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liraira [26]
3 years ago
12

What is x? 4(x - 4) + 65 = -3x

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0
    4(x - 4) + 65 = -3x
4(x) - 4(4) + 65 = -3x
     4x - 16 + 65 = -3x
            4x + 49 = -3x
          - 4x           - 4x
                    49 = -7x
                    -7      -7
                     -7 = x
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Please solve quickly
Lilit [14]
6/9 .. z. Z. Z. Z. Z. Z.
3 0
3 years ago
Someone help me for this algebra task please
Gekata [30.6K]

Answer:

200

Step-by-step explanation:

Substitute 15 for y

\frac{1}{5} x -  \frac{2}{3} (15) = 30

\frac{1}{5} x - 10 = 30

\frac{1}{5} x = 40

x = 200

3 0
3 years ago
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minu
AlladinOne [14]

<u>Complete Question</u>

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.  

\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198    \end{array}\right|

Answer:

\dfrac{108}{329}

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation,  the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = \dfrac{108}{329}

8 0
3 years ago
I need help with truth tables
Lerok [7]

The complete table of truth value for the composite proposition:

       p           q          ¬ q          p ∨ ¬ q            (p ∨ ¬ q) ⇒ q

       T           T             F              T                           T

       T           F             T              T                           F            

       F           T             F              T                           T

       F           F             T              T                           F                

<h3>How to fill a truth table with composite propositions</h3>

In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:

  1. Negation changes the truth value of the proposition into its opposite.
  2. Disjunction brings out "true" value when at least one of the two propositions is so.
  3. Conjunction brings out "true" value when the two propositions are so.
  4. Conditional form brings out "true" value when both propositions are true or only the consequent is true or both propositions are false.

Now we present the complete table of truth value for the composite proposition:

       p           q          ¬ q          p ∨ ¬ q            (p ∨ ¬ q) ⇒ q

       T           T             F              T                           T

       T           F             T              T                           F            

       F           T             F              T                           T

       F           F             T              T                           F                          

To learn more on truth values: brainly.com/question/6869690

#SPJ1

7 0
1 year ago
The altitude of a triangle is 6 cm greater than its base .if its area is 108 cm ,find its base
xeze [42]

Area of the triangle = (1/2)*base*height

base = x

height = altitude = x+6

Area of the triangle = (1/2)*x*(x+6) = 108

(1/2)*x*(x+6) = 108

x²+6x-216 =0

(x+18)(x-12)=0

x=-18, or x=12

We can use only positive value, so x=12.

Base =12 cm.


6 0
3 years ago
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