can you please solve this practice problem for me I really need assistance. the original slope is blue and the parallel slope is green

From the information provided, The original price had a discount of 35% slash during he clearance.

This means the clearance sales price would be;

This means a dress that "originally" cost $120 now sells for $78 during the clearance sales.

The dress is now on sale for 20% off.

Therefore, the final price would be;

ANSWER:

The final price is $62.40

Solution

Step 1

Write the equation

Step 2

Apply the addition equality theorem

Step 3

Use the division equality theorem:

Final answer

x = 5

The equivalent of one square meter in square feet is  10.89 [tex]ft^{2}[/tex]  and of one cubic meter in cubic feet is  35.937 [tex]ft^{2}[/tex].

One meter is about 3.3 ft. So, we can write

1 meter = 3.3 ft

Part : A

We know, 1 meter = 3.3 ft

On squaring both sides of this equation, we will get

[tex](1 meter )^{2}[/tex]= [tex](3.3 ft )^{2}[/tex]

1 [tex]meter^{2}[/tex] = 10.89 [tex]ft^{2}[/tex]                                   equation 1

The equivalent of one square meter in square feet is  10.89 [tex]ft^{2}[/tex] .

Part : B

We know, 1 meter = 3.3 ft

On taking cube on both sides of this equation, we will get

[tex](1 meter )^{3}[/tex]= [tex](3.3 ft )^{3}[/tex]

1 [tex]meter^{3}[/tex] = 35.937 [tex]ft^{3}[/tex]                                   equation 1

The equivalent of one cubic meter in cubic feet is  35.937 [tex]ft^{2}[/tex]

To know more about Unit Conversions refer to the link:

https://brainly.com/question/141163

#SPJ1

The graph shows the profit (measured in thousands of dollars) on the y-axis and the price per bike (measured in hundreds of dollars) on the x-axis, the parabola describes the relationship between both variables.

As you can see the parabola opens downwards, which means that the maximum value of the relationship is determined by the vertex of the curve.

The coordinates of the vertex indicate the value of the bikes (x-coordinate) that allows the company to make the maximum profit (y-coordinate)

Looking at the graph the coordinates for the vertex are, approximately, (6, 160)

x-coordinate: 6 hundreds of dollars

y-coordinate 160 thousands of dollars

The maximum profit will be $160,000, and they will reach it when the bicycles cost $600

slope=1.43

y-intercept=1

x-intercept=-1.43

Explanation

Step 1

get the slope intercept form of the equation

where

m is the slope and b is the y-intercept

to do this, isolate y

so,

Step 2

to find the x-intercept replace the y value with zero in the equation

so, the x intercept is

I hope this helps you

    A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.

    Where a line on a graph crosses the x-axis is known as the x-intercept. At that time, the y coordinate's value is zero. For instance, the x-intercept would be where the equation y = x + 5 crosses the x-axis at the location (-5, 0).

      We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.

        This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).

       If you can locate the x-intercept of a linear function, finding the zero should be simple. The x-coordinate of the x-intercept is zero.

Summary

         Consider the numbers as being on the x-axis to help you remember this. The positive values are located to the right of the origin, and the negative values are located to the left of the origin.

To Learn more About X-Intercept, Refer:

https://brainly.com/question/17932786

#SPJ13

Proportionately, the total number of registered doctors, based on the ratio of female doctors, is 150,637.

Proportion refers to the quantity relationship of a variable contained in another.

Using proportion, two values are equated to each other.

For instance, we equate the percentage of registered female doctors to the number of registered female doctors.

Proportions, like ratios, are stated as fractions, decimals, or percentages because they depict the portion of a variable in another.

The ratio of registered female doctors = 31.4%

The number of registered female doctors = 47,300

31.4% = 47,300

100% = 47,300/31.4% x 100

The total number of registered doctors = 150,637  (47,300/31.4%)

Thus, the total number of registered doctors is 150,637, given that 47,300 female registered doctors proportionately represent 31.4% of the population.

Learn more about proportions at https://brainly.com/question/1496357

#SPJ1

65.03x + 74757 is Marginal profit function .

What is profit?

