How much pure alcohol must a pharmacist add to 10^3 of a 10% alchohol solution to strengthen it to a 70% solution? (ASAP)

Answer: 20% of 160 is 32.

Step-by-step explanation:

The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.

To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.

Let us now find the 20% of 160.

20% = 0.2

percentage = 160 × 0.2

= 32

The number of adult and children in the group is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

There were a total of 28 people, hence:

x + y = 28

y = 28 - x.

They spent a total of $308, hence:

15x + 8y = 308.

Replacing the second equation into the first, the value of x is given as follows:

15x + 8(28 - x) = 308

7x = 84

x = 84/7

x = 12.

Then the value of y is given as follows:

y = 28 - x = 28 - 12 = 16.

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Step-by-step explanation:

Zeros is another term for X intercepts.

We'd right the simplest form as (x-/+a), a being the zero

Just remember when you do that, change the signs. It shows -2, +2, +3. That becomes +2, -2, -3

Following that simple form, we get

[tex](x + 2)(x - 2)(x - 3)[/tex]

Step-by-step explanation:

a. £5,37

b.£2,07

c.£15,70

Answer:

The question is incomplete

Answer:

It was 1/3 before

Step-by-step explanation:

In the division example at the right A and B represent different digits. The sum of A and B if the remainder is zero is 8.

This is one of the four basic mathematical operations and it is the process of splitting a number or an amount into equal parts.

The table shows all possible answers for A÷B with no remainder when digits from 1-9 for A and B are considered.

Since A is not equal to B such as  A=6, B=2, divides it with no remainder. Therefore the sum of A and B is 8, so the cell (6,2) contains 8.

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Answer:

6x - 5y

Step-by-step explanation:

( remove the unnecessary parentheses)

= 5x + 5y + x - 10y

= 6x + 5y - 10y

= 6x + 5y

From the given trapezoid the value of the x is 1.

What is the trapezoid?

The sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.

We have,

Since a Trapizode has 360 Degrees total and since the sides are equal we can say that

180 = 66 + ∠R

∠R = 180 - 66

∠R = 114

so,

180 = 66 + (-2 + 116x)

180 = 66 - 2 + 116x

180 = 64 + 116x

180 - 64 = 116x

116 = 116x

x = 1

Therefore, from the given trapezoid the value of the x is 1.

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Answer:

That's not math. Please classify your question correctly.

Answer:

Step-by-step explanation:

Here is a step-by-step explanation of the independence of the pair of events of choosing a number between 1000 and 5000 and flipping a coin:

Understanding the definition of independent events: Independent events are events that have no influence on each other. The outcome of one event does not affect the outcome of the other.

Event 1: Choose a number between 1000 and 5000: This event involves randomly selecting a number within the specified range.

Event 2: Flip a coin: This event involves flipping a coin and observing whether it lands on heads or tails.

Check for influence: To determine whether the events are independent, we need to check if the outcome of one event affects the outcome of the other. In this case, the outcome of the coin flip has no effect on the number you choose, and your choice of number has no effect on the outcome of the coin flip.

Conclusion: Since the outcome of one event does not affect the outcome of the other, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are considered independent.

So, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are independent events.

1. The plane travelled a distance of 471.239 ft

2. The plane would travel further by 6283.185 ft

What is circumference?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

If you move along a full circle of a radius 'r', the distance covered by you is equal to [tex]2\pi r[/tex]

Part 1:

Given that, Jack's aeroplane travels in a circle of a cord of length 15ft for 5 times

The total distance travelled by plane is [tex]15*2\pi *15[/tex]

[tex]=150\pi[/tex]

= 471.239 ft

Part 2:

Given that, Jack flew his aeroplane 100 times with a cord of 50 ft.

The total distance covered by the plane is 100 * (2*50*[tex]\pi[/tex])

If he increases the length by 10 ft, The cord will now be 60 ft.

