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Black_prince [1.1K]
3 years ago
11

Solve for x. 4 1/3x=5/12x−6

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
  4¹/₃x = ⁵/₁₂x - 6
3¹¹/₁₂x = -6
       x = -1²⁵/₄₇
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The product of 4 and a number x is 14
Sever21 [200]

Answer:

x=3.5

Why?

14/4=3.5

3 0
3 years ago
How do you solve this
AlladinOne [14]

Answer:

  • domain: all terms are defined for <em>all real numbers</em>
  • solution: x = 6

Step-by-step explanation:

Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.

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6 0
3 years ago
If an interest rate of 5% results in interest of $50,<br> what is the principal amount of the loan?
Luba_88 [7]
X times 0.05 = $50
Solve for x

We do the inverse of times which is divide

$50 divide by 0.05 = $1000

Thus, $1000 is the amount of loan.
7 0
3 years ago
Read 2 more answers
A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can
svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

  • A completes \dfrac{1}{x-5} of all work;
  • B completes \dfrac{1}{x} of all work.

Hence, in 1 day both A and B complete \dfrac{1}{x-5}+\dfrac{1}{x} of all work. A and B working together can do a work in 6 days. Then

6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.

Solve this equation:

\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.

If x=2, then x-5=-3 that is impossible. So, B needs 15 days to complete the work alone.

6 0
3 years ago
The sum of two consecutive even integers is 118. Find the smaller of the two integers.
kaheart [24]

Answer:

58 + 60

Step-by-step explanation:

Even integers are always seperated by 2.

6 0
2 years ago
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