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Alja [10]
3 years ago
8

Show an equation and a solution. How much pure antifreeze must be added to 12 L of a 40% solution to obtain a 60% solution. (Rem

ember that pure antifreeze is 100% = 1.)
Mathematics
1 answer:
erastova [34]3 years ago
5 0
6 litres because ...
12/40 = 1 ratio them x 60 for 60% which is 18 and since you have 12l already just do 18-12 = 6
You might be interested in
A number cube with faces labeled 1 to 6 is rolled once.
Zepler [3.9K]

Answer:

a)  A ∪ B = {2, 4, 5, 6}

b)  A ∩ B = {6}

c)  \sf B^c = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.

The listing method of <u>set notation</u> simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

  • A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

<u>Event A</u>

The number rolled is <u>greater than 4</u>.

Therefore, the set of outcomes for event A is {5, 6}.

<u>Event B</u>

The number rolled is <u>even</u>.

Therefore, the set of outcomes for event B is {2, 4, 6}.

<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

<u>Part (b)</u>

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {6}

<u>Part (c)</u>

The complement of event B means everything that is not in B.

\sf \implies B^c =<em> </em>{1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

4 0
1 year ago
Which number is greater 20% or 0.02
mylen [45]
To compare these two values, we need them to be in the same form.  

To convert 20% into a decimal, we divide 20/100, or 0.20.  

When comparing decimals, we know that 0.2 > 0.02. 

Therefore, 20% > 0.02.  (20% is greater than 0.02)
3 0
3 years ago
Read 2 more answers
Each exterior angle in a regular polygon has a measure of 24 degrees. How many sides does the polygon have? Please you can help
lara31 [8.8K]

Answer:

15

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Given the measure of each = 24°, then

number of sides = 360° ÷ 24° = 15

4 0
2 years ago
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0
3 years ago
What is the value of x?<br> A:3.6<br> B:5.8<br> C:11.5<br> D:14.3
nignag [31]
I is C because you use the pythag theorem
8 0
3 years ago
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