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makkiz [27]
3 years ago
15

Simplify 4(5x - 6) - 4(2x + 1) 12 x - 5 12 x - 20 12 x - 28

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

\huge{ \fbox{ \sf{12x - 28}}}

Step-by-step explanation:

\star{ \sf{ \:  \: 4(5x - 6) - 4(2x + 1)}}

\text{Step \: 1 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 4(2x + 1)}}

\text{Step \: 2 \:  : Distribute \: 4 \: through \: the \: parentheses}

\mapsto{ \sf{20x - 24 - 8x - 4}}

\text{Step \: 3 \:  : Collect \: like \: terms}

\text{Like \: terms \: are \: those \: which \: have \: same \: base}

\mapsto{ \sf{20x - 8x - 24 - 4}}

\mapsto{ \sf{12x - 24 - 4}}

\text{Step \: 4 \:  : Calculate}

\underline{ \sf{Remember!}} :  \sf{The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign}

\mapsto{ \sf{12x - 28}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

xxTIMURxx [149]3 years ago
3 0

Answer:

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

20x - 24 - 8x - 4

12x - 28

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Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds
tangare [24]

The answer is 2/3 times as heavy as the dog.

Since we are looking for the weight of the cat in relation to the dog's weight, we have to divide the cat's weight by the dog's weight.

5 1/2 = 5.5, 8 1/4 = 8.25.

5.5 / 8.25 = 2/3.

6 0
3 years ago
IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?
Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

If we plug the known values into this formula, we have

\dfrac{3}{5} = \dfrac{1}{3} + \dfrac{2}{5} - P(A\cap B)

From which we can deduce

P(A\cap B) = \dfrac{1}{3} + \dfrac{2}{5} - \dfrac{3}{5} = \dfrac{2}{15}

So, the probability of A \setminus B is a bit less than P(A), we have to take away all events that belong to B as well:

P(A \setminus B) = P(A) - P(A\cap B) = \dfrac{1}{3} - \dfrac{2}{15} = \dfrac{1}{5}

3 0
3 years ago
What is an integer between the square root of 30 and 4*Pi divided by 3
Andru [333]
\sqrt{30}\approx5.5\\
\frac{4\pi}{3}\approx4.2

It's 5.
3 0
3 years ago
What’s the difference of 1/4 and 1/5?
vfiekz [6]
1/4 is 25% or 0.25

1/5 is 20% or 0.20

So the difference between the two is 5%, 0.05, or 1/20. 
7 0
3 years ago
6. A factory has two types of machines.
Pie

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

35 \times 6 = x

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

8 0
3 years ago
Read 2 more answers
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