Examine the system of equations.

5x + 6y = 32

5x – 6y = 8

Which variable or variables will be eliminated when you add the system of equations?


Which equation results from adding the system of equations?

Answers

Answer 1

9514 1404 393

Answer:

y is eliminated10x = 40

Step-by-step explanation:

The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.

The result of that addition is ...

  (5x +6y) +(5x -6y) = (32) +(8)

  10x = 40


Related Questions

which equation best represents the relationship between x and y in the graph

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line → A

Quadratic below
2^2−7−4
Vertex -
Y-Intercept -
X-Intercept -

Answers

Answer:

The y-intercept is y = -4.

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Step-by-step explanation:

Quadratic equation:

Has the following format:

[tex]y = ax^2 + bx + c[/tex]

The y-intercept is c.

Finding the x-intercepts:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Vertex:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

In this question:

The quadratic equation is [tex]2x^2 - 7x - 4[/tex], which has [tex]a = 2, b = -7, c = -4[/tex]. This means that the y-intercept is y = -4.

x-intercepts:

[tex]\Delta = (-7)^2-4(2)(-4) = 81[/tex]

[tex]x_{1} = \frac{-(-7) + \sqrt{81}}{2*2} = 4[/tex]

[tex]x_{2} = \frac{-(-7) - \sqrt{81}}{2*2} = -\frac{1}{2}[/tex]

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

Vertex:

[tex]x_{v} = -\frac{(-7)}{2*2} = \frac{7}{4}[/tex]

[tex]y_{v} = -\frac{81}{4(2)} = -\frac{81}{8}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Use Euler's formula to find the missing number.
Vertices: 13
Edges: 26
Faces: ?
A.14
B.15
C.16
D.17

Answers

Answer:

15

Step-by-step explanation:

trust me bro

Find an angle coterminal to 746°, where 0° < 0 < 360°

Answers

Answer:

26º

Step-by-step explanation:

746 - 360 = 386

386 - 360 = 26

The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?

Answers

Answer:

No, a 25-year-old job applicant cannot be two standard deviations below the mean

Step-by-step explanation:

There are two frequencies 25 and 65

Mean of the two frequencies = 25+65/2 = 45

Standard deviation =

[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]

Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]

[tex]21.9 < 25[/tex]

Thus, a 25-year-old job applicant cannot be two standard deviations below the mean

Which expressions are equivalent Log 2- log 8

Answers

Answer:

log(.25)

Step-by-step explanation:

[tex]log(a)-log(b)=log(\frac{a}{b})\\log(2)-log(8)=log(\frac{2}{8})\\log(\frac{1}{4})[/tex]

Please help and thanks whoever helps me!!

Answers

Answer:

2/3 km per minute

Step-by-step explanation:

kilometers

1 1/3 - 2/3 = 2/3km

Minutes

2 - 1 = 1 minute

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

Spped

(2/3 km) / (1 minute)

2/3 km per minute

Which numbers are equal to 24
8 divided by 1/3
6 divided by 1/8
9 divided by 1/4
4 divided by 1/6
12 divided by 1/2

Answers

Answer:

The first one

Step-by-step explanation:

I did this and got it right and I solved it

8×3 equal 24/1 so make it to a whole number 24

8 divided by 1/3 = 24
4 divided by 1/6= 24
12 divided by 1/2= 24
All of these :)

What is the period of the parent cosine function, y=cos(x)? degrees
What is the period of the cosine function shown in the graph? degrees

Answers

Answer: first 360 second 1080 third horizontal stretch

Step-by-step explanation:

The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.

What is the period of a cosine function?

The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:

T = 2π/A

Where:

A is the coefficient of the x.

When A = 1, we have:

T = 2π/1 = 360 degrees.

For the graphed function, the period of this cosine function is given by:

T = 6π

T = 6 × 360

T = 1080 degrees.

Read more on cosine function here: https://brainly.com/question/4599903

Given that sin ø 21/29, what is the value of cos ø, for 0° < ø < 90%

Answers

Answer:

[tex] \frac{20}{29} [/tex]

Step-by-step explanation:

Let x replace theta.

Apply pythagorean trig identity

[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]

[tex] (\frac{21}{29} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]

[tex] \frac{441}{841} + \cos {}^{2} (x) = 1[/tex]

[tex] \cos {}^{2} (x) = 1 - \frac{441}{841} [/tex]

[tex] \cos {}^{2} (x) = \frac{400}{841} [/tex]

[tex] \cos(x) = \frac{20}{29} [/tex]

Cosine is positve in 1st quadrant so the answer is

[tex] \frac{20}{29} [/tex]

Whats the answer?This is trigonometry ​

Answers

Answer:

100

Step-by-step explanation:

A student purchased a used car for $5,000. Three months later, the student discovers the car needs major repairs which will cost $2,000. The student must decide whether to repair the car or purchase another car. Which statement is correct?

