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Nastasia [14]
4 years ago
5

Cindy is using division to write a fraction equivalent to 30/100. She tries to divide the numerator and denominator by 3. She go

t stuck.
Mathematics
1 answer:
Volgvan4 years ago
4 0

Answer:

1/10

Step-by-step explanation:

they are divisable by 3

30/3=1

100/3=10


hence your answer 1/10


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How do you solve the question 10^x+2 = 20^x+1. The carrot means to the power of and everything that comes after it. When the equ
vfiekz [6]

Answer:

x=0.3

Step-by-step explanation:

we can organize the equation in a convenient form and to simplify

10^{x+2}=20^{x+1}\\10^{x}*10^{2}=20^{x}*20\\100*10^{x}=20*2^{x}*10^{x}\\100=20*2^{x}\\50=2^{x}

now we can apply log in base 2 to get x

log_{2}(50)=log_{2}(2^{x})\\\\\frac{log(50)}{log(2)}=x\\\\x=0.30

where we have used that

log_{a}(b)=\frac{log(b)}{log(a)}

I hope this is useful for you

regards

6 0
3 years ago
How do you solve: 3/4n-18=1/4n-4
Lena [83]
1. You must subtract both sides by 1/4n to end up with 2/4n-18=-4

2.Then you add 18 to both sides to end up with 2/4n=14

3. Now you multiply both sides by 2/4 , aka 1/2 to get n by itself, and you will end up with n=7

n=7 is your answer!
8 0
3 years ago
What is the equation of the line that passes through the given point and is perpendicular to the given line?
skad [1K]

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is <em>(y-1) = m1 (x-1)...............(i)</em> {using one point formula}

Also, another equation which is perpendicular to the line is <em>y = 1/5 x + 4/5..........(ii)</em>

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

6 0
3 years ago
What is the perimeter of a regular hexagon if one side<br> measures 1 1/4 inches?
vazorg [7]

Answer:

7.5

because, 1 1/4 x 6=7.5

8 0
3 years ago
What is a11. A12. A21. A22
Ierofanga [76]

Answer:

a_{11} =-1\\a_{12} =3\\a_{21} =5\\a_{22} =3/2\\

Step-by-step explanation:

2X-\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] =\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right]\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4&8\\2&-2\end{array}\right] +\left[\begin{array}{ccc}2&-2\\8&5\end{array}\right])\\X=\frac{1}{2} (\left[\begin{array}{ccc}-4+2&8-2\\2+8&-2+5\end{array}\right] )\\X=\frac{1}{2} (\left[\begin{array}{ccc}-2&6\\10&3\end{array}\right] )\\X= (\left[\begin{array}{ccc}\frac{1}{2}(-2)&\frac{1}{2}(6)\\\frac{1}{2}(10)&\frac{1}{2}(3)\end{array}\right] )\\

X= (\left[\begin{array}{ccc}-1&3\\5&3/2\end{array}\right] )

a_{11} =-1\\a_{12} =3\\a_{21} =5\\a_{22} =3/2\\

8 0
3 years ago
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