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bekas [8.4K]
4 years ago
6

A marathon is a 26.2 miles race.You run three marathons in one year.How many miles do you run?

Mathematics
1 answer:
alexgriva [62]4 years ago
7 0

Answer:

78.6

Step-by-step explanation:


26.2 * 3 is 78.6


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(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that 3y + 5y^3 is the same as 8y^4. Which statement shows that it is NOT the same?

Answer:

(x + y) - (x - y) =2y

3y + 5y^3 \ne 8y^4

Step-by-step explanation:

Solving (a):

Given

(x + y) - (x - y)

Required

Simplify

(x + y) - (x - y)

Open brackets

(x + y) - (x - y) = x + y - x + y

Collect Like Terms

(x + y) - (x - y) = x - x+ y  + y

(x + y) - (x - y) = y  + y

(x + y) - (x - y) =2y

Solving (b):

Given

3y + 5y^3 and 8y^4

Required

Which expression shows they are not the same

The expression that shows this is:

3y + 5y^3 \ne 8y^4

Take for instance; y=2

Substitute 2 for y in 3y + 5y^3 \ne 8y^4

3*2 + 5*2^3 \ne 8*2^4

Evaluate all exponents

9 + 5*8 \ne 8*16

9 + 40 \ne 128

49 \ne 128

The above expression supports 3y + 5y^3 \ne 8y^4

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