which of the following steps were applied to abc obtain a'b'c'

The percentages can also be represented in decimal or fraction form. In academics the marks obtained in any subject are calculated in terms of the percentage. Here 30% of 150 is 45.

In mathematics, the percentage is defined as a number or ratio which can be expressed as a fraction of 100. If we have to calculate the percentage of a number, divide the number by the whole and it should be multiplied by 100.

So percentage means a part per hundred. The word percent means per 100. It is represented by the symbol %. For example 10% is equal to 1/10 fraction. Percentage have no dimension.

The formula used to calculate the percentage is:

Percentage = Value / Total value × 100

30% of 150 is:

150 × 30 /100 = 45

Thus 30% of 150 is 45.

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The value of the P (1.23 < z < 3.24)  is 0.49 after using the Z table and concept of the probability.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

P (1.23 < z < 3.24)

As we know, from the normal distribution, It's the probability curve of a continuous distribution that's most likely symmetric around the mean.

On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

From the Z curve:

P (1.23 < z < 3.24) = 0.49

Thus, the value of the P (1.23 < z < 3.24)  is 0.49 after using the Z table and concept of the probability.

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Based on the price offered per company, we can infer that the cheaper company is Company B.

The cheaper company is the one that is selling a pound of chocolate for a lower price than the other company.

First convert the mixed fractions to decimals for easier calculation:

Company A = 2 ¹/₂ = 2.5 pounds

Company B = 2 ³/₄ = 2 + (3/4) = 2.75 pounds

The cost per pound is:

= Cost of chocolate / Number of pounds

Company A:                                                         Company B:

= 32.50 / 2.5                                                         = 35 / 2.75

= $13 per pound                                                   = $12.73

In conclusion, Company B is cheaper for selling at $12.73.

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Answer:

Therefore. The correct option is B. Divide the diameter by 2.

Step-by-step explanation:

Diameter of the circle : It is defined a line segment joining two points on the circumference of circles provided the segment passes through the center of the circle.

Radius of the circle : It is defined as a line segment joining any point on the circle to the center of the circle.

So, it can be illustrated that the radius is half of the diameter of the circle.

If we are given the diameter of the circle and we need to find the radius of the circle.

So, we will divide the given diameter of the circle by 2 to obtain the required radius of the circle.

Therefore. The correct option is B. Divide the diameter by 2.

3+2 = 5

4+1 = 5

5+0 = 5

6-1 =5

 so answer would be C. y=5-n

check:

5-3 = 2

5-4 =1

5-5 =0

5-6 = -1

subtract base pay ( $80) from total pay

132-80 = 52

divide 52 by 10% for total sales = 52/0.1 = 520

his sales were $520

Answer:

Sales amount is $520 .

Step-by-step explanation:

Let us assume that the sales amount be x .

As given

Thomas earned $80 plus 10% of his sales for a net of $132.

10% is written in the decimal form

[tex]= \frac{10}{100}[/tex]

= 0.10

Thus

Total Earned amount =  Earned amount + 0.10 × Sales amount

Put all the values in the above

132 = 80 + 0.10 × x

132 - 80 = 0.10x

52 = 0.10x

[tex]x = \frac{52}{0.10}[/tex]

x = $520

Therefore the sales amount is $520 .

To find two numbers whose GCF is 8 but neither is 8, choose multiples of 8 that are not equal to 8 itself.

To find two numbers whose GCF is 8 and neither of which is 8, we need to find two numbers that have 8 as their largest common factor.

The easiest way to do this is to select a number that is a multiple of 8, such as 16, and then choose another number that is also a multiple of 8, but not equal to 8 itself, such as 24.

So, the two numbers whose GCF is 8 and neither of which is 8 are 16 and 24.

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using the given formula, fill in the numbers where they belong

perimeter = 288

 width = 50

so Pr = 2l + 2w becomes

288 = 2l +2(50)

288 = 2l +100

subtract 100 from each side

188 =2l

 divide both sides by 2

 l = 188 /2

l = 94

 length = 94 feet

Answer:

[tex]3.458\times10^{17}[/tex] kg

Step-by-step explanation:

It has been given that in 1 liter of seawater, the amount of dissolved salt is [tex]3.5\times10^{-2}[/tex]kg

Let x kg of salt is dissolved in [tex]9.88\times10^{18}[/tex] liters of seawater.

Thus, we have

[tex]\frac{1}{3.5\times10^{-2}}=\frac{9.88\times10^{18}}{x}[/tex]

On cross multiplying, we get

[tex]x=3.5\times10^{-2}\times9.88\times10^{18}\\\\x=34.58\times10^{16}[/tex]

In scientific notation,

[tex]x=3.458\times10^{17}[/tex]

Thus, [tex]3.458\times10^{17}[/tex] kg of salt is dissolved.

