A breakfast cereal comes in two different sized packages. The 8-ounce box costs $2.88 while the 12-ounce box costs $3.60. Which is the better buy? How much does the better buy cost per ounce?

Answer:

y = 1 [ y intercept (0,1) ]

x = -5/11 [ x intercept : (-5/11,0) ]

Explanation:

First split this compound equation into two seperate ones:

y = 11x + 6y = 11x + 6 →

{ y = 11x + 6y → -5y = 11x → [ y = -11/5x ]

[ y = 11x + 6 ] }

________

Then find the x point of intersection by substitution.

y = -11/5x → y = 11x + 6

-11/5x = 11x + 6

-11/5x - 11x = 6

-66x/5 = 6

-66x = 30

-11x = 5

x = 5/-11

x = -5/11

_______

Then find the y point of interesection by substituting the x solution in one of the equations.

x = -5/11 → y = -11/5x

y = -11/5(-5/11)

y = 55/55

y = 1

The x-intercept is x = - 6/11.

The y-intercept is y = 6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

y = 11x + 6

Now,

The x-intercept means y = 0.

So,

y = 11x + 6

0 = 11x + 6

11x = -6

x  = - 6/11

The y-intercept means x = 0.

y = 11x + 6

y = 0 + 6

y = 6

Thus,

The x-intercept is x = - 6/11.

The y-intercept is y = 6.

Learn more about equations here:

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Answer:

68.11

Step-by-step explanation:

i think

Answer:

3/4

Step-by-step explanation:

Answer:

7.79

Step-by-step explanation:

Answer:

20.655

Step-by-step explanation:

might have to round it

Answer:

$4.25

Step-by-step explanation:

(1.5 + 2p) x 1.15 = 11.5

1.725 + 2.3p=11.5

2.3p=9.775

p=4.25

chek

4.25+4.25+1.5=10

10×1.15=11.5

Answer:

The nearest ten million is 4,480,000,000.

Step-by-step explanation:

hope this helps

Answer:

4,480,000,000

Step-by-step explanation:

Answer is above me

Answer:

Final Balance = 106.90$

Step-by-step explanation:

Using the simple interest formula I = prt.

The current balance after accumulated interest is B = I + p.

Given a principle of $100, time of 3 years, and interest rate of 2.3%.

I = (100$)(3y)(2.3%) = (100)(3)(2.3%) = (300)(2.3%) = (300)(0.023) = 6.90$

B (final balance) = 6.90$ + 100$ = 106.90$

Answer:

c

Step-by-step explanation:

You have to use pemdas and you should get c

Answer:

5(x-7)+42=3x+7+2x

5x-35+42=3x+7+2x

5x+7=5x+7

lol its equal, forgot the term for that tho..

Step-by-step explanation:

Answer:

5X + 7 = 5X+7

Step-by-step explanation:

5(X - 7) + 42 = 3X + 7 + 2X

5X - 35 + 42 = 5X + 7

5X + 7 = 5X + 7

Answer:

-44

Step-by-step explanation:

You multiply 11 times 2 to the second power then multiply negative 1

Answer:

2(x - 3)(x - 4)

Step-by-step explanation:

8x+15=dx-20

8x+15+20=dx

8x+35=dx

d=​8x+35 /x

12(7+2y)=4y-(3-ty)

12(7+2y)=4y−3+ty

12(7+2y)−4y=−3+ty

12(7+2y)−4y=ty−3

12(7+2y)−4y+3=ty

t= ​12(7+2y)−4y+3 /​y

​

15+x(3t-4)=8(-2t+11) SOLVING FOR X

15+x(3t-4)=8(-2t+11)

x= ​8(−2t+11)−15 /​3t−4

x= −16t+73 /​3t−4

Hope this helps!God bless you and have a wonderful day!

Answer:

Step-by-step explanation:

Give the other guy brainiest

Answer:

[tex]p = \frac{mn-rs - x}{2} [/tex]

Step-by-step explanation:

[tex]if \: mn-rs=x +2p \\ x +2p = mn-rs \\ 2p = mn-rs - x \\ p = \frac{mn-rs - x}{2} [/tex]

Answer:

18 : 9 is the same thing as 18/9.

So if we want 1 : n  = 1/n

(18 / 18) / (9 / 18)

=> 1 / 0.5

=> 1 : 0.5

Therefore, n = 0.5 is the solution of the equation.

Thanks!!

Answer:

n = 0.5

Step-by-step explanation:

To answer this question, we must first figure out the ratio 18:9.

What is 18 compared to 9?

If you said that 18 is double the amount of 9, or that 9 is half of 18, you are correct.

Using this logic, we then need to make the variable 'n' in 1:n half of 1 in decimal form.

So, what is half of 1 in decimal form?

If you said 0.5 OR 0.50, you are correct! And that is your answer !

Hope this helps :)

Answer:

-1.88

Step-by-step explanation

Put both terms in decimal form. -2.63 is already in decimal form, so, you only have to put 3 1/4 in decimal form.

So, -2.63+0.75=-1.88

Answer:

BC

Step-by-step explanation:

Answer:

w = 14 meters

l = 20 meters

Step-by-step explanation:

2w + 2(w+6) = 68

2w + 2w + 12 = 68

4w + 12 = 68

4w = 56

w = 14

l = w + 6

l = 20

Answer:

x= -21/4

Step-by-step explanation:

Answer:

I think the answer is B cuz it goes straight to like b,c,d

Answer:

b

Step-by-step explanation:

Answer:

It's D.

Step-by-step explanation:

Answer:

XYN is a right angle

explanation:

Answer:

Step-by-step explanation:

Stephen : Gavin : Jim

3 : 1 : 2

We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).

If Stephen gets 24 sweets, this means

3 parts = 24

So to find 1 part, divide 24 by 3.

1 part = 8 sweets

Now we can find the total by multiplying this by 6.

6 parts = 8 x 6 = 48 sweets.

Answer:

the 48th customer would be the one to recieve a free drink and dessert because its the first multiple of 8 and 12.

Step-by-step explanation:

Answer:

the person above me is correct

Step-by-step explanation:

Answer: y = (7/4)x - 3

Step-by-step explanation:

m = (-10 - (-3))/(-4 - 0) = -7/(-4) = 7/4

y-intercept = (0, -3)

y = (7/4)x - 3

Answer: 65 games

Step-by-step explanation:

total = 13 + 5 = 18

90 is 5x of 18

wins = 13*5 = 65 wins

Answer: 7

Step-by-step explanation:

Answer:

3/2 cups of flour

1/4 cups of butter

Step-by-step explanation:

Cups of flour = 6

Cups of sugar = 2

Cup of butter = 1

Marcos only has ½ cup of sugar, so he's going to make a smaller cake.

Cups of sugar for big cake = 2

Cups of sugar for small cake = 1/2

Ratio of cups of sugar for big cake to small cake is

= 2 : 1/2

= 2 ÷ 1/2

= 2 × 2/1

= 4

This means to make smaller cake, all recipes should be divided by 4

Flour for small cake = flour for big cake / 4

= 6 / 4

= 3/2 cups of flour

= 1.33

Butter for small cake = Butter for big cake / 4

= 1 / 4 cups of butter

= 0.25