In the system below, what is the value of k if x = 4? What is the solution to the system?
6x + 8y = k
x + y = 1

Answers

Answer 1

The system's solution is (xy, y) = and the k-value is 0. (4, -3).

What does the word "value" mean?

Something that someone values are referred to as values. The things that only a person or a company considers "important" are, in other words, their values. Examples include valor, integrity, freedom, and inventiveness.

How do worth and value differ?

Value includes both the material and emotional cost of that possession. Only the item's monetary price may be considered its worth. An object's value often remains constant, although it might change based on the person and how much the thing means to them personally.

If [tex]x = 4[/tex], then we can substitute [tex]4[/tex] for [tex]x[/tex] in the second equation to get:

[tex]4 + y = 1[/tex]

Subtracting [tex]4[/tex] from both sides, we get:

[tex]y = -3[/tex]

Now we substitute [tex]x = 4[/tex] and [tex]y = -3[/tex]  into the first equation to solve for [tex]k[/tex]:

[tex]6x + 8y = k[/tex]

[tex]6(4) + 8(-3) = k[/tex]

[tex]24 - 24 = k[/tex]

[tex]k = 0[/tex]

Therefore, the value of [tex]k[/tex] is [tex]0[/tex], and the solution to the system is [tex](x, y) = (4, -3)[/tex]

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Related Questions

Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other​

Answers

Answer:

Joe Mama :))))))))))))))))))))))

Step-by-step explanation:

Evaluate without a calculator:


cot -270°

Answers

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for

Answers

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

I need help with all 8!

Answers

1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C

I'm not sure about questions 4 and 7, but they may be correct.

I couldn't because I couldn't see the 2nd question

Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.

Answers

Answer: 6 liters

Explanation:
The problem says “each vase get of a liter of water” that mean in each vase it contains only one liter of water, since there are 6 vase. You would multiple 6 by 1 to get 6 liters in 6 vases.

Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.

Answers

Answer:

Area of the cabinet to be painted =    56 ft²

Step-by-step explanation:

The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.

Surface Area= 2 lb+ 2hb + 2lh

where l = length , b= breadth and h= height.

From the figure we see that the area of the bottom is given by length * breadth  so deducting this from the total surface area of the cuboid gives the surface of the cabinet.

Area of the cabinet  to be painted=  lb+ 2hb + 2lh

Putting the values we get

Area of the cabinet to be painted =  lb+ 2hb + 2lh

                                              = 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)

                                                = 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)

                                              = 4+ 2(8) +2(18)

                                               = 4+16+ 36

                                               56 ft²

This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.

Pls help asap thx its about Operations with Exponents
7.
8.
9.
10.​

Answers

Answer:

7. 2s^7

8. 2s^4/5s^2

9. 108s^9

10. h^7

Step-by-step explanation:

7) (2s^3)^4

= 2s^(3+4)

= 2s^7.

8) (2s^2/5s)^2

= (2s^4/5s^2)

= 2s^4/5s^2.

9) 3s^5 × 4s^-2 × 9s^6

= 12s^{5+(-2)} × 9s^6

= 12s^3 × 9s^6

= 108s^9.

10) h^5/h^-2

= h^{5-(-2)}

= h^7.

if it helps don't forget to like and mark me

write the equation of the line with a slope of -2/3 and a y intercept of (0, 6) in standard form *

Answers

Answer:

y=-2/3x+6

Step-by-step explanation:

Can someone please explain how to do this thanks. I have a test tomorrow:/

Answers

-3(-4)^2(2)+ 4(-4)
So you’re replacing the x and y with those numbers and then using PEMDAS to answer.
Hope this helps:)

What is the surface area of the rectangular prism shown above?​

Answers

Answer:

The surface area of the rectangular prism is [tex]160in^2[/tex].

