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3 years ago

Simplify using PEMDAS(3X + 2x)(3+4)

Mathematics

1 answer:

katrin [286]3 years ago

8 0

Answer:

$5x*7$

Step-by-step explanation:

We know that PEMDAS is a shortened acronym for the order in which we do operations in an expression, which is as following in the correct order:

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Now your question asks you to solve the expression using PEMDAS, however that is what we would do regardless as <em>in algebra </em>PEMDAS is always in effect.

Lets break it down! $(3x+2x)*(3+4)$

Simple enough! We just do the respective operations inside the parenthesis first (as per pemdas), which after completion yields us

$5x*7$

Since x is undefined and the expression is completely simplified, there is nothing more we can do.

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The sum of the first 5 terms of an AP is 30 and the sum of the four term from T6 to T9 (inclusive) is 69. Find the AP

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Answer: The AP = 1, ⁷/₂, 6, ¹⁷/₂, 11 ..............

Step-by-step explanation:

From the first statement,

S₅ = ⁵/₂(2a + ( n - 1 )d } = 30

5(2a + 4d )d = 60

10a + 20d = 60

reduce to lowest term to easy calculation by dividing through by 10

a + 2d = 6 -----------------------------------1

second statement

sum of the next 4 terms inclusive

T₉ = ⁹/₂(2a + 8d ) = 69

9(2a + 8d ) = 30 + 69

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divide through by 18 to reduce to lowest time

a + 4d = 11 ------------------------------------------2

Now solve the two equation simultaneously to find a and d

a + 2d = 6

a + 4d = 11

-2d = -5

d = ⁵/₂.

Now substitute for d to get a

a + 2(⁵/₂) = 6

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Therefore the AP = 1 , ⁷/₂ , 6 , ¹⁷/₂ , 11 , ..............

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3 years ago

Simplify using PEMDAS(3X + 2x)(3+4)​

Simplify using PEMDAS(3X + 2x)(3+4)