Express 3.12 as a fraction in lowest terms.3 10/12

3 5/6

312/1000

3 3/25

Answers

Answer 1

Answer:

Answer:

3 3/25

Step-by-step explanation:

The number 3.12 has a decimal number of 0.12. We know that numbers after the point is divided by 100. Therefore 0.12 is:

$=12/100$

We can simplify this by dividing by 4. Four goes into twelve 3 times and into a hundred 25 times:

$=12/100=3/25$

Theforet the answer is 3 3/25.

Answer 2

Answer:

The decimal 3.12 as a fraction in lowest terms is (d) 3 3/25

How to express 3.12 as a fraction in lowest terms.

From the question, we have the following parameters that can be used in our computation:

Number = 3.12

Express 3.12 as the sum of numbers 3 and 0.12

So, we have the following representation

Number = 3 + 0.12

Express 0.12 as a fraction

So, we have the following representation

Number = 3 + 12/100

Simplify

Number = 3 + 3/25

Evaluate the sum

Number = 3 3/25

Hence, the fraction 3.12 as a fraction in lowest terms is (d) 3 3/25

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The high school band director plans to survey his students about the music he should select for their spring concert. Which group would provide the best representative sample?15 girls from all band levels
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Answers

Ans. 5 members from each of the 4 grade-level bands.

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Which function in vertex form is equivalent to f(x) = x2 + 6x + 3? f(x) = (x + 3)2 + 3
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6

Answers

complete the square
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6

2nd choice

Answer:

f(x) = (x+3)2+3

Step-by-step explanation:

How to solve 12^r=13 in solving exponential equation with logarithms

Answers

12^r = 13

Take the logarithm of each side of the equation:

r log(12) = log(13)

Divide each side by log(12) :

r = log(13) / log(12) = 1.03221,,, (rounded)

$12^r=13\n r=\log_(12)13$

Find the product.
(n^3)^2 * (n^5)^4

Answers

Hi

(n^3)^2 × (n^5)^4 = n^6 × n^20 = n^26

Answer: n^26

What’s the answer to this

Answers

Step-by-step explanation:

undefined

Answer:

C) Undefined

Step-by-step explanation:

When the slope on a graph is straight there is no slope so therefore it is undefined.

The length of a rectangle is 7 mm longer than its width. Its perimeter is more than 62 mm. Let w equal the width of the rectangle. Write an expression for the length in terms of the width.
Use these expressions to write an inequality based on the given information.
Solve the inequality, clearly indicating the width of the rectangle

Answers

We know that the length (L) of the rectangle in question is 7mm longer than its width (W). Let's represent that as the following:
L=7+W

A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length (2L) and 2 sides representing the width (2W). We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.

Final answer:

The length of the rectangle is expressed as w + 7 mm. The inequality for the perimeter is 2(w + w + 7) > 62. The solution for the inequality reveals that the width, w, must be more than 12mm.

Explanation:

The question is asking for an expression for the length of a rectangle in terms of the width and an inequality based on the perimeter. We are given that the length of the rectangle is 7 mm longer than its width, and its perimeter is more than 62 mm.

The width of the rectangle is defined as w. We can express the length as w + 7 mm, since it is 7 mm longer than the width.

The perimeter of a rectangle is calculated as 2 times the sum of its width and length, so we form the inequality: 2(w + w + 7) > 62.

To solve it, we simplify the left side: 4w + 14 > 62. We then subtract 14 from both sides, getting 4w > 48. Finally, we divide both sides by 4, which gives us w > 12. Therefore, the width of the rectangle must be more than 12 mm.