{119+120 i}=\pm (12.24+i 4.90)$

8 0

3 years ago

Can somebody help me answer these plz?

Georgia [21]

120 would be the answer

5 0

3 years ago

Pick the set of numbers which contain ALL perfect squares:

Bumek [7]

The answer is D I believe.

8 0

3 years ago

Read 2 more answers