the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]

[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

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Answer:

51200

Step-by-step explanation:

64000×80%=51200

[tex]\huge\mathfrak{question}[/tex]

they are sixty four thousand people at a football game 80% of the people were supporting the home team how many people were supporting the home team

[tex] \huge \mathfrak step \: by \: step[/tex]

First we will look for how much 80% of 64,000 is.

Lets put our equation

[tex]64000 \times 80 \div 100[/tex]

solve it and we get

[tex]{{\boxed{{51200}}}}}[/tex]

as our answer

Equivalent expressions are simply expressions that have the same value, irrespective of their form.

The equivalent expression of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]

The expression is given as:

[tex]\mathbf{6x(3x + 11)}[/tex]

Start by opening the brackets; i.e. apply distributive property

[tex]\mathbf{6x(3x + 11) = 6x \times 3x + 6x \tiimes 11}[/tex]

Evaluate all products

[tex]\mathbf{6x(3x + 11) = 18x^2 + 66x}[/tex]

The expression cannot be further simplified.

Hence, the equivalent of [tex]\mathbf{6x(3x + 11)}[/tex] is [tex]\mathbf{18x^2 + 66x}[/tex]

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2 + x = -19 <=> x = -19 -2 = -21

Answer:

38 black and white rolls.

Step-by-step explanation:

15 rolls = 10 black and white

57 rolls = 57 divided by 15 multiplied by 10

57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

it will take him 27 years

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

Answer:

(6,0) (-6,0)

Step-by-step explanation:

sorry kung mali pero sana makahelp

Answer:

use these formulas to solve

Step-by-step explanation:

Principal( P) = interest / rate x time

Rate (R) = intrest / principal x time

Intrest (I) = PRT

Answer:

3x+y-10

Step-by-step explanation:

please Mark my answer in brainlist

Answer:

Step-by-step explanation:

If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Answer:

m = 410

Step-by-step explanation:

Let the number be n.  Then:

 8.2

--------- = 0.02

    n

Cross-multiplying yields 0.02n = 8.2, from which we find n = 410

Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as

2%

-------- = 0.02

100%

Answer:

11z/4+3/10

Step-by-step explanation:

Distribute first then combine like terms.

Answer:

Step-by-step explanation:

let x be the number of ADDITIONAL throws

(12 + x) / (15 + x) = 0.85

12 + x = 0.85(15 + x)

12 + x = 12.75 + 0.85x

0.15x = 0.75

x = 5 more successful consecutive throws. or 17 out of 20

Answer:

Which grade math is this? I haven't learned it

Answer: c 17

Step-by-step explanation:

Easy

Answer:

C. $17

Step-by-step explanation:

85 x (1/5) = 17

Answer:

x=7

Step-by-step explanation:

5(x - 3) = x + 13

Distribute the 5

5x-15 = x+13

Subtract x from each side

5x-15-x = x+13-x

4x-15 =13

Add 15 to each side

4x-15+15 = 13+15

4x= 28

Divide each side by 4

4x/4 = 28/4

x = 7

Answer:

x = 7

Step-by-step explanation:

First

5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.

Then

5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.

Afterwards

5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.

Finally

4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.

Answer:

350 hamburgers

Step-by-step explanation:

Let x = the number of hamburgers sold

Let x - 53 = the number of cheeseburgers sold

x + x - 53 = 647

2x = 700

x = 350 hamburgers

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

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OPTION C

if any doubt leave a comment

Step-by-step explanation:

remember, a negative exponent means 1/...

like 5^-3 = 1/5³

once you understand this, it is totally easy to find the right answer : the third option p³/n⁶

because n has a negative exponent, p has a positive one.

Answer:

Step-by-step explanation:

o What proportion of normal distribution corresponds to z-scores < z = 1.00? o What is the probability of selecting a z-score less than z = 1.00? (A). (B). (C).

Answer:

5. b and 6. c

Step-by-step explanation:

Answer:

5. b

6. c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

70000 is 100 times greater than 700  

Answer:

It's the 3rd option

Step-by-step explanation:

A function cannot have one value of 5 associated to more than one value on y

Answer:

c

Step-by-step explanation:

x=slope

y=intercept

The slope is put in front of the x and then you would add the y intercept.

Answer: c. y = -3x + 4

Answer: ???

Step-by-step explanation:

Answer:

70x = 35

100

cross multiply

70x= 35 × 100

70x= 3500

divide both side by 70

70x = 3500

70 70

x= 50miles