All categories

3 years ago

What are the solution(s) of -3(x - 1) = x - 5? O-5 and 3 O-3 O1 and 5 O 2

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3(x - 1) = x - 5

Step 2: Solve for x

Distribute -3: -3x + 3 = x - 5
Add 3x to both sides: 3 = 4x - 5
Add 5 to both sides: 8 = 4x
Divide 4 on both sides: 2 = x
Rewrite: x = 2

Step 3: Check

Plug in x to verify it's a solution.

Substitute: -3(2 - 1) = 2 - 5
Subtract: -3(1) = -3
Multiply: -3 = -3

Here we see that -3 does indeed equal -3.

∴ x = 2 is a solution of the equation.

Alexxandr [17]3 years ago

4 0

Answer:

d) 2.

Step-by-step explanation:

i just did it

You might be interested in

When i was 18 years old, my sister was half my age. Now I am 82 years. How old is my sister now?

iVinArrow [24]

Answer:

$41 \: \: \: years \: \: \: old$

Step-by-step explanation:

$me \: \: \: \: \: \: \: \: \: \: \: sis \\ 18 \: \: \: \: \: \: \: \: \: \: \: \: 9 \\ 82 \: \: \: \: \: \: \: \: \: \: \: x \\ \\ use \: \: cross \: \\ multipaction \\ \\ 18x = 82 \times 9 \\ 18x = 738 \\ \frac{18x}{18} = \frac{738}{18} \\ x = 41$

4 0

3 years ago

Read 2 more answers

Write the slope-intercept form of the equation of each line

navik [9.2K]

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

y2-y1

x2-x1

m =

2--1

1-0

m =

m = 3

Now putting value of m in equation (i)

y = 3x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

y = mx + b

-1 = 3(0) + b

-1 = 0 + b

-1 = b

b = -1

8 0

2 years ago

Read 2 more answers

1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two ca

icang [17]

Answer:

Step-by-step explanation:

From the given information,

Suppose

X represents the Desktop computer

Y represents the DVD Player

Z represents the Two Cars

Given that:

n(X)=275

n(Y)=455

n(Z)=405

n(XUY)=145

n(YUZ)=195

n(XUZ)=110

n((XUYUZ))=265

n(X ∩ Y ∩ Z) = 1000-265

n(X ∩ Y ∩ Z) = 735

n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)

145 = 275+455 - n(X ∩ Y)

n(X ∩ Y) = 585

n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)

195 = 455+405-n(Y ∩ Z)

n(Y ∩ Z) = 665

n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)

110 = 275+405-n(X ∩ Z)

n(X ∩ Z) = 570

a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)

n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735

n(X ∪ Y ∪ Z) = 50

c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)

n(X ∪ Y ∪ C') = 145-50

n(X ∪ Y ∪ C') = 95

6 0

3 years ago

If the dimensions of a rectangle with a perimeter of 12 cm are doubled, what will be

exis [7]

Step-by-step explanation:

the perimeter is the sum of the 4 individual sides.

if the sides are doubled, so is the sum of them.

therefore, the new perimeter is then

12×2 = 24 cm

3 0

2 years ago

a card is chosen from a standard deck of cards. what is the probability that the card is a queen, given that the card is a club?

Dmitrij [34]

Answer:

Probability that card is queen given that card is club is $\frac{4}{13}$

Step-by-step explanation:

Given : A card is chosen from a standard deck of cards.

To find : What is the probability that the card is a queen, given that the card is a club?

Solution : It is the conditional probability

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Let A is probability that card is queen.

Let B is the probability that card is a club.

Probability that card is queen given card is club $P(A\cap B)=\frac{4}{52}=\frac{1}{13}$

Probability that card is club from deck of 52 cards $P(B)=\frac{13}{52}=\frac{1}{4}$

To find probability that card is queen given that card is club $P(A|B)$

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

$P(A|B)=\frac{\frac{1}{13}}{\frac{1}{4}}$

$P(A|B)=\frac{1\times4}{13\times 1}=\frac{4}{13}$

Therefore, Option A is correct.

Probability that card is queen given that card is club is $\frac{4}{13}$

7 0

4 years ago

Read 2 more answers