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3 years ago

What is Distributive Property and Associative Property?

Mathematics

1 answer:

Luda [366]3 years ago

5 0

Step-by-step explanation

Consider x,y and z

Distributive property

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

Associative property

x+(y+z)=(x+y)+z

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There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats

yawa3891 [41]

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

8 0

3 years ago

PLEASE HELP EASY MATH!! NO LINKS! NEED FULL EXPLANATION!! (WILL GIVE BRAINLYIST!)

LenaWriter [7]

Answer:

Step-by-step explanation:

2x3 is 6x4 is 24+5 is 29

6+20 is 26

9x5 is 45

6+8 is 14x5 is 70

SO THIS MEANS THAT B IS YOUR ANSWER

4 0

3 years ago

One more time!

CaHeK987 [17]

Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

$\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}$

so we conclude that
$q(\frac{\sqrt{19} }{2} ) = 1/4$

therefore

$p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right) \right)$

plug $x=\sqrt{19}/2$ into p( q(x) ) to get answer

$p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left( \frac{\sqrt{19} }{2}\right)^2 }{ \left( \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow$

$\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow -\dfrac{6\sqrt{19} }{361}$

$p(1/4) = -\dfrac{6\sqrt{19} }{361}$

3 0

3 years ago

What’s the correct answer ?

Leona [35]

The answer is a) 35

The steps:
180° - 95 ° = 85 °
180 ° - (85 ° + 60 °)=35 °

7 0

3 years ago

Can someone clearly and correctly work out and show me how to answer QUESTION 19 AND 20??

Rudiy27

Is this a simultaneous equation question?

6 0

3 years ago