1.)3(5-8)+(-12•2) 2.)15 / (2+3)-(6-8) ( /= division)

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

Hunter-Best [27]

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

4 0

3 years ago

Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost

zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots and 3 pounds of potatoes will cost her

$ $(2\times x + 3\times y)$

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ $(4\times x + 4\times y)$

According to the question,

$(2\times x + 3\times y) = 8$ -----(1)

$(4\times x + 4\times y) = 13$ -----(2)

multiplying (1) by 2 we get,

$(4\times x + 6\times y) = 16$ -----(3)

Deducting (2) from (3) we get,

$2\times y = 3$

⇒ $y = \frac{3}{2} = 1.5$ ------------------(4)

Putting value of y in (1) we get,

$(2\times x = 8 - 3\times 1.5) = 3.5$

⇒ $x =\frac{3.5}{2} = 1.75$ ------------(5)

8 0

3 years ago

Find the value of each variable in the parallelogram

Anarel [89]

Answer:

x = 9

y = 15

Step-by-step explanation:

x = 9

y = 15

I'm not sure how to explain this, but one side is equal to its opposite side in a parallelogram.

Hope this helps :)

5 0

3 years ago

Calculate the value of 18(-3)

Anon25 [30]

Answer:

-54

Step-by-step explanation:

4 0

3 years ago

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each

vodomira [7]

Well if each portion is 3 pounds and there is 4 portions all together it would be 12 pounds. you already know know that the meat is 2 pounds so you subtract 2 from the whole and you are left with 10. The chopped vegetables are 10 pounds in total.
The answer is
4x3=12-2=10

6 0

3 years ago