Solve the system by elimination. 8. 2x−5y−z=17 x+y+3z=19−4x+6y+z=−20​

Answer:

40

Step-by-step explanation:

40 divided by 1/4 = 10

25% = 1/4

Answer:

40

Step-by-step explanation:

We Know

25% of x is 10

Find x

We Take

10 x 4 = 40

So, 25% of 40 is 10

Answer:

Following are the solution to the given question:

Step-by-step explanation:

There is no numbering of the question, which is specified in the enclosed file. please, Find it.

In point 1, the statement is true .

In point 2, the statement is False.

In point 3, the statement is true .

In point 4, the statement is False.

Answer:

x= 129°

Step-by-step explanation:

Angle x is suplenment of 51° (their sum = 180°)

So x+51° = 180°

x = 180° - 51°

x= 129°

Answer:

2. (2 + x ) ( 8 + x)

Step-by-step explanation:

x^2 + 10x + 16

Factor

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 = 10

(x+8)(x+2)

Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the  number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

Answer:

ok im not sure what ur asking but the square root of 625 is 25 the square root of 196 is 14 the square root of 961 is 31 and the square root of 100 is 10 hope this helped if not im sry

Step-by-step explanation:

It is true that education can often be a key factor in higher earnings potential.

Obtaining a higher level of education can provide individuals with additional skills, knowledge, and qualifications that are valued in the job market.

However, it's important to note that earning potential can vary based on several factors, including the field of study, location, job market conditions, individual experience, and skills.

The figure you mentioned, $30,400 per year, represents the median earnings of high school graduates according to a U.S. Census Bureau study. This figure provides a general idea of the earnings potential for individuals with a high school diploma. However, it's worth noting that this amount can vary significantly depending on factors such as the industry, job position, and individual circumstances.

Obtaining higher levels of education, such as a college degree or advanced degrees, tends to be associated with higher earning potential. On average, individuals with a bachelor's degree tend to earn more than those with just a high school diploma. However, it's important to keep in mind that individual circumstances and choices can also play a role in determining earnings.

Additionally, it's worth noting that education is not the only factor that influences earning potential. Other factors such as work experience, skills, networking, and personal motivation can also impact one's ability to earn higher wages.

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The standard form for the equation of the line is 3x+y=19

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

9x + 3y = -5

change this into the y=mx+b form

3y = -5 - 9x

3y =   - 9x - 5

y = ( - 9x - 5 ) / 3 = -3x - 5/3

slope = m = -3

point slope form :

y - y1 = m (x-x1)

(x1, y1) = (6, 1)

y - 1 = -3 (x-6)

y - 1 =  -3x + 18

-3x - y = -1 -18

-3x - y  = -19

3x+y=19

The standard form for the equation of the line is 3x+y=19

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Answer: 30 eggs

Step-by-step explanation:

Given

Mrs. Jones bought 120 eggs

She used two-third for baking cakes i.e.

\(\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}\)

Remaining eggs are \(120-80=40\ \text{eggs}\)

She used on-fourth of the remaining for baking cookies i.e.

\(\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}\)

Eggs left after baking cookies

\(\Rightarrow 40-10=30\ \text{eggs}\)

She is left with 30 eggs

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

Answer:

232 adult tickets

Step-by-step explanation:

10x+8y=2712

x+y=281

10x+10y=2810

2y=98

y=49

x=232

Hope this helps!

