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4 years ago

8

MARISSA IS 5 TIMES HER DAAUGHTERS AGE PLUS 4 YEARS,IF HER DAUGHTERS AGE IS REPERSENTED AS D,WHICH EXPRESSION REPERESENTS MARISSA

S AGE IN YEARS

1 answer:

solong [7]4 years ago

3 0

The expression would be 5D + 4

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A number added to its reciprocal is 2 9/10. Find the number and show your work.

Svetlanka [38]

Answer:

$\displaystyle x=\frac{5}{2}, x=\frac{2}{5}$

Step-by-step explanation:

<u>Quadratic Equations </u>

The quadratic equation has the following general form

$ax^2+bx+c=0$

It can be solved by several methods, including the well-known quadratic formula

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

The question requires us to find a number that added with its reciprocal results 2 9/10. If x is the required number

$\displaystyle x+\frac{1}{x}=2\ \frac{9}{10}=\frac{29}{10}$

Operating

$\displaystyle \frac{x^2+1}{x}=\frac{29}{10}$

Rearranging

$10(x^2+1)=29x$

$10x^2-29x+10=0$

Comparing with the general quadratic equation, we have

$a=10,\ b=-29,\ c=10$

Using the formula

$\displaystyle x=\frac{29\pm \sqrt{(-29)^2-4(10)(10)}}{2(10)}$

$\displaystyle x=\frac{29\pm \sqrt{441}}{20}=\frac{29\pm 21}{20}$

It gives us two possible solutions

$\displaystyle \boxed{x=\frac{5}{2}, x=\frac{2}{5}}$

Both are valid solutions since

$\displaystyle \frac{5}{2}+\frac{2}{5}=\frac{29}{10}$

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3 years ago

a box of energy bars contains 8 bars. the total weight of the bars is 10 2/3 ounces. if each bar has the same weight, what is th

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The answer is 1 1/3 ounces. Divide 10 2/3 by 8 or multiply 32/3 by 1/8 which = 4/3 or 1 1/3 ounces.

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3 years ago

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Answer:

$156.86

Step-by-step explanation:

Total = bill + tip

136.40 + 0.15*136.40 =
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3 years ago

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Answer:

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Step-by-step explanation:

do one half of 30 which is 15 (basically 0.5 multiplied by 30 but easier)

you plug in the 15

do 14-15

since there are not enough positive numbers to solve it becomes -1

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A or b I think not sure

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