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creativ13 [48]
2 years ago
8

Jill and Ben have the same pens Jill has 3 full boxes of pen and 2 loose pens Ben has 2 full boxes of pen and 14 loose pens how

many pens are there in a full box
Mathematics
1 answer:
defon2 years ago
8 0
Let x be the number of pens in a box.

Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14

Jill and Ben have the same pens. 
Jill        = Ben
3x+2    = 2x + 14
3x - 2x = 14 - 2
      1x  = 12
         x = 12

To check:
Jill            =       Ben
3x + 2      =       2(x) + 14
3(12) + 2  =       2(12) + 14
36 + 2      =       24 + 14
           38 = 38

There are 12 pens or a dozen of pens in a full box.
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
Ronch [10]

Answer:

The system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

with solutions

p =9

a = 7

Step-by-step explanation:

Let us call a the number of associates and p the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

600a+1200p = 15,000.

Since the law firm assigned at total of 16 lawyers, we have

a+p = 16.

Thus, the system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

And the solution to this system is found by solving for a in the second equation and substituting its value in the first equation:

a = 16-p

600(16-p)+1200p = 15,000

9600-600p+1200p=15,000

9600+600p=15,000

600p=5400

\boxed{ p=9}

We put this value into a+p = 16 and solve for a:

a+9=16

\boxed{a = 7}

4 0
3 years ago
How many solutions does the system have?<br><br> y= -5x - 1<br> y = -5.2 + 7
mote1985 [20]

Answer:  y= -5x - 1

y = -5.2 + 7

Step-by-step explanation: y= -5x - 1 has 3.    y = -5.2 + 7  has 1

4 0
3 years ago
What is -4/7(-13/2) yeah
Zolol [24]

The answer is 26/7 it may seem to small to be the answer but just simplified it

4 0
3 years ago
The total surface area of a cube is 294cm^2.<br><br>Work out the volume of the cube.​
djverab [1.8K]

Answer:

343 cm ^3

Step-by-step explanation:

A cube has 6 squares of equal sizes. 294/6 = 49

The area of one square is 49

Since the area is the length squared, the square root of 49 is 7.

Volume of a cube is area times height. 49 x 7 = 343 cm^3

4 0
2 years ago
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Mark pulled weeds from the garden for 10 more minutes than Ted.
Gwar [14]
B because 10p means 10 × p
5 0
3 years ago
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