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3 years ago

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Mathematics

1 answer:

Anastaziya [24]3 years ago

8 0

Answer: $1200 m$

$75\ m/min$

Step-by-step explanation:

Given

Alex Jogged 3 rounds of 400 m track

It took 16 min to Jog 3 rounds

(a) Total distance Alex had Jogged

$\Rightarrow 3\times 400=1200\ m$

(b) Average speed is the total distance by the total time

$\Rightarrow \dfrac{1200}{16}=75\ m/min$

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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.

Sav [38]

Answer:

$-9(\frac{2}{3}x) + 9(1)\\ \\-6x + 9$

Explanation:

Before we begin, remember the following rules:

1- Distribution property:

$a(b+c) = ab+ac$

2- Simplification of fractions:

$\frac{xy}{yz}=\frac{x}{z}$

3- Signs in multiplication:

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

Now, for the given problem, we have:

$9 (\frac{2}{3}x + 1)$

Starting with the distributive property:

$-9 (\frac{2}{3}x +1) = -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)$

..................>This corresponds to option 1

Now, we simplify the output from the above step:

$-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9$

................> This corresponds to option 5

Hope this helps :)

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I need some help on my math test!!, I get to retake it but I need help with some of it:

Greeley [361]

Answer:

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