All categories

2 years ago

3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?

1 answer:

6 0

$\stackrel{mixed}{7\frac{1}{4}}\implies \cfrac{7\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{29}{4}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} K ms&hours\\ \cline{1-2} 681 & 1\\ x& \frac{29}{4} \end{array} \implies \cfrac{681}{x}=\cfrac{1}{~~ \frac{29}{4}~~}\implies \cfrac{684}{x}=\cfrac{4}{29} \\\\\\ 19836=4x\implies \cfrac{19836}{4}=x\implies 4959=x$

You might be interested in

Help can someone please help me

kkurt [141]

Answer:

B=55

Step-by-step explanation:

2x+3x+2x+5=180

7x=175

X=25

B= 2x+5

B=2*25 +5

B=55

7 0

3 years ago

Emergency <br> Need help in algebra fast

8_murik_8 [283]

Answer:

y = -8/3x + 8

Step-by-step explanation:

y = -8/3(x - 3)

Distributing the -8/3 you get:

y = -8/3x + 8

(The -3 in (x - 3) cancels out the 3 in -8/3, therefore it creates 8 with the negative multiplying by a negative.)

7 0

2 years ago

A pump moves 70 gallons of water

stepladder [879]

It will take 29 minutes to empty a 2,030- Gallon Tank.
70 x 1 = 70 Gallons per minute
2,030/70 = 29 minutes

6 0

2 years ago

PLS HELP ASAP WILL GIVE BRAINlEST AND 100 POINTS

natima [27]

Answer:

60 km/hr

Step-by-step explanation:

First we will determine the speed of the bus following it's increase. The speed is increased by:

50m/9sec=50.60.60/9/1000 .km/hr=20 km/hr

Therefore, the new speed is V = 50 + 20 + = 70

km/hr. If x is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within ( x + 42/60 ) hr. When the speed of the bus is V = 70 km/hr, the travel time is x -30/60 hr. Then:

50(x+42/60)=70(x-30/60)

5(x+7/10)=7(x-1/2)

7/2+7/2=7x-5x

2x = 7

x=7/2 hr

So, the bus is scheduled to make the trip in 3 he 30 minutes.

The distance between the two towns is 70 ( 7/2 – 1/2 ) = 70 • 3 = 210 km and the scheduled speed is:

270/7/2=60km/hr

3 0

2 years ago

Evaluate the integral using integration by parts with the indicated choices of u and dv. (use c for the constant of integration.

Zolol [24]

Answer:

(7/3) x^3 ln x - (7/9) x^3 + c.

Step-by-step explanation:

∫udv = uv - ∫vdu

u = ln x and dv = 7x^2dx so,

du = 1/x and v = 7x^3/3 so:

∫7x^2 ln x = (7x^3/3) ln x - 7 ∫x^3/3 * 1/x dx

= 7/3 x^3 ln x - 7 ∫x^2/3 dx

= 7/3 x^3 ln x - 7/x^3/2 * 1/3 dx

= 7/3 x^3 ln x - 7/9 x^3 + c.

4 0

1 year ago

3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?​

3. A jet traveled at an average speed of 681 kilometers an hour. At that rate, how far did the jet go in 7 1/4 hours?