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Answer:

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We see two sides and one angle marked as congruent on both triangles.

The congruent angle is not included.

It means we can neither state it is ASA nor SAA as both of these require two congruent angles.

Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

The term "ordered pair" refers to a pair of two variable that are shown in a way that they convey a specific order.

In an order pair, the first term denotes the x- and second term, the y-coordinates. The ordered pair is written in close brackets as shown in the example below.

Here ,

Is an equation system:

A set of equations is referred to as a system of equations when a limited set of equations is available and a common solution is sought.

The intersection of two lines, for the two equations drawn on a graph, represents the system's solution.

In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).

Therefore ,the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).

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Answer:

216

Step-by-step explanation:

By unitary method, you can get  joules by $1.

When given a percentage of an amount, the unitary method can be used to determine the full amount. For instance, if $23 represents 10% of a sum of money, then $10 times $23 equals $230. $6000 is equal to 8% of a sum of money.

Price of 1 Gallon= $3

Energy produced by 1 gallon =  joules

by $1 , you can get 1/3 gallon

energy produced by 1/3 gallon = = joules

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Answer:

a=7b/11

Step-by-step explanation:

11a=7b

11a/11=7b/11

a=7b/11

Answer: 11a=7b

-divide 11 from both sides

you'll end up with this result:

a=7b/11

There will be a total of 430 pages in the book or the length of the book in pages = 430.

Adrianne reads 275 pages

She is left with 155 pages.

So, for converting the above in form of an equation,

Let us assume that the total pages in the book be x

Let us assume that the total number of pages she read = a

Assuming that the total remaining pages that she does not read = b

So, the total number of pages will be = total pages which she read + total remaining pages.

=> x = a+b

Now, solving the values given in the questions,

The value of a = 275 and the value of b = 155

So, the total number of pages in the book = 275+155 = 430

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Answer:

153

Step-by-step explanation:

Just plug the 9 in for every x in the equation. Your final answer should be 153.

A is the variable and X is the coefficient term in the supplied  X2 expression. An algebraic expression is used to solve a particular mathematical problem .

In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.

given

The coefficient term is denoted as X2, and the variable is A.

An algebraic expression is used to solve a particular mathematical problem by combining words and numbers.

For instance, the numerical coefficient in the equation 5x is 5, meaning that the variable x has been multiplied by 5 times.

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Answer: $1.05

Step-by-step explanation:

The profit made will be calculated as the difference between the selling price and the cos price. This will be:

= Selling price - Cost price

= $6.30 - $5.25

= $1.05

Therefore, Jerry will make $1.05 profit on each baseball card that's sold.

Answer:

D. 8

Step-by-step explanation:

8*3=24

8*5=40

8*4=32

Answer:

You can represent "the opposite of Shana's temperature is equal to Pearl's" as follows:

(-20 C) + (-x) = x

Where x represents Pearl's temperature.

Alternatively, you can also write it as:

20 C - x = x

Both of these equations are equivalent and mean the same thing: the opposite of Shana's temperature is equal to Pearl's temperature.

Step-by-step explanation:

20 degrees Celsius

The temperature in Pennsylvania is the opposite of the temperature in Canada, therefore -20⁰ Celsius in Canada would then be 20⁰ Celsius in Pennsylvania.

Answer:

(20-5)/(-4-1)

15/-5= -3

Answer:

.

Step-by-step explanation:

......

.........................

Answer:

£15158.00

Step-by-step explanation:

The profit on the sale of 1 computer is the difference between the selling price and the buying price.

Profit on 1 computer:

£2081.00 - £915.00 = £1166.00

The profit on 13 computers is 13 times the profit on 1 computer.

13 × £1166.00 = £15158.00

Answer: £15158.00

Answer:

m/_A= 84

Step-by-step explanation:

Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

Combinations are operations in mathematics that count the number of possible combinations that can be created from a set of items, where the selection's direction is immaterial. You are free to select any arrangement of the parts. Permutations and combinations can be mixed up.

Here,

There still are 14 teams in all, but each team plays the other twice.

