3x ^ 2 = 1 / 3 x + 1 ​

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

Answer:

60.5 mL

Step-by-step explanation:

Since 17.7% of the solution is acid, and we have 342 mL in total, we just multiply 342 x 0.177 to get 60.5 mL of acid.

I hope this is correct, Best of luck!

Answer: 78 floors total

Step-by-step explanation:

if 13=1/6

6 x 13=78

Answer:

13*6=78

Step-by-step explanation:

If one part of something is equal to 13, then 6 parts are equal to 13*6. Let us denote that "something" by x, and we get

\(x = 6 \times \frac{1}{6} x = 6 \times 13\)

Which is obviously an identity

Answer:

8.54

Step-by-step explanation:

If thousandth's place is ≥ 5 , then add 1 to the hundredth place.

6.487 = 6.49

2.049 = 2.05

6.487 + 2.049 = 6.49 + 2.05  = 8.54

Answer:

3/4

Step-by-step explanation:

rise 3 then run 4 rise/run

Answer:

I'm not drawing a tree but  2 x 3 x 5^2=150

Step-by-step explanation:

A percentage is a way to describe a part of a whole. The number of people who don't have pets is 50 people.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given at the Red bridge School, 1/3 of pupils have a pet dog 2/5 have cat and 1/15 have a hamster.

A.) Number of people who don't have pets = 1 - 1/3 - 2/5 - 1/15

                                                                        = (15-5-6-1)/15

                                                                        = 3/15

                                                                        = 1/5

B.) Given there are 25 people at the school. Therefore, the number of people who don't have a pet is,

Number of people who don't have pets = (1/5) × 250 = 50

C.) The percentage increase of pupils at the Bluebell School that has no pets compared to the Red bridge School is,

Percentage increase = (23%-20%)/20% × 100% = 15%

Hence, the number of people who don't have pets is 50 people.

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It will take 12 weeks for Praisys corn to be ready for picking.

We have been given that,

 Maya plants corns In = 4 rows

 Praisy plants corns in  = 6 rows

Maya corns ready to be picked in = 8 weeks

We have to find the number of weeks will it take Praisys corn to be ready for picking.

To find we will use the unitary method that is,

            4 rows = 8weeks

            6 rows = 8/4*6 weeks

                         = 12 weeks

Thus 12 weeks will it take Praisys corn to be ready for picking.

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Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

4

Step-by-step explanation:

Answer: 7

Step-by-step explanation: 538÷11=48 + 10

so to get remainder 3 subtract 7 from 538

Therefore, Dorie needs to sell the dress for $349.93 in order to mark it back to its regular selling price.

What is selling price?

Selling price refers to the price at which a product or service is sold to customers. It is the amount of money that a buyer pays to the seller in exchange for the product or service. The selling price is usually higher than the cost price, which is the amount that the seller paid to acquire or produce the product or service. The difference between the selling price and the cost price is called the profit margin, and it is the profit that the seller makes on the sale of the product or service.

If a dress had been marked down 70%, this means that it is being sold for only 30% of its original selling price.

Let P be the original selling price of the dress. Then:

0.3P = $104.98

Solving for P, we get:

P = $104.98 / 0.3

P = $349.93

Therefore, Dorie needs to sell the dress for $349.93 in order to mark it back to its regular selling price.

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All of the work:

How to solve the amount of pizza she needs:

20 x 3 = 60

60 divided by 10 = 6

How to solve the amount of soda bottled needed:

20 x 16 = 320

320 divided by 64 = 5

How to solve the number of pans she needs:

20(2 x 3) = 40 x 60

40 x 60 divided by 8 x 12 = 5

Number of pizza she needs:6 pizza, costs $77.94

Number of soda bottles she needs:5 bottles, costs $8.45

Number of pans she needs:5 pans, costs $11.95

Add 77.94, 8.45, and 11.95 and get 98.34

Answer:

2nd one.

Step-by-step explanation:

Answer:

2.120 kg= 2.12 kg.

Step-by-step explanation:

As you can clearly tell, 2.120 is equal to 2.12, because the 0 to the right of all the numbers and the period doesn't add or substract anything from the number.

Therefore, 2.120 kg= 2.12 kg.

Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

is is 169.47058823 yes this the anser

An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

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a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

11.

