Replace the star astrict (*) with a digit that allows you to reduce the fraction. If there are two * in the same fraction, replace them with the same digit. Find all possible values of * in each fraction. This is the one that I got stumped in...
12*/23* This is a fraction. Fill it in. Remember, you have to fill it in, so it can get reduced.
Please answer by 3:00PM Pacific time Sunday november 6th 2022

The equation used to solve this problem is x + y + z = 100000,  0.04x + 0.06y + 0.08z = 6700 and y = z

An equation is an expression showing the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 4% (short term), y represent the amount of money invested at 6% (intermediate term) and z represent the amount of money invested at 8% (long term)

Since an investor has $100,000 to invest, hence:

x + y + z = 100000    (1)

Also, the investor wishes to have a return of $6700, hence:

0.04x + 0.06y + 0.08z = 6700   (2)

Equal amounts invested in intermediate and long term bonds. This gives:

y = z     (3)

The third equation used to solve this problem is y = z

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Answer:

3

Step-by-step explanation:

9-2/3x=7

We know that 9-2=7 so 2/3x must be 2

2/3x=2

You have to multiply each side by 3/2

x=3

The number is 3

When Niecy combines the fruit she will have a total of Start Fraction 12 over 14 End Fraction

information form the question

Niecy has Nine-fourteenths of a cup of pears

Three-fourteenths of a cup of mangos

The problem is faced with addition of fractions

writing out the fractions in figures gives

Niecy has Nine-fourteenths of a cup of pears = 9 / 14

Three-fourteenths of a cup of mangos = 3 / 14

Addition of the fraction is done as follows

= 9 / 14 + 3 / 14

=  (9 + 3) / 14

= 12 / 14

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Step-by-step explanation:

Range = Highest number - Lowest number

= 23 - 4

= 19

The slope of the linear equation is 0, and the solution of the second equation is x = 10.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

So if the line passes through (-12, 6) and (4, 6), the slope is:

slope = (6 - 6)/(4 + 12) = 0

The slope is 0.

2) How to solve the equation for x?

Here we have the equation:

2/8 = 3/(x + 2)

If we move the denominators we get:

2*(x + 2) = 3*8

2x + 4 = 24

2x = 24 - 4

2x = 20

x = 20/2 = 10

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The point that preserves the function is (0, 9), so the correct option is D.

A function is a relationship that maps elements from a set (domain) into another set (range).

Such that each element in the domain is mapped into only one element of the range.

In the graph of the function we can see the points:

(-7, 4)

(-3, -3)

(2, 9)

(3, -8)

(5, 7)

(9, 3)

So the inputs {-7, -3, 2, 3, 5, 9} are already used and we can't use them anymore, the correct option then is:

D (0, 9)

Which has the only input that is not already graphed on the function's graph.

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A sampling distribution of the sample proportion with n=15 and p=0. 65 is stimulated here when The probability of tails of a weighted coin is 0. 65. The number of tails is noted each of the 15 times the coin is tossed.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

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The distance between -2 and 3 on a number line is 5 units.

What is a number line?

A horizontal line with evenly spaced numerical increments is referred to as a number line. The number on the line depends on how the number is contained.

The Distance Between Two Points on a number line.

The secret to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two integers if we subtract the smaller number from the larger one.

Here, we have

the distance between -2 and 0 is 2 units

the distance between 0 and 3 is 3 units

2+3 = 5

OR

3- (-2) =

3+2 = 5

5 units

Hence, the distance between -2 and 3 on a number line is 5 units.

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Equation of the line - 8 + x = 4y - 16

x- intercept, at y = 0:

y- intercept, at x = 0:

The points are (0, 2) and (- 8, 0), plot them and connect to get the graph.

The graph that connects points (-8,0) and (02) is shown below

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

-8+x=4y-16

x- intercept, at y = 0:

- 8 + x = 4(0) - 16

x = - 16 + 8

x = - 8

y- intercept, at x = 0:

- 8 + 0 = 4y - 16

4y = 16 - 8

4y = 8

y = 2

The points are (-8,0) and (02)

So, the graph that connects points (-8,0) and (02) is shown below

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the probability would be taking a purple one. there are only 2 red beads

3/2 or 2/3

The probability that the two beads selected from the bag at random is purple or red is 5/8.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total number of beads = 8

2 of the beads are blue.

