How do you do
2х² + 3у²

Answer: 50 ft long and 6.25 ft wide

Step-by-step explanation:

Answer:

88

Step-by-step explanation: The measure of the exterior angle is equal to the sum (adding together) of the interior angles. 42+46=88.

Answer:

That's probably false.

By using basic arithematic operations we concluded that the temperature at 6 pm was - 9.8°F.

Arithmetic operation is the study of numbers and the operations on numbers that are used in all other branches of mathematics. It primarily consists of basic operations like addition, subtraction, multiplication, and division.

The temperature at 09:00 am = -6.9°F.

The tempertaure increased by 5.4°F till noon

So, the final tempertaure at noon = - 6.9°F + 5.4°F

                                                        = - 1.5°F

Then, again the temperature increased by 7.2°F from noon till 3 pm.

So, the final tempertaure at 3 pm = - 1.5°F + 7.2°F

                                                        =  5.7°F

Then, again the temperature by dropped 15.5°F from 3 pm to 6 pm.

So, the final tempertaure at 6 pm = 5.7°F - 15.5°F

                                                        = - 9.8°F

Therefore the temperature at 6 pm was - 9.8°F.

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Considering the definition of an equation and the way to solve it, the number is -3/7.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. This is, by changing the unknown to the solution, the equality must be true. To solve an equation, keep in mind:

Being "x" a number, and knowing that eight more than six times a number is the same as two less than 8 times the numbe, the equation in this case is:

8 + 6x= 2 - 8x

Solving:

6x + 8x= 2-8

14x= -6

x= (-6) ÷ 14

x= -3/7

Finally, the number is -3/7.

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The no. of sales made by the agent if he calls 20 clients is 43.

The basic equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line and can be represented graphically. A linear equation is a straightforward way of representing a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most cases, in a linear equation with one variable, a variable 'x' is used to represent the unknown quantity.

No. of sales =18.9476+1.1842x

Here x = no. of phone calls

The agent calls 20 client.

So, x = 20

Put x = 20 in the given no. of sales. equation

No. of sales = 18.9476 + (1.1842)(20)

No. of sales = 18.9476+23.684

No. of sales = 42.6316

Since the number of sales can't be in decimal numbers, so we will round off the given no. of sales.

Therefore, the no. of sales = 43

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Based on the graph of the function shown, we can logically deduce the following:

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of the discrete function shown, we can infer and logically deduce the following:

In conclusion, the function which this graph represents is a discrete function because both the domain and range have discrete set of values, rather than intervals.

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Answer: i got u

Step-by-step explanation:

2*8x+2=3*2x-7
16x+2=6x-7
-6x      -6x
10x+2=-7
     -2   -2
10x=-9
x=-9/10

[/tex]P(E)+P(E')=1 \\

P(E')=1-P(E)\\

where E and E' are opposite events

[tex]

P(E')=1-P(E) \\ P(E')=1- \frac{20}{31} \\ P(E')= \frac{31 - 20}{31} \\ P(E')= \frac{11}{31} \approx0.3548[/tex]

The Grassgreen required by the company to mix with 15 kg of Britegreen is 22.5 kg.

The price of Britegreen grass seed =  £18 per kilogram.

The price of Grassgreen grass seed = £21 per kilogram.

Let the weight of Grassgreen mixed be 'x'.

The weight of Britegreen mixed be 'y' = 15 Kg.

The ratio of of the weight s given as Britegreen: Grassgreen = 2:3.

Thus,

y/x = 2/3

Cross multiplying;

3y = 2x

Or,

x = 3y/2

Put y = 15

x = (3×15)/2

x = 22.5

The the weight of the Grassgreen be mixed with the 15 kg of Britegreen is 22.5 kg.

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Answer:

3/14,41,200√ least to greatest

Answer:

The maximum number of people that can be invited is 65.

Step-by-step explanation:

Based on the information given in the question, the equation to solve the question will be:

80 + 37x = 2500

80+37x=2500

Step 1: Simplify both sides of the equation.

37x+80=2500

Step 2: Subtract 80 from both sides.

