Answer:
if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
Explanation:
Let C represents the value of cheddar cheese per pound
Let S represents the value of swiss cheese per pound.
Equation when she only buys cheddar cheese will be;
N x C = 30,
Here N is the number of pounds of cheddar cheese
Equation when she only buys swiss cheese will be;
M x S = 30,
Here M is the number of pounds of swiss cheese
Now if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
Answer: 5¹/₄ cups of dog food
Step-by-step explanation:
There are seven days in a week.
If she feeds the dog 3/4 every day, the amount she feeds Rusty every week is:
= 3/4 * 7
= 21/4
= 5¹/₄ cups of dog food
The final number of outcomes would end up being 10 possible outcomes because you would do five and multiply it by two. And there would be a possibility of landing on any of ten outcomes. Hope I helped reassure you of your answer :)
10/12 = 5/6 is your answer