How much water should be added to 22 ml of 12% alcohol solution to reduce the concentration to 11%

Answer:

Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.

OR

You could just solve the math and show that they are equivalent.

The balance after a year will be represented by an expression m + 0.071m.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Answer:

42 degrees

Step-by-step explanation:

48+90=138

180-138=42

Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

x = 10/3

Step-by-step explanation:

3x = 2y + 14

y = -6x + 18

3x = 2(-6x+18) + 14

3x = -12x + 36 + 14

15x = 50

x = 50/15

x = 10/3

Answer:

10/3

Step-by-step explanation:

3x= 2y+14-------(1)

y= -6x+18------(2)

from equation (2) put y= -6x+18 into equation (1)

3x= 2(-6x+18)+14

3x= -12x+36+14

3x+12x= 50

15x= 50

dividing bothsides by 16

x = 50/15

x= 10/3

Answer:

b

Step-by-step explanation:

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

Step-by-step explanation:

that was just answered with the last question, where you asked for the help here ...

x = 50°.

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet

area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet

answer: 121.5 square feet

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

Answer:

no

Step-by-step explanation:

Answer: 15.09967ft

Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^

Answer:

1000

Step-by-step explanation:

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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Answer:

12 girls

28 boys

Step-by-step explanation:

Multiply 40 by 30/100 to get 12 girls.

Subtract 12 from 40 to get 28 boys.

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

Answer:

D Rotainon.

Step-by-step explanation:

The shape is flipped.

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees

Answer:

A) 400 + 72

Step-by-step explanation:

Let the certain number be denoted by x.

⇒ 5x = 40 [Equation 1]

⇒ 9x = 72 [Equation 2]

Multiply Equation 1 by 10 :

⇒ 10(5x) = 40(10)

⇒ 50x = 400 [Equation 3]

Finding the sum of Equation 2 and Equation 3 :

⇒ 50x + 9x = 400 + 72

⇒ 59x = 400 + 72

Hence, 59 times a certain number is represented by : 400 + 72

Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

They are given as follows, considering numbers less than 40:

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )