1. A watch with a regular price of $85.00 is now on sale with a discount of 20%. Calculate
the sale price of this watch. Describe your strategy for finding the sale price

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

\(3x + 1 < 28 \\ 3x < 28 - 1 \\ 3x < 27 \\ x < \frac{27}{3} \\ x < 9\)

Answer:

x<9

Step-by-step explanation:

Answer:

say you buy something for 10 dollars, you are going to get charged for it, but if you take item off of your shopping cart you are taking away the -10 dollars that wouldve been charged.

Step-by-step explanation:

the reason this works is because you take away something that makes it less.

- (-7) is basically just saying delete that -7. that's why - (-7) is the same as +7

Answer:

11.5 inches

Step-by-step explanation:

Just subtract the .5 inch from 12. The max of variance that it can have.

Answer:

2/3*3/3

Step-by-step explanation:

I mean its just doing 2/3 * 1 which i mean, 3/3 is still a fraction so i did it (TBH cant think of anything else

Answer: 2/3 x 1 = 2/3

technically everything 1 one will equal itself hope it helps.

Answer: 93 grams Zinc

Step-by-step explanation:

cross multiply, and solve for the variable:3(403) = 13(x)3(31) = x93 = x .

The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 32%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Since, the probability of randomly selecting someone who believes that some psychics can help solve the murder cases is P = 0.68.

\(\implies Q = 1-0.68 = 0.32\)

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve the murder cases is 32%.

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Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Complementary angels are two or more angles that have a sum of 90 degrees.

Here, we are asked to find the measure of an angle whose complementary angle has a measure of 32 degrees.

If we let x = unknown angle,

We can say that 32 + x = 90 degrees

32 + x = 90

==> subtract 32 from both sides

x = 58

The measure of the angle complementary to Martina's angle is 58 degrees.

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Answer:

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:

It should be noted that points can be identified on a graph by by stating their coordinates in the form of (x, y).

It should be noted that a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It should be noted that the points on the graph often represent the relationship between two or more things.

In this case, points are identified by stating their coordinates in the form of (x, y).

Note that the information is incomplete and an overview was given.

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the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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The sum of the squared deviations for this sample is 54.

The sum of the squared deviations represents the sum of squared differences from the mean.

s.d = √(ss/n)

where;

s.d² = ss/n

ss = s.d²  x n

ss = 3² x 6

ss = 54

Thus, the sum of the squared deviations for this sample is 54.

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Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

Slope  of the lines that pass through points (5,-8) and (-3,-4) is -1/2

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find slope  of the lines that pass through (5,-8) and (-3,-4)

Slope = -4-(-8)/-3-5

=-4+8/-8

=-4/8

=-1/2

Hence,  slope of the lines that pass through (5,-8) and (-3,-4) is -1/2

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20 = 2d -4

24 =. 2d

d = 12

a dice is thrown once, what ia the probality of getting an odd number

The range of the function y=-16t²+24t+2 is y ≤ 11.

What is the definition of a function?

A function is a mathematical relationship between a set of inputs and a set of outputs, where each input is associated with a unique output. In other words, it is a rule or process that assigns exactly one output value to each input value. The input values are typically represented by the variable x, while the output values are represented by the variable y. Functions are often written in the form y = f(x), where f is a symbol representing the function.

Now,

The given function is:

y = -16t² + 24t + 2

To find the range, we can find the vertex of the parabola. The vertex will be

t = -b/2a

where a = -16, b = 24.

Substituting the values, we get:

t = -24/(2*(-16))

t = -24/-32

t = 0.75

Substituting t = 0.75 in the given function, we get:

y = -16(0.75)² + 24(0.75) + 2

y = -9 + 18 + 2

y = 11

Therefore, the vertex of the parabola is (0.75, 11). Since the parabola opens downwards, the range is y ≤ 11. Thus, the relative range of the given function is y ≤ 11.

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The angle ABC in the cyclic quadrilateral is 87 degrees.

A cyclic quadrilateral  is a quadrilateral which has all its four vertices lying on a circle. The sum of angles in a cyclic quadrilateral is 360 degrees.

The opposite angles of a cyclic quadrilateral is supplementary.

Hence, let's find ∠ABC as follows:

Let

arc DC  = x

Therefore,

63 = 1 / 2 (x + 82)

63 = 0.5x + 41

0.5x = 63 - 41

0.5x = 22

divide both sides by 0.5

x = 22 / 0.5

x = 44

∠ABC = 1 / 2(44 + 130)

∠ABC = 174/ 2

∠ABC = 87 degrees

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It will take forty seven minute (i.e., 47 minute later) for the digits displayed next to form an arithmetic sequence again.

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers where each term is the sum of the previous term and a constant difference. It is also known as an arithmetic sequence.

At 2:58 p.m., the digits displayed on the clock are 2, 5, and 8, and they form an arithmetic sequence with a common difference of 3.

The next time the digits will form an arithmetic sequence is when the time is 3:45 p.m.

At 3:45 p.m., the digits displayed on the clock are 3, 4, and 5, and they also form an arithmetic sequence with a common difference of 1.

Therefore, it will take forty seven minute (i.e., 47 minute later) for the digits displayed next to form an arithmetic sequence again.

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Answer:

0.26

Step-by-step explanation:

There are 1 + 3 + 2 + 10 + 9 + 7 + 3 = 35 total students. Additionally, there are 9 students who work exactly 4 hours. Thus, the probability is 9/35, or 0.26 rounded to the nearest hundredth.

Answer:

26

Step-by-step explanation:

1+3+2+10+9+7+3= 35

35 divided by 4

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

54 temporary employees are there

Step-by-step explanation:

90 percent of 60 = 54

Hope this helped!

Answer:

E.

Step-by-step explanation:

not sure sorry...anyone help this

The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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Answer:

3/4     15    3

Step-by-step explanation:

To convert 0.75 to a fraction:

Divide it by 1:    \(\frac{0.75}{1}\)

Multiply both the top and bottom by 100:  \(\frac{0.75}{1}\times\frac{100}{100}=\frac{75}{100}\) (this is called a decimal fraction)

Simplify the fraction by dividing both the top and bottom by 25:

\(\frac{75\div 25}{100\div25}=\frac{3}{4}\) (this is called a common fraction)

1 cent = 0.01 = 1/100 = 1 hundredth

1 nickel is worth 5 cents = 0.05 = 5/100 = 5 hundredths

1 quarter is worth 25 cents = 0.25 = 25/100 = 25 hundredths

Therefore, to calculate how many nickels represent 0.75 (75 hundredths) divide 75 by 5:

75 ÷ 5 = 15

To calculate how many quarters represent 0.75 (75 hundredths) divide 75 by 25:

75 ÷ 25 = 3

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Step-by-step explanation:

130 = 2x

2x = 130

x = 130/2

x = 65

Answer:

9. Set of first three months of a year.

10. Set of alphabets occurring in the word “Vietnam”.

11. Set of natural numbers between 50 and 60 exclusively.

12. Set of natural numbers greater than 16 and less than 100.

13. Set of integers which are multiples of 4 and is less than 32.

14. Set of integers which are multiples of 5.

Note: 11 & 12 can be written interchangeably.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson