All categories

3 years ago

Solve the equation using the distributive property and properties of equality

Mathematics

2 answers:

NeTakaya3 years ago

6 0

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Distribute

1/2 x + 3 = 18

Subtract 3 from each side

1/2x +3-3 = 18-3

1/2x = 15

Multiply each side by 2

1/2x*2 = 15*2

x = 30

pickupchik [31]3 years ago

4 0

X=30
Distribute 1/2 to x and 6
Subtract 3 from both sides
Divide 1/2 on both sides

You might be interested in

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

Find the volume of x?<br> I will mark BRAINLIEST

DerKrebs [107]

Answer:

$x=73$

4 0

3 years ago

Read 2 more answers

Eight times the sum of 5 and a number is less than 56.

Gwar [14]

8• (5+x) < 56
That is the equation

4 0

3 years ago

Provide the reasons for the following proof. <br> I think the answer is c

pav-90 [236]

Answer:

d. HL CBCTC

Step-by-step explanation:

The hypotenuse and one leg are congruent so the reason for congruency is HL.

4 0

3 years ago

Solve the inequality below for x. -3.2(2x-1) less than or equal to 17.6

zhenek [66]

$- 3.2(2x - 1) \leqslant 17.6 \\ - 6.4x + 3.2 \leqslant 17.6 \\ - 6.4x \leqslant 14.4 \\ x \geqslant 2.25$

3 0

3 years ago