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Lady_Fox [76]
3 years ago
13

Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do

the same job alone?​
Mathematics
2 answers:
olga nikolaevna [1]3 years ago
5 0

Answer: It would take 8 hours!!

Step-by-step explanation: Hope this helps!! <3

miv72 [106K]3 years ago
4 0

Answer:

Peter will complete the job in 8 hours

Step-by-step explanation:

Notice that  5 1/3 hours is  16%2F3  hours.

So, their combined rate of work is  1%2F%28%2816%2F3%29%29  = 3%2F16  of the job per hour.

Steven's rate of work is  1%2F16  of the job per hour.

Hence, Peter's rate of work is the difference  3%2F16 - 1%2F16 = 2%2F16 = 1%2F8  of the job per hour.

It implies that Peter will complete the job in 8 hours, working alone.

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a man paid $8000 for a car since then ,its value has fallen by 25% calculate the current value please help me​
Anna [14]

Answer:

$6000

Step-by-step explanation:

so basically, 25% of the 100% value is gone, right? which means that 75% of the value would remain. After that, all is easy. 8000*0.75, since 75% is 0.75, and the answer of that is 6000, so the current value is 6000 dollars.

3 0
2 years ago
the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3
nevsk [136]
For this case we have that the generic equation of the line is given by:
 y = mx + b&#10;
 Where,
 m: slope of the line
 b: intersection with the y axis.
 Since the line is parallel to PQ, then the slopes are equal.
 We have then:
 m = 1/4.&#10;
 On the other hand we have:
 b = -3&#10;
 Substituting values we have:
 y = (1/4) x - 3
 Answer:
 The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
 y = (1/4) x - 3
4 0
3 years ago
Solve the differential equation: dy/dx = 4y2x1/3
labwork [276]
The first thing you should do is use the method of variable separation. Then, integrate both sides to find the solution.
 In this case the answer is
  <span>D. - 1/y = 3x4/3 + C</span> 
 I attach the solution

4 0
3 years ago
Tanner earns $14.50 per hour for the first 8 hours he works each day. For every hour worked over 8, he earns 1.75 of his normal
bogdanovich [222]

Answer:

167.19

14.50 x 8 = 116.00

14.50 + 1.75 = 16.25 per hour overtime

16.25 × 3.15 hour overtime = 51.19

116.00 + 51.19 = 167.19

Step-by-step explanation:

7 0
3 years ago
For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you
zzz [600]

Answer:

  • x = 7
  • y = 97°
  • z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
  • y = 97°
  • z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0
2 years ago
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