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3 years ago

Solve 5(2x – 3) = 5x – 10 for x.

Mathematics

2 answers:

Irina-Kira [14]3 years ago

6 0

Answer:

x=1

Step-by-step explanation:

5(2x – 3) = 5x – 10

Distribute

10x -15 = 5x-10

Subtract 5x from each side

10x-15-5x = 5x-5x-10

5x -15 = -10

Add 15 to each side

5x-15+15 =-10+15

5x = 5

Divide by 5

5x/5 = 5/5

x=1

andrew11 [14]3 years ago

3 0

Answer and Step-by-step explanation:

To solve for x, first distribute the 5 to the 2x and 3.

10x - 15 = 5x - 10

Now, add 15 to both sides and subtract 5x to both sides of the equation.

5x = 5

Divide both sides of the equation by 5.

x = 1

The answer is x = 1

#teamtrees #PAW (Plant And Water)

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3 years ago

A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the

olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

$F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}$

Find:

a.Calculate the probability that 3 ≤X≤ 5

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Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

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$E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\= \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\= \frac{1}{(n)} - \frac{1}{(n+1)}\\\\= \frac{1}{(n+1)} - \frac{1}{(n+ 2)}$

E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]

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8 0

3 years ago

1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up

makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by $33\frac{1}{3}$ %

Step-by-step explanation:

1. The given is:

Dorothy bought a teddy bear and sold it at a 20% profit to Kim
Kim bought a suit costing $100 and dressed the teddy bear up in the suit
Kim then sold the teddy bear in the suit to Karen for $442
Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→ Buying price : Profit : Selling price

→ 100% : 20% : 120% ⇒ (100% + 20%)

→ x : : ?

By using cross multiplication

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→ Cost price : Profit : Selling price

→ 100% : 30% : 130% ⇒ (100% + 30%)

→ 1.2x + 100 : : 442

By using cross multiplication

∴ (1.2x + 100) × 130% = 100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

x is less than y by 25%
Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = $\frac{y-x}{x}$ × 100%

∵ The percentage of increasing of y = $\frac{100-75}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{25}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{1}{3}$ × 100%

∴ The percentage of increasing of y = $33\frac{1}{3}$ %

y is more than x by $33\frac{1}{3}$ %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

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6 0

3 years ago

Please Help. 50 points.

lara [203]

Answer:

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Step-by-step explanation:

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8 0

4 years ago

Read 2 more answers

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Anna [14]

Ur not dumb!!! i graphed the line for u here. i suggest watching some khan academy videos for extra practice!

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3 years ago