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Bezzdna [24]
3 years ago
8

12 decreased by twice a number is the same as 8 times the sum of the number and four. What is the number?

Mathematics
1 answer:
inysia [295]3 years ago
7 0
The answer you're looking for is -2

12 - 2×(n)= 8×4+(n)

12 - 2×(-2)=16

8×4+(-2)=16
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A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
lys-0071 [83]

Answer:   
 let x=rate of the rowing team in still water 
 x+4=rate of the rowing team with current 
 x-4=rate of the rowing team against current   
 travel time=distance/rate 
 .. 
 90%2F%28x%2B4%29=10%2F%28x-4%29 
 90x-360=10x+40 
 80x=400 
 x=5  rate of the rowing team in still water=5 mph

4 0
3 years ago
If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?
melamori03 [73]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}

\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}
6 0
4 years ago
Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)
TiliK225 [7]

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

3 0
3 years ago
Is 8 x 2/8 less than 8 or greater than 8
Orlov [11]
It is less because 8(2/8) would equal 2
3 0
3 years ago
Read 2 more answers
Convert a recipe that serves 6 and calls for 3/4 cups of sugar to one that serves 20.
djyliett [7]

Answer:

5/2cups

Step-by-step explanation:

If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;

6recipe = 3/4cups

20recipe = x

Cross multiplying we have;

6x = 20×3/4

6x = 15

x = 15/6

x = 5/2

This means a recipe that serves 20 will call for 5/2cups

3 0
3 years ago
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