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Vlad [161]
3 years ago
12

Mark can clear a lot in 1.5 hours. His partner can do the same job in 3.5 hours. How long will it take them to clear the lot wor

king together?
Mathematics
2 answers:
IrinaK [193]3 years ago
8 0

Answer:

2.5 hours.

Step-by-step explanation:

This is the answer because you will need to add both of their times together then divide it by 2. You divide it by two because there are 2 people.

IRISSAK [1]3 years ago
3 0

Answer:

1.05 hours

Step-by-step explanation:

We need to use the least common multiple of 1.5 and 3.5 which is 10.5.

Thus we find how many lots each one will clear in 10.5 hours

Mart clears 1 lot in 1.5 hours

Number of Lots                 Time

           1                 ⇒           1.5 hours

so in 10.5 hous:

Number of Lots                 Time

           1                 ⇒           1.5 hours

           x                 ⇒           10.5 hours

the x is found by rule of three: multiply the cross quantities in the table (1 and 10.5) and dividing by the remaining amount (1.5):

x = 10.5*1/1.5

x = 7 lots

so Mark clears 7 lots in 10.5 hours.

His partner clears 1 lot in 3.5 hous:

Number of Lots                 Time

           1                 ⇒           3.5 hours

so in 10.5 hous:

Number of Lots                 Time

           1                 ⇒           3.5 hours

           x                 ⇒           10.5 hours

also by rule of three the x is:

x = 10.5*1/3.5

x = 3 lots

His partner clears 3 lots in the same 10.5 hours.

Thus, together:

Number of Lots                 Time

           7+3               ⇒        10.5 hours

simplifying:

Number of Lots                 Time

          10               ⇒        10.5 hours

and what we need to know is the time to clear one lot together:

Number of Lots                 Time

          10               ⇒        10.5 hours

          1                 ⇒        x

again, to find x we multiply cross quantities (10.5 by 1) and divide by the remaining amount (10):

x = 10.5*1/10

x = 1.05 hours

It will take them 1.05 hours to clear the lot

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4 0
3 years ago
Read 2 more answers
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
William buys a book for $14.85. If he pays with a $20 bill, what will his change c be? Write an equation.
butalik [34]
<h3>Answer:  14.85 + c = 20</h3>

============================================================

Reason:

To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)

The change c is

c = 20-14.85

To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20

In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.

----------------

Extra info (optional section)

If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00

Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.

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