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3 years ago

29 thousandths as a fraction

Mathematics

2 answers:

makvit [3.9K]3 years ago

7 0

29/1000 the thousand is the denominator and 29 is the numerator

posledela3 years ago

4 0

29/1,000 the 29 is the numerator and the denominator is 1,000

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What is the solution to this equation pls pls pls<br><br> x(at the power of 2) = 6 + 9x

kati45 [8]

Answer:

The solution to the equation are x = 5.089 and x = -0.589

Step-by-step explanation:

Given:

x(at the power of 2) = 6 + 9x

To Find:

The solution of the equation = ?

Solution:

The given equation can be written as

=> $2x^2 = 6+9x$

=> $2x^2-6 -9x=0$

=> $2x^2-9x-6=0$

Using the quadratic formula,

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

where

a= 2

b = -9

c = -6

Substituting these values,

$x = \frac{-(-9)\pm \sqrt{(-9)^2 -4(2)(-6)}}{2(2)}$

$x = \frac{-(-9)\pm \sqrt{(81) -4(-12)}}{2(2)}$

$x = \frac{-(-9)\pm \sqrt{81+48}}{4}$

$x = \frac{-(-9)\pm \sqrt{129}}{4}$

$x = \frac{-(-9)\pm 11.357}{4}$

$x = \frac{9 \pm 11.357}{4}$

$x = \frac{9 + 11.357}{4}$ $x = \frac{9 - 11.357}{4}$

$x = \frac{20.357}{4}$ $x = \frac{-2.357}{4}$

x =5.089 x = -0.589

6 0

3 years ago

A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%

sergeinik [125]

Now, let's say, we add "x" lbs of the 60% gold alloy, so.. how much gold is in it? well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it? well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}$

$\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}$

how much of the 40% alloy? well, y = 12.4 - x.

5 0

3 years ago

Write the contrapositive of the conditional statement. If it is January, then there are 31 days this month.

kifflom [539]

If there aren't 31 days this month, then it isn't January.

Hope this helps!

5 0

3 years ago

Read 2 more answers

When two or more plane shapes from another shape the shape formed is called

Ira Lisetskai [31]

Answer:

solid shapes