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user100 [1]
2 years ago
5

Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work toget

her?
Mathematics
1 answer:
Hunter-Best [27]2 years ago
4 0

Answer:

12/5hours=2.4 hours

Step-by-step explanation:

Sam:6hours

Tom:4hours

This is a rate problem

Sam's rate is one job completed in 6 hours which is 1/6

Tom's rate is one job completed in 4 hours which is 1/4

Together, they could complete 1/4+1/6 of the job in y hours

We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y

1/4+1/6=1/y

The least common denominator is 12y

Multiplying through by the LCD which gives:

12y(1/4)+ 12y (1/6)= 12y (1/y)

3y + 2y=12

5y = 12

y=12/5 hours=2.4hours

Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together

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5. The perimeter of a polygon is__________ equal to 2w+21.
mart [117]
The answer to this question is A
4 0
3 years ago
A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 incl
Paul [167]

Answer:

range of scores on final exam student get  B is 90 to 100

Step-by-step explanation:

given data

Psychology 101 score = 66

average of his midterm = between 78 and 90

maximum = 100 points

to find out

range of scores on final exam student get  B

solution

we consider here lowest marks need in final = x

so average at two marks should be

equation is  

average marks = 0.5 × ( mid term marks + final marks )      .................1

put here value

78 = 0.5 ×  ( 66 + x )

x = 90

and

90 = 0.5 ×  ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get  B is 90 to 100

3 0
3 years ago
Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)
Monica [59]

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

7 0
2 years ago
The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre
Monica [59]

Answer:

  (p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

  y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)

  y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

  b(y -b) = -a(x -a)

  by -b² = -ax +a²

  ax +by = a² +b²

__

For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

  5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

  2(5x +4y) = 2(41)

  10x +8y = 82

Comparing to 10x +py = q, we see that ...

 p = 8

  q = 82

4 0
2 years ago
HELP ME!!!T^T
andreev551 [17]
I'm pretty sure there where 64 teams in the start of the tournement
4 0
3 years ago
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