Answers

Answer:

The relevants cost are $2,000

Step-by-step explanation:

Based on the information given in a situation where the student have to decide whether to repair the car or purchase another car the correct statement is: THE RELEVANTS COST ARE $2,000 because the cost of repairs of the Amount of $2,000 represent the RELEVANT COST.

Therefore RELEVANT COSTS are costs or expense that can be incurred due to some certain decisions and on the other hand RELEVANT COSTS which is also known as AVOIDABLE COST can be seen as the cost or expense a person or an individual can do away with depending on other alternative such person choose to pick.

Answer:

2000

Step-by-step explanation:

Can someone help me?

Answers

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47


When solving for y, in which step did Ramon make a mistake?

a) step one,Ramona re-wrote the system incorrectly
b) step two,Ramona should have multiplied the first equation by -4 instead of -2
c) in step three Ramona simplify -28+10 as -18 instead of simplifying to 18
d) in step four, Ramona should have divided by -6 instead of dividing by 6

show work

Answers

It should be e I don’t kn

Find the missing angle.

Answers

Answer:

=180-50-70

=50

Step-by-step explanation:

=180-50-70

50

Danny is measuring two pyramids whose bases are squares. Given the height hhh and volume VVV of the first pyramid, Danny uses the formula a=\sqrt{\dfrac{3V}{h}}a= h 3V ​ ​ a, equals, square root of, start fraction, 3, V, divided by, h, end fraction, end square root to compute its base's side length aaa to be 555 meters. The second pyramid has the same volume, but has 444 times the height. What is the side length of its base?

Answers

Answer: THE ONE ABOVE IS WRONG

A= 3V/h

Step-by-step explanation:

Formulas may contain multiple variables, along with known numbers and letters that stand for known constants like \piπpi.

We can highlight a certain variable in the formula by treating the formula as an equation where we want to solve for that variable.

In this case, we need to solve the equation V =\dfrac{1}{3}AhV=

3

1

AhV, equals, start fraction, 1, divided by, 3, end fraction, A, h for AAA.

Hint #22 / 3

\begin{aligned} V&=\dfrac{1}{3}Ah \\\\ \dfrac{3V}{h}&=A \end{aligned}

V

h

3V

 

=

3

1

Ah

=A

Hint #33 / 3

This is the result of rearranging the formula to highlight the base area:

A=\dfrac{3V}{h}A=

h

3V

​ It works I did it in Khan

Lisa scored 85, 92, 87, 93 and 90 on 5 tests. What is the minimum score she needs to make on her 6th test to guarantee a 90 average in math class? The

Answers

Answer:

93

Step-by-step explanation:

(85 + 92 + 87 + 93 + 90 + x)/6 = 90

(447 + x)/6 = 90

multiply both sides of the equation by 6:

447 + x = 540

subtract 447 from both sides:

x = 93

Consider the equation x2 – 12x + 49 = 22. Which equation has the same solution(s) as the given equation?

Answers

Answer:

The correct solution is "x=3 or x=9".

Step-by-step explanation:

The given equation is:

⇒  [tex]x^2 - 12x + 49 = 22[/tex]

On subtracting "22" from both sides, we get

⇒  [tex]x^2-12x+49-22=22-22[/tex]

⇒          [tex]x^2-12x+27=0[/tex]

On factorizing the above equation, we get

⇒  [tex]x^2-9x-3x-27=0[/tex]

By taking common, we get

⇒  [tex]x(x-9)-3(x-9)=0[/tex]

⇒          [tex](x-3)(x-9)=0[/tex]

⇒                        [tex]x-3=0[/tex]

                                 [tex]x=3[/tex]

Or,

⇒                        [tex]x-9=0[/tex]

                                [tex]x=9[/tex]

What's the Area for each shape?

Answers

Answer:

[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]

at lunch four friends drink 8 pints of milk. How many fluid ounces is this equal to? 1) 128 FL oz 2)64 FL oz 3)32oz 4) 16 FL oz ​

Answers

at lunch four friends drink 8 pints of milk. how many fluid ounces is this equal to?

128 FL

Answer:

The answer is choice #1 or 128 Fluid ounces

Step-by-step explanation:

8 pints = 128 oz

What is the slope-intercept equation of the line below? y-intercept=(0,2) slop=-1/4

Answers

Answer:

y=-1/4x+2

Step-by-step explanation:

So the forumla for slope/intercept equation is:

y=mx+b

Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.

m equals the slope of the graph. (In this case -1/4)

x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.

b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)

Now, using this lets plug in our numbers for the differet variables:

y=mx+b

We know that m, the slope, is -1/4. So:

y=-1/4x+b

We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:

y=-1/4x+2

This is all you have to do! This is because y is the number you solve for, and x is the value you plug.

