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melomori [17]
2 years ago
10

Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint

a room
Mathematics
2 answers:
sergij07 [2.7K]2 years ago
8 0

Answer:

  72 minutes

Step-by-step explanation:

The sum of the rates of work in rooms per hour is ...

  Jill's rate + Jim's rate

  = (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour

__

Then the combined rate in hours per room is ...

  1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)

  = 72 minutes per room

Jill and Jim can paint the room in 72 minutes when they work together.

Illusion [34]2 years ago
6 0
Jill will take 120 minutes to paint a room

Jim will take 180 minutes to paint a room

All together Jim and Jill will take 200 minutes to paint a room
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What are the zeros of the polynomial function y=2x^3-7x^2+2x+3?
zlopas [31]

y = 2 {x}^{3}  - 7 {x}^{2}  + 2x + 3

By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,

\dfrac{2 {x}^{3} - 7 {x}^{2}  + 2x + 3 }{x - 1}  = 2 {x}^{2}  - 5x - 3 \\  \\ 2 {x}^{2}  - 5x - 3 = (2x + 1)(x - 3)

Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.

Hope it helps you :)

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3 years ago
What is (2x+1) (3x+2)?
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
3 years ago
When finding the sum of 512 and –614, Josh used a left-to-right algorithm to compute the answer. He first added the hundred’s di
Georgia [21]

Answer:

<em>Yes, Josh's answer</em><em> is </em><em>correct</em><em> as </em><em> –102</em><em>  is the correct answer.</em>

<em>Josh have computed the sum as:</em>

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102

Step-by-step explanation:

This is how Josh used a left-to-right algorithm to compute the answer:

  1. Adding the hundred’s digits 500 + (–600) = –100
  2. Adding the ten's digits 10 + (–10) = 0
  3. Lastly, adding 2 + (–4) = –2
  4. End result –100 + 0 + (–2) = –102

<em>Yes, Josh's answer is correct. </em>

<em>How else could Josh have computed the sum?</em>

Before mentioning how Josh could have computed the sum. Here are some of the facts about sum of numbers:

  • The sum of two negative integers is a negative integer. For example,

Adding two negative integers: -3 and -5

-3 + -5 = -8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note -3 + -5 = -8 which is read as is read as Negative 3 plus negative 5 equals negative 8.

  • The sum of two positive integers is a positive integer.

Adding two positive integers: ⁺3 and ⁺5

(⁺3) + (⁺5) = ⁺8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note ⁺3 + ⁺5 = ⁺8 which is read as is read as Positive 3 plus positive 5 equals positive 8.

  • To add a positive and a negative integer

As +(+) are like signs, so they become a positive sign. Such as:

−5 + (+ 1) = −5 + 1 = -4

As

+ + ⇒ +  

+ − ⇒ −  

− + ⇒ −

− − ⇒ +

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

So, What is −614 + (+512)?

       

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

<em>So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102</em>

<em>Keywords: integer, sum, numbers, digit</em>

<em>Learn more about sum of integers from brainly.com/question/591533</em>

#learnwithBrainly

3 0
3 years ago
Please help ill give brainliest
Andreyy89

Answer:b

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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