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3 years ago

You randomly choose a marble from a bag containing 2 purple, 5 pink, and 2 Blue.

Mathematics

2 answers:

Sauron [17]3 years ago

8 0

Answer:

9 total

2/9 - 5/9 -2/9 so 3 i guess...

Step-by-step explanation:

Alik [6]3 years ago

8 0

Answer:

3 possible outcomes

Step-by-step explanation:

The outcomes are choosing a purple, pink, or blue marble

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

$\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\$

$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

$\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft$

3 0

3 years ago

Which triangle is similar to triangle T

Alex17521 [72]

Answer:

2nd one from the left.

Step-by-step explanation:

it has the same angle measures.

3 0

3 years ago

Standard rate of pay 40 hours. Gets 175% for overtime. One week Erik works regular 40 hours and has 16 hours of overtime. He mak

devlian [24]

Standard rate of pay 40 hours. Gets 175% for overtime. One week Erik works regular 40 hours and has 16 hours of overtime. He makes $680 that week. Which equation would solve for the standard rate of pay?

7 0

3 years ago

Read 2 more answers

Someone please help me quick I've been stuck on this problem for 2 hours and my assignment is due at 10:30pm.

astraxan [27]

Answer:

419.5 ft of BX cable

step-by-step explanation:

12x8.5ft= 102 ft

7x18.5 ft= 129.5ft

24x 1.75ft= 42ft

12x 6.5ft=78 ft

2x 34.25= 68.5ft

Add all the answers and you get 419.5 ft

8 0

3 years ago

Given that 310 = 59 049 , what is 3-10 expressed as an exact value?

Advocard [28]

$x^{-n}=\frac{1}{x^n} \\ \\
3^{10}=59049 \\
3^{-10}=\frac{1}{3^{10}}=\frac{1}{59049} \\ \\
\boxed{3^{-10}=\frac{1}{59049}}$

4 0

3 years ago