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3 years ago

Solve the following equation:m - m-1/2 = 1 - m-2/3

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:

m = $\frac{7}{5}$

Step-by-step explanation:

m - $\frac{m-1}{2}$ = 1 - $\frac{m-2}{3}$

Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

6m - 3(m - 1) = 6 - 2(m - 2) ← distribute parenthesis on both sides

6m - 3m + 3 = 6 - 2m + 4 , that is

3m + 3 = - 2m + 10 ( add 2m to both sides )

5m + 3 = 10 ( subtract 3 from both sides )

5m = 7 ( divide both sides by 5 )

m = $\frac{7}{5}$

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Given the first term and common difference, find the first four terms and the formula

mylen [45]

Your awnser is 777777777777.66

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3 years ago

Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They

ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

$P = 2$

$G = 3$

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

This gives:

$P(G_1\ and\ G_2) = P(G_1) * P(G_2)$

$P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}$

$P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}$

$P(G_1\ and\ G_2) = \frac{3}{10}$

$P(P_1\ and\ P_2) = P(P_1) * P(P_2)$

$P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}$

$P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}$

$P(P_1\ and\ P_2) = \frac{1}{10}$

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

$P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)$

$P(Same) = \frac{3}{10} + \frac{1}{10}$

$P(Same) = \frac{3+1}{10}$

$P(Same) = \frac{4}{10}$

$P(Same) = \frac{2}{5}$

8 0

3 years ago

Can someone help me with this??

Umnica [9.8K]

Answer:

divide by 2

Step-by-step explanation:

5 0

3 years ago

Help me with this math pls

elena55 [62]

For the first triangle x=70. 180-40 is 140. Divided that by 2 and you’d get 70.

The second triangle x=90. 180-45 is 135. 135-45 (the angle congruent to the other 45 degree angle) is 90.

The third triangle x=65. 180-50 is 130. 130 divided by two is 65.

Check all answers by adding all the angles of the triangle and make sure they equal 180

8 0

3 years ago

Read 2 more answers

Iridium -192 has a half life of 74 days after 148 days, how many milligrams of 900 mg sample will remain?

Ad libitum [116K]

$\bf \textit{Amount for Exponential Decay using Half-Life}
\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &900\\
t=\textit{elapsed time}\to &148\\
h=\textit{half-life}\to &74
\end{cases}
\\\\\\
A=900\left( \frac{1}{2} \right)^{\frac{148}{74}}\implies A=900\left( \frac{1}{2} \right)^2\implies A=225$

8 0

4 years ago

Solve the following equation:m - m-1/2 = 1 - m-2/3​

Solve the following equation:m - m-1/2 = 1 - m-2/3