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3 years ago

-k+3(4k-1)+2 simplify

Mathematics

2 answers:

eduard3 years ago

7 0

Answer:

11k -1

Step-by-step explanation:

- k + 3(4k - 1) + 2

-k +12k - 3 +2

11k -1

Tems11 [23]3 years ago

5 0

Answer:

11k-1

Step-by-step explanation:

remove the parentheses and distribute the 3

which leaves you with -k+12k-3+2

collect all like terms

gets you to 11k-1

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4 years ago

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lisabon 2012 [21]

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3 years ago

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Which expression is equivalent to 12 to the 10 over 12?

jonny [76]

<h3>Answer: Choice C</h3>

Work Shown:

$\frac{12^{10}}{12}\\\\\\\frac{12^{10}}{12^1}\\\\\\12^{10-1}\\\\\\12^{9}\\\\\\\frac{1}{12^{-9}}\\\\\\\left(\frac{1}{12}\right)^{-9}\\\\\\$

In the third step, I used the rule that $\frac{a^b}{a^c} = a^{b-c}$ . You subtract the exponents when dividing exponents of the same base.

After that, I used the rule $a^{-b} = \frac{1}{a^b}$ which is the same as saying $a^{b} = \frac{1}{a^{-b}}$ to end up with choice C as the answer.

5 0

3 years ago

at the county fair , 12% of the pepole who attended received free water bottels . if 1,500 people receive dfree water bottles ,

sweet-ann [11.9K]

12500 people went to fair

<h3><u>Solution:</u></h3>

Given that at the county fair , 12% of the people who attended received free water bottles

1,500 people received free water bottles

To find: number of peoples went to fair

Let "a" be the number of peoples went to fair

From given information,

12% of the people who attended received free water bottles and 1,500 people received free water bottles

Which means 12% of total people is equal to 1500

12% of total people = 1500

12 % of "a" = 1500

$\frac{12}{100} \times a = 1500\\\\a = 1500 \times \frac{100}{12}\\\\a = \frac{150000}{12} = 12500$

Thus 12500 people went to fair

3 0

3 years ago

injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has <u>three</u> sides of the square and the distance round <u>a half of a</u> complete circle.

5 0

3 years ago