Mathematics: At her birthday party, marcie s guests ate 2/3 of her birthday cake and her family ate 1/4 of the cake. How much cake was left after her party?

At her birthday party, marcie s guests ate 2/3

Ответ:

mya1318

11.02.2022

Mathematics

1/12

Step-by-step explanation:

So you start with an equation. 2/3 plus 1/4= ?.

Step 1: Find a common donominator.

Count by each number until they meat up.

3 6 9 12

4 8 12

Step 2: Multiply.

Basically, make sure that if you do something to the bottom you do the same to the top. You have

$\frac{2}{3}$ = $\frac{?}{12}$ . 3 times 4 is 12. 2 times 4 is 8. Your new fraction is $\frac{8}{12}$ .

$\frac{1}{4}$ = $\frac{?}{12}$ . 4 times 3 is 12. 1 times 3 is 3. Your new fraction is $\frac{3}{12}$ .

Step 3: Just Add!

$\frac{8}{12} + \frac{3}{12}= \frac{11}{12}$

Step 4: Answer the question! The question asks "How much cake is left. You know that a whole cake is $\frac{12}{12}$ . So, $\frac{12}{12} -\frac{11}{12} = \frac{1}{12}$

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Ответ:

Nathaliasmiles

01.04.2022

Mathematics

$x \approx 51.058\°$

or in radians

$x \approx 0.8911$

Step-by-step explanation:

We have the opposite side of angle x and hypotenuse of the right triangle.

$\text{sin}(\theta)= \frac{\text{opposite}}{\text{hypotenuse}}$

$\text{sin}(x)= \frac{14}{18}$

$\text{sin}(x)= \frac{7}{9}$

$x \approx 51.058\°$

Let's find the other side.

$18^2=14^2+b^2\\324=196+b^2\\b=\sqrt{128}$

$b=8\sqrt{2}$

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At her birthday party, marcie's guests ate 2/3 of her birthday cake and her family ate 1/4 of the cake. How much cake was left after her party?

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