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3 years ago

Simplify the following expression completely using distribution and combining like terms

Mathematics

1 answer:

Art [367]3 years ago

5 0

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Simplify ⇨ 9 + 5 (4x - 4)

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: 9 + 5 ( 4 x - 4 )$

Use the distributive property to multiply 5 by 4x-4.

$\sf \: 9+20x-20$

Subtract 20 from 9 to get -11.

$\sf \: -11+20x$

Putting it in standard form...(positive number in the 1st)

$\boxed{\boxed{\bf \: 20x-11}}$

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

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4 years ago

Risky Retzlaff is cutting it close! She has 20 minutes to get to her destination and it is 25 miles away. She drives 3/5 miles i

Anna35 [415]

Answer:y =

40 mi

Step-by-step explanation:

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 mi from home after 85 min

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3 years ago

Find the difference.

densk [106]

Answer:

B. 13m+8

Step-by-step explanation:

(20m+3)-(7m-5)

= 20m+3-7m+5

= 13m+8

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Sarianna is saving up to but a pet lizard. The lizard costs $12.35, the food costs $8.40, and the cage costs $26. If she has $20

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Answer:

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Step-by-step explanation:

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3 years ago

I need help again, please.

vekshin1

I hope this helps you...

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