37x+80−80=2500−80

37x=2420

Step 3: Divide both sides by 37.

37x/37 = 2420/37

x= 2420/37

x = 65.4

x ≈ 65

Answer:

41 adults and 82 kids

Step-by-step explanation:

divide 123 by 3 two parts are kids one part is adults.

Answer: The answer is in the picture!

Step-by-step explanation:

Answer: Option 1

Step-by-step explanation:

We need to multiply each coordinate by 3/2.

Answer: h=9 inches

Step-by-step explanation:

[tex]7.\\a.\\\displaystyle\\A=\frac{1}{2}bh \\[/tex]

Multiply both parts of the equation by 2:

[tex]2A=bh[/tex]

Divide both parts of the equation by b (b≠0):

[tex]\displaystyle\\\frac{2A}{b} =h\\\\Thus,\\\\ h=\frac{2A}{b}[/tex]

[tex]\displaystyle\\b.\\\\A=54\ in.^2\ \ \ \ b=12\ in.\\\\h=\frac{2*54}{12} \\\\h=\frac{2*54}{2*6} \\\\h=\frac{54}{6} \\\\h=9 \ in.[/tex]

The mean absolute deviation (MAD) of this data set is 3

The statement is given as

"all of the values are either 3 beats per minute above the mean or 3 beats per minute below the mean"

As a general rule, the mean absolute deviation of a dataset measures the average difference between each data element and the mean value of the dataset

From the statement, we have

Above/Below = 3 beats per minute

This means that

Mean absolute deviation = 3

Hence. the mean absolute deviation (MAD) of this data set is 3

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(A) 1.5 (IQR) is used to identify outliers in a set of data.

As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).

Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.

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The correct question is given below:
Which of the following is used to identify outliers in a set of data?

(A) 1.5(IQR)

(B) 1.5(range)

(C) 2(mean)

(D) 2(median)

Answer:

42/5% as a decimal is 8.4

The cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.

We are given that:

Cost of 4 pounds of walnuts and 8 pounds of chocolate chips = $ 21.

Cost of 2 pounds of walnuts and 3 pounds of chocolate chips = $ 9.

Let the cost of pounds of walnuts be x and the cost of pounds of chocolate chips be y.

So, we get the following equations:

4 x + 8 y = 21    …(1)

2 x + 3 y = 9

2 x = 9 - 3 y

x = 1 / 2 (9 - 3y)   …(2)

Put the value of x in (1)

4 ( 1 / 2 (9 - 3y) ) + 8 y = 21

2(9 - 3y) + 8 y = 21

18 - 6 y + 8 y = 21

2 y + 18 = 21

2 y = 21 - 18

2 y = 3

y = 3 / 2

y = 1.5

x = 1 / 2 (9 - 3y)

x = 1 / 2 ( 9 - 4.5)

x = 1 / 2 ( 4.5)

x = 2.25

Therefore, we get that, the cost for each pound of walnuts is $ 2.25 and each pound of chocolate chips is $ 1.5.

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Solution :  Distance between (-1/2, -1) , (5/8, -1) = .75

Distance Formula :

Distance between two points can be evaluated if we know the c

[tex]\sqrt{{(y2-y1)^{2} } +(x2-x1)^{2}][/tex] = XY

The difference between the x-axis coordinates gives the horizontal distance and the difference between the y-axis coordinates gives the vertical distance.

Distance between the points P and Q is calculated as follows:

S and T are the points on the x-axis which are endpoints of two parallel line segments PS and QT respectively.

⇒ PR = ST

Coordinates of S and T are (x1, 0) and  (x2, 0) respectively.

OS =  x1 and OT = x2

ST = OT – OS = x2 – x1 = PR

Similarly,

PS =  RT

QR = QT – RT = QT – PS = y2 – y1

By Pythagoras theorem,

PQ2 = PR2 + QR2

PQ = √[(x2– x1)2+ (y2– y1)2]

Therefore,

Distance between two points (x1,y1) and (x2,y2) is given by:

[tex]\sqrt{{(y2-y1)^{2} } +(x2-x1)^{2}][/tex]

distance between (-1/2, -1) , (5/8, -1)

[tex]XY = \sqrt{{(-1-(-1))^{2} } +(5/8-(-1/2))^{2}]\\\\\\\\\\\\XY = \sqrt{9/16}\\\\\\XY = 3/4\\XY = .75\\[/tex]

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Answer:

25 q + 10 d + 5 n + 60 = 187

Step-by-step explanation:

$1.87 = 1.87 x 100 = 187 cents or 187 pennies

Each quarter is worth 25 pennies so q quarters = 25q pennies

Each dime is worth 10  pennies so d dimes = 10d pennies

Each nickel is worth 5 pennies so n nickels = 5n pennies

so 25q + 10d + 5n + 60 = 187

Answer:

5 (1 + 5)

Step-by-step explanation:

It would be this because the 5 would distribute itself multiplying into the 1 and other 5 equaling 5 + 25 and it is in the distributive property.

The equation of the line in y = mx + c form is y = (-25/4)(x) + 5.

Here, we are given a line as shown in the figure.

Let us take 2 points that the line passes through. We can see that the line passes through (0, 5) and (0.8, 0)

Now, we have two points, we can find the slope of the line.

Slope is taken to be m. Thus,

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

here, (x1, y1) = (0, 5)

and (x2, y2) = (0.8, 0)

Therefore,

m = (0-5)/ (0.8 -0)

m = -5/0.8

we can simplify this as follows-

m = -50/8

m = -25/4

Thus, the slope of the line is -25/4.

Now, we already know that  (0, 5) is a point on the line. Thus, the y intercept of the line is 5.

⇒ c = 5

Now, substituting the values in the equation we get-

y = (-25/4)(x) + 5

Thus, the equation of the line in y = mx + c form is y = (-25/4)(x) + 5.

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The cost of staying at Hillsborough State Park in Thonotosassa, Florida, for 5 nights is 104 dollars.

A function can be thought of as an output for the given set of inputs.

According to the given question  PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee  of $20 per night.

This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the number of nights spent camping.

∴ The cost of staying for 5 nights we can determine by putting x = 5 in f(x).

So, f(5) = 20(5) + 4.

f(5) = 100 + 4.

f(5) = 104 dollars.

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The way that bivariate data would be displayed is through analysis  of them visually by the use of scatterplots.

A scatter plot is one that is typically used to show the bivariate data. Here, the y-axis is said to be plotted against the x-axis and this is one that is often done a grid of paper to show or depict the relationship between the provided data sets.

The act of Comparing the two sets of data or knowing a correlation between the two variables is the main goal of bivariate data.

Therefore, the use of scatterplot is the best way to graphically show bivariate data.

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Based on the amount that Luis earns per week, and the state flat rate income tax, Luis's state income tax for the week is $11.66

First, find out what Luis's earnings for the week were:

= Number of hours worked for the week x Earnings per hour

= 28 x 11.90

= $333.20

The state income tax is therefore:

= Amount earned weekly x State tax rate

= 333.20 x 3.5%
= $11.66

In conclusion, the state income tax of Luis for the week comes to an amount of $11.66.

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Answer:

The car passed the truck after 60 minutes.

Step-by-step explanation:

We should first find how far the truck was from the entrance to the highway when the car entered (after 11 minutes). We know that the distance travelled is the product of the time and speed, therefore, the location of the truck is given by [tex]d = 60 * 11 = 660[/tex].

Now we can build functions representing the distance from the entrance of both vehicles, in respect to the time travelled.

Truck's Function
[tex]x_0 = 660m \\ v = 60mph \\ \to x(t) = 660m + 60t[/tex]

Car's Function
[tex]x_0 = 0m \\ v = 71mph \\ \to x(t) = 71t[/tex]

Finally, we can equalize both functions to find out at what time the car passed the truck (when their graphs intercepted):

[tex]660 + 60t = 71t \\ \to 660 = 11t \\ \to t = 60m[/tex]