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Masja [62]
3 years ago
14

Anastasia’s mom baked a giant sugar cookie for her birthday. On her birthday, ⅝ of the birthday cookie was eaten. The next day h

er brother ate ¼ of what remained.
How much of the cookie was left for Stephanie to eat after lunch?
Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

9/32 of the cookie was left for Stephanie to eat after lunch

Step-by-step explanation:

Anastasia’s mom baked a giant sugar cookie for her birthday.

On her birthday, ⅝ of the birthday cookie was eaten.

So, remaining cake =1 - \frac{5}{8}=\frac{3}{8}

The next day her brother ate ¼ of what remained.

Amount of cake eaten by her brother = \frac{1}{4}(\frac{3}{8})=\frac{3}{32}

So, remaining cake = \frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}

Hence 9/32 of the cookie was left for Stephanie to eat after lunch

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Answer:

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Step-by-step explanation:

Hi there!

We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line

The formula for the slope can be written as \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the points to avoid confusion

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Now substitute these values into the formula

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Subtract

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Simplify

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Let's plug this value into the formula for the equation of the line in slope-intercept form.

We substitute 5/6 for m in y=mx+b:
y=\frac{5}{6}x+b

Now we need to find b

As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.

One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0

The value of b is the value of y in this point, which is -5 in this case.

Substitute -5 as b in the formula.

y=\frac{5}{6} x -5

Hope this helps!

See more on this subject here (n.b. the answer uses a different way of solving): brainly.com/question/20891204

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