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ad-work [718]
1 year ago
15

Solve for v.-6(-4v+1)-v=7(v-3)-3 Simplify your answer as much as possible!

Mathematics
1 answer:
spin [16.1K]1 year ago
7 0

We want to solve the equation

\text{ -6\lparen -4v+1\rparen -v=7\lparen v -3\rparen -3}

we start by distributing on both sides the multiplication. So we get

(\text{ -6\rparen\lparen -4\rparen v - 6 - v =}7v\text{ - 3}\cdot7\text{ -3}

if we operate, we get

24v\text{ -6 -v=7v  - 21 -3}

if we operate on both sides, we get

23v\text{ -6=7v - 24}

we start by subtracting 7v on both sides, so we get

\begin{gathered} 23v\text{ -6 - 7v= -24} \\ 16v\text{ -6= -24} \end{gathered}

now, we add 6 on both sides. So we get

16v=\text{ -}24+6=\text{ -18}

so if we divide both sides by 16 we get

v=\text{ - }\frac{18}{16}=\text{ -}\frac{9\cdot2}{8\cdot2}=\text{ -}\frac{9}{8}

so the value of v is -9/8

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7 0
4 years ago
The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil
malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

And, the total number of aces in a shuffled standard deck = 4

As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52

= 1/13

Hence, the theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

Find out more information about theoretical probability here:

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8 0
2 years ago
Consider the diagram.
Dima020 [189]

Answer:

AB = 9

Step-by-step explanation:

Given that line, l is a perpendicular bisector of line segment AC. It intersects line segment AC at point B.

So, we can conclude that AB = BC ............ (1)

Also given that the length of line segment BC is 9.

Now, from equation (1) we can say that, AB = 9.

Therefore, the length of segment AB is 9. (Answer)

7 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! THANK YOU! please!
andrew-mc [135]

Answer: 5. x=33, y= 33, z=114

Step-by-step explanation: the triangles and supplementary lines all add to 180, so find one of them, and use that one to find the others

5 0
3 years ago
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Two times a number plus four is 22. What is the number?<br> 2<br> 6<br> 9<br> 11
34kurt

Answer:

9

Step-by-step explanation:

22-4 = 18 ("plus four")

18/2 = 9 ("two times a number")  

3 0
3 years ago
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