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Elden [556K]
3 years ago
13

Marcos is baking a cake. He has a recipe for a large cake that calls for 6 cups of flour, 2 cups of sugar, and 1 cup of butter.

Marcos only has ½ cup of sugar, so he's going to make a smaller cake. How much flour and butter should he use in his recipe?
Mathematics
1 answer:
Rudiy273 years ago
7 0

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

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What is the slope of a line perpendicular to the line whose equation is 3x + y = -9.
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Considering the definition of perpendicular line, the slope of a line perpendicular to the line whose equation is 3x+y= -9 is  \frac{1}{3}.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles.

Two nonvertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other. In other words, if you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 3x+y=-9. Expressed in the form y = mx + b, you get: y= -9 - 3x or, what is the same, y= -3x -9

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -3. So:

(-3)× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-3)

<u><em>slope perpendicular line=  </em></u>\frac{1}{3}

Finally, the slope of a line perpendicular to the line whose equation is 3x+y= -9 is  \frac{1}{3}.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

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