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Andrej [43]
3 years ago
7

Evaluate the expression. ​38+16⋅12÷2−(30⋅2)

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Hey there! I'm happy to help!

With order of operations, you first evaluate the parentheses.

30×2=60

so...

38+16×12÷2-60

Now we just finish this on our calculator, giving us 74.

Have a wonderful day! :D

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Please help me! I'm stuck and really confused, thank you so much!
Kryger [21]

Answer:

(a) 5 * (2x - 1) = 10x - 5

(b) 6 * x = x + 2x + 3x

(c) \frac{1}{2}(x - 6) = \frac{1}{2}x - 3

(d) y(3x + 4z) = 3xy + 4yz

(e) z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

Step-by-step explanation:

Solving (a):

Given

10x - 5

Required

Express as a product

Express 10x as 5 * 2x

10x - 5 = 5 * 2x - 5

Apply distributive property

10x - 5 = 5(2x - 1)

10x - 5 = 5 * (2x - 1)

So:

5 * (2x - 1) = 10x - 5

Solving (b):

Given

x + 2x + 3x

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

x + 2x + 3x = x + 2*x + 3*x

Apply distributive property

x + 2x + 3x = x(1 + 2 + 3)

x + 2x + 3x = x(6)

x + 2x + 3x = 6*x

So:

6 * x = x + 2x + 3x

Solving (c):

Given

\frac{1}{2}(x - 6)

Required

Express as a sum/difference

Apply distributive property

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}

\frac{1}{2}(x - 6) = \frac{1}{2}x - 3

Solving (d):

Given

y(3x + 4z)

Required

Express as a sum/difference

Apply distributive property

y(3x + 4z) = 3x * y + 4z * y

y(3x + 4z) = 3xy + 4yz

Solving (e):

Given

2xyz - 3yz + 4xz

Required

Express as a product

Factorize

2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z

Apply distributive property

2xyz - 3yz + 4xz = z(2xy - 3y + 4x)

So:

z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

8 0
3 years ago
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