1 of the beads is green.

3 of the beads are purple.

Red beads = 8 - (2 + 1 + 3) = 8 - 6 = 2

Now,

The probability that the two beads selected are purple or red.

= Probability that the two beads are purple + Probability that the two beads are red.

= 3/8 + 2/8

= 5/8

Thus,

The probability that the two beads selected are purple or red is 5/8.

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Explanation:

x = number of weeks

y = height of the plant (inches)

The first sentence of "plant is 4 inches tall on week 8" gives us the point (x,y) = (8,4)

The second sentence gives us the point (32,16)

To find the growth rate, compute the slope.

[tex](x_1,y_1) = (8,4) \text{ and } (x_2,y_2) = (32,16)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{16 - 4}{32 - 8}\\\\m = \frac{12}{24}\\\\m = \frac{1}{2}\\\\m = 0.5\\\\[/tex]

The slope of 0.5 means the plant grows 0.5 inches per week.

Put another way, the plant grows 1 inch per every 2 weeks.

-----------------

Another approach:

The plant goes from 4 inches to 16 inches. It has grown 16-4 = 12 inches over the timespan of 24 weeks (since 32-8 = 24).

So its growth rate is 12/24 = 0.5 inches per week.

Notice how these values and calculations were mentioned in the previous section.

The simplified form of the given inequality is w > -3.

What is inequality?

 When two values are compared, an inequality reveals whether one is bigger than, less than, or simply not equal to the other. The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to one another. The occurrence of an unfair distribution of opportunities and resources among individuals of a certain society is referred to as inequality. To different people and in various contexts, the term "inequality" may mean different things.

Here the given inequality is ,

=> -5w<15

=> -5 *w < 15

=> w>15/-5

=> w > -3.

Hence the correct simplified form of the inequality is w >-3.

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The ordered pair coordinates of A' are (2, -6) if A is reflected over the y-axis.

The transformation, or f: X → X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.

The coordinates of A are (-2, -6).

Point A is reflected over the y- axis to create point A'

(x, y) → (-x,y)

A (-2, -6) → A' (- (-2), -6))

So, the coordinates of A' are (2, -6).

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The mean yearly growth rate for this period is 0.0036.

The average annualized return of a portfolio, asset, or cash flow over time is known as the average annual growth rate, or AAGR. The basic arithmetic mean of a set of returns is used to calculate AAGR.

The change in a measurement's value over a year is known as the annual growth rate (AGR).

The sum of the growth rates for each year divided by the total number of years yields the mean growth annual rate.

Where the annual growth rate is calculated as follows: 5.5 + 1.1 - 3.5 - 1.1 + 1.8 = 3.8%

And the total number of years is 5.

Then ,

The average annual growth rate for this time period is = 3.8/5

Over this time span, the average yearly growth rate was 0.76%.

Make a decimal conversion

= 0.76% = 0.0076

Therefore, the mean yearly growth rate for this period is 0.0036.

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The relationship has a constant of proportionality of 37

From the graph, we have the following points

x = 1 and y = 37

These points can be represented:

x = 1

y = 37

The above parameters can be represented as the following points

(x, y) = (1, 37)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have the following equation

k = 37/1

Evaluate the quotient

So, we have

k = 37

Hence, the constant of proportionality is 37

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As per the reference attachment attached thereby along with the question statement, to prove the triangles ABC and ADC are congruent by SAS property, proving either of (AB ≅ CD), (AB ≅ DC) or (AD ≅ BC) will suffice.

In the reference attachment attached thereby along with the question statement, we are provided with two triangles, (ADC and ABC),

And as per the question statement, we are required to determine the relation between the corresponding sides or angles of the concerned triangles which we will need to prove over the information already provided in the figure, to ascertain that triangles ABC and ADC are congruent by SAS property.

