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2 years ago

2 2/3 + 3 3/4 This Is Fraction

Mathematics

2 answers:

dangina [55]2 years ago

6 0

Answer:

6 5/12

Step-by-step explanation:

2 2/3 as a mixed number is 8/3

3 3/4 as a mixed number is 15/4

To make the 2 fractions have a common denominator, they become:

32/12 and 45/12

to add them up it will be: 77/12 which can be written as 6 5/12

Mandarinka [93]2 years ago

6 0

Answer:

5 5/12

Step-by-step explanation:

add the whole numbers (2 + 3) and then multiply the denominators (3 by 4 and 4 by 3 ) and now they are both 12. now add the top numbers together. which is 5 and the whole numbers were 5 too now it is 5 5/12

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Leo is storing leftover soup in a cube shaped container. One side of the container is 7 inches high. What is the volume of this

Fiesta28 [93]

The answer is 343

Because volume is length x width x height which would be 7 x 7 x 7

7 0

2 years ago

(05.08A)Triangle ABC is transformed to similar triangle A′B′C′ below:

Romashka-Z-Leto [24]

Answer:

1st option is correct i.e., 1 over 2

Step-by-step explanation:

Given that Triangle ABC transformed to Triangle A'B'C'.

Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)

Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)

Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,

if A(a,b) ⇒ A'(c,d)

where, a.k=c & b.k=d then k is scale factor of dilation.

Value of k is same for all vertices.

For coordinates of A & A' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 6.k=3\implies k=\frac{1}{2}$

For coordinates of B & B' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

For coordinates of C & C' ,we have $4.k=2\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

Therefore, the scale factor of dilation is $\:\frac{1}{2}\:$ since in all cases $k=\frac{1}{2}$

1st option is correct i.e., 1 over 2

3 0

3 years ago

Fatheya purchased a prepaid phone card for $25. Long distance calls cost 12 cents a minute using this card. Fatheya used her car

Pachacha [2.7K]

Answer:

22 minutes

Step-by-step explanation:

First you take away the original amount away from the remaining amount.

$25 - $22.36 = $2.64

Then you take that number and divide it by the cents per minute.

$2.64 ÷ 12 = 0.22

Then that's your answer!

Her call lasted 22 minutes.

7 0

2 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

2 years ago

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.

ludmilkaskok [199]

Answer:

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

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2 years ago