An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1 4 inch will represent 1 foot of the room’s actual width.What will be the width of the Great Room, in inches, on her floor plan?

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

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-5: negative five

-: minus

4n: a number times four

Put everything together.

Negative give minus a number times four.

Best of Luck!

The sales price is 44. 37 dollars.

Answer: $44.37

Step-by-step explanation:

63.38 x 30/100 (or x 0.3)

You save: $19.01

$63.38 - $19.01 = Final price of $44.37

Answer: Group 1 is the dependent variable, and group 2 is the independent

Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.

The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Answer:

(1, 28 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus

midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )

x = a number

6(x+5)=16

Answer:

If you're using x for "a number" then: 6(x+5)=16

Answer:

The y-intercept is -6.

Step-by-step explanation:

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1

Answer:

21

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

or

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

Answer:

$6.00-($2.00+$4.50)

in other terms, 6 - (2 + 4.5)

Step-by-step explanation:

So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.

To get how much all together, we have to add. 2 + 4.5

Now that we now how to get the total amount, out them in parentheses and add the 6 infront.

Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.

All this leads to the expression: 6 - (2 + 4.5)

Hope this helps :)

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places.  The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.  

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit.  In the number given, the number 8 is in the hundredths place.  Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place.  This makes our answer 4,672.18.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]30x+18=35−4x[/tex]

First of all using the addition property add 4x to both sides

That's

[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]

Divide both sides by 34

That's

[tex] \frac{34x}{34} = \frac{17}{34} [/tex]

We have the final answer as

[tex]x = \frac{1}{2} [/tex]

Hope this helps you

In 6d + 8 = 14 + 3d , D=2

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

y = mx + b

m is the slope and b is the y intercept, if I remember correctly

hope this helps :)

Answer:

Step-by-step explanation:

g(x) = -2x - 4

f(-2x -4)

5(-2x - 4) + 7

-10x - 20 + 7

-10x - 13

Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide

Answer:

17. 13

18. 3x + 12

19. 1/4

Step-by-step explanation:

17.

[tex]3a + b = 3(5) - 2 \\ = 13[/tex]

18.

[tex]3(x + 4) = 3x + 12[/tex]

19.

[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]

Answer:

Step-by-step explanation:

17. 3(5) + 2 = 15 + 2 = 17

18. 3(x + 4) = 3x + 12

19. 3/(3+4+5)= 3/12= 1/4

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

Answer:

The answerer to this question is a 34

Step-by-step explanation:

Answer:

A. 34

Step-by-step explanation:

Answer:

-3d = 43-10

-3d = 33

d = 33/-3

d = -11

Answer:

d = 11

Step-by-step explanation:

Simplifying

3d + 10 = 43

Reorder the terms:

10 + 3d = 43

Solving

10 + 3d = 43

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 3d = 43 + -10

Combine like terms: 10 + -10 = 0

0 + 3d = 43 + -10

3d = 43 + -10

Combine like terms: 43 + -10 = 33

3d = 33

Divide each side by '3'.

d = 11

Simplifying

d = 11

Hope this helps!

Answer:

x = -2 y= -2

Step-by-step explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

Answer:

Step-by-step explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)

Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Answer:Aka) A

Step-by-step explanation:

Answer:

9.62

Step-by-step explanation:

Simplify the expression.

(6.42)+(-3.2)= 9.62

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

Answer:I believe it's 31,771

Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.

Scott earns $31,771 altogether during those three months.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

We have to determine that Scott earn altogether during those three months.

We have been given that in January, Scott earned $8,999.

In February, he earned $2,387 more than in January.

So we have to add the amount of January and 2,387, we get

⇒ 8,999 + 2,387 = 11,386

In March, Scott earned the same amount as in February.

So the amount of March = 11,386

Therefore, He earns altogether during those three months as

⇒ 8,999 + 11,386 + 11,386

Apply the Addition operation in the above expression,

⇒ 31,771

Hence, Scott earns $31,771 altogether during those three months.

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Answer:

2

Step-by-step explanation:

hold one finger up, and add another, then count how many fingers you have

Answer:

2

Step-by-step explanation: