What expression is equivalent to -6(t+9)

[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=224\\ w=\stackrel{\textit{half-length plus 6}}{\frac{L}{2}+6~\hfill } \end{cases}\implies 224=L\left( \cfrac{L}{2}+6 \right)\implies 224=\cfrac{L^2}{2}+6L[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2(224)=2\left( \cfrac{L^2}{2}+6L \right)}\implies 448=L^2+12L \\\\\\ 0=L^2+12L-448\implies 0=(L-16)(L+28)\implies \boxed{L= \begin{cases} -28\\\\ 16 ~~ \textit{\LARGE \checkmark} \end{cases}} \\\\\\ \stackrel{\textit{since we know that}}{w=\cfrac{L}{2}+6}\implies w=\cfrac{16}{2}+6\implies \boxed{w=14}[/tex]

now, let's notice, "L" has two valid values but for this case "L" cannot be negative.

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

[tex](-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)[/tex]

Putting the x-coordinates in (1),

[tex]-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7[/tex]

Similarly, putting the y-coordinates in (1),

[tex]2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2[/tex]

Hence, the coordinates of B are (-7,-2).

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Answer:Qadrant 4

Step-by-step explanation:

Answer:

134.77

Step-by-step explanation:

Round 134.76821 to the nearest hundredth

by placing each number in reference to what they represent.

1 - hundreds

3 - Tens

4 - units

.7=Tenth

.76=Hundredth

.768=Thousandth

.7682=Ten Thousandth

.76821= Hundred Thousandth

Nearest hundredth will be

134.[76]821

since 2,1 are both round down numbers they will produce approximately 0

since 8 is a round off number it will produce approximately 10

134.77000

or 134.77

you can award the answer as brainliest

Answer:

5/48

Step-by-step explanation:

The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

James shares 5/8 of a cake between 6 people.

Now, 1/6 of 5/8 will be as,

1/6(5/8) = 5/48

Hence "The fraction of people getting cake will be 1/6 of 5/8 thus it will be 5/48".

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Answer:

f and g 231

Step-by-step explanation:

Answer:

Thank you,Hope you like it and it will help you

The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

According to the question,

We have the following information:

The perimeter of the rectangle is less than 122.

A rectangle has a width of x and a length of x plus 4.

Now, the expressions for the width and length of the rectangle are given below:

Width = x units

Length = (x+4) units

We know that the following formula is used to find the perimeter of rectangle:

2(length+width) < 122

2(x+4+x) < 122

2(2x+4) < 122

Dividing by 2 on both sides:

2x+4 < 122/2

2x+4 < 61

Subtracting 4 from both sides:

2x < 61-4

2x < 57

Dividing by 2 on both sides:

x < 57/2

x < 28.6

Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.

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Answer:

  (d)  24/49

Step-by-step explanation:

You want to know P(A|B) when P(AB) = 3/7 and P(B) = 7/8.

The general equation for conditional probability tells you ...

  P(A|B) = P(AB)/P(B)

  P(A|B) = (3/7)/(7/8) = (3/7)·(8/7)

  P(A|B) = 24/49

[tex]meter^{1`} *meter^{1} \\=meter^{1+1} \\=meter^{2}[/tex]

⇒Mote I used the laws of exponents    : [tex]=x^{m} *x^{n} \\=x^{m+n}[/tex]

Your answer might be 16.31 inches for each headband and wristband for each player.

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

Hope this helps!

Joke: What has ears but can’t hear a thing?

Answer: A cornfield.

Have a great day and God bless! :D

Step-by-step explanation:

4x² + 12x + 8 = 0

this has the same solutions as

x² + 3x + 2 = 0

as we simply divided everything by 4. 0/4 = 0.

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case that is

x = (-3 ± sqrt(3² - 4×1×2))/(2×1) =

= (-3 ± sqrt(9 - 8))/2 = (-3 ± sqrt(1))/2

x1 = (-3 + 1)/2 = -2/2 = -1

x2 = (-3 - 1)/2 = -4/2 = -2

so, the 2 solutions are

x = -1

or

x = -2

Measure of largest. smallest and middle angle of a triangle under given conditions is 145°, 15° and 20° respectively.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

According to the given question:

Let the measure of middle angle = x

The measure of the smallest angle is three-quarters the measure of the middle angle.

