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adoni [48]
2 years ago
8

How do i solve 3v + 1 + 7v = -12

Mathematics
2 answers:
Pie2 years ago
6 0

Answer:

Answer:

v=-13/10

Step-by-step explanation:

Our equation: 3v+1+7v=-12

So, lets solve this step by step:

Step #1 - We first need to combine like terms. This means to combine the vs together. Once we combine them, we get:

10v+1=-12

Step #2 - Now we iscolate the variable(which in this case is v). To do this we subtract the 1 to the other side of the equation. Once we subtract the 1 to the -12, we get:

10v=-13

Step #3 - Finally, we must get rid of the coefficent. To do this, we divide the 10 in front of the v by 10. What we do on one side, we must do on the other, which means we must also divide the -13 by 10 as well. Now we get our answer:

v = -\frac{13}{10}

Hope this helps! :3

riadik2000 [5.3K]2 years ago
4 0

Answer:

-1.3

Step-by-step explanation:

3v+1+7v=-12 equation

10v+1=-12 combine like terms

10v=-13 subtract 1 from both sides

v=-1.3 divide by 10

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John and Jane are married. The probability that John watches a certain television show is .7. The probability that Jane watches
ikadub [295]

a) The probability  that both John and Jane watch the show is 0.12.

b.The probability that Jane watches the show, given that John does is  0.1714.

c)They do watch show independent of each other.

Step-by-step explanation:

Here, as given in the question:

Probability that John watches a certain show  = 0.7   ⇒ P(J) = 0.7

Probability that Jane watches a certain show  = 0.3   ⇒ P(Je) = 0.3

Probability that John watches a certain show given Jane watches it to

 = 0.4   ⇒ P(J/Je) = 0.4

a. )  Here, we need to find the probability of  both Jane and John watching a show , P(J∩Je)

Now, by BAYES THEOREM:

P(J/Je)  = \frac{P(J \cap Je)}{P(Je)}

\implies  0.4  = \frac{P(J \cap Je)}{0.3} \\\implies P(J \cap Je) = 0.4 \times 0.3  = 0.12

Hence the probability  that both John and Jane watch the show is 0.12.

b.) The probability that Jane watches the show, given that John does is P(J/Je)

By BAYES Theorem:

P(Je/J)  = \frac{P(J \cap Je)}{P(J)}\\\implies P(Je/J)  = \frac{0.12}{0.7}  = 0.1714

Hence, the probability that Jane watches the show, given that John does is  0.1714.

c) As we can see P(Jane ∩ John) =  0.12

So, the probability of both of them seeing the show TOGETHER is 0.12.

Hence, they do watch show independent of each other and the probability of doing that is 1.0.12  = 0.88

7 0
3 years ago
1. Find the percent markup.
krek1111 [17]

\mathbb{ \ \underline{ \:  \:  ANSWER  : }}

1. Find the percent markup.

Markup ($) = percent markup (%) x original cost ($)

A computer store buys a laptop for $635 directly from the manufacturer (Dell). The markup is $570. What is the percent markup on the computer?

The percent markup is: <u> </u><u>90</u><u> </u>%

\mathbb{ \ \underline{ \:  \:  SOLUTION    : }}

FORMULA: Percent of Markup = Markup/Cost x 100

  • = $570/$635 x 100
  • = 0.90 x 100
  • = 90%

7 0
2 years ago
Consider firing a pumpkin from a canon at a target that is 17 meters away. The pumpkin follows a quadratic path as displayed to
bixtya [17]
A.
(0,00
(2.6,7.9)
(4.8,12.4)
(9.7,15.1)

b.
well, the points don't look like they are on the line but they actually are (plot twist)


so
since (0,0) is on th egarph

0=a(0)²+b(0)+c
0=c
so
f(x)=ax²+bx+0 or
f(x)=ax²+bx

find a and b
sub points

(2.6,7.9)
7.9=a(2.6)²+b(2.6)
7.9=6.76a+2.6b

(4.8,12.4)
12.4=a(4.8)²+b(4.8)
12.4=23.04a+4.8b

use those 2 equations
7.9=6.76a+2.6b
12.4=23.04a+4.8b

eliminate b
multiply first equation by -4.8 and 2nd by 2.6 and add them
-37.92=-32.448a-12.48b
32.24=59.904a-12.48b +
-5.68=27.456a+0b

-5.68=27.456a
divide both sides by 27.456
(-5.68/27.456)=a
find b

12.4=23.04a+4.8b
12.4=(-130.8672/27.456)+4.8b
12.4+(130.8672/27.456)=4.8b
(12.4+(130.8672/27.456))/4.8=b

da equation is
y= \frac{-5.68}{27.456} x^2+ \frac{12.4+\frac{130.8672}{27.456}}{4.8}x



c. the roots are found with your calculator
the roots are at x=0 and x=17.287323943662
so very close to the target but not exactly on it
if the target has a radius of 0.287323943662 or more then it will hit the target
5 0
3 years ago
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