How much is -1 over 4 of 1 1 over 3

The number sentence 4x7=(4x3)+(4x4) is an example of what property

Otrada [13]

The number sentence 4x7=(4x3)+(4x4) is an example of distributive property.
The distributive property states the following:
a × (b + c) = a × b + a × c
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. 
In our case, a=4 b+c=7, b=3, c=4

8 0

3 years ago

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A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo

Gekata [30.6K]

1. A model of a famous statue is $2\dfrac{1}{2}$ inches tall that is

$\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}$ in.

2. The actual statue is $3\dfrac{1}{3}$ feet tall that is

$\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.$

3. The ratio of the height of the model to the height of the actual statue in simplest form is

$\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.$

Answer: $\dfrac{1}{16}.$

4 0

2 years ago

What is the rate of change for y=2x+10

Tanzania [10]

Answer:

its 2

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval

8 0

2 years ago

find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m

aalyn [17]

$Area\ of\ a\ rectangle:A_{\fbox{ }}=9m\times4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=\sqrt{36m^2}\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4\times6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}$

4 0

3 years ago

Please help! Giving Brainliest for the best answer!

klasskru [66]

Answer:

D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

See the picture for better visual

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

This rotation rule is:

(x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

We now can conclude the correct choice is D:

A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

8 0

2 years ago