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3 years ago

Here are the ingredients needed to make 8 pancakes

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer: To make 4 pancakes, Simon will need 125 ml milk, 70 grams flour, and 2.5 grams of butter.

Step-by-step explanation:

If that is the recipe to make 8 pancakes, and Simon has 4 pancakes, then Simon needs to cut the recipe in half. So we can multiply each ingredient by 1/2.

250 x 1/2 = 125.

140 x 1/2 = 70.

5 x 1/2 = 2.5

In conclusion, to make 4 pancakes, Simon will need 125 ml milk, 70 grams of flour, and 2.5 grams of butter.

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3 years ago

Consider the line y = 7x-9.

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y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

Solution:

Given that line is:

y = 7x - 9

The equation of line in slope intercept form is given as:

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

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<h3>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

$7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}$

Now find the equation of line:

$\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}$

$-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}$

$\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}$

Thus the equation of line perpendicular to given line is found

<h3>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</h3>

Slopes of parallel lines are equal

Therefore, m = 7

Substitute m = 7 and (x, y) = (6, -2) in eqn 1

-2 = 7(6) + b

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Substitute m = 7 and b = -44 in eqn 1

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