A bottle of my favourite drink contains 12% alcohol. On my doctors advice I added 20ml water
to the bottle to reduce the concentration to 10%. What was the quantity of drink in my bottle
initially?

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Remember that the equation to graph a linear graph or line is y=mx+b

m is your slope and b is your y intercept. Since your line hits the y-axis at y=1, b=1.

Answer:

perimeter = 71.4 m

Step-by-step explanation:

using the Pythagorean theorem:

CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25

CD = √342.25 = 18.5

perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m

Step-by-step explanation:

Solution given:

By using Pythagoras law

h²=p²+b²

15²=x²+9²

x²=15²-9²

x=√144=12

x=12 is your answer

Answer

Step-by-step explanation:

hope it is helpful to you

Answer:

later ill answer this .. read and understand

Answer:

b

Step-by-step explanation:

The solution for system of two equations is simply the intersection of the two functions. Hence (b) is the answer

Answer:

x² - 5x -24

Step-by-step explanation:

(x+3)(x-8) = x² - 8x + 3x -24 = x² - 5x -24

Answer:

A

Step-by-step explanation:

Answer: $1.85

Step-by-step explanation: 21.55+2.25+3.89+1.95=29.64

29.64*(.0625)=1.8525

$1.85

29.64*(1.0625)=31.4925

$31.49

$31.49-$1.85=$29.64

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

Answer:

30% ywww

Step-by-step explanation:

Answer:

1230 is how much he received for the bike

Step-by-step explanation:

Answer:

which language is it

Step-by-step explanation:

can you please put it in English

Answer:

note ;sum of two no. is not 1.

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

Answer:

length of rectangular =250m

breath =130m

perimeter of rectangular field =(130*250)

=32500m

cost of fencing a rectangular field at the rate of 30 per meter

cost of the rectangular field =32500*30  

=rupees 975000

hope it helps

Answer:n

Step-by-step explanationaa:

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

−

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

−

5

)

Focus:  

(

0

,

−

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

61

12

x

y

−

2

7

−

1

−

2

0

−

5

1

−

2

2

7

image of graph

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

Answer:

the answer is |10|

Step-by-step explanation:

absolute value is always positive

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

Answer:

a. [tex]5 \frac{21}{40} [/tex]

b. [tex] \frac{1}{42} [/tex]

Step-by-step explanation:

[tex]a. \: 12 \frac{2}{5} - 6 \frac{7}{8} [/tex]

[tex] \frac{62}{5} - \frac{55}{8} [/tex]

[tex] \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} [/tex]

[tex] \frac{62 \times 8 - 55 \times 5}{40} [/tex]

[tex] \frac{221}{40} [/tex]

[tex]5 \frac{21}{40} [/tex]

[tex]b. \: \frac{3}{14} - \frac{4}{21} [/tex]

[tex] \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} [/tex]

[tex] \frac{3 \times 3}{42} - \frac{4 \times 2}{42} [/tex]

[tex] \frac{1}{42} [/tex]

Hope it is helpful....

Answer:

(a+b) (a-b) =a^2 - b^2

In this question a=2, b=square root of 5

So 2*2=4 square root of 5 times square root of 5 is 5

4-5=-1

Answer:

I believe the answer is -1.

Step-by-step explanation:

So I distributed,

2 x 2 = 4

[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5

4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?

the radicals cancel out and 4 -5 = -1

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

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Answer:

[tex]6 in^{2}[/tex]

Step-by-step explanation:

Ratio d area= ( Ratio d side length)²

[tex]\frac{a}{24}=(\frac{3}{6})^{2}[/tex]

[tex]a=\frac{24*9}{36} =6[/tex]

So your answer is 6 you are correct!!

[tex]----------------[/tex]

hope it helps...

have a great day!!

Answer:

5[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

GCF of 4 and 6 is 12

1/6 = 2/12

3/4 = 9/12

4 + 1 = 5

2/12 + 9/12 = 11/12

5 11/12

Answer:

Step-by-step explanation:

First you want to make the denominators in the fractions the same number. To do so, we need to multiply both the numerators and the denominators. Do this until the denominators are the same.

[tex]\frac{1}{6} *\frac{4}{4} = \frac{4}{24}[/tex]

[tex]\frac{3}{4} *\frac{6}{6} = \frac{18}{24}[/tex]

Now add

[tex]4\frac{4}{24} + 1\frac{18}{24} = 5\frac{22}{24}[/tex]

After adding, you need to multiply the whole numbers by the denominator and add that number to the numerator.

[tex]5*24=120[/tex]

[tex]\frac{120}{24} +\frac{22}{24} = \frac{142}{24}[/tex]

Finally simplify

[tex]\frac{142}{24} / \frac{2}{2} = \frac{71}{12}[/tex]

Answer:

here you go............

Step-by-step explanation:

I hope it helped

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)

The required median number of spots on giraffes in the Curran plains is 203.

A data set's median value is the place where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. To organize the data points in increasing order for a small data set, count the number of data points (n).

To find the median, we need to first sort the data points in ascending order:

174, 185, 194, 197, 203, 221, 226, 231, 236

Since there are an odd number of data points, the median is the middle value, which in this case is 203.

Therefore, the median number of spots on giraffes in the Curran plains is 203

To know more about Median visit:

brainly.com/question/1153198

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Answer:

angle=63°

I hope it's helps you

The answer is 523.334