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3 years ago

1 7/12 as the simplest form plsss

Mathematics

1 answer:

UkoKoshka [18]3 years ago

3 0

9514 1404 393

Answer:

1 7/12 is simplest form as a mixed number
19/12 is simplest form as an improper fraction

Step-by-step explanation:

A fraction is in simplest form when any common factors in the numerator and denominator have been factored out (cancelled). The fraction 7/12 has no common factors in the numerator and denominator. (7 is a prime number, and 12 = 2²·3 is not a multiple of 7.) Hence, the fraction 7/12 is in simplest form.

When the fraction is part of a mixed number, that mixed number is in simplest form when the fraction is. Here, 1 7/12 is in simplest form.

The integer portion of a mixed number can be expressed over the fraction's denominator by multiplying it by 1 in the form (denominator)/(denominator).

$1\dfrac{7}{12}=1\times\dfrac{12}{12}+\dfrac{7}{12}=\dfrac{1\times12+7}{12}=\dfrac{19}{12}$

Since the fraction 7/12 is in simplest form, this improper fraction is in simplest form. 19/12 is the simplest form of 1 7/12 when expressed as an improper fraction.

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The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. Wha

padilas [110]

Answer:

Suppose that we have a given point (x, y)

If we translate this point N units to the right, then the new coordinates of the point are:

(x + N, y)

Ok, now if we know that the vertices of the trapezoid are:

(1, 2), (3, 1), (3, 5), (1, 4)

And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.

Then the new vertices of the figure will be:

(1 + 4, 2) = (5, 2)

(3 + 4, 1) = (7, 1)

(3 + 4, 5) = (7, 5)

(1 + 4, 4) = (5, 4)

Then the coordinates of the image of the trapezoid (of the new vertices) are:

(5, 2), (7, 1), (7, 5), (5, 4)

6 0

3 years ago

Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest thousand.

prisoha [69]

Answer:

5000

Step-by-step explanation:

if its 5 or more round up. If it's 4 or less round down

6 0

2 years ago

The two largest lizards in the united states are the gila monster and the chuckwalla. The average gila monster is 0.608 meter lo

Mamont248 [21]

Answer:

Gila Monster is 1.54 times that of Chuckwalla.

Step-by-step explanation:

Given:

Average Length of Gila Monster = 0.608 m

Average Length of Chuckwalla = 0.395 m

We need to find the number of times the Gila monster is as the Chuckwalla.

Solution:

Now we know that;

To find the number of times the Gila monster is as the Chuckwalla we will divide the Average Length of Gila Monster by Average Length of Chuckwalla.

framing in equation form we get;

number of times the Gila monster is as the Chuckwalla = $\frac{0.608}{0.395} = 1.5392$

Rounding to nearest hundredth's we get;

number of times the Gila monster is as the Chuckwalla = 1.54

Hence Gila Monster is 1.54 times that of Chuckwalla.

5 0

3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

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MrRissso [65]

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2 years ago