The total distance it would cover then is 100 * (2*60*[tex]\pi[/tex])

Now,

100 * (2*60*[tex]\pi[/tex]) - 100 * (2*50*[tex]\pi[/tex])

= 100 * (2*(60-50))*[tex]\pi[/tex])

= 100 * 2 * 10 * [tex]\pi[/tex]

= 2000 * [tex]\pi[/tex]

= 6283.185 ft

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Answer:

  1/(ab) if a ≠ 0, b ≠ 0, and (a+b) ≠ 0

Step-by-step explanation:

You want the simplified form of 1/(a²+ab) +1/(ab+b²) and any applicable conditions.

The expression is simplified by writing it over a common denominator and cancelling any common terms from numerator and denominator.

  [tex]\dfrac{1}{a^2+ab}+\dfrac{1}{ab+b^2}=\dfrac{1}{a^2+ab}\cdot\dfrac{b}{b}+\dfrac{1}{ab+b^2}\cdot\dfrac{a}{a}=\dfrac{b+a}{a^2b+ab^2}\\\\=\dfrac{a+b}{ab(a+b)}=\boxed{\dfrac{1}{ab}\quad a\ne0,b\ne0,(a+b)\ne0}[/tex]

The given conditions ensure the denominator(s) will not be zero.

The capacity of the trophy that us 30 cm high is 0.4286 liter

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

7 cm height cup holds 100 ml. Therefore:

7 cm = 100 ml

For a 30 cm height trophy:

30 cm = 30 cm * 100 ml per 7 cm = 428.57 ml

1000 ml = 1 l

428.57 ml = 428.57 ml * 1 liter per 1000 ml = 0.4286 liter

The capacity of the trophy is 0.4286 liter

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The coefficients in the expression "9x - 2 + 16x + 8 - x + 10" are the numerical values that multiply the variables. In this expression, the coefficients are 9, -2, 16, 8, -1, and 10.

So, the expression can be written as:

9x + 16x - x + 10 = 24x + 10

where 9, -2, 16, 8, -1, and 10 are the coefficients of the expression.

Answer:

The coefficients in this expression would be 10, -2, 8, -1, 10, 9, 16

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

10

Step-by-step explanation:

a² + b² = c²

8² + 6² = c²

64 + 36 = c²

100 = c²

c = 10

The equation will be;

c = 20 + 4x

Linear equations are equations of the first order. When a linear equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can also have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line.

A linear equation that will find the cost c to have a name containing x letters will be;

c = $20 + 4x

where c = cost

$20 = basic fee

x = number of letters

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Answer: 2 hours babysitting

Step-by-step explanation:

18 x 9 = 162

180-162= 18

meaning he'd have to work 2 hours babysitting to get to meet his requirement.

hours used = 11

hours left= 3

The longest border of the Mann's park is 228.6 meter.

The Triangle Inequality It is a basic principle of geometry that the lengths of any two sides of a triangle must add up to more than the length of the third side. In other words, the longest side of any triangle must be shorter than the total length of the other two sides.

In this case, the shortest side of Mann Park measures 5 inches, and the two longer sides measure 7 inches and 9 inches.

So, the sum of the lengths of the two longer sides is:

' 7 inches + 9 inches = 16 inches.

Since 5 inches is less than 16 inches, we know that the 5-inch side is the shortest side, and the 9-inch side is the longest side.

One inch is approximately equal to 0.0254 meters, so we have:

= 9 inches x 0.0254 meters/inch

= 0.2286 meters

Since the shortest side is 1000 meters long, the longest side is:

= 1000 meters x 0.2286 meters/inch

= 228.6 meters long.

Therefore, the longest border of Mann Park is approximately 228.6 meters long.

