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3 years ago

The sum of 1/2 and 6 times a number is equal to 5/6 subtracted from 7 times the number

Mathematics

1 answer:

drek231 [11]3 years ago

5 0

Answer:

X =1/39

Step-by-step explanation:

1/2+ 6X = 5/6 - 7X Transposing terms

6X + 7X =5/6 - 1/2

13X = 5/6 - 3/6

13X = 2/6 simplifying

13X = 1/3

and transposing 13:

X =1 / (13x3) reducing

X= 1/39

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PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE

Zina [86]

Answer and Explanation:

Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?

This problem can be represented by $3x+3\leq 30$ .

'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.

$3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}$

So, Gina would have a maximum of 9 hours to swim in the pool.

Hope this helps.

3 0

3 years ago

Can someone help and show how this is done

blondinia [14]

Answer:

18x+5

Step-by-step explanation:

Rhe perimeter of a triangle is the sum of its three sides which here are (6x-3), (5x+6), (7x+2).

So we add them all up, 6x-3+5x+6+7x+2=18x+5

8 0

3 years ago

Read 2 more answers

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Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

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5 0

1 year ago

3/4 of 24 is 3 groups of 6, which is 18. So Han ate 18 less than Tyler, or Han at 6. So you take the 24(x) and you subtract 24 o

aksik [14]

Answer:

Step-by-step explanation:

Let the total amount ate by Tyler and Han be 24

Let the amount Tyler ate be x

Amount Han ate be y

If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;

x = 3/4of 24

x = 3/4×24

x = 3×6

x = 3(6)

x = 18

Hence the amount Tyler ate is 18

If Han ate 18 less than Tyler, the amount ate by Han will be;

Han y = 24-(3/4(24)

y = 24-{3(6)}

y = 24-18

y = 6

Hence the total Han ate is 6

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3 years ago

Jorge is attending college next year. He just got information on the college costs and the financial aid package the college is

Ksivusya [100]

Answer:the answer is 11,500.

8 0

3 years ago