Houa works at an electronics store as a salesperson. Houa earns a 4% commission on the total dollar amount of all phone sales she makes, and earns a 5% commission on all computer sales. Houa had $600 more in computer sales than in phone sales and earned a total of $129 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Houa made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Answer: y=-0.5x-1

Step-by-step explanation:

                                              y=mx+b

Convert the given values f(-10) = 4, f (8) = -5 to coordinates (-10,4)  (8,-5)

Hence we use the formula for finding the slope m:

[tex]\displaystyle\\\boxed{m=\frac{y_2-y_1}{x_2-x_1} }\\\\x_1=-1\ \ \ \ \ x_2=8\ \ \ \ \ \ y_1=4\ \ \ \ \ y_2=-5\\\\m=\frac{-5-4}{8-(-10)}\\\\m=\frac{-9}{8+10} \\\\m=\frac{-9}{18} \\\\m=-0.5\\\\Thus, y=-0.5x+b\ \ \ \ (1)\\\\[/tex]

We substitute the value of (-10,4) into equation (1):

[tex]4=-0.5(-10)+b\\\\4=5+b\\\\-1=b\\\\Thus, b=-1[/tex]

Hence, y=-0.5x-1

X= 1

First you subtract 6 from both sides to get

2x=2

Then you divide by 2 to get 1

x=1

The x and y do not have the values in the equation because both the equations don't intersect each other.

given that the equation,

x + 2y = 4 ..........i

3x + 6y = 18 ...........ii

now multiply i with 3 and subtract with from ii,

3x + 6y = 18

-(3x + 6y ) = 12

0x + 0y = 6

which is not possible so x and y do not have the values at the intersection of the both equations which states that both the equation do not intersect at each other.

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Probability that first two babies born are boys is 0.23

Number of Mothers to be received ultrasound = 14

Number of mother giving birth to girl = 7

Number of mother giving birth to boy = 14 - 7 = 7

P(giving birth to girl) = P(G) = 7 / 14 = 0.5

P(giving birth to boy) = P(B) = 7 / 14 = 0.5

Probability that the first two babies that are born happen to be boys =

favorable outcome / total outcome

here, favorable outcome = ⁷C₂

Total outcome = ¹⁴C₂

Required probability = ⁷C₂ / ¹⁴C₂

= (7×6 / 2×1) / (14×13 / 2×1)

= 7×6/14×13

= 42 / 182

=0.23

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Answer:-9

Step-by-step explanation:

-(5+4)

-(9)

Answer:3 1/2 hours

Step-by-step explanation: 5 2/5 - 1 1/4 -1 1/2= 3 1/2

The area of the shaded portion of the circular disc is  112.255 cm².

A circle is a bounded object in which points from its center to its circumference is equidistant.

The area of the shaded portion is the difference between the area of the circular disc and the area of the circular hole.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius

Area of the circular disc = 3.14 x 6²

Area of the circular disc = 3.14 x 36

Area of the circular disc = 113.04 cm²

Area of the circular hole = 3.14 x 0.5²

Area of the circular hole = 3.14 x 0.25

Area of the circular hole = 0.785 cm²

Area of the shaded portion = area of the circular disc - area of the circular hole

Area of the shaded portion = 113.04 cm² -  0.785 cm²

Area of the shaded portion = 112.255 cm²

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Answer:

For points earned (p), the button should be on the left, and for questions correct (q), its on the right.

Step-by-step explanation:

me not know how to speak English!

In the given equation p = 5q, p is the dependent variable and g is the independent variable.

Given that Tatiana earns 5 points for each question she answers.

So, the equation is p = 5q

The above equation explains that for every question she answers, she earns 5 points. That means answering questions which is "q" is an independent variable as it is not depending on any other factor.

The points earned which is "p", is completely depending on answering questions, so the "p" which is points earned is a dependent variable.

From the above explanation, we can conclude that p is dependent variable and q is independent variable.

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The population size does not determine the sampling distribution.

In the give question we have to find which choice does not determine the sampling distribution.

We firstly learn more about sampling distribution

A sampling distribution is a probability distribution of a statistic that is derived from a bigger sample size of individuals chosen at random from a given population. The sampling distribution of a particular population is the distribution of frequencies of a variety of potential outcomes for a population statistic.

So, the population size does not determine the sampling distribution.

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The square root of 92 lies between 9 and 10.

According to the question,

We have the following information:

Square root of 92

Now, we have to find the two integers between which its square root lie.

So, we will first find the perfect squares of positive integers to get an idea where the square root of 92 lies.

Perfect squares are given below:

1 = 1

2 = 4

3 = 9

4 = 16

5 = 25

6 = 36

7 = 49

8 = 64

9 = 81

10 = 100

Now, the square of 10 is greater than 92 and square of 9 is less than 92. So, it will lie between these two integers.

Hence, the square root of 92 lies between 9 and 10.

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Answer:

See picture below

Step-by-step explanation:

Use Desmos the free calcualtor.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of apples is 8.