Mathematically, the absolute value of a number is always non-negative, which means it can never be equal to a negative number. Hence, there's no possible value for 'a' in the equation |a| = -6, making the correct answer Ø.

To solve |a| = -6, it’s important to understand the concept of absolute values. The absolute value of a number is its distance from zero on the number line. Therefore, it's always non-negative, because distances cannot be negative. Thus, there are no values of 'a' that would make |a| = -6, because absolute values cannot be negative.

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The solution to the given inequality expression is -1 and 2/3.

To solve the equation |2z - 3| = 4z - 1, we need to consider two cases: one where the expression inside the absolute value is positive and another where it is negative. Remember that the absolute value of a number is always non-negative.

Case 1: (2z - 3) is non-negative (greater than or equal to zero).

In this case, |2z - 3| = 2z - 3. So we have:

2z - 3 = 4z - 1

Now, let's solve for 'z':

2z - 4z = -1 + 3

-2z = 2

z = 2 / -2

z = -1

Case 2: (2z - 3) is negative (less than zero).

In this case, |2z - 3| = -(2z - 3) = -2z + 3. So we have:

-2z + 3 = 4z - 1

Now, let's solve for 'z':

-2z - 4z = -1 - 3

-6z = -4

z = -4/-6

z = 2/3

Therefore, we have two possible solutions: z = -1 and z = 2/3.

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Answer:

She made a profit of $ 2 on each share of stock

Step-by-step explanation:

Elly buys 75 shares of stock in a mutual fund for a total investment of $450.

cost of 1 share of stock= $ 450/75

                                   =  $ 6

She sells 50 shares of her stock for total proceeds of $400.

selling price of 1 share of stock=$ 400/50

                                                 = $ 8

Hence, She made a profit of $ 2 on each share of stock   ($8-$6=$2)

Answer: $5

Step-by-step explanation:

Let x be the least charge for each video game.

Given : Total games for sale =23

The required minimum amount needed to raise by selling video games =$100

Then the required inequality:

Total games × x ≥  Required minimum amount

i.e. [tex]23x\geq100[/tex]

Divide 23 from both sides , we get

[tex]x\geq 4.34782608696\approx5[/tex]

Hence, Bo should Charge $5 for each game in order to raise 100$.

Final answer:

For an incompressible steady flow with u and w components as [tex]x^{3} +2z^{2}[/tex] and [tex]y^{3}-2yz[/tex], respectively, the v component of the velocity that satisfies continuity is of the form [tex]v(x,y,z)=y^{2}-3x^{2y}+f(x,z)[/tex], where f(x, z) is an arbitrary function of x and z.

Explanation:

The question is asking for the most general form of the third component v(x, y, z) of a velocity vector field that satisfies the continuity equation for an incompressible steady flow. Given that the u and w components of the velocity are

u = [tex]x^{3} +2z^{2}[/tex] and

w = [tex]y^{3}-2yz[/tex],

respectively, we can use the continuity equation for incompressible flow, which is

∇ ⋅ β = 0,

or written out,

∂u/∂x + ∂v/∂y + ∂w/∂z = 0.

By substituting the given components into the continuity equation, and taking the respective partial derivatives, we get:

∂u/∂x = [tex]3x^{2}[/tex],

∂w/∂z = -2y,

So, the continuity equation becomes: [tex]3x^{2}[/tex] + ∂v/∂y - 2y = 0.

Rearranging terms we get: ∂v/∂y = 2y - [tex]3x^{2}[/tex]

Integrating with respect to y, we find that v must generally be of the form: [tex]v(x,y,z)=y^{2}-3x^{2y}+f(x,z)[/tex], where f(x, z) is an arbitrary function of x and z since the partial derivative with respect to y of any function that does not contain y will be zero, preserving the continuity.

The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5c + 2a − b

The value of the expression 5c + 2a − b at a = 5, b = 11, and c = 3 will be given as,

⇒ 5c + 2a − b

⇒ 5 x 3 + 2 x 5 − 11

Simplify the expression, then we have

⇒ 5 x 3 + 2 x 5 − 11

⇒ 15 + 10 − 11

⇒ 25 − 11

⇒ 14

The worth of the articulation 5c + 2a − b at a = 5, b = 11, and c = 3 will be 14.

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Answer:

Step-by-step explanation:

Alright, let get started.

The given equation is : [tex]x^2-1x-90=0[/tex]

This is a quadratic equation.

The standard form of a quadratic equation is : [tex]AX^2+BX+C=0[/tex]

Comparing the given equation with standard one, the values of A ,B and C are :

A is 1

B is -1

C is -90

Since a and b are the roots of the equation, so the formula for sum of roots a+b will be = [tex]\frac{-B}{A}[/tex]

a+b=[tex]-\frac{-1}{1} =1[/tex]

hence a+b will be 1   :   Answer

Hope it will help :)