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3 years ago

3 equivalent of expressions using distributive 300x + 100y

Mathematics

2 answers:

Musya8 [376]3 years ago

6 0

Well you could do 5(60x+20y), 100(3x+y), and 2(150x+50y)

yarga [219]3 years ago

5 0

The distributive property states that a(b+c)= ab+ac

So,

10(30x+10y)= 300x+100y

1(300x+100y)= 300x+100y

2(150x+50y)= 300x+100y

I hope this helps!
~cupcake

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In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

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Find the 37th term of 352,345,338

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Answer:

$a_{37}=100$

Step-by-step explanation:

Given that,

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The nth term of an AP is given by :

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