Now, for two triangles to be congruent by SAS property, they will need to have two pairs of equal corresponding sides, and one set of equal corresponding angles.

Among our concerned triangles, ΔABC and ΔADC, already given that,

(∠DAC = ∠BCA), i.e., one set of equal corresponding angles,

And, (AC) is a common side to both ΔABC and ΔADC, i.e., one set of equal corresponding sides.

At this point, for ΔABC and ΔADC to be congruent, we will need to prove another set of corresponding sides to be equal, to complete SAS property.

Therefore, proving either of (AB ≅ CD), (AB ≅ DC) or (AD ≅ BC) will complete the second set of corresponding sides being equal, and  (ΔABC and ΔADC) can be proved to be congruent triangles.

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The input value x in the function j(x) = 3-x as j(x) equals -5 is 8.

A function is simply a relationship that maps one input to one output.

Given the function in the question;

To determine the value x or input value, equate the function to -5 and solve for x.

j( x ) = 3 - x

j( x ) = -5

-5 = 3 - x

Add 5 to both sides

-5 + 5 = 3 + 5 - x

0 = 8 - x

Add x to both sides

0 + x = 8 - x + x

x = 8 - x + x

x = 8

Therefore, the value of x is 8.

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Hope this helps! Bye, have a nice day!

the slop is -1 and the y-intercept is (0,7)

acc to our question-

Hence,the slop is -1 and the y-intercept is (0,7)

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Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.

Here,

Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.

There are 47 people who can play both the clarinet and the flute.

As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.

Probability(P),

P=( 125 / 350)

P=0.2743.

Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.

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For each solution, the chemist needs 80 liters of 82% solution and 20 liters of 52% solution.

So, a chemist intends to create a 76% acid solution in 100 liters.

He will create it by combining an acid solution that is 52% with an acid solution that is 82%.

Now, calculate as follows:

0.82x + 0.52(100-x) = 0.76(100) (100)

Hence, for each solution, the chemist needs 80 liters of 82% solution and 20 liters of 52% solution.

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The domain of y equals two divided by the quantity x minus three squared all minus one [y = (2)/(x - 3)² - 1] is: all real numbers.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.

Translating the word problem into an algebraic equation, we have;

y = (2)/(x - 3)² - 1

When x = 3, we have:

y = (2)/(3 - 3)² - 1

y = 2/-1 = -2

When x = 1, we have:

y = (2)/(1 - 3)² - 1

y = 2/3

In conclusion, the domain of this function is all real numbers.

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Translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.

As given in the question,

Given sentence is :

Let the number be represented by y.

The sum of y times of 3 and 23 is greater than 25.

Translation of the given sentence into inequality is given by :

y times 3 is represented by 3y

Sum of y times 3 and 23 is given by 3y + 23

Sum is greater than 25

3y + 23 > 25

Simplify the inequality we get,

3y > 25 -23

⇒3y > 2

⇒y > 2/3

Therefore, translation of the given sentence with variable y into inequality is given by 3y + 23 > 25.

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a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For 4 days, Pablo put $3 into his account.

And, His parent also add the some money to his saving account.

In the end, there was a total $36 in his account.

Now,

Let the amount Pablo parents added in each day = x

So, We can formulate;

⇒ 4 (x + $3) = $36

Solve for x as;

⇒ 4x + $12 = $36

⇒ 4 x = $36 - $12

⇒ 4x = $24

Divide by 4 both side, we get;

⇒ x = $6

Thus,

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

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The equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)

The line is passing through (-2, -4) and (2, 2)

The slope of the line is change in y coordinate with respect to the change in x coordinate of the line
Slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

Slope of the line = (2--4) / (2--2)

= 6/2

= 3/2

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

The point is given that (-3, 1)

The slope of the line = 3/2

because both are parallel lines

Substitute the both values in the equation

y - 1 = 3/2( x - (-3))

y - 1 = 3/2(x + 3)

Hence, the equation of the line that is parallel to the given line and passes through the point (-3,1) is y - 1 = 3/2(x + 3)

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Answer:

y – 1 = 3/2(x + 3)

Step-by-step explanation:

A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.

Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.

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Answer:

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