Find the solution to the system of equations.
x + y + z = 11
y + z = 12
Z= 8

Answer:

Hence the probability that she paid cash is  0.105

Step-by-step explanation:  

P(cash) = 0.3  

P(credit card ) = 0.3  

P(debit card ) = 0.4  

P ( more than $50 | cash ) = 0.2  

P (more than $50 | credit card ) =0.9  

P (more than $ 50 |debit card ) = 0.6  

P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )  

= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4  

= 0.57  

P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)  

= 0.2* 0.3 / 0.57  

= 0.105

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

Answer:

There are two points of intersection

(-4,1) and (1,-4)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

You may need to delete the dollar sign and/or the comma when typing in the answer.

=======================================================

Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

Answer: 262144

Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.

262144 if I'm correct....

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles of a triangle is 180°.

  (8x -10) +(2x) +(3x -5) = 180

  13x -15 = 180

  13x = 195

  x = 15

The largest angle is ...

  8x -10 = 8(15) -10 = 110 . . . . degrees

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

same as the person above plato 2022'

Answer:

SURE

Step-by-step explanation:

Step-by-step explanation:

A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded

9514 1404 393

Answer:

  (c)  Yes, SSS

Step-by-step explanation:

The three pairs of corresponding sides have the same ratio:

  12/8 = 15/10 = 21/14 = 3/2

The triangles are similar by SSS.

_____

No angles are shown, so SAS and AAA cannot apply.

Answer:

in this case it is just multiplying the two items together

the THIRD CHOICE...

3x(x^2-5x-9)

3x^3 -15x^2 -27x

Step-by-step explanation:

Answer:

3x^3-15x^2-27x

Step-by-step explanation:

the function f (gx) means you have to substitute the function of gx in the function of fx were there's x

3x(x^2-5x-9)

3x^3-15x^2-27x

I hope this helps

Answer:

m = 20 * n

Step-by-step explanation:

The money that he earns is equal  the amount earned per lawn times the amount of lawns that he mows

m = 20 * n

Answer:

60 = 3 x 20

Step-by-step explanation:

60 = m

3 = c

20 = n

Answer:

732 samples ;

752 samples

Step-by-step explanation:

Given :

α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42

Using the relation :

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.58 * 0.42) / 0.03²

n = 0.65918769 / 0.0009

n = 732.43076

n = 732 samples

B.)

If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.5 * 0.5) / 0.03²

n = 0.67650625 / 0.0009

n = 751.67361

n = 752 samples

Answer:

4

Step-by-step explanation:

Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.

Answer:

The first difference is -5. The next term is -31.

Step-by-step explanation:

If you find the difference between -6 and -11, then you get -5.

And, all the other ones also have differences of -5, so basically, the next term is -31.

Thanks! Please mark me Brainliest!

Answer:

===================================================

Explanation:

Pick any term and subtract off the previous term

No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.

If this pattern keeps up forever, then the sequence is arithmetic.

And if the pattern keeps up, then the next term would be

term6 = term5 + (common difference)

term6 = -26 + (-5)

term6 = -31

Note: Adding -5 is the same as subtracting 5.

Its Option 2

-3°C < 1°C

Explanation:

The best possible interpretation will be the above.

To show -3 cooler we will use this sign <

Must click thanks and mark brainliest

shining dnkxdvsuxnxkjdndnx

Answer:

54

Step-by-step explanation:

They are supplementary and add to 180 so subtract 126 from 180 and you get 54

Economists found that amount of corruption in a country is correlated to the Gross domestic products of the country.

Whenever there is high corruption in a country it leads to great negative impacts on the economic growth of that country.

The equation represents the the corruption score for every dollar per capita rise.

The slope of the equation will represent the GDP per capita of a country with corruption score of zero.

The correct answer is C.

C. The GDP per capita of a country with a corruption score of zero.

Answer:

648 is the sum of consecutive prime numbers 317 and 331.

The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.

From Archimedes-lab.org I learned some powerful facts about the number 648:

16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648

48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648

(1^2)(2^3)(3^4) = 648

18² + 18²  = 648

(6^3) + (6^3) + (6^3) =648

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Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12

—————————————————————————————————

648 is a composite number.

Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)

The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.

Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27

Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+  1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five.  Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward.  When 1 is added to the next 4, the result will be 0 with 1 carried backward.  1 added to 1 = 2, all in base 5.  Figures in base 5 cannot exceed 4.  The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

Answer:

[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]

[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]

[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]

[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]

[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]

[tex]x=4\sqrt{15}[/tex]    [tex]y=4\sqrt{15}[/tex]

OAmalOHopeO

Answer:

.

e

Step-by-step explanation:

.