What is 37/6 as a mixed number?

Answer:

39

Step-by-step explanation:

work out 3/5 of 65

The of simply indicate multiplication .

Therefore,

3/5 × 65

multiply the numerators and divide by the multiplication value of the denominators

(65 × 3)/5

195/5

195 divided by 5

39

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

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20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

10+75                                             [solve add or subtract]

85

Answer:

85

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

Next, evaluate the exponent.

5² = 5*5= 25

Next, multiply 25 and 3.

25 *3 =75

Then, divide 20 by 2.

20/2=10

Finally, add 10 and 75.

The expression evaluated is 85.

Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

Answer:

a) Δ ABC is rotated around the origin by angle 180° and then translated 1

unite to the right and 3 units up

b) R (O , 180°) and T (x + 1 , y + 3)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) rotated about the origin by angle 180° then its image

 is (-x , -y)

- If the point (x , y) translated horizontally to the right by h units

 then its image is  (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 then its image is  (x - h , y)

- If the point (x , y) translated vertically up by k units

 then its image is  = (x , y + k)

- If the point (x , y) translated vertically down by k units

 then its image is  (x , y - k)

* Lets solve the problem

∵ Δ ABC change its place from 2nd quadrant to the 4th quadrant

  and reverse its direction Point A up and its image A" down

∵ No change in its size

∴ Triangle ABC rotates 180° clockwise around the origin

# Remember : There is no difference between rotating 180° clockwise

  or  anti-clockwise around the origin

∵ The vertices of Δ ABC are:

# A = (-3 , 5)

# B = (-3 , 2)

# C = (-1 , 2)

∵ If point (x , y) rotated about the origin by angle 180° then its image

 is (-x , -y)

∴ A'' = (3 , -5)

∴ B'' = (3 , -2)

∴ C'' = (1 , -2)

∴ Triangle ABC rotates 180° around the origin to form ΔA"B"C"

∵ The vertices of Δ A'B'C are:

# A' = (4 , -2)

# B' = (4 , 1)

# C' = (2 , 1)

- By comparing the x-coordinates and y-coordinates of points of

 Δ A''B''C'' and Δ A'B'C' we will find that every x-coordinate add by 1

 and every y-coordinate add by 3

∵ 4 - 3 = 1 and 2 - 1 = 1 ⇒ x- coordinates

∵ -2 - (-5) = -2 + 5 = 3 and 1 - (-2) = 1 + 2 = 3 ⇒ y-coordinates

∴ ΔA''B''C'' translates to the right 1 unite and up 3 units to form

  Δ A'B'C'

a) Δ ABC is rotated around the origin by angle 180° and then

   translated 1 unite to the right and 3 units up

b) R (O , 180°) and T (x + 1 , y + 3)

Answer:

1)3×3×5×2×2

2)2×2×2×2×2×3×13

3)5×3×3×2×2