P(x) = 143 - 0.03x

C(x) = 75000 + 65x

C(x) - P(x) = 75000 + 65x - ( 143 - 0.03x)

                = 75000 + 65x - 143 + 0.03x

                 = 65.03x + 74757

Learn more about profit

brainly.com/question/14281684

#SPJ13

Answer:

2346 dl sheep

Step-by-step explanation:

all well STrxrcgvw'#'zuucrb if ivAr4w3ws4

Answer: 1 3/4

1/4= 15 minutes

1/2 = 30 minutes

add 1/2 to 1/4 and you get 3/4 because 1/2 is equal to 2/4 if you add the 1/4 to it

heres the actual math:

1/2 = 2/4

2/4 + 1/4 = 3/4

slap that one in front of it so its 1 3/4 and therea your answer

A motion sensor, sometimes known as a motion detector, is a piece of technology that use a sensor to find nearby individuals or objects. Any security system needs motion sensors as a crucial part. A sensor will alert your security system and, with newer systems, your cell phone when it senses motion.

How does a motion sensor function?

Active ultrasonic motion detectors emit ultrasonic sound waves, which bounce off surrounding objects and return to the source of emission. The sensor initiates and completes the required action, whether it be turning on a light or sounding an alert, when a moving object interferes with the waves.

To learn more about Motion detector refer to:

https://brainly.com/question/28027581

#SPJ13

Answer:

k = 4

Explanation:

1) The triangles in example 1 are similar triangles but differs in size

We are to calculate the scale factor k

Using the formula

Scale factor k = size of the larger triangle/size of the smaller trinagle

Since they are similar triangles;

k = DF/AB

Given

DF = 48

AB = 12

Substitute the given values into the expression for k above to have;

k = 48/12

k = 4

Hence the scale factor from triangle ABC to DEF is 4

Answer

The amount that Diana's sister would buy the remaining 720 square inches piece of cloth = $5

Step-by-step Explanation

We are told that Diana bought a piece of cloth that was 48 inches wide and 1 yard long for $12.

Then, she had different parts of the cloth taken to do different stuff until the remaining piece of the cloth was to be bought by her sister at the same rate that she bought the original full piece of cloth.

Before we proceed, we need to establish and find the initial rate of the cloth, that is, how much is 1 unit of area.

Area of a rectangular figure (the cloth) = Length × Breadth

Length of the cloth = 1 yard = 36 inches

Breadth of the cloth = 48 inches

Area of the cloth = 36 × 48 = 1728 square inches.

1728 square inches of the cloth = $12

1 square inch of the cloth = (12/1728) = (1/144) dollars

So, now, we can now find how much of the cloth is removed.

- She cut off one-fourth of the cloth to make a tablecloth.

One-fourth of the 1728 square inches piec of cloth = (1/4) × 1728 = 432 square inches

- She used a piece that was 12 inches wide and 12 inches long to make a scarf.

Area of the piece she used to make a scarf = 12 × 12 = 144 square inches

- She used a piece that was 1.5 feet by 2 feet to make a cover for a pillow.

To find the area of this piece, we need to convert the dimensions into inches.

1 feet = 12 inches

So,

1.5 feet = 18 inches

2 feet = 24 inches

Area of this piece of cloth = 18 × 24 = 432 square inches

So, her sister now wants to buy the remaining piece of cloth from Diana.

Originally, the piece of cloth was 1728 square inches.

The total area removed from the original piece of cloth sum up to

432 + 144 + 432 = 1008 square inches.

The remaining piece of cloth will now have an area calculated by subtracting the area of pieces removed from the original area of the piece of cloth.

The area of the remaining piece of cloth = 1728 - 1008 = 720 square inches

Recall that the Diana's sister wants to but the remaining piece of cloth at the rate that Diana bought the original piece of cloth.

We have calculated this rate at which Diana bough the original piece of clothing to be (1/144) dollars for 1 square inch. So, we can then use this rate to calculate the amount Diana's sister will pay for the remaining piece of cloth

Area of the remaining piece of cloth = 720 square inch

1 square inch costs (1/144) dollars.

Let the cost of 720 square inches be x.

1 square inch = (1/144) dollars

720 square inches = x dollars

We can from a mathematical relationship simply by cross multiplying

1 × x = 720 × (1/144)

x = 5 dollars.

Hence, the amount that Diana's sister would buy the remaining 720 square inches piece of cloth = $5

Hope this Helps!!!

