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loris [4]
3 years ago
10

2p/9 + 5p/18 - 5/6 = 2/3 + p/12 + 1/6

Mathematics
1 answer:
mezya [45]3 years ago
4 0
\frac{2p}{9}+\frac{5p}{18}-\frac{5}{6}=\frac{2}{3}+\frac{p}{12}+\frac{1}{6}\ \ \ |Multiply\ by\ 36\\\\
4*2p+2*5p-5*6=12*2+3*p+6*1\\\\
8p+10p-30=24+3p+6\\\\
18p-30=3p+30\ \ \ |Subtract\ 3p\\\\
15p-30=30\ \ \ |Add\ 30\\\\
15p=60\ \ \ |Divide\ by\ 15\\\\
\boxed{p=4}
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How many different sums can be made with 3 numbers?
Tanzania [10]
1 sum

because of the commutative property of addition
a+b=b+a
we can furthuer expand it

a+b+c=a+c+b=b+a+c=b+c+a=c+b+a=c+a+b

same sum
you can test it with numbers
4 0
3 years ago
Which expression is equivalent to (f + g)(4)?​
krok68 [10]

Answer:

4f+4g

Step-by-step explanation:

6 0
3 years ago
What is the answer pls I will mark as brainless
frosja888 [35]

Answer:

-10

Step-by-step explanation:

24+8-(7x6)

3 0
3 years ago
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove
bonufazy [111]

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines x and y intersect to make pairs of vertical angles:

\angle q, \angle s and \angle r, \angle t.

Kindly refer to the attached image for details of the given angles and lines.

Proof that \angle q\cong \angle s :

\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary  \\  m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary  \\  \angle q+\angle r=\angle q+\angle r & Algebraic substitution  \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}

Here, subtraction property of equality is used in the last step shown in the above.

As per the <em>Subtraction property </em>of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

5 0
4 years ago
The fat content for seven different sandwiches at a restaurant is 42, 61, 13, 9, 12, 42, and 62. Find the mean, median and mode
cestrela7 [59]
The mode of the given data set is 42, becuase mode is define as the number with the must number of responses or result.
The mean of the given data set is 26.89, because it is define as the average of the data set
The median of the data set is 42, it is define as the middle figure when the data set is already arrange ascending or descending.
6 0
3 years ago
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