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 working together?

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

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

answer: 323 is how many she has ☃☃⛄❄

step-by-step explanation: