1. maritza is baking cookies to bring to school and share with her friends on her birthday. the recipr requires 3 eggs for every 2 cups of sugar. to have enough cookies for all of her friends, maritza determined she would need 12 eggs. if her mom bought 6 cups of sugar, does maritza have enough sugar to make the cookies? why or why not? 2. hamza bought 8 gallons of brown paint to paint his kitchen and dining room. unfortunately, when hamza started painting, he thought the paint was too dark his house, so he wanted make it lighter. the store manager would not let hamza return the paint but did inform him that if he used 1/4 of a gallon of white paint mixed with 2 gallons of brown paint, he would get the shade of brown he desired. if hamza decided to take this approach, how many gallons of white paint would hamza have to buy to lighten 8 gallons of brown paint? (answer with ratios)

Solution 1:

The recipe for cookies requires 3 eggs for every 2 cups of sugar.

Applying unitary method here,

So for 1 egg sugar required will be 2/3 cups.

Now we have to find number of cups of sugar required for 12 eggs.

Sugar required for 12 eggs = (2/3) * 12 = 8 cups

But Maritza's mom bought only 6 cups of sugar.

So her mom is short of 2 cups of sugar.

Solution 2:

Hamza bought 8 gallons of brown paint.

If 1/4 of a gallon of white paint is mixed with 2 gallons of brown paint, he would get the shade of brown he desired.

Now we have to find quantity of white paint for 8 gallons of brown paint.

For 2 gallons of brown paint = 1/4 gallons of white paint required

For 1 gallon of brown paint = 1/8 gallons of white paint required

For 8 gallons of brown paint = (1/8)*8 gallons of white paint required

Answer : For 8 gallons of brown paint 1 gallon of white paint is required.

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step-by-step explanation:

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the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

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