All categories

4 years ago

3(a - 1) + 2a = a + 1

Mathematics

1 answer:

tresset_1 [31]4 years ago

7 0

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

3(a - 1) + 2a = a + 1

Step 2: Solve for a

Distribute 3: 3a - 3 + 2a = a + 1

Combine like terms: 5a - 3 = a + 1

Subtract a on both sides: 4a - 3 = 1

Add 3 on both sides: 4a = 4

Divide both sides by 4: a = 1

You might be interested in

1. Find the equation of a line that is perpendicular to y=-2/3+4 and goes through (0,5)

Dafna1 [17]

Y = 3/2 + 5
since it’s perpendicular, flip the numerator and denominator of the slope and b=5 because it’s going through the y-axis at (0,5)

7 0

3 years ago

Read 2 more answers

7x- 2y = 5 X + 2y = -7

mr Goodwill [35]

Answer:-7

Step-by-step explanation:

6 0

3 years ago

Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark s

VikaD [51]

Answer:

(a) 0.2885

(b) 0.0736

Step-by-step explanation:

The exponential distribution of Wendy's service time is given by:

P(x) = [exp (-x/μ)]/μ............................................................................ (1)

P(x) = Probability function

x = Service time, in minute

μ = average service team, in minute, 2.2 minutes

(a) x= 1, substituting into equation (1) we have:

P(1) = [exp (-1/2.2)]/2.2

= 0.6347/2.2

= 0.2885

(b) x₁ = 0.5 minutes

x₂ = 1 minute

P (0.5<x<1) = P(0.5) -P(1) ----------------------------------------------- (2)

From (a), P (1) = 0.2885

P(0.5) =P(1) = [exp (-0.5/2.2)]/2.2

= 0.7967/2.2

= 0.3621

Substituting into (2), we have :

P (0.5<x<1) = 0.3621 -0.2885

= 0.0736

= 0.1030/2.2

= 0.0468

7 0

3 years ago

What is 3 1/6 + 8 2/4 - 1 1/2

iragen [17]

Answer:

9 8/9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

Nadusha1986 [10]

Answer: $9.6\pi$

Step-by-step explanation:

Given

Curve is $y=3-3x^2$

boundary is y=0 i.e.

$\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1$

The volume of solid generated when rotated about the x-axis is

$\Rightarrow V=\int_a^b\pi y^2dx$

Putting values we get

$\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi$

8 0

3 years ago