∴ Smallest angle = (3/4)x

The measure of the largest angle in a triangle is 110° larger than the sum of the measures of the other two angles.

∴ Largest angle = 110° + x + (3/4)x

Now, by Angle sum property of a triangle

x + (3/4)x + 110° + x + (3/4)x = 180°

On solving for the value of x we get

2x + (3/2)x = 70°

7x = 140°

x = 20°

Therefore,

measure of middle angle x = 20°

measure of smallest angle (3/4)x = 15°

measure of the largest angle 110° + x + (3/4)x = 145°

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13492928512 is the last term (7th term )of binomial expansion of the given expression so therefore it has no coefficient .

The binomial theorem is a way to bring the formulation to a finite power.

The binomial theorem is a effective extension device with packages in algebra, probability, and more.  A binomial is an algebraic expression containing  wonderful terms.

it has been attached below b'coz' that was not possible to type here

hope that image is clear .

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Answer: B

Step-by-step explanation:

it has to do with simallar mathematics of 12th grade so you can do the sum

its pretty ez cuz im a 12th grader

The price of one pear is $0.85

Cramer's rule is one of the useful methods used for solving a system of equations. In this method, the values of the variables in the system are to be calculated using the determinants of matrices. Thus, Cramer's rule is also known as the determinant method.

Given that: John buys 7 apples and 4 pears for $7.25 and at the same prices, Hayley buys 5 apples and 9 pears for $10.40

We will use this given information to form equations in matrices form. Let a and p represent the prices of one apple and one pear respectively.

The equation is:

7a + 4p = 7.25

5a + 9p = 10.40

The matrix formed is:

[tex]C=\left[\begin {array}{ccc}7&4\\5&9\end{array}\right][/tex] ,   [tex]b=\left[\begin {array}{ccc}7.25\\10.40\end{array}\right][/tex]

Find the determinants,

D =  (7 x 9) - (5 x 4) = 43

Da =  (7.25 x 9) - (10.40 x 4) = 23.65

Dp =  (7 x 10.40) - (5 x 7.25) = 36.55

a = Da/D = 23.65/43 = 0.55

p = Dp/D = 36.55/43 = 0.85

Since p = 0.85. Therefore, the price of one pear is $0.85

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If the plumber charges a customer $45 , then the visit was 0.5 hours long .

In the question ,

it is given that

the fixed charge to visit a client's home is = $35

additional per hour charge of plumber is = $20 .

let the time taken by plumber in the customer house be "x" .

So , according to the question

the equation for total charge is

total charge = 35 + 20x

given the customer paid $45 ,

So , 45 = 35 + 20x

20x = 45 - 35

20x = 10

x = 10/20 = 0.5

Therefore , If the plumber charges a customer $45 , then the visit was 0.5 hours long .

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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The number 5.96 × 10⁴ is 20 times greater than 2.98 × 10³ , the correct option is (a) .

In the question ,

it is given that

the number is 5.96 × 10⁴ ,

we have to find that how many  times greater is 5.96 × 10⁴ then 2.98 × 10³ .

to find that the number is how many times greater ,

we divide 5.96 × 10⁴ by 2.98 × 10³ .

So , on dividing the numbers we get

= ( 5.96 × 10⁴ ) / ( 2.98 × 10³ )

= 5.96/2.98 × 10⁴⁻³

= 2 × 10¹

= 20 times

Therefore , The number 5.96 × 10⁴ is 20 times greater than 2.98 × 10³ .

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The equation of the linear function is y=8x+(-8).

What do you mean by equation?

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Take the example of 3x + 5 = 15. Equations can be of several sorts, including linear, quadratic, cubic, and others.

According to data in the given question,

We have points (0,-8) and (1,0), thus

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{(0-(-8))}{1-0} \\=8[/tex]

Then

y=8x+b

Points (0,-8) means that when x=0, y=-8 and we use this to find b,

y=8x+b

-8=8(0)+b

-8=0+b

b=-8

So, y=8x+(-8)

Therefore, the equation of the linear function is y=8x+(-8).