Step-by-step explanation:

The value of the numerical expression 6 – [(4 + 20 × (–2) ÷ 4) + 1] will be 11.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ 6 – [(4 + 20 × (–2) ÷ 4) + 1]

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ 6 – [(4 + 20 × (–2) ÷ 4) + 1]

⇒ 6 – [(4 – 40 ÷ 4) + 1]

⇒ 6 – [(4 – 10) + 1]

⇒ 6 – [–6 + 1]

⇒ 6 – [–5]

⇒ 6 + 5

⇒ 11

The value of the numerical expression 6 – [(4 + 20 × (–2) ÷ 4) + 1] will be 11.

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Answer:LCM(330, 75, 450, 225) = 4950

Step-by-step explanation:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

LCM(330, 75, 450, 225)

= 2 × 3 × 3 × 5 × 5 × 11

= 4950

GCD(330, 75, 450, 225) = 15

Hello!

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(a) y = 36° and x = 36°

DAB = 90°

so y = 90° - 54° = 36°

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

AB // DC

so x and y are alternate-internal

so x = y = 36°

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(b) y = 73° and x = 68°

SPQ = 90°

so yPQ = 90° - 51° = 39°

the sum of the angles of the triangle PQR = 180°

so y = 180° - (39° + 68°) = 73°

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

PSy = 90°

the sum of the angles of the triangle PSy = 180°

so PyS = 180° - (51° + 90°) = 39°

SyxR is a flat angle = 180°

so x = 180° - (39° + 73°) = 68°

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(c) y = 36° and x = 54°

The center of the triangle is K.

So the triangles NKO, MKP, MNK, POK are isosceles

NKO = MKP and MNK = POK

MKP and NKO are opposed

so MKP = NKO = 72°

K is a full angle = 360°

so MKN and PKO = 360° - (72° + 72°) = 216°

so MKN = PKO = 216°/2 = 108°

PMN = y so because MKN is isoscel.

so we know x + y = 90° because PMN = 90°

and so we know PON = OPM = y

and so we know KNO = KON = x

the sum of the angles of the triangle KNO = 180°

so KNO and KON = 180° - 72° = 108°

so x = 108°/2 = 54°

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

the sum of the angles of the triangle MKN = 180°

so KMN and KNM = 180° - 108° = 72°

so y = 72°/2 = 36°

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Answer:

log a + 3 . log c - log b

Step-by-step explanation:

2nd option is the correct answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

✌️❤️✌️

Answer:

Step-by-step explanation:

6^2m × 4^-m÷ (3^m)^2 = \(\frac{6^{2m} * 4^{-m}}{(3^{m})^{2}}\\\)

                                     \(= \frac{(3*2)^{2m}*(2^{2})^{-m}}{3^{2*m}}\\\\=\frac{3^{2m}*2^{2m}*2^{-2m}}{3^{2m}}\\\\\\=3^{2m-2m}*2^{2m-2m}\\\\=3^{0}*2^{0}\\\\=1*1\\= 1\)

Hint:

\(a^{m}*a^{n}= a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\)

The value of the given relation of the parallelogram to justified the relation of the given part is x = 7, y = 9 and z = 17.

What about the property of parallelogram?

A parallelogram is a four-sided flat shape that has two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are also equal. The parallel sides of a parallelogram are usually denoted by "a" and "b", while the height or perpendicular distance between the parallel sides is denoted by "h"

Define relation:

A relation is a set of ordered pairs that describe the relationship between two or more variables. Specifically, a relation is a set of ordered pairs (x, y) where x and y belong to some sets of objects, called the domain and range, respectively.

For example, consider the relation R between the set of all real numbers and itself defined by:

R = {(x, y) | y = x²}

This relation is a set of ordered pairs where the second element (y) is equal to the square of the first element (x). In this case, the domain and range of the relation R are both the set of all real numbers.

According to the given information:

As, we know opposite side of parallelogram are equal so,

10x + 14  = x + 77

9x = 63

x = 7

In the same way we also know that in case of parallelogram diagonal bisect equally to each other so,

4y-19 = y + 8

3y = 8 + 19

y = 9

And,

2z + 3 = 37

2z = 34

z  = 17

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Answer:

If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

Hey there! :)

Answer:

A. x + 4

D. x + 2

Step-by-step explanation:

Starting with:

x² + 6x + 8

Find numbers that add up to 6 and multiply to 8. We get:

2, 4.

Put these into the factors:

(x + 2)(x + 4)

Therefore, the correct answers are:

A. x + 4

D. x + 2