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Bezzdna [24]
3 years ago
6

How do you factor out the coefficient of the variable in the equation 2.6x+23.4? Thank you!

Mathematics
1 answer:
artcher [175]3 years ago
6 0
Set the equation = to 0 then subtract 23.4 from both sides

2.6x = -23.4

Then divide both sides by 2.6 giving you x = -9
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Cesar invests $8200 in two different accounts. The first account paid 13 %, the second account paid 2 % in interest. At the end
Ugo [173]

a = amount invested at 13%

b = amount invested at 2%

we know the total amount invested is 8200, so if the first amount is say "a", the second amount must be the slack left from subtracting "a", namely b = 8200 - a.

we also know 13% of "a" plus 2% of "b" yielded an interest of $461 in a year.

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{13\% of a}}{\left( \cfrac{13}{100}\right)a\implies 0.13a}~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)b\implies 0.02b} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{sum of the percentages}}{0.13a+0.02b}~~=~~\stackrel{\textit{yield for 1 year}}{461}\implies 0.13a+0.02\left(\boxed{8200-a} \right) = 461 \\\\\\ 0.13a+164-0.02a=461\implies 0.11a+164=461\implies 0.11a=297 \\\\\\ a = \cfrac{297}{0.11}\implies \blacktriangleright a = 2700 \blacktriangleleft ~\hfill b = 8200-2700\implies \blacktriangleright b = 5500 \blacktriangleleft

3 0
4 years ago
Steve ran 1 lap in 7 minutes. At this rate, how far would he run in 42 minutes?
VARVARA [1.3K]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Answer:

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Given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.

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X     I girl         I boy, II  girl             I,II boys, III girl         I,II,III boys

Pr.    0.5               0.25                           0.125                  0.125

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=1(0.5)+2(0.25)+3(0.125)+3(0.125)\\=1+0.75\\=1.750

c)Expected number of boys

= 0*0.5+1*0.25+2*0.125+3*0.125\\=0.625

6 0
3 years ago
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Answer:

                       D?

Step-by-step explanation:

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Answer:

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3 years ago
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