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3 years ago

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A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of selecting thre

e green chips with replacement.
Group of answer choices
a.) 21/575
b.) 729/15625
c.) 64/1725
d.) 8/25

1 answer:

kotykmax [81]3 years ago

7 0

Answer:

a.) 21/575

Step-by-step explanation:

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The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

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3 years ago

Samantha has three times as many basketball cards as Mark Mark has 12 caught baseball cards right in equation that shows how man

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12x3=36 or as a algebraic equation 12xn=36

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Answer:

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A, D, and E are true

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45 minutes is 3/4 of an hour, and is the mark right between 1/2 and 1. There is one x above this mark, so that means Thaddeus practiced for 45 minutes one time, so B is false

Thadeus practiced piano for 30 minutes two times, so C is false because he didn’t mostly practice for thirty minutes.

D is correct because there are 2 Xs above the 0, which means two times he practiced for zero hours, which means he didn’t practice at all.

E is correct because 15 minutes is 1/4 of an hour, so it is the mark between 0 and 1/2. We see there are three x’s there, so that means he practiced for 15 minutes 3 times.

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