$21x-14y \\ \\ GCF = 7 \\ \\ 7( \frac{21x}{7} + \frac{-14y}{7} ) \ / \ factor \ out \ gcf \\ \\ 7(3x - 2y) \ / \ simplify \\ \\ Answer: \fbox {7 (3x - 2y)}$

4 0

2 years ago

A rate in which the first quantity is compared to 1 unit of the second quantity

Ivan

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

7 0

3 years ago

Solve (x+2<5) u (x-7>-6)

FrozenT [24]

Answer:

{x | x<3 or x>1}

Step-by-step explanation:

x+2<5

x<5-2

x< 3

x-7> -6

x> -6+7

x>1

symbol U means union

5 0

2 years ago

Diamonds have a density of 3.5 LaTeX: \frac{g}{cm^3}g c m 3. How big is a diamond that has a mass of 0.10 g?

liubo4ka [24]

For this case we have that by definition, the density is given by:

$d = \frac {M} {V}$

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

$d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g$

So the volume is:

$V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3$

Thus, the volume of the diamond is approximately $0.03 \ cm ^ 3$

Answer:

$0.03 \ cm ^ 3$

3 0

3 years ago