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2 years ago

Explain how to use what you know about whole number division to check your work when you divide with fractions.

Mathematics

1 answer:

serious [3.7K]2 years ago

4 0

A fraction is a way to describe a part of a whole. A fraction can be a proper fraction, an improper fraction, or a mixed fraction.

<h3>What is a Fraction?</h3>

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A fraction consists of two whole numbers, a number that is above the fraction line which is the Dividend, while the number that is below the fraction line is known as the denominator and is the divisor. The result or the answer which we get when we solve the fraction is the factor or can be said, it is the quotient of the operation.

Suppose there is a fraction, a/b which is equal to c, then,

a is the dividend, b is the divisor, and c is the quotient.

Learn more about Fraction:

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Pls I need help with this question..Thanks

Nimfa-mama [501]

Answer:

60cm

Step-by-step explanation:

1:50 means every foot is 50 feet.

So I would think the ship hes making will be 2 feet long.

Every foot is equal to 0.3m which is equal to 30cm

Every foot is equal to 30cm

2 x 30cm = 60cm

8 0

2 years ago

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

2 years ago

What does it mean to SOLVE a system of linear equations?

Ganezh [65]

Answer:

In solving a system of linear equations, we try to find values for each of the unknowns that will satisfy every equation in the system

Step-by-step explanation:

8 0

3 years ago

How to find the area of 2 half circles and a rectangle

gladu [14]

Hello!

We use different formulas to calculate the areas of different shape.

RECTANGLE:

To find the area of a rectangle, we must simply multiply its length by its width. The formula for its area is:

A = l × w

SEMICIRCLE:

Since the formula for a circle is pi × r × r, we must use the same formula but divide it in half, because a semicircle is a half circle, which is why its area would also be half of a circle's. The formula for a semicircle's area is:

A = 1/2 pi × r × r

Tip:

Write these formulas down and memorize them so that you don't forget them. You'll have to use these formulas quite often when finding the area of these shapes.

6 0

3 years ago

The eight of a cone-shaped container is 18 centimeters and it’s radius is 7 centimeters. Meg fills the container completely with

ankoles [38]

Hello!

The find the volume of a cone you divide the product of the base and height by 3. First we find the area using $\pi$ r².

A=49(3.14)=153.86

Now we multiply this by the height.

153.86(18)=2769.48

Now we divide by 3.

2769.48/3=923.16

Now we divide this number by 21 to see how many days it will take for the container to become empty.

923.16/21=43.96≈44

Therefore, our answer is A) 44 days.

I hope this helps!

8 0

3 years ago