Every team plays almost every team twice, hence the total amount of games played is simply the permutations of 2 out of 14, which is determined by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Consequently, there were 182 games played in all.

Therefore , the solution of the given problem of combination comes out to be  there were 182 games played in all.

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Answer: Option B

Step-by-step explanation:

Answer:

A square of side length 40 m will give the maximum area of the play area

Step-by-step explanation:

Mathematically, it has been established that a square gives the maximum area of a quadrilateral

Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square

From what we have, we know that the perimeter of the fencing is 160 m

To get the side length, we divide the perimeter by 4

Side length of the shape would be 160/4 = 40 m

Answer:

8. b

9.C

10.a

11.a

12. c

13. b

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Answer:

Mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value

Answer:

Step-by-step explanation:

We would require 400 square tiles, each measuring one square foot, to cover the whole surface of the square room.

If the perimeter of the room is 80 feet, we know that all four sides of the square room have the same length. To find the length of each side, we can divide the perimeter by 4: 80 feet / 4 = 20 feet.

Now that we know the length of each side of the room, we can find the area of the room by squaring that measurement: 20 feet x 20 feet = 400 square feet.

To find the number of floor tiles needed to cover the area of the room, we divide the total area of the room by the area of each tile: 400 square feet / 1 square foot/tile = 400 tiles.

So, to cover the entire area of the square room, we would need 400 square tiles of one square foot each.

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Answer:

[tex]y\leq \frac{3}{2}x+1[/tex]

Hope this helps! :)

Taking into account the definition of a system of linear equations, the length and width of the rectangle is 22.5 cm and 19.5 cm respectively.

Systems of linear equations are groupings of first degree equations with the same unknowns, of which a common solution must be found.

In the systems of equations, the values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

2x + 2y= 84

x= y + 3

The substitution method is a way to solve systems of equations. To use the substitution method, you choose an equation and find an expression for one of the variables in terms of the other variable. Then substitute that expression for the variable in the other equation.

In this case, substituting the second equation in the first one you get:

2×(y+3) + 2y= 84

Solving:

2y+ 2×3 + 2y= 84

2y+ 6 + 2y= 84

2y + 2y= 84 - 6

4y= 78

y= 78÷4

y= 19.5

Replacing this value in the second equation, you get:

x= 19.5 + 3

x= 22.5

Finally, the length of the rectangle is 22.5 cm and the width of the rectangle is 19.5 cm.

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The quadrant 1 of the graph is in the place of upper right quadrant.

the term graph in math is referred as a non-linear kind of data structure made up of nodes or vertices and edges

Here we have given that we have to find the place of quadrant 1.

In order to find that we must know that definition of quadrant in math that is one other than the region/part of a cartesian plane which is obtained when the two axes intersect each other and it is used to determine the position of a point in a plane.

As we all know that the first quadrant is in the upper right-hand corner of the plane.

And here we all also know that both x and y have positive values in this quadrant.

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Complete Question:

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Let ŷ represent the profit (in thousands of dollars) for a certain company xx years after 1960. A statistician calculates a linear model  

ŷ = -1.23 x + 16.07  

Use the model to estimate the profit in 1965. Your answer should be in dollars, not thousands of dollars.

Answer:

[tex]\=y =\$9.92[/tex]

Step-by-step explanation:

From the question we are told that:

Number of years [tex]N=1960-1965=>5years[/tex]

Linear model    [tex]\=y = -1.23 x + 16.07[/tex]

Therefore Inputting values into the model we have

[tex]\=y = -1.23 (5) + 16.07[/tex]

[tex]\=y = -6.15+ 16.07[/tex]

[tex]\=y =\$9.92[/tex]

After he trimmed it, it was [tex]84\frac{3}{8}[/tex] inches tall. This can be solved using expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

The expression becomes:

= [tex]84\frac{5}{8} - [{4 * (\frac{1}{16})][/tex]

= [tex]84\frac{5}{8} - [\frac{1}{4}][/tex]

= [tex]84\frac{3}{8}[/tex]

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