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Oksi-84 [34.3K]

4 years ago

10

8. Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ?

2 answers:

mixas84 [53]4 years ago

5 0

12/2+4-2*3

According to the order of operations, evaluate division and multiplication first.
6+4-6

Then add and subtract from left to right
10-6
4

Final answer: A

Aleks04 [339]4 years ago

3 0

Answer:

<u><em>A. 4. </em></u>

Step-by-step explanation:

This question it's about pemdas. p-parenthesis, e-exponents, m-multiply, d-divide, a-add, s-subtract. it can also go left to right. multiply and divide left to right. 12/2=6+4-2*3=2*3=6+4-6 and finally add and subtract left to right. 6+4-6, 6+4=10-6=4

Hope this helps!

Thanks!

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2x+1=3(y-1)<br> 6(2y-1)=5x<br> Find values of x and y

olchik [2.2K]

Answer:

x= -10/3

y= -8/9

Step-by-step explanation:

2x+1=3(y−1);6(2y−1)=5x

Rewrite equations:

2x+1=3y−3;12y−6=5x

Step: Solve2x+1=3y−3for x:

2x+1=3y−3

2x+1+−1=3y−3+−1(Add -1 to both sides)

2x=3y−4

2x2=3y−42(Divide both sides by 2)

x=32y−2

Step: Substitute32y−2forxin12y−6=5x:

12y−6=5x

12y−6=5(32y−2)

12y−6=152y−10(Simplify both sides of the equation)

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y=−89

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Answer:

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$V_{cone}=251.2\ in^3,$

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Step-by-step explanation:

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$V_{cylinder}=\pi r^2 h,$

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If cylinder has diameter of 8 inches, then its radius is 4 inches. The height of the cylinder is 5 inches. Thus, the volume of the cylinder is

$V_{cylinder}=3.14\cdot 4^2\cdot 5=251.2\ in^3.$

The volume of the cone is

$V_{cone}=\dfrac{1}{3}\pi r^2 h,$

where r is the radius of a base circle and h is the cone's height.

If cone has diameter of 8 inches, then its radius is 4 inches. The height of the cone is 15 inches. Thus, the volume of the cone is

$V_{cylinder}=\dfrac{1}{3}\cdot 3.14\cdot 4^2\cdot 15=251.2\ in^3.$

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