The number of bananas is 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total cost = $9

Cost of one apple = $1

Cost of one banana = $0.50

The number of bananas = x

The number of apples:

y = 4x

Now,

1y + 0.50x = 9

4x + 0.50x = 9

4.50x = 9

x = 9/4.50

x = 2

Now,

y = 4 x 2 = 8

Thus,

The number of apples 8.

The number of bananas is 2.

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The coordinates of the point on the directed line segment from (-9, -10) to (1,5) that partitions the segment into a ratio of 2 to 3 is (-5,-4)

The end points of the line segment = (-9, -10) and (1, 5)

The partition ratio = 2 : 3

According to the partition rule

The x coordinate of the point = [tex]x_1+\frac{A(x_2-x_1)}{A+B}[/tex]

A = 2

B = 3

Substitute the values in the equation

The x coordinate of the point = -9 + [2(1--9) / 2+3]

= -9 + [2×10 / 5]

= -9 + [20/5]

= -9 + 4

= -5

Similarly,

The y coordinate of the point = [tex]y_1+\frac{A(y_2-y_1)}{A+B}[/tex]

= -10+[2(5--10)/2+3]

= -10+[2×15/5]

= -10+[30/5]

= -10 + 6

= -4

Hence, the coordinates of the point on the directed line segment from (-9, -10) to (1,5) that partitions the segment into a ratio of 2 to 3 is (-5,-4)

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The soup mix that this recipe makes is 5.

The property could you use to change the grouping of the addends is the associative property of addition.

From the information, the following can be deduced:

7/4cups uncooked rice

1/2 cup dry lentils

1 2/3 = 5/3 cups uncooked pasta

1/3 cup beef bouillon

1/4 cup dried onion flakes

1/2cup dried peas

The soup mix that this recipe make will be the addition of all the values. This will be:

= 7/4+ 1/2+5/3 +1/3 +1/4 +1/2

= 5

The associative property of addition can change the grouping.

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The slope of points (1,3) and (4,5) will be 2/3.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise and the run of the line.

Given that the line is passing through points (1,3) and (4,5). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 5 - 3 ) / ( 4 - 1)

Slope = 2 / 3

Therefore, the slope of points (1,3) and (4,5) will be 2/3.

The complete question is given below.

Find the slope of the line that passes through both points (11,3) and (4,5).

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The inequality is 45m + 14 n ≥ 250.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

He makes 45 for every lawn he mows

and an extra 15 for raking

His goal earning= at least 250 per week

let the number of lawn he mow is m and the number of lawn rakes is n.

Then the inequality is

45m + 14 n ≥ 250

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Answer: 21 tons/wk

Step-by-step explanation:

6000 lb/day = 3 tons/day

3 t/day * 7 = 21 t/wk

Answer:

8x1 4* 28 × +8 = 28x + 12

8x^1 + 4 times 28 + 8

Add common Factors which are 8x and 28x added they equals 36x and 4 and 8 which equals 12 so now we got 28x + 12 and that is the answer

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The simplified expression representing (−8x²−5x+8)−(−6x²+3x−3) is given as follows:

14x² - 8x + 11.

The expression for this problem is presented as follows:

(−8x²−5x+8) − (−6x²+3x−3).

The first step towards simplifying the expression is removing the negative signal from the expression, inverting the signal of each term inside the second parenthesis, hence:

(−8x²−5x+8) − (−6x²+3x−3) = 8x² - 5x + 8 + 6x² - 3x + 3.

(the first parenthesis can be removed with no changes as there is not any signal in front of it).

Then the like terms, which are the terms with the same variable and same exponent, are added, adding the coefficients and keeping the variables and exponents, as follows:

The simplified expression is obtained by these three additions of the like terms above, hence:

14x² - 8x + 11.

The problem is incomplete, and it asks for us to simplify the given expression.

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The linear equations that can satisfy the values given in tabular form are

How to form line equation using values given in tabular form?

A line equation is of the form y = mx + b where x and y are the coordinate values, m is the slope of the line and b is the y intercept.

Follow these steps to find the line equation:

According to the given data:

Table I)

Standard form: t = md + b

Slope: m = [tex]\frac{16 - 11}{1 - 0}[/tex] = 5

y-intercept: t = 5d + b

Substituting (d, t) = (1, 16) as given in the table

16 = 5x(1) + b

∴ b = 11

Hence linear equation in terms of d and t is t = 5d +11

Similarly, for Table II)

Standard form: c = mr + b

Slope: m = [tex]\frac{2 - 1}{-0.6 + 2.1}[/tex] = [tex]\frac{2}{3}[/tex]

y-intercept: c =     (2/3)r + b

Substituting (r, c) = (-2.1, 1) as given in the table

1 = 2/3 x (-2.1) + b

∴ b = 2.4

Hence linear equation in terms of r and c is c =  [tex]\frac{2}{3}[/tex] r + 2.4

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The sun's angle of elevation when a 47-foot mast casts a 14-foot shadow 73.4127

At the foot of the mast, place the 90 degree (right) angle of a right triangle. When the sun hits the mast, it casts a 47-foot shadow. Consider the mask's height to be on the "opposite side" of the elevation angle, and this shadow to be on the "adjacent side."