Answer:

Step-by-step explanation: Backstreet Boys are an American vocal group, formed in Orlando and The song was a minor success in the U.S., peaking at only The group began working on their second album

\(1) \: \: 28 \times 30 {cm}^{2} = 76 {cm}^{2} \\ 2) \: \: 2(19 + 39) \times 16 = 1856 {cm}^{2} \\ 3) \: \: 15 \times 16 {cm}^{2} = 240 {cm}^{2} \\ 4) \: \: 10 \times 24 {cm}^{2} = 240 {cm}^{2} \)

hope it helps you ❣❣

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Answer:

9 ft

Step-by-step explanation:

The ladder is 15 feet long

The wall is 12 feet high

Therefore the distance between the base of the wall and the ladder can be calculated by applying phythagoreans theory

c^2= a^2 + b^2

15^2 = a^2 + 12^2

225= a^2 + 144

225-144= a^2

a^2= 81

a= 9 ft

Answer: A

Step-by-step explanation:

Answer:

She needs to score 78 on her next test

Step-by-step explanation:

\(\frac{78+60+82+94+88+x}{6}=80\)

Collect like terms;

\(\frac{402+x}{6}=80\)

Multiply both sides by 6;

402 + x = 480

Subtract 402 from both sides;

x = 78

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{0+3}{-6+0}=-\dfrac12\)

Slope-intercept form  y = mx + b

\(y=-\frac12x-3\)        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

Answer:

12.5% decrease

Step-by-step explanation:

[(V2 - V1)  /  V1] x 100 = Percent Change

Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

Alberta's husband is Paul because she can't get married to Robert or Albert.

Marriage can be defined as the union between a man and a woman to become husband and wife. Marriage is the foundation of a family because marriage breeds children which helps continue procreation.

Typically, a woman takes her husband's last name when she gets married. This is as a result of culture that has been legalized. Marriage helps two people to become one and it strengthens positive relationship.

Alberta announced her marriage to her 3 other sisters after returning from an holiday. Alberta's sisters were Carla, Paula, and Roberta,

Therefore, Upon returning from a year-long working holiday Paul is Alberta's husband because she can't wed Robert or Albert.

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Answer:

Not sure

Step-by-step explanation:

Well I’m just guessing these numbers but…

For the coin it is one minus the probability of the coin landing on tails minus the tiny probability of the coin landing on its edge and balancing there. So something like (1 - 0.499 999 5 - 0.000 001), or 0.499 995; call it as near 0.5 as makes no difference.

For the number cube it is one minus the probability of the cube landing on one, three or five minus the tiny probability of the coin landing on an edge or the even tinier probability of it landing on a corner and balancing there. So something like (1 - 3 * 0.166 666 - 12 * 0.000 000 36 - 8 * 0.000 000 08) , or 0.499 998; call it as near 0.5 as makes no difference.

So the joint probability is the first probability times the second. So 0.5 * 0.5 which is 0.25 for all intents and purposes

(copied from Quora)

The total cost of the book, including tax, is given by the expression 1.08x. In the given expression, x represents the price of the book before tax. To calculate the total cost of the book, we need to add the tax to the original price.

The expression 1.08x represents the price of the book after adding a tax of 8% (or 0.08). Multiplying the original price (x) by 1.08 accounts for the addition of the tax.

For example, if the price of the book before tax is $10, then the total cost would be 1.08 * $10 = $10.80. The additional $0.80 represents the 8% tax added to the original price.

By using the expression 1.08x, we can easily calculate the total cost of the book for any given price before tax. This expression allows us to account for the tax and obtain the final price that includes both the original price and the additional tax amount.

Therefore, the expression 1.08x provides a convenient way to calculate the total cost of the book, considering the tax component.

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To find the total balance in an account that earns a simple interest rate of 8% per year, we can use the formula A = P(1 + rt), where A is the total balance, P is the initial principal (or amount invested), r is the annual interest rate, and t is the number of years. In this case, the annual interest rate is 8%, so we can substitute 0.08 for r in the formula. Since Kadeem wants to find his total balance in one step, we can set t equal to 1 year. So, to find Kadeem's total balance in one year in one step, he needs to multiply his current balance by 1 + 0.08 = 1.08. Therefore, Kadeem should multiply his current balance by 1.08 to find his total balance in a year in one step.

The large gear needs to make 3 full turns, and the small gear needs to make 4 full turns for the arrows to line up again.

