$146 + 8 \frac{1}{5} \\ \\ = 146 + \frac{8 \times 5 + 1}{5} \\ \\ = \frac{146 \times 5 + 40 + 1}{5} \\ \\ = \frac{730 + 41}{5} \\ \\ = \frac{771}{5} \\ \\ = 154 \frac{1}{5} \\ \\ thus \\ \\ \huge \orange{ \boxed{146 + 8 \frac{1}{5} = 154 \frac{1}{5}}}$

4 0

3 years ago

the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be

erastova [34]

If you set up a proportion, this will make sense.

$\frac{6}{1}= \frac{12.5}{x}$

Now, Cross Multiply

6x = 12.5

x = 25/12

3 0

3 years ago

Triangle ABC is translated according to the rule (x,y) arrow (x+2,y-8) if the coordinates of the pre image of point B are (4,-5)

kherson [118]

Answer: the coordinates of B' are (6, -13)

Justification:

1) Translating triangle ABC according to the rule (x,y) → (x + 2, y - 8) means that every single point of the triangle will be translated two units to the righ (x + 2) and 8 units downward (y - 8).

2) To find the coordinates of anay image you have to add up 2 to the x coordinate (x + 2) and subtract 8 from the y-coordinate (y - 8).

3) Peforming those simple operations to the coordinates of the point B (4, -5), you will obtain the point B':

* x' = x + 2 = 4 + 2 = 6
* y' = y - 8 = -5 - 8 = - 13

Answer: the coordinates of B' are (6, -13)

5 0

3 years ago