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Greeley [361]
3 years ago
9

6x - 5 + 7x = 34 find variable

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

6x - 5 + 7x = 34

Find x

______________

To solve this, we need to isolate x :

First add like terms :

6x + 7x

13x

13x - 5 = 34

Add 5 to both sides :

13x = 39

Divide 13 from both sides to get x alone :

x = 3

saul85 [17]3 years ago
4 0

Answer:

x=3

Step-by-step explanation:

Start by moving the 5 over creating 6x+7x=34+5. Then add them together 13x=39. And now simplify x=3

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Integrate this two questions ​
tankabanditka [31]

Simplify the integrands by polynomial division.

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Now computing the integrals is trivial.

5.

\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}

where we use the power rule,

\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)

and a substitution to integrate the last term,

\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)

8.

\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}

using the same approach as above.

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An ice cream shop uses 4 pints of ice cream to make 6 sundaes. The same amount of ice cream was used for each sundae. How many p
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Answer:

1.5 pints per sundae

Step-by-step explanation:

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