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Answer:

no

Step-by-step explanation:

squares sides are  all equal

rectangle only have 2 side alike

Answer:

r = 5

Step-by-step explanation:

25 - 3r = 10 ( subtract 25 from both sides )

- 3r = - 15 ( divide both sides by - 3 )

r = 5

the solution from the replacement set is 5

now, we're making the assumption we're simply doing an identity proof, so

[tex]sec(\theta )-tan(\theta )sin(\theta )=\cfrac{1}{sec(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE 1st step} }{\cfrac{1}{cos(\theta )}-\cfrac{sin(\theta )}{cos(\theta )}\cdot sin(\theta )}\implies \cfrac{1}{cos(\theta )}-\cfrac{sin^2(\theta )}{cos(\theta )}\implies \cfrac{1-sin^2(\theta )}{cos(\theta )}\implies \cfrac{cos^2(\theta )}{cos(\theta )} \\\\\\ cos(\theta )\implies \cfrac{1}{sec(\theta )}[/tex]

Answer:

Step-by-step explanation:

To find the percent of the people who attended the Baybridge Middle School Winter Formal who are not students at Baybridge, we can use the following steps:

Find the fraction of non-student attendees: 18 attendees out of 90 total attendees can be represented as 18/90.

Convert the fraction to a decimal: 18/90 = 0.20, which can be rounded to 0.2.

Convert the decimal to a percentage: 0.2 * 100 = 20%.

So, 20% of the people who attended the Baybridge Middle School Winter Formal are not students at Baybridge.

Answer:

Step-by-step explanation:

We can use algebra to solve for the unknown number. Let's call the number "x".

The equation can be written as:

9 + x * (-7) = -19

Expanding the product on the left side:

9 + -7x = -19

Subtracting 9 from both sides:

-7x = -28

Dividing both sides by -7:

x = 4

So the number x is 4.

The most appropriate viewing range for the quadratic function is given as follows:

The quadratic function for this problem is defined as follows:

f(x) = x² - 11x + 18.

The function can be factored as follows:

f(x) = (x - 2)(x - 9).

Hence the roots are:

Meaning that the viewing range should include x = 2 and x = 9.

The coefficients of the function are:

a = 1, b = -11, c = 18.

Hence the x-coordinate of the vertex is of:

x = -b/2a

x = 11/2

x = 5.5.

Hence the minimum value of the function is the y-coordinate of the vertex, given as follows:

y = 5.5² - 11(5.5) + 18

y = -12.25.

Meaning that Ymin should be less than -12.25.

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Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

A figure that totally resides in one plane is referred to as a plane figure or a two-dimensional figure. Two-dimensional figures are drawn when you sketch, whether by hand or with a computer programme. Two-dimensional models of actual objects can be found in blueprints.

Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

Circles, triangles, squares, rectangles, pentagons, quadrilaterals, hexagons, octagons, and other basic 2D shapes include these. All shapes—aside from the circle—are categorized as polygons because they have sides. Regular polygons are those with equal sides and angles on all of their faces.

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Using logarithm expressing log b100 in terms of x and y is logb100 = 2y + x

The logarithm of a number x to base a written as logₐy is such that when a is raised to the power of x,it equals y.

Since

We desire to express logb100 in terms of x and y.

So, we proceed as follows.

We have logb100, re-writing this, we have

logb100 = logb(25 × 2)

Now, applying the addition law of logarithm which states that

logab = loga + logb.

So, we have that

logb100 = logb(25 × 2)

logb100 = logb25 + logb2

= logb5² + logb2

Now applying the power rule of logarithm which states that logaⁿ = nloga

So,

logb100 = logb5² + logb2

= 2logb5 + logb2

= 2y + x

So, logb100 = 2y + x

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Answer:

a) $4096 b) $1884,8 ■■ im not 100% sure

Step-by-step explanation:

a) 3200×0.064×2=$4096 in intrest

b) 12,400×0.076×2=$1884,8 in intrest

Answer:

Step-by-step explanation:

B

The total area of the figure is 258cm². Thus, option 3 is corect.

Given:

shorter side: 18 centimeters

perpendicular height : 4 centimeters

portion from a point to a vertical line created by two vertices : 3centimeters

height : 12 centimeters

from figure we know that,  it is the vertex's height as well as the length of the sides to multiply together and we also have to divide since there is 5 sides

So , after multiplying the vertex height and sides and dividing it by the 5 , we get 258 cm²

Hence , the total area of the figure is 258cm².

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