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Furkat [3]
3 years ago
7

One custodian cleans a suite of offices in 3 hours. When a second worker is asked to join the regular custodian, the job takes o

nly 2 hours. How long does it take the second worker to do the same job alone?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

  6 hours

Step-by-step explanation:

Let x represent the time in hours it takes the second worker to do the job alone. Then each hour, 1/x of the job gets done by that worker. Similarly, the regular custodian accomplishes 1/3 of the job in each hour. Working together, they do 1/2 of the job each hour:

  1/3 +1/x = 1/2

  1/x = 1/2 -1/3 = 3/6 -2/6 = 1/6 . . . . subtract 1/3 and simplify

  x = 6

It takes the second worker 6 hours to do the same job alone.

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Order of operations (41-3^2)-(4+4)
ladessa [460]

Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.

So (41-3^2)-(4+4)=

41-9-8 = 32-8 = 24

8 0
3 years ago
Find the discriminant and the number of real roots for this equation.
Margaret [11]

Our discriminant is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Step-by-step explanation:

we need to find the discriminant and the number of real roots for the following equation:

4x^2 + 12x + 9 = 0

The discriminant is found by using square root part of quadratic formula:

b^2-4ac

where b =12, a=4 and c=9

Putting values:

=b^2-4ac\\=(12)^2-4(4)(9)\\=144-144\\=0

To find out the number of real roots using discriminant we have following rules:

  • if discriminant b^2-4ac >0 then 2 real roots
  • if discriminant b^2-4ac =0 then 1 real root
  • if discriminant b^2-4ac <0 then no real roots

Since our discriminant b^2-4ac is 0 so, 4x^2 + 12x + 9 = 0 has one real root.

Option C is correct.

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/4853862

#learnwithBrainly

6 0
3 years ago
Jimmy buys 5 notebooks that each cost the same amount and 1 binder that costs $7.50. The total cost is $18.75. How much does eac
Varvara68 [4.7K]

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

3 0
3 years ago
Read 2 more answers
Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise? pls halp
Simora [160]

Answer:

He will make $88 more a week then he did before.

Step-by-step explanation:

10% of $22 is 2.2.

2.2*40=88  

7 0
3 years ago
From the midpoint of the line segment whose end points are (5, 9) and (-3, 7)
Dmitry [639]
Mid-point= ( \frac{ x_{1}+ x_{2}  }{2} ,\frac{ y_{1}  y_{2} }{2}
Mid-point=(\frac{5+(-3)}{2} , \frac{9+7}{2}
Mid-point=(1, 8)
4 0
3 years ago
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