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Scrat [10]
2 years ago
12

Solve the equation for x. 0=1/3x-2

Mathematics
1 answer:
Serjik [45]2 years ago
8 0

Answer:

0=1/3x−2

Rewrite the equation as 1/3x−2=0.

1/3x−2=0 Combine 13 and x.

x/3−2=0

Add 2 to both sides of the equation.

x/3=2 Multiply both sides of the equation by 3.

3⋅x/3=3⋅2

Simplify both sides of the equation.

x=6

Step-by-step explanation:

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Sladkaya [172]

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3 0
3 years ago
There are 3 types of sweets in a jar.
KengaRu [80]

Answer:

\frac{2}{3}

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs = 2x + 6=2(x+3)

Number of mints = x

Therefore, total number of sweets in the jar is,

S=3+2x+6+x=3x+9=3(x+3)

Now, probability of selecting a sweet to be humbug is given as:

P(humbug)=\frac{\textrm{number of humbugs}}{\textrm{number of sweets}}\\P(humbug)=\frac{2(x+3)}{3(x+3)}=\frac{2}{3}

Therefore, the probability that it is a humbug is \frac{2}{3}.

7 0
3 years ago
Bob discovers a box with 30 identical, used, rechargeable batteries in his attic.
monitta

Answer:

a) All of them are out of charge = 9.31x10⁻¹⁰

b) 20% of them are out of charge = 5.529x10⁻⁴

Step-by-step explanation:

This problem can be modeled as a binomial distribution since

There are n repeated trials and all of them are independent of each other.

There are only two possibilities: battery is out of charge and battery is not out of charge.

The probability of success does not change with trial to trial.

Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50

P = 0.50

1 - P = 0.50

a) All of them are out of charge?

Probability = nCx * P^x * (1 - P)^n-x

Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰

Probability = 9.31x10⁻¹⁰

b) 20% of them are out of charge?

0.20*30 = 6 batteries are out of charge

Probability =₃₀C₆(0.50)²⁴(0.50)⁶

Probability = 5.529x10⁻⁴

5 0
3 years ago
What is the amount of sales tax owed on a 550 dollar laptop computer if the tax rate is 15% ?
ryzh [129]
Convert 15% into a decimal. (0.15) Then multiply that by 550.
3 0
3 years ago
Read 2 more answers
Solve for x using the given diagram
blagie [28]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

\dfrac{8x}{10}=\dfrac{4}{5x}              <em>cross multiply</em>

(8x)(5x)=(4)(10)

40x^2=40           <em>divide both sides by 40</em>

x^2=1\to x=\sqrt1\\\\x=1

7 0
3 years ago
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