Step-by-step explanation:

The surface area of a 3-dimensional shape is found by adding the area of each side of the shape together. In this case, the areas of each side of the rectangular prism are 20 in, 20 in, 50 in, 50 in, 10 in, and 10 in. Find the surface area by adding each area together and you'll get [tex](50*2)+(20*2)+(10*2)=100+40+20=160in^2[/tex].

Answer:

The answer would be 160 .

Step-by-step explanation:

Good luck honey

what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))

Answers

Given:

Point F,G,H are midpoints of the sides of the triangle CDE.

[tex]FG=9,GH=7,CD=24[/tex]

To find:

The perimeter of the triangle CDE.

Solution:

According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.

FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}DE=FG[/tex]

[tex]DE=2(FG)[/tex]

[tex]DE=2(9)[/tex]

[tex]DE=18[/tex]

GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get

[tex]\dfrac{1}{2}CE=GH[/tex]

[tex]CE=2(GH)[/tex]

[tex]CE=2(7)[/tex]

[tex]CE=14[/tex]

Now, the perimeter of the triangle CDE is:

[tex]Perimeter=CD+DE+CE[/tex]

[tex]Perimeter=24+18+14[/tex]

[tex]Perimeter=56[/tex]

Therefore, the perimeter of the triangle CDE is 56 units.

Lia has a ribbon 325 4/5m long. She cuts off a 150 3/5m long piece; then she divided the rest of the ribbon into 3 parts of equal length. Find the length of each part.

Answers

Answer:

Each part is 56 11/15 m long.

Step-by-step explanation:

325 4/5 - 150 3/5

= 170 1/5

170 1/5 = 851/5

851/5 / 3

= 851/5 * 1/3

= 851/15

= 56 11/15.

PLEASE HELP!!!

Which line is the best model for the data in the scatter plot?

Answers

Answer:

top left

Step-by-step explanation:

it goes through the most dots

please please help me
(the number in the photo is 20 and then the letter is x)

(also if you can pls go to my profile and answer the question underneath this one)

Answers

Answer:

20°

Step-by-step explanation:

for alternate angles

Answer:

angle x= 20°

I hope it's helps you

Ragon, who lives on this planet, does a survey and finds that her colony of 237 contains 45 black-footed, one-headed Mizjigs; 69 red-footed, two-headed Mizjigs; and 115 one-headed Mizjigs.
How many black footed Mizjigs are there in Ragon's colony?

Answers

The answer is A. 98.

Because when you subtract 115 - 45 it equals 70 then you add 70 + 69 which equals 139 then you subtract 237 - 139 it equals 98 which is your answer!

     Hope this helps!

HELP ASAPPP Pls
———————-
In a state, one town is 250 feet above sea level and another town is 30 feet below sea level. what is the difference in elevations?
(NO LINKS OR ILL REPORT)

Answers

The difference in Elevation is 280

Answer:

Im not so good at math but if you need help I suggest math    way.... Never fails me anyway

Step-by-step explanation:

Oops sorry no links;) :-P

GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE

Answers

Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.

Step-by-step explanation:

Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?

Answers

Step-by-step explanation:

40% × 12 = 4.8

12 + 4.8 = 16.8

rounded off = 17 games

PLEASE HELP ME!!
Brainliest for most helpful
If you use bit. ly I will ban you
Don't try me
All I need is a decimal

Answers

It might be 0.432 because add all the mornings numbers, 19,2,6,16.

19+2+6+16 = 43.

How many Freshman? 19 so 19/43 and then you divide 19 and 43

19/43 and you get 0.4418604651 about and it looks to be close to 0.432.

An equation is shown below:
BRAINLEST
8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x

please help solve for x step by step ASAP!