The "tangent" trig function includes the following variables:

Tan = (opposite side) (elevation angle) (adjacent side).

In this case, tan (angle of elevation) equals opposing side / adj opposing side.

is used for

radians, or tan (angle of elevation)

= 47/14 = 3.3571

3.3571 is equal to 73.4127 degree.

The angle of elevation of the sun when a 47-ft mast casts a 14 ft

shadow 73.4127 degree

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Answer:

y=2x-2

Step-by-step explanation:

use y2-y1/x2-x1 to find slope

4-2/3-2

2/1

2 is the slope

A and B are the only possible answers so far

Now to find y intercept

We know it can’t be +2 because at 2 x is equal to 2 so -2 is the only option

Hopes this helps please mark brainliest

Answer: decay

Step-by-step explanation: decay is when the input is less than 1 and greater than 0. 0.75 falls in between these numbers

the tell-tale factor is the value inside the parenthesis, if that's less than 1 is Decay, if more than 1 is Growth

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2.5\\ r=rate\to \text{\LARGE 28\%}\to \frac{28}{100}\dotfill &0.28\\ t=\textit{elapsed time}\dotfill &x\\ \end{cases} \\\\\\ A=2.5(1 - 0.28)^{x} \implies A = 2.5(0.72)^x\hspace{5em}y= 2.5(0.72)^x[/tex]

Answer:

-3 - i

Step-by-step explanation:

This is true, because when solving for an imaginary solution through a polynomial, the form A ± Bi will always be adhered. A and B are both constants.

(Constants are just any real number, like 1, 2.35, or [tex]\frac{1}{2}[/tex].)

The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

[tex]H_{o} :p=0.20[/tex], null hypothesis

[tex]H_{1} :p\neq 0.20[/tex], alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

[tex]Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }[/tex]

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

[tex]Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }[/tex]

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

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The vehicles will meet at 0845 at a distance of 64 km from P when they move at the respective speeds.

The car moves at a speed of 80km/h from P to Q and it takes time t

t = 9.30 - 8.00 = 1 hour 30 minutes or 1.5 hours

Distance covered = speed × time

Distance = 80 × 1.5 = 120 km

Now et the cars meets at a distance of x km from P.

times taken by the car to cover x km = x/80 hours

The lorry travels 120 - x in that same time.

time taken = 70/(120 - x)

Now the time taken must be equal.

Therefore we will form an equation to calculate x.

(120 - x) / 70 = x / 80

or, 960 - 8x = 7x

or, 15x = 960

or, x = 64

Therefore the cars will meet at 64 km from P.

Now time taken by the car to cover 64 km = 64/80 = 0.8 hours = 48 minutes

Hence the cars will meet at 0845 hours.

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The actual width of the countertop is 4 feet

Given,

Valentina measured a kitchen and made a scale drawing;

The scale she used for the drawing = 1 inch ; 2 feet

The width of countertop of kitchen in drawing = 2 inches.

We have to find the actual width of the countertop;

Here,

The scale factor used in the drawing = 1 inch = 2 feet

1 inch  = 2 feet

2 inch = 2 x 2 = 4 feet

Now,

The actual width of the countertop = Width in drawing x 2

= 2 x 2 = 4 feet

That is,

The actual width of the countertop is 4 feet

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An absolute value equation that can be used to find the maximum and minimum scores within one standard deviation of the mean is |x - 20.9| = 5.3.

The minimum score that is within one standard deviation of the mean is equal to 15.6.

In Mathematics, an absolute value function can be defined as a type of function that consist of an algebraic expression, which is placed within absolute value symbols and measures the distance of a point on the x-coordinate to the x-origin (0).

Mathematically, an absolute value function can be represented by this mathematical expression:

Since the standard deviation is 5.3 and the mean is 20.9, an absolute value equation for the scores that is within one standard deviation of the mean is given by:

|x - 20.9| = 5.3.

x - 20.9 = ±5.3

Evaluating the absolute value function, the maximum score is given by:

x - 20.9 = 5.3

x = 20.9 + 5.3

x = 26.2.

Evaluating the absolute value function, the minimum score is given by:

x - 20.9 = -5.3

x = 20.9 - 5.3

x = 15.6.

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Complete Question:

The most familiar statistical measure is the arithmetic mean, or average. A second important statistical measure is the standard deviation, which is a measure of how far the data are from the mean. For example, the mean score on the Wechsler IQ test is 100 and the standard deviation is 15. This means that people within one standard deviation of the mean have IQ scores that are 15 points higher or lower than the mean. One year, the mean mathematics score on the ACT test was 20.9 with a standard deviation of 5.3. Write an absolute value equation to find the maximum and minimum scores within one standard deviation of the mean. Use your equation to find the minimum score that is within one standard deviation of the mean

Step-by-step explanation:

25/3 = 8.33

hope it's helpful

Answer:

it is 20

Step-by-step explanation:

use the formula

hope i helped