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3 years ago

Solve 27 = 34x + 1. one fourth one half 2 4

Mathematics

2 answers:

umka21 [38]3 years ago

4 0

Answer:

x = 13/17

Step-by-step explanation:

27 = 34x + 1

34x = 27 - 1

34x = 26

x = 26/34

x = 13/17

sweet-ann [11.9K]3 years ago

4 0

Answer:

The answer is 1/2

Step-by-step explanation:

Rewrite as 3^4x+1=27

Create equivalent expressions that have equal bases:

3^4x+1=3^3

Since the bases are the same, 2 expressions are only equal if the exponents are also equal so,

4x+1=3

Solve for x:

4x=2

divide each by 4

2/4=1/2

1/2 is your answer.

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3 years ago

The grounds keeper of Estofer Park has to mow 14,623 sq. ft. of grass. He can mow 13 sq. ft of grass in one minute. How many min

MA_775_DIABLO [31]

Answer: $1,124\frac{11}{13}\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes that will take him to mow the entire park.

You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.

Then, you can write the following proportion:

$\frac{1}{13}=\frac{x}{14,623}$

Solving for "x", you get:

$x=\frac{14,623}{13}\ min$

To write that improper fraction as a mixed number:

- The quotient when you divide the numerator by the denominator of the fraction obtained, is $1,124$ (This will be the whole number).

- The remainder of that division is $11$ (This will be the numerator of the fraction).

- The denominator does not change.

Then:

$x=1,124\frac{11}{13}\ min$

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