For the guess and check method, we would still need to first find the cost of 1 square inch of material which we obtained to be (1/144) dollars per square inch of cloth.

We would also still need to calculate the total area removed from the cloth, which we calculated to be 1008 square inches.

But now, we will now use the cost of 1 square inch, to calculate the cost of the pieces that have been removed from the cloth.

1008 × (1/144) = 7 dollars.

We can now guess how many dollars will top up the 7 dollars so that it gives the original 12 dollars that the cloth was bought.

After a series of guess, we will end up to get that it is (7 + 5) that is equal to 12 dollars.

So, guess and check would give us 5 dollars too as the answer.

    In other terms, imaginary numbers are those that have no known value and are represented by the square root of negative numbers. Most of the time, it is expressed as real values multiplied by an arbitrary unit called "i."

    Answer and justification Therefore, a quadratic equation with rational coefficients cannot have both a real and an imaginary root.

How can you find complex roots using Descartes' Rule of Signs?

    We may determine the total number of positive + negative real roots using the rule of signs. We may get the potential number of complex roots by deducting this total from the polynomial's degree.

    An imaginary integer is referred to as an imaginary zero if it produces a zero output when plugged into a polynomial (or a complex zero).

   Complex numbers are those that are expressed as a+b, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1).

To Learn more About imaginary numbers, Refer:

https://brainly.com/question/10662770

#SPJ13

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following expression:

We solve and reduce like terms, just like this:

The range of the number of hours spent watching tv for the 5th grade is 6.

The range of the number of hours spent watching tv for the 7th grade is 7.

Th ratio of variation is 6/7.

A dot plot is a graph used to represent a dataset using dots. A dot plot is made up of a number line and dots.  The dots in the dot plot represent the frequency of the data.

Range is a measure used to measure the variation of a dataset. Range is the difference between the largest number in a data and the smallest number in the dataset.

Range = largest number - smallest number

Range of the 5th grade students = 8 - 1 = 6

Range of the 7th grade students = 7 - 0 = 7

Ratio of variation of 5th grade to 7th grade = range of 5th grade / range of 7th grade

6 / 7

To learn more about dot plots, please check: brainly.com/question/21862696

#SPJ1

Answer:

[tex]y=\frac{-1}{3}x+5[/tex]

Answers being -1/3 and 5

Step-by-step explanation:

In slope-intercept form, you seem to be missing your slope and intercept.  Luckily, the graph has everything you need.

Recall slope is rise over run or y over x.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

The slope of this line can be determined by counting the x and y movements of the line between two intersections where it evenly collides.  For instance, between (0,5) and (3,4), the line moves right three and down one.  

This would give you a slope of -1/3.

Another way to find the slope is to choose any two points and use the slope formula above.  Using those same two points:

[tex]m=\frac{4-5}{3-0}[/tex]

[tex]m=\frac{-1}{3}[/tex]

Now you have the first part of your answer.  The slope is -1/3.

The second part is the y coordinate of the y-intercept.  In this case, the graph includes the intercept, which we can clearly determine is (0,5).  Therefore, your second answer would be 5.

The full answer being [tex]y=\frac{-1}{3}x+5[/tex].

Answer:

Step-by-step explanation:

To understand the situations we must do a Venn diagram:

The total of people asked is 3400. Then,

a) For People who enjoyed vanilla but not chocolate or mint, seeing the diagram of Venn, we can deduce the equations:

b) For people who did not enjoy chocolate, vanilla or mint:

If She was entitled to a personal exemption of $2900 and had deductions totaling $5090. her gross income is $36,100, adjusted gross income is  $33,400 , and taxable income is $25,410.

Gross Income:

Gross Income= Wages + Interest received

Gross Income= 34,600 + $1500

Gross Income= $36,100

Adjusted Gross Income:

Adjusted Gross Income  = Income - Tax Def Contribution

Adjusted Gross Income = $36,100- $2,700

Adjusted Gross Income = $33,400

Taxable Income :

Taxable Income = AGI - Deductions - Personal exemption

Taxable Income= $33,400- $5,090 - $2,900

Taxable Income= $25,410

Therefore her  gross income is $36,100.

Learn more about gross income here: https://brainly.com/question/15530787

#SPJ1

Answer:

25%

Step-by-step explanation:

(40-32 / 32) × 100% = 25%

The angle m∠FCD is 56°

Here the line CF is an angle bisector of ∠GCD.

By this we have,

∠GCF = ∠FCD

It is given that

∠GCF = ∠GCB - 12°

Let ∠GCB be x.

∠GCF = x - 12° = ∠FCD

BCD is a straight line which form 180°.

∠BCG + ∠GCF + ∠FCD = 180°

x + x - 12° + x - 12° = 180°

3x = 204°

x = 68°

∠FCD = x - 12°

          = 68° - 12°

          = 56°

Therefore m ∠FCD = 56°.

To know more about the Triangle refer to the link given below:

https://brainly.com/question/1058720

#SPJ1

You have the following data set:

x 1 0 -3

y 5 4 1

Where y is a function of x. In order to translate the previous function 2 unitd downward, you take into account that you subtract 2 units to the given values for y. Then, you have:

y (5-2) (4-2) (1-2)

which becomes:

y 3 2 -1

Finally, the given table becomes:

x 1 0 -3

y 2 2 -1

sin G = 0.84

Explanation:

We will apply trigonometry ratio SOHCAHTOA:

sin G is sine ratio (SOH)

sin G = opposite/hypotenue

Answer: 105

Step-by-step explanation:

Angles in a triangle add up to 180 degrees always, you already have two angles. Subtract those two angles from 180 then you have 75. A straight line always equals 180, and since we just found one angle on that line which is 75, just subtract 75 from 180 to get the answer.

The equation for calculation of total length is L = 54 + 3D and the total length for 37 days 165 miles.

The equation will be formed as total length will be sum of first length travelled with the product of number of miles travelled each day and number of days. Representing this as the equation -

L = 54 + 3D

Now, keep the value of D in formula to find the total length.

L = 54 + 3×37

Performing multiplication on Right Hand Side of the equation

L = 54 + 111

Performing addition on Right Hand Side of the equation

L = 165 miles

Therefore, the equation is L = 54 + 3D and total length is 165 miles.

Learn more about expression -

https://brainly.com/question/21405634

#SPJ1

Answer:

The equation of the line is y=3x+3

We must solve the following quadratic equation by completing squares:

1) First, we rewrite the equation in the following way:

2) We sum to both sides of the equation (5/2)², get:

3) Expressing the first term as a square, we have:

4) Passing the +6 at the left as -6 at the right:

5) By taking the square root on both sides, we get two solutions:

1) Re-writing the equation:

2) Summing (5/2)² on both sides:

3) Expressing the first term as a square:

4) Simplifying:

5) Taking the square root:

The amount that needs to be deposited to have a saving of $50,000 in 30 years at the given interest rate is $8,302.10.

The compound interest formula is expressed as;

P = A / (1 + r/n)^nt

Where P is principal, A is amount accrued, r is interest rate is compound period and t is time elapsed.

Given the data in the question;

First, convert rate from percent to decimal.

Rate r = 6%

Rate r = 6/100

Rate r = 0.06 per year

To determine the principal, plug the given values into the formula above and solve or P

P = A / (1 + r/n)^nt

P = $50,000 / (1 + 0.06/12)^( 12 × 30 )

P = $50,000 / (1 + 0.05)³⁶⁰

P = $50,000 / (1.05)³⁶⁰

P = $8,302.10

Therefore, the principal investment is $8,302.10.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

3) Store A sells 36 pack box of chocolates for $54. Store B sells 6-pack boxes of the same size chocolates for $12. Which store offers a better deal? (Organize your information in the tables given below) Store A Store B # of Chocolates Price $ Price $ # of Chocolates.​

________________________________

# of Chocolates​ Price Ratio (Price per chocloate)

Store A 36 pack box 54 54/ 36 = 3/2 = 1.5

Sotre B 6-pack boxes 12 12/ 6 = 2

_____________________________

Store A 1.5

______________________________

Answer

Store A offers a better deal

Answer:

y = 3(e)^(-0.69x)

Explanation:

Taking into account the following property

We can replace (0.5)^x by

So, now we can rewrite the function as

Therefore, the answer is

y = 3(e)^(-0.69x)

Answer:

y=3e^(ln0.5)x

Step-by-step explanation: