What inequality represents the verbal expression? All real numbers less than 69.

Answers

Answer 1
Answer: Answer
x<69 (Where x represent a real number).

Explanation
An inequality in mathematics is a relationship between two numbers or expressions.
It can be ≥,≤,< or even >.
≥mean greater than or equal to.
≤means less than or equal to
<means less than
>means greater than
Now to answer the question, all real numbers less than 69.
x<69 (Where x represent a real number).

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The cost of a jacket increased from $75.00 to $87.75. What is the percentage increase of the cost of the jacket?

Answers

1) we have to calculate the increase of the cost of the jacket.
Increase of the cost of the jacket=new price - previous price
increase of the cost of the jacket=$87.75 - $75.00=$12.75

2)Now, we calculate the percentaje incresae of the costo of the jacket by the rule of three.
$75=100%

$75------------------100%
$12.75-------------      x

x=($12.75 * 100%) / $75=17%

Answer: the percentage increase of the cost of the jacket is 17%

Compare 1/2 with 3/4 using < > =?

Answers

1/2<3/4
.......................

Answer: Is 1/2 greater than 3/4

Step-by-step explanation: Therefore, 3/4 is greater than 1/2 and the answer to the question "Is 3/4 least than 1/2?" is yes. Note: When comparing fractions such as 3/4 and 1/2, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

clara has £7. she buys some chocolate bars at 63p each and has 7p left over. how many chocolate bars did she buy?

Answers

Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.

The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.

After buying the chocolate bars, Clara has 7p left over.

Now we can write the equation:

Total money spent on chocolate bars + Money left over = Total money Clara has initially

63x + 7 = 700 (Since £7 is equivalent to 700p)

Now, let's solve for x:

63x = 700 - 7

63x = 693

x = 693 / 63

x = 11

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Answer:

11 bars

Step-by-step explanation:

There were 15 cars and 25 trucks in the parking garage. what is the ratio of cars to total vehicles

Answers

15:25 = 3:5
simply divide 15 and 25 both by 5 to get 3:5.

What type of solutions do the methods for solving systems of equations find and how does this relate to setting the equations equal to each other?

Answers

A system of equations is a set of two or more equations that share two or more unknowns. The solutions to a system of equations are all the values that make all of the equations true, or the points where the graphs of the equations intersect. We can solve a system of linear equations through graphing, substitution and linear combination. Systems of nonlinear functions, such as quadratic or exponential equations, can be handled with the same techniques.

Final answer:

Methods to solve systems of equations typically find the values of variables that satisfy all equations in the system, relating this to setting equations equal to each other. Common methods include substitution, elimination, and graphing for linear equations, and factoring, using the quadratic formula, or completing the square for quadratic functions.

Explanation:

Methods for solving systems of equations often result in finding the values of variables that satisfy all equations in the system simultaneously. This is directly related to setting the equations equal to each other because when we equate two or more equations, we are essentially looking for their common solutions or intersection points. For instance, consider two equations y = b + mx and y = ax^2 + bx + c, linear and quadratic respectively. In order to ascertain their intersection points or common solutions, you would have to set them equal to each other, thus leading to a new equation, ax^2 + bx + c = b + mx.

The process of solving systems of equations underlies various natural phenomena and engineering processes; knowing the methods to handle these equations is crucial. For linear equations, common methods include substitution, elimination, and graphing. For quadratic functions, solutions can often be found using factoring, using the quadratic formula, or, if necessary, completing the square.

In the context of real-world applications, understanding how systems of equations function can play a part in everything from kinematic problem-solving to interpreting rates of change in scientific or technological processes. Such knowledge, then, is indispensable to anyone seeking to manage these processes effectively.

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How much is 48 from 12,5%

Answers

Answer:

6, but the question makes more sense when asking about 12.5% from 48

Step-by-step explanation:

to get a percentage of something, we just have to remember that X\% = (X)/(100) and that we just need to multiply.

Yes, percentages are just numbers, but the percentage sign lets us signify the purpose of a number.

48 * 12.5% = 48 * 0.125 = 48 / 8 = 6