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wolverine [178]
4 years ago
14

Solve using mental math: 10k = 200 k = ____. the options are 200. 20. 100. 10.

Mathematics
2 answers:
34kurt4 years ago
7 0

Answer:

200-57:064=10.tik matyune on to românia

erastova [34]4 years ago
4 0

Answer:

The answer is 4000k

Step-by-step explanation:

10k = 200k =?

So 10 x 20 = 200

So 200 x 20 = 4000

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How much of a 14% iodine solution should be added to 89 ounces of a 47% iodine solution to get a 29% solution
Elza [17]
Whatever% of anything is just (whatever/100) * anything.

x = ounces of 14% iodine.

y = ounces of 29% iodine.

we know that in a 14% iodine solution, 14% is iodine and the rest is something else, we also know that "x" ounces of the solution have 14% of iodine, how much is that?  (14/100) * x, or 0.14x.

likewise, in the 89 ounces of 47% solution there is (47/100) * 89 of iodine.

and likewise as well, in "y" ounces of 29% iodine there is (29/100) * y, or 0.29y of iodine.

bearing in mind that, whatever "x" and "y" may be, x + 89 = y, and that the sum of the iodine amounts also will equate 0.29y.

\bf \begin{array}{lccclll}
&\stackrel{ounces}{amount}&\stackrel{\%~of~iodine}{quantity}&\stackrel{iodine~oz}{amount}\\
&------&------&------\\
\textit{14\% solution}&x&0.14&0.14x\\
\textit{47\% solution}&89&0.47&41.83\\
------&------&------&------\\
mixture&y&0.29&0.29y
\end{array}
\\\\\\
\begin{cases}
x+89=\boxed{y}\\
0.14x+41.83=0.29y\\
--------------\\
0.14x+41.83=0.29\left( \boxed{x+89} \right)
\end{cases}
\\\\\\
0.14x+41.83=0.29x+25.81\implies 16.02=0.15x
\\\\\\
\cfrac{16.02}{0.15}=x\implies 106.8=x
6 0
3 years ago
MATH HELP PLEASE show WORK
ZanzabumX [31]

9514 1404 393

Answer:

  • 5 ft from ceiling
  • 9 ft from side wall

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

4 0
3 years ago
Which calculator correctly shows the quotient of 6.47x10^-15/3.36x10^-29
Alex73 [517]
<h2>Answer:</h2>

\boxed{1.92559524e+14}

<h2>Step-by-step explanation:</h2>

Scientific notation is a special way we choose for writing numbers. So the numers 6.47\times 10^{-15} \ and \ 3.36\times 10^{-29} are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:

\frac{6.47}{3.36}\times 10^{[-15-(-29)]}=1.92559524\times 10^{(-15+29)} \\ \\ \therefore 1.92559524\times 10^{14} \ or \ \boxed{1.92559524e+14}

The division has been performed using the rules for operation with exponentiation.

5 0
4 years ago
Read 2 more answers
A linear function contains the following points. What are the slope and y-intercept of this function?
Scrat [10]

Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

8 0
2 years ago
A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?
VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need  we will need these two equations

Step one

Remember

area of a circle

Area=\pi *\frac{diameter^{2} }{4}\\

Also, the volume of the cylinder

Volume= area of the circle * height

Volume=\pi *\frac{diameter^{2} }{4} *height\\

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters

I hope it helps,have a great day.

3 0
3 years ago
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