To find the number of times the gears need to turn, we need to determine the least common multiple (LCM) of the number of teeth on each gear. The LCM of 12 and 8 is 24. This means that it takes 24 teeth engagements for the gears to align again.

For the large gear with 12 teeth, it will complete one full turn when 12 teeth have engaged. Since the LCM is 24, the large gear needs to make 2 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 2 turns for the arrows to line up again.

Similarly, for the small gear with 8 teeth, it will complete one full turn when 8 teeth have engaged. Since the LCM is 24, the small gear needs to make 3 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 3 turns for the arrows to line up again.

The large gear needs to make 2 full turns, and the small gear needs to make 3 full turns for the arrows to line up again. When the arrows align, 24 teeth will have touched each other.

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Hey there!

5x - 50 + 2x + 80 - x = 180

COMBINE the LIKE TERMS

= 6x + 30 = 180

SUBTRACT 30 to BOTH SIDES

6x + 30 - 30 = 180 - 30

CANCEL out: -30 - 30 because that gives you 0

KEEP: 180 - 30 because it helps solve for the x-value

6x = 180 - 30

180 - 30 = 150

NEW EQUATION: 6x = 150

DIVIDE 6 to BOTH SIDES

6x/6 P 150/6

CANCEL out: 150/6 because that gives you the result of the x-value

x = 150/6

SIMPLIFY IT!

x = 25

Therefore, your answer is: x = 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Using the simplex method, we can solve the linear programming problem to maximize P=8x₁+2x₂-x₃ subject to x₁+x₂-x₃≤2 and 2x₁+4x₂+3x₃≤6 . The optimal solution is x₁=0.5, x₂=0.2, and x₃=0.5, which gives a maximum value of P=7/4.

To solve the linear programming problem using the simplex method, we can start by setting up the initial simplex tableau:

| Basic Variables  | x₁  | x₂  | x₃  |   |   |   | RHS |

|------------------|-----|-----|-----|---|---|---|-----|

|       x₂         |  1  |  1  | -1  | ≤ | 2 |   |  0  |

|       x₃         |  2  |  4  |  3  | ≤ | 6 |   |  0  |

|       P          |  8  |  2  | -1  |   |   |   |  0  |

The first step is to select a pivot column, which is the column with the most negative coefficient in the P row. In this case, that is the x₃ column. Next, we need to select a pivot row, which is the row with the smallest non-negative ratio of the RHS to the corresponding coefficient in the pivot column.

In this case, that is the x₂ row, since 2/(-1)=-2 is the smallest non-negative ratio.

Using the x₂ row and x₃ column as the pivot element, we can perform row operations to get a new tableau:

We can see that the P row still has a negative coefficient, so we need to repeat the process of selecting a pivot column and pivot row. This time, the pivot column is the x₁ column, since it has the most negative coefficient in the P row. The pivot row is the x₃ row, since 2/1=2 is the smallest non-negative ratio.

Using the x₃ row and x₁ column as the pivot element, we can perform row operations to get a new tableau:

| Basic Variables  | x₁  | x₂      | x₃  |   |              |       | RHS |

|------------------|-----|---------|-----|---|--------------|-------|-----|

|       x₂         | 3/8 |  1/8    |  0  | ≤ | 1/8          | 1/24  |  0  |

|       x₁         | 1/2 |  1/6    | 1/2 | ≤ | 1/3          | 1/6   |  0  |

|       P          | 7/4 |  3/8    | 7/4 |   | 5/8          | 1/24  |  0  |

We can see that all the coefficients in the P row are non-negative, so we have found the optimal solution. The maximum value of P is 7/4, which occurs when x₁=1/2, x₂=1/6, and x₃=1/2.

Therefore, the correct choice is

A. The maximum value of P is when x₁ = 0.5, X₂=0.2 and x3 = 0.5.

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Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

Answer:

-(10/7)

Step-by-step explanation:

See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.

Answer:

-4/3

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

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