70%of $10 =$
Complete the following the statement

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.

Learn more about system of equations:

brainly.com/question/14323743

brainly.com/question/1365672

brainly.com/question/20533585

brainly.com/question/20379472

#SPJ1

Complete Question:

Flag

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]

Answer:

153

Step-by-step explanation:

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

The way to find the horizontal asymptote of the limit is evaluate the limit of the function as it approaches infinity, and again as it approaches negative infinity.

The term asymptote in math is defined as  a line that the graph of a function approaches as either x or y go to positive or negative infinity.

Here we have to find the horizontal asymptote of a limit.

The process of finding the horizontal asymptote is the line y = 0 is called the asymptote of the graph, and it also represents the value that f(x) will never quite reach.

Here we can also say that f ( x ) = 1 x is asymptotic to the line y = 0.

To know more about Asymptote here,

https://brainly.com/question/2303876

#SPJ4

The simplified form of radical √18 . 3√5 = 9√10

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol.

For example, ³√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.

The term underneath the radical symbol is called the radicand.

Given radical

√18 . 3√5

⇒ √(9 × 2) . 3√5

⇒ 3√2 . 3√5

⇒ 9(√2.5)

⇒ 9√10

⇒ 28.46

Hence, The radical √18 . 3√5 can be simplified to 9√10 having value = 28.46

Learn more about radicals here:

https://brainly.com/question/1597269

#SPJ1

The value of expression -x³+3x²+5x+1 is -1235 when x is 12

An expression is combination of variables, numbers and operators.

Given polynomial is -x³+3x²+5x+1

We need to find the value of the polynomial when x is 12.

To find this we just need replace x with 12

-(12)³+3(12)²+5(12)+1

Minus twelve cube plus three times of twelve square plus five times of twelve plus one

-1728+3(144)+5(12)+1

-1728+432+60+1

-1728+493

-1235

Hence, the value of expression -x³+3x²+5x+1 is -1235 when x is 12

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:

D. 8

Step-by-step explanation:

8*3=24

8*5=40

8*4=32

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]

To know more about expressions refer to:

brainly.com/question/1859113

#SPJ4

Answer:

216

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.

To learn more about the area of the square, refer to the link:brainly.com/question/11505374

#SPJ4

Answer:

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

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.

To know more about combination , visit

https://brainly.com/question/20211959

#SPJ1

Answer:

.

Step-by-step explanation:

......

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

Answer:

9.7

Step-by-step explanation:

[tex]cos(59)=5/x\\\\x*cos(59)=5\\\\x=5/cos(59)\\\\[/tex]

x ≈ 9.7

Answer:

----------------------------

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.

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

Answer: Option B

Step-by-step explanation:

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:

Answer: 1/2

Step-by-step explanation:

Number of red balloons = 17

Number of purple balloons = 11

Number of orange balloons = 3

Number of green balloons = 1

Number of yellow balloons = 2

Total number of balloons = 34

The probability that a randomly selected balloon will be red will be:

= Number of red balloons/Total number of balloons

= 17/34

= 1/2

Answer:

the volume of triangular prism in cubic meters is 5*12+3*13=99

5×12×3×13=2340

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

To know more about unitary method visit:-

brainly.com/question/22056199

#SPJ4

Answer:

$270

Step-by-step explanation:

20% of 225 is 45. So, 225+45=270

Answer:

d) 76

Step-by-step explanation:

there are 180 degrees inside a triangle

so, 40+(3x+10)+(2x+20) = 180

combine 'like terms' to get:

5x + 70 = 180

subtract 70 from each side to get:

5x = 110

divide each side by 5:

x = 22

m∠BCA = 3(22)+10

= 66+10

= 76°

Answer:

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

Hope this helps! :)

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.

To know more about variable visit :-

https://brainly.com/question/2466865

#SPJ4

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).

To learn more about the ordered pair here;

brainly.com/question/5754926

#SPJ1