Solve system of equations using substitution method

2x-3y=6
x + y = -12

Answer:

Step-by-step explanation:

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

2 * 5 = 10

Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

Answer:

8

Step-by-step explanation:

let one of the number be x

other number = x +9

if their sume is 25

X + X + 9 = 25

2X +9 = 25

2X = 25 - 9

2X = 16

X = 16/2

X= 8

Answer:

8 and 17

Step-by-step explanation:

a = b + 9      Eq. 1

a + b = 25    Eq. 2

Replacing Eq. 1 on Eq. 2

(b+9) + b = 25

2b + 9 = 25

2b = 25 - 9

2b = 16

b = 16/2

b = 8

from the Eq. 1

a = b + 9

a = 8 + 9

a = 17

Check:

from the Eq 2

a + b = 25

17 + 8 = 25

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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The value of the sine of the angle is 9/13 in the supplied value. Choice A

This relationship is based on the reciprocal interaction between the sine (sin) and cosecant (cosec) functions. The cosecant of an angle is the reciprocal of the sine of that angle.

The cosecant of an angle is its reciprocal, which is the sine of that angle. Because of this, if the sine of an angle is zero, its cosecant cannot be divided by zero and is hence undefinable.

We know that;

cosec(θ) = 1/sin(θ)

Then

sin(θ) = 1/(13/9)

= 9/13

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Answer:

x= \(\frac{y}{4}\) - \(\frac{3}{2}\)

Step-by-step explanation:

Answer:

Slope: 4

Y-intercept = 6

X-intercept = -3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(13 - 3)/(-3 + 3) = 10/0 = undefined

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360 degrees

3x+x+10 + 4x+6x = 360

Combine like terms

14x+10 = 360

Subtract 10 from each side

14x +10-10 = 360-10

14x = 350

Divide each side by 14

14x/14 = 350/14

x = 25

Answer:

8

Step-by-step explanation:

2x=12 2^2=4     6x=36

12+4=16             2^2=4 2*4=8 36-8=28

28-16=8

Considering the situation described, we have that:

a) The Poisson distribution is used because we only have the mean.

b) There is a 0.0907 = 9.07% probability that there will be no defects.

c) There is a 0.2177 = 21.77% probability that there will be one defect.

d) There is a 0.3084 = 30.84% probability that there will be fewer than two defects.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

Item a:

The Poisson distribution is used because we only have the mean.

We have 0.8 defects per m² and 3 m², hence the mean is given by:

\(\mu = 3 \times 0.8 = 2.4\)

Item b:

The probability is P(X = 0), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-2.4}(2.4)^{0}}{(0)!} = 0.0907\)

There is a 0.0907 = 9.07% probability that there will be no defects.

Item c:

The probability is P(X = 1), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 1) = \frac{e^{-2.4}(2.4)^{1}}{(1)!} = 0.2177\)

There is a 0.2177 = 21.77% probability that there will be one defect.

Item d:

The probability is P(X < 2), hence:

P(X < 2) = P(X = 0) + P(X = 1) = 0.0907 + 0.2177 = 0.3084.

There is a 0.3084 = 30.84% probability that there will be fewer than two defects.

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Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

multiply -6 with 6 so we can have common denominator as 12/6

that's gives us -36/6+12/6

-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4

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Answer:

About 2.2 gallons

Step-by-step explanation:

Create the following proportion:

\(\frac{10.5}{4.75}\) = \(\frac{x}{1}\)

Cross multiply.

10.5 x 1 = 10.5

4.75 x X = 4.75x

4.75x = 10.5

Divide both sides by 4.75x.

10.5/4.75 = 2.2

Answer:

the process of being a differential is that the process of moving to the different people in a very good process of being the speaker of speaker and the senate speaker and the author organizes a different speech to the topic and i  

Step-by-step explanation:

the process is important as the speaker of speaker is the process of speech to a speech in speech speech and speech in speech and speech

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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Answer:

Step-by-step explanation:

Let's call the number of hotdogs sold "x". According to the problem, the number of sodas sold is three times the number of hotdogs sold, or 3x.

We know that the total number of sodas and hotdogs sold is 136. So we can set up an equation:

x + 3x = 136

Simplifying this equation, we get:

4x = 136

Dividing both sides by 4, we get:

x = 34

This means that 34 hotdogs were sold. To find the number of sodas sold, we can multiply the number of hotdogs sold by 3:

3x = 3(34) = 102

So, 102 sodas were sold.

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

9(5u+8)

Step-by-step explanation:

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Answer: 8squares

Step-by-step explanation:

The value of x in the right angle placed is equal to 16

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

In the given question, we can set an equation and find the value of x

90 = 26 + 4x

Lets solve for x

4x = 90 -26

4x = 64

x = 16

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The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

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Answer:

x= y−2/3

Step-by-step explanation:

1 Subtract 2 from both sides.

y-2=3x

2 Divide both sides by 3.

y−2/3 =x

3 Switch sides.

x= y−2/3

The height of the sand in the display container is 12 inches when the display container is right triangular prism.

What is right triangular prism ?

A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.

To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.

The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:

\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)

Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.

Then, the volume of the display container is:

\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)

where (1/2) is the area of the triangle base of the display container.

Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:

216 = 18H

H = 12 inches

Therefore, the height of the sand in the display container is 12 inches.

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Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have \(x1\)=2    \(x2\)=-11

then quadratic function will be

(x+2) (x+11)

\(x^2+2x+11x+22\)

\(x^2+13x +22\)

this is our required quadratic equation.

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Complete question is: Write a quadratic function f whose zeros are 2 and -13.

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have x¹ = 2    x² = -11

then quadratic function will be

(x+2) (x+11)

x² + 2x + 11x + 22

x² + 13x + 22

This is our required quadratic equation.

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The complete question is-

Write a quadratic function f whose zeros are 2 and -13.

According to the question the expected net gain for a player on a $1 straight bet is -$0.60.

Simply multiply each value of the discrete random variable X by its probability and add the products to get the expected value, E(X), or mean. The formula is as follows: E (X) =  ∑ x P (x)

The possible outcomes for X are winning with a probability of 1/1000 and net gain of $399, and losing with a probability of 999/1000 and net gain of -$1. Therefore, we can calculate the expected value of X as follows:

E(X) = (1/1000)($399) + (999/1000)(-$1)

E(X) = $0.399 - $0.999

E(X) = -$0.60

Therefore, the expected net gain for a player on a $1 straight bet is -$0.60. This means that, on average, a player will lose $0.60 for each $1 bet they place on this game.

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Answer:

-0.60

Step-by-step explanation:

Khan Academy

The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: The table containing data calories vs miles run.

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

      =295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clea,rly the ratios are different.

Hence, The table containing the data doesn't form a proportional relationship.

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Answer:

Perpendicular

Step-by-step explanation:

If X=3, then it looks like ‘|’

If Y=4, then it looks like ‘—’

Together they form a 90 degree angle, when two lines form a 90 degree angle it is perpendicular

apenas la dibuje te la mando

Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.