Hope this makes sense and helps! :)

1. Divide
1 point
1. On a standardized examination, Laura received a
score of 85, which was exactly 2 standard
deviations above the mean. If the standard
deviation for the examination is 4, what is the mean
for this examination?

Answers

Answer:

656×756÷765+656+65=

Step-by-step explanation:

it was soo easy now i get what it is talking about no

Please help asap urgent! 20 pts!

Answers

Answer:

the mean of those numbers is 17.1

Answer:

The M.A.D (mean absolute deviation) is 2.3

Bonus (Just in case you need it): The Mean is 17.1

Have a good day!

In which choice do all three points lie on the
same straight line?
A А.
(0, 1), (-1, 3), (1, 3)
B.
(4, 2), (2, 1), (4, -2)
C (0, 0), (8, 0), (0, 8)
D
(1, 2), (2, 4), (4,8)

Answers

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

It took gigi 1 hour and 20 minutes to complete a bicycle race It took Johnny twice as long because he got a flat tire. How many minutes did it take Johnny to finish the race?

Answers

180 minutes, also 2 hours and 40 minutes

Lincoln buys milk and oranges at the store.
He pays a total of $41.63.
He pays a total of $4.19 for the milk.
• He buys 6 bags of oranges that each cost the same amount.
.
Write and solve an equation which can be used to determine x, how much each bag
of oranges costs.

Answers

Answer:

$6.24

Step-by-step explanation:

equation: $41.63 - 4.19 = 37.44

solve: 37.44 ÷ 6 = 6.24.

hope this helped!

Answer:

He pays a TOTAL of $41.63. Meaning everything is equal to that value

He pays 4.19$ for Milk

He buys 6bags of Oranges and each of these cist the same amount.. let's say x.

So 6 bags would cost 6x

So Total is

6x + 4.19 =41.63

6x= 41.63-4.19

6x=37.44

x=37.44/6

x=$6.24

To check this

6x + 4.19 should equal 41.63$

6(6.24) + 4.19= $41.63

A container has a 6 litres of juice. If 3⅕ litres are poured from it, How many juice is left in the container?​

Answers

Answer:

2.8 liters

Step-by-step explanation:

6 - 3.20 = 2.8

Answer:

2 4/5

Step-by-step explanation:

6-3 1/5 = 2 4/5

Express this decimal 0.8 as a fraction ​

Answers

Answer: 4/5

How to: Convert to a mixed number by placing the numbers to the right of the decimal over  10 . Reduce the fraction.

Have a great day and stay safe ! so sorry if wrong

Answer:

8/9

Step-by-step explanation:

i got it righttt

if you answers this question correctly i'll give you brainliest

Answers

I believe it would be C

Answer:

D. Both of the dot A and B have the same mean

What is the shift from in the parent function y=x^2 to this function: y=(x+2)^2+3
A. The parent function would shift 3 units to the left and 2 units down.
B. The parent function would shift 3 units to the right and 2 units down.
C. The parent function would shift 2 units to the right and 3 units down.
D. The parent function would shift 2 units to the left and 3 units up.

Answers

Answer:

Shift to the right by 2 units, vertical translation upwards by 3 units.

Step-by-step explanation:

Other Questions
On May 3, 2020, Cheyenne Company consigned 90 freezers, costing $480 each, to Remmers Company. The cost of shipping the freezers amounted to $850 and was paid by Cheyenne Company. On December 30, 2020, a report was received from the consignee, indicating that 45 freezers had been sold for $780 each. Remittance was made by the consignee for the amount due after deducting a commission of 6%, advertising of $210, and total installation costs of $330 on the freezers sold.(Round answers to 0 decimal places, e.g. 5,275.)(a) Compute the inventory value of the units unsold in the hands of the consignee.Inventory value$enter the inventory value in dollars(b) Compute the profit for the consignor for the units sold.Profit on consignment sales$enter the profit on consignment sales in dollars(c) Compute the amount of cash that will be remitted by the consignee.Remittance from consignee PLEASE ANSWER EEEEEEEEEEEEEEEEEEE 100 points t who answers first and if answered right u will get brainiest okOn the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted. If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. (2 points) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain. (2 points)e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)Step 2: Finding distance on the coordinate grid This is a blueprint drawing of the stage area at Millennium Park. The length of one square on the grid is equal to 5 feet. According to the blueprint, the length of the diagonal of square C is 60 feet. Is that correct? Explain. (2 points).b) If the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning. (4 points2 points for finding the length of the diagonal; 2 points for explanation)Step 3: Using the Pythagorean theorem to find the unknownAt another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below. a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points1 point for each length calculation and 1 point for the total distance) Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points) The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence? Show your work. 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Economic stability provided through the Marshall Plan strengthened the nations of Western Europe against Soviet influence. Which of these is a prepositional phrase?A. desperatelyB. we wishedC. to see a puppyD. under the tree(help plss)