Answers

Answer:

x=26

Step-by-step explanation:

the angle is a right angle so

90-37= 53

53-1=51

52/2= 26 thats x?

if you dont understand i can still describe more

b) solve for x if x² +3x - 4 <0​

Answers

Answer:

x=4,−1

Step-by-step explanation:

hope i helped

plz mark me brainlest

and have a nice day:)

You need to find the two numbers that add to -4 and multiply to 3
Those are-3 and 1-
(X-3) (x-1)
X=3 X=1

Now let’s check to make sure that when plugged in the answer is over 0.
3^2+3(3)-4=
9+9-4=14
14 is greater than 0


1^2+3(1)-4=
1+3-4=0
0 is not greater than 0

So x is 3

find the perimeter and area of the shape based on the information provided

Answers

I don’t see anything posted

Answer:

If you were to attach the shape, I could help.

please help!!!

i need help with this

Answers

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power

a) (2xy + 4x) + (15xy - 5x)  = 2xy + 15xy + 4x - 5x

                                         = 17xy - x

b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b²  - 3 - 5

                                           = 6a + 7b² - 8

c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x²  + 4x - 5x

                                               = 4x³  + 5x² - x

d) (7b - 6a  + 9y) - (12b + 5a - 2y) =

In subtraction, add the additive inverse of (12b + 5a - 2y)

additive inverse = - 12b  - 5a  + 2y

(7b - 6a  + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y  -12b -5a + 2y

                                                   = 7b - 12b  -6a - 5a  + 9y + 2y

                                                   = -5b - 11a + 11y

e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)

Additive inverse of  13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y

(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y

                    = 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y

                    = -2x²  - 6x  - 7 + 15y

What is 53/99 as a decimal

Answers

Answer:

0.53535353535354

53/99 as a decimal is 0.53535353535354.

Step-by-step explanation:

Just Divide 53 into 99

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!! if it DID ,  FRIEND me!!

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (To the nearest whole inch)

Answers

Answer:

The listed size is 32 inches

Step-by-step explanation:

Given

See attachment for television

Required

The listed size

The listed size is calculated by the diagonal of the television.

This is calculated as using Pythagoras theorem as follows:

[tex]Diagonal^2 = Length1^2 + Length2^2[/tex]

Where:

[tex]Length1 =28in[/tex]

[tex]Length2 =15.7in[/tex]

So, we have:

[tex]Diagonal^2 = 28^2 + 15.7^2[/tex]

[tex]Diagonal^2 = 784 + 246.49[/tex]

[tex]Diagonal^2 = 1030.49[/tex]

Take positive square roots of both sides

[tex]Diagonal = \sqrt{1030.49[/tex]

[tex]Diagonal = 32[/tex] --- approximated

Hence, the listed size is 32 inches

5. Which is the best estimate for 83% of 194?
a. 83
b. 100
c. 140
d. 160

Answers

Answer:

d.160

Step-by-step explanation:

83% of 194 is 161.02 the closest one is 160 so that would be the best estimate.

Answer:

d. 160 because the real answer is 161.02 and d is closer


How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.

Answers

Answer:

6 x 10^5 is 300 times greater than 2 x 10^3.

Step-by-step explanation:

Use division to compare.

(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300

6 x 10^5 is 300 times greater than 2 x 10^3.

There is 6 × 10⁵ is 300 times greater than 2 × 10³.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The exponents are given in the question, as follows:

6 × 10⁵ and 2 × 10³

The exponents in scientific notation as a shorthand for the number of zeroes in the number.

We use division to compare.

( 6 × 10⁵)/(2 × 10³)

= 6/2 × 10⁵/10³

= 3 × 10²

= 3 × 100

= 300

This means 6 × 10⁵ is 300 times greater than 2 × 10³

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The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.

V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.

What is Fatima’s error?
In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).
In step 2, Fatima should not have multiplied One-third and 8.
In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.
In step 1, Fatima did not substitute the correct value for the height in the formula.

Answers

Answer:

c

did it on edg:D

mark brainliest please need it for a new rank

Answer:

C or "In step 3, Fatima did not multiply 88 by the reciprocal of 8/3"

Step-by-step explanation:

A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?

Answers

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

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