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Answer:

I believe the answer is C

Step-by-step explanation:

1. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:

                                      LIFO           FIFO      Weighted-Average

Ending inventory          $425          $691                $573

Cost of goods sold      $492          $226               $344

FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.

LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.

The weighted-average method uses the average cost of goods to compute the ending inventory and the cost of goods sold.

LIFO:

Ending inventory = $425 ($917 - $492)

Cost of goods sold = $492 (12 x $20 + 12 x $21)

FIFO:

Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)

Cost of goods sold = $226 ($917 - $691)

Weighted Average:

Ending inventory = $573 (40 x $14.33)

Cost of goods sold = $344 (24 x $14.33)

                                   Units  Unit Cost    Total Cost

Jan. 1      Beg. Inventory  20     $8.00           $160

May 10   Purchases          15     $11.00           $165

June 30 Purchases          17    $20.00         $340

Dec. 10  Purchases          12    $21.00          $252

Total                                64                          $917

Units sold                       24

Ending inventory           40 (64 - 24)

Average cost = $14.33 ($917/64)

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Answer:

she wrote 1 million. It's 100,000

Step-by-step explanation:

she wrote 1 million. It's 100,000

The constant of variation is 1.75 for every unit increase in x (weight), and the cost(y) value increases by $ 1.75.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The difference between two consecutive entries is constant, as we can see = 1.75

⇒ 7 - 5.25 = 1.75

⇒ 8.75-7 = 1.75

⇒ Slope(m) = 1.75

The slope represents the variable's rate of change.

y - 3 = m(x - 5.25)

y - 5.25 = 1.75(x-3)

y = 1.76x

Thus, the constant of variation is 1.75

This indicates that for every unit increase in x (weight), the cost(y) value increases by $ 1.75.

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The question seems to be incomplete the correct question has been attached

The probability of selecting two cards that are not orange, is 0.483 and the probability of selecting two cards that are not red and green, is 0.393.

In the given question we have to find the probability.

From the question it is given that,

10 yellow, 6 green, 9 orange, and 5 red cards facedown.

Total number of cards = 10+6+9+5

Total number of cards = 30

Once a card selected, NOT replaced.

a.) Now finding the probability of selecting two cards that are not orange.

There are total orange cards = 9

The number of cards except orange card = 21

Then the probability of selecting one card except orange = 21/30

Then the probability of selecting other card except orange = 20/29

Then the probability of selecting two cards that are not orange is

P(O) = 21/30 * 20/29

P(O) = 420/870

P(O) = 0.483

Then the probability of selecting two cards that are not orange, is 0.483.

(b) Now finding the probability of selecting two cards that are neither red nor green.

The total number of cards except red and green card = 19

Then the probability of selecting one card except red and green card = 19/30

Then the probability of selecting other card except red and green card = 18/29

Then the probability of selecting two cards that are not red and green card is

P(RG) = 19/30 * 18/29

P(RG) = 342/870

P(RG) = 0.393

Then the probability of selecting two cards that are not red and green, is 0.393.

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After solving the formed equation from the question, the result will be equal to 4.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

The given statement of the question in the equation form will be,

5x + 12 = 32

5x = 20

x = 4

Therefore, the value of x will be equal to 4.

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Your complete question must be like this:

The product of a number and 5 is increased by 12 the result is 32 to find the number​.

The interval where the product will be at least break even equals to 18 units.

In accounting, the break-even point refers to the production level at which total revenues equal total expenses.

Given data

Cost is given as C = 45x + 450

Revenue is given as: R = 70x

In this case, the point of breakeven will be:

Cost = Revenue

45x + 450 = 70x

We will collect like terms:

70x - 45x = 450

25x = 450

We will divide both side by 25:

25x/25 = 450/25

x = 18

Therefore, the interval where the product will be at least break even equals to 18 units.

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Answer:

25+10(4)= 65

Step-by-step explanation:

think of it as she makes 10 dollars an hour plus then she gets a 25 dollar bonus so you multiply the number of hours by 10 then and the bonus

Answer: $65

Step-by-step explanation:

25+10h h=4

25+10x4=

25+40=

65