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IgorLugansk [536]
3 years ago
11

A baker used 2 5/6 pounds of butter to make cookies. On a particular day, the baker used 8 1/2 pounds of butter to make cookies.

How many batches of cookies did the baker make that day?
Mathematics
1 answer:
ddd [48]3 years ago
3 0
8 1/2 / 2 5/6 

<span>17/2 / 17/6 </span>

<span>1/2 / 1/6 </span>

<span>3 </span>
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Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b
Nata [24]

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

5 0
3 years ago
Solve the equation.<br> 7<br> 12 z = 21
scoundrel [369]

Step-by-step explanation:

z= 21/12

divide bothside by 12

shekinan

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3 years ago
David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much
ankoles [38]

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0
3 years ago
What is the solution set of this problem? 9x 4=5 5x?
trasher [3.6K]
Is this 9x+4=5+5x or is it 9x•4=5•5x?
5 0
3 years ago
Mishka is on a long road trip, and she averages 75 mph for 2 hours while she's driving on the highway. While she's driving on si
slega [8]

If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

8 0
3 years ago
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