If 4A = 3B = 2C, find A : B : C

Answer:

3x = 12

x = 4

Step-by-step explanation:

The equation indicates that the distance to the dance class is three times that to her home, and when multiplied by "x", it reveals how much farther 3 is from 12. Consequently, if you evaluate the expression, the distance to the dance class is four times greater than that to her music class.

Answer:

45 mph

Step-by-step explanation:

Calculate the unit rate (i.e., speed):

6 mi        60 min

--------- * ------------- = (3/4)(60) mph = 45 mph

8 min       1 hr

Answer:

5.25ft below the waterline

Step-by-step explanation:

1. I entered the given equation into a graphing calculator (I use Desmos) and substituted "t" with "x" since it’s easier that way.

2. A graph appeared. To find the initial position of the paddle, I checked where it was at t=0, which is the y-intercept. It shows it’s at -5.25, indicating it sits 5.25 below the surface of the water.

Response:

1 (only applicable if e is not zero)

Detailed explanation:

xy + 5ey = 5e

0y + 5ey = 5e

y = 5e/5e

y = 1

This is an exercise in fact families. A fact family consists of four related facts: two addition sentences and two subtraction sentences. The task asks for the subtraction fact written two ways.

First way. Start with 10 objects—imagine 10 triangles:

Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ 

So subtracting 3 from 10 gives:


Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ

Thus subtracting 7 from 10 yields: