Find the equation of the line where m = 1 and b = 8.
y = 8 - x
y = 8
y = 8x + 1
y = x + 8

Answer:

A 61.00

Step-by-step explanation:

51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.

Data points: 3, 5, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

The corresponding box plot is shown below: IQR = Q3 - Q1 = 17 - 7 = 10, Outliers: 3, 22

To create a box plot with at least 20 data points, the following data points were used: 3, 5, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. The box plot was created using these values and is shown below.

The minimum value is 3, the first quartile (Q1) is 7, the median is 12, the third quartile (Q3) is 17, and the maximum value is 22. To compute the interquartile range (IQR), the formula IQR = Q3 - Q1 is used, which in this case is 17 - 7 = 10.

In terms of outliers, any values outside of the range Q1 - 1.5 * IQR and Q3 + 1.5 * IQR are considered outliers. In this case, these values are 3 and 22, respectively.

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The number of square feet needed to cover the hole is 44ft²

To find this, we need to find the area of the green region and subtract the little square that it has inside.

Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:

A = 12ft*4ft = 48ft²

The little square has an area:

a = 2ft*2ft = 4ft²

Then the area needed is:

area = 48ft² - 4ft² = 44ft²

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Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

Where is the graph, once you upload it, I will change the answer

Step-by-step explanation:

Answer:

percent change = 25% (drop)

Step-by-step explanation:

James reasoning is incorrect

Let the original price of the computer = $1000

If the computer was marked up by 50% then 1000 x 1.5 = $1500

If the computer was then marked down by 50% then 1500 x 0.5 = $750

Percent change = [ (difference between final value and initial value) ÷ initial value] x 100

= [ (1000 - 750) ÷ 1000 ] x 100

= 25% (drop)

Answer:

James is wrong because if you increase something's price by 50%, and decrease it by 50% of the new price, it will be lower than the original price.

Step-by-step explanation:

Let's say that the computer's price is around $1,000.

Since we have to mark it up by 50%, we have to turn this into a decimal and multiply that decimal by the original price. Then add the product to the original price

0.5 x 1,000 = 500

500 + 1,000 = 1,500

The marked up price of the computer is $1,500, then reduce it by 50%, do the same process as the first step but don't add it to the original price this time.

0.5 x 1,500 = 750

The computer's final price is $750

Answer:

24

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

I took the quiz and got it right

Answer:

She charges $6.75 per hour

Step-by-step explanation:

If she charges an hourly rate, the number of hours should be multiplied by the hourly rate to get the total amount of money earned.

Variable x = hourly rate

The equation should be set up as:

12x = 81

This equation says 12 hours times the hourly rate equals $81

How we solve is by isolating the variable

To isolate the variable, we divide both sides by 12

12x ÷ 12 = 81 ÷ 12

1x = 6.75

x = 6.75

Her hourly rate is $6.75

The amount of change received by Winnie after paying $50 is $3.50.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The price of each shirt, dress and tote bag are given as $7.25, $12 and $9.50 respectively.

Then, the cost of 3 shirts, 1 dress, and 1 tote bag can be calculated as below,

⇒ 3 × 7.25 + 12 × 1 + 9.50 × 1 = $43.25

The total price after adding tax of $3.25 is 43.25 + 3.25 = $46.50

Now, the change received after paying $50 can be calculated as,

⇒ 50 - 46.50 = $3.50

Hence, the amount of change received is $3.50.

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Answer:

y = 95

Step-by-step explanation:

x + 120 = 180

25 + x + y = 180

flipping the first equation 180 - 120 = 60 so x is 60.

so plug in 60 into the second equation

25 + 60 + y =180 --> 85 + y =180 flip equation 180 - 85 = 95

so y is 95

Answer:

The exchange rate for Dollars to Euros is of 1.33.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

Exchange rate for Dollars to Euros.

We want to find the number of dollars in a euro.

In 375 euros, there are 500 dollars, so how many dollars in 1 euro?

375 euros - 500 dollars

1 euro - x dollars

Applying cross multiplication:

\(375x = 500\)

\(x = \frac{500}{375}\)

\(x = 1.33\)

The exchange rate for Dollars to Euros is of 1.33.

Answer:

14 7/8

Step-by-step explanation:

Differential formula that estimates the change in the surface area S=6x2 of a cube when the edge lengths change from \(x_{0}\) to \(x_{0}\) + dx is \($$d S=\left(12 x_0\right) d x$$\)

As per the given data:

The surface area is given by

\($$S = 6 x^2$$\)

Differentiate both sides with respect to  f(x)

\($$S^{\prime}(x)=\frac{d}{d x}\left(6 x^2\right)\\\\=6(2) x^{2-1}$$\)

= 12 x

The estimated change in surface area is given by

\($$d S=S^{\prime}(x) d x= > d S\\\\$$\)

= (12 x) dx

The change in surface area at \($x=x_{0} $\) is

\($$d S=\left(12 x_0\right) d x$$\)

Therefore the answer is \($$d S=\left(12 x_0\right) d x$$\)

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Write a differential formula that estimates the change in the surface area S=6x2 of a cube when the edge lengths change from \(x_{0}\) to \(x_{0}\) + dx

The percentage of drivers who are at least 45 is 62%

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Answer: 1344 committees can be formed of four people not from one class

Step-by-step explanation:

We are given:

Members in freshmen = 6

Members in sophomores = 6

Members in juniors = 6

To form a committee of four people not from one class, numerous combinations can occur. They are:

When 2 from freshmen, 1 from sophomores, and 1 from junior. The possibility becomes \(^6C_2\times ^5C_1\times ^4C_1\)

When 1 from freshmen, 2 from sophomores, and 1 from junior. The possibility becomes \(^6C_1\times ^5C_2\times ^4C_1\)

When 1 from freshmen, 1 from sophomores, and 2 from junior. The possibility becomes \(^6C_1\times ^5C_1\times ^4C_2\)

Total combinations: \((^6C_2\times ^5C_1\times ^4C_1)+(^6C_1\times ^5C_2\times ^4C_1)+(^6C_1\times ^5C_1\times ^4C_2)=(300+240+180)=720\)

When 2 from freshmen, 2 from sophomores, and 0 from junior. The possibility becomes \(^6C_2\times ^5C_2\times ^4C_0\)

When 0 from freshmen, 2 from sophomores, and 2 from junior. The possibility becomes \(^6C_0\times ^5C_2\times ^4C_2\)

When 2 from freshmen, 0 from sophomores, and 2 from junior. The possibility becomes \(^6C_2\times ^5C_0\times ^4C_2\)

Total combinations: \((^6C_2\times ^5C_2\times ^4C_0)+(^6C_0\times ^5C_2\times ^4C_2)+(^6C_2\times ^5C_0\times ^4C_2)=(150+60+90)=300\)

When 3 from freshmen, 1 from sophomores, and 0 from junior. The possibility becomes \(^6C_3\times ^5C_1\times ^4C_0\)

When 3 from freshmen, 0 from sophomores, and 1 from junior. The possibility becomes \(^6C_3\times ^5C_0\times ^4C_1\)

When 0 from freshmen, 3 from sophomores, and 1 from junior. The possibility becomes \(^6C_0\times ^5C_3\times ^4C_1\)

When 1 from freshmen, 3 from sophomores, and 0 from junior. The possibility becomes \(^6C_1\times ^5C_3\times ^4C_0\)

When 0 from freshmen, 1 from sophomores, and 3 from junior. The possibility becomes \(^6C_0\times ^5C_1\times ^4C_3\)

When 1 from freshmen, 0 from sophomores, and 3 from junior. The possibility becomes \(^6C_1\times ^5C_0\times ^4C_3\)

Total combinations: \([(^6C_3\times ^5C_1\times ^4C_0)+(^6C_3\times ^5C_0\times ^4C_1)+(^6C_0\times ^5C_3\times ^4C_1)+(^6C_1\times ^5C_3\times ^4C_0)+(^6C_0\times ^5C_1\times ^4C_3)+(^6C_1\times ^5C_0\times ^4C_3)]=(100+80+40+60+20+24)=324\)

Total number of committees that can be formed = [720 + 300 + 324] = 1344

Hence, 1344 committees can be formed of four people not from one class

Answer:

X=3, y=-2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer: m= -9

Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9

Hope this helps :)

The difference in temperature between Rome and Munich is given as follows:

6ºC.

The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.

The bar graph in the context of this problem gives the temperature for each town.

From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:

Hence the difference in temperature between Rome and Munich is given as follows:

11 - 5 = 6ºC.

The graph is given by the image presented at the end of the answer.

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The length of section of pipe on the construction plan on conversion of units from feet to inches, 7 feet 5 1/8 inches will be 7.427 feet. On rounding off to the two places after decimal the length will be 7.43 feet.

We know that 1 foot = 12 inches. In order to convert feet into inches we'll multiply the given number by 12. Similarly to convert given inches to feet, we'll divide the given number by 12.

Here the length of pipe= 7 feet 5 1/8 inches

To convert 5 1/8 inches to feet: Divide by 12 {1 foot =12 inches}

                   =\(\frac{41}{8\\}\) ÷ 12

                   =\(\frac{41}{8}\) × \(\frac{1}{12\\}\)

5 1/8 inches =\(\frac{41}{96\\}\) feet

Now, 7 feet 5 1/8 inches = 7 feet + \(\frac{41}{96} \\\) feet

                                        = 7 feet + 0.4270 feet

                                        =7.4270 feet

                                        =7.43 feet

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Answer:

b = 4

Step-by-step explanation:

4/6 is equivalent to 2/3, so with the slopes and y-intercepts being the same, there will be infinitely many solutions

Answer:

no

Step-by-step explanation:

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

(5/20)*(4/19)*(3/18)*(2/17) = 120/116280 = .001 = .1%

Step-by-step explanation:

Answer:

114.3 foot

Step-by-step explanation:

Height of building,h=200 foot

Let BC=x

\(tan\theta=\frac{perpendicular\;side}{base}\)

Using the formula

\(tan(58^{\circ} 6')=\frac{200}{CD}\)

\(CD=\frac{200}{tan(58^{\circ} 6')}\)

\(CD=124.5 foot\)

Now,

\(\frac{BC}{CD}=tan(42^{\circ}33')\)

\(\frac{x}{124.5}=0.9179\)

\(x=124.5\times 0.9179\)

\(x=114.3 foot\)

Hence, the distance of woman from the  ground=114.3 foot

The ground is 123.24 ft far from the stranded woman.

Given the total height of the office building is 200 ft.

And the angle of elevation of the top of the building is 58° 6' and the angle of elevation to the stranded woman is 42° 33'.

We know that, from trigonometric ratios,\(tan \theta =\frac{perpendicular}{base}\)

here \(\theta\) is the angle of elevation of the top of the building from the fireman.

Now, \(tan ( 58^{0} 6')\)\(=\frac{200}{base}\)

\(1.488=\frac{200}{base}\)

\(base=\frac{200}{1.488}\)

\(base=134.40\) ft

Now the woman is stranded in the window of the building say at the height of h ft, and the angle of elevation of the woman from the fireman is  42° 33'.

So, \(tan (42^{0} 33')\)\(= \frac{perpendicular}{base}\)

\(tan(42^{0} 33' )= \frac{h}{134.40}\)

\(0.917=\frac{h}{134.40}\)

\(0.917\times134.40=h\)

\(h=123.24 ft\)

Hence the ground is 123.24 ft far from the stranded woman.

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Answer:

Step-by-step explanation:

Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Answer:

I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be

100,000 if it is 10 to the 5th power

If it is 10x to the 5th power then it's 100,000x

Step-by-step explanation:

I hope that helps :) explanation and answer is up!

Answer:

100000x

Step-by-step explanation:

When you do anything to a positve power, the decimal point goes to the right, if its negative to the left