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

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The radius of a circular rug is 4 feet. How much ribbing will you need to buy to go around the rug? Use 3.14 for it
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hi reminder!!! just wanted to let you know that you are beautiful DONT pay attention to what other people say Ily :)

What percent of 91 is 79

Answers

86.81

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

baii ^^

Answer:

79/91 = x%

0.8681318681 %

79 is about 86.81%  of 91

Step-by-step explanation:

What is the area and perimeter of the equilateral triangle? Round your final answer to the nearest tenth of a square unit.

Answers

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.            

Answer:

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.                         2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.                                                                      

A and B are both positive integers. which expression is equivalent to -A- (-B) ?

answer choices:

B-A

-A - B

A - B

A + B

Answers

It was be B a negative number

Find the surface area of the rectangular prism.
2 cm
5 cm
10 cm

Answers

Answer:

2(2x5) + 4(5x10)

2(10) + 4(50)

20 + 200

220 cm. is your answer

Answer:

Step-by-step explanation:

2×5×10= 900

Anyone know how to do this?

Answers

Answer:

60.22in^2.

Step-by-step explanation:

First, find the area of the rectangle. 14.1x7=98.7.

Then, we need to find the area of the circle and subtract it from the area of the rectangle.

The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).

Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.

Find rectangle area: 14.1 x 7 = 98.7

Find areas of semicircles: a = 3.14(3.5)^2 = 76.96

Subtract area of semicircles: 98.7 - 76.96 = 21.74

The area of a triangle is 3232. Two of the side lengths are 74 and 94 and the included angle is acute. Find the measure of the included angle, to the nearest tenth of a degree.

Answers

If im not wrong it would be 12 degrees

The number of bacteria, B, present in a culture after t minutes is given as B = 10ekt. If there are 3778 bacteria present after 7 minutes, find k.

Answers

Ybgvcvjjursxvnkoigfbbjkhfsx nmjgdsxcbnjmhhhiioooppp12444$+;)89764

Sierra has plotted two vertices of a rectangle at (3,2) and (8,2). What is the length of the sides of the rectangle

Answers

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D =  √25

D = 5

Hence the length of the side of the rectangle is 5units

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°

Answers

Answer:

14.2cm

Step-by-step explanation:

Complete question:

In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°.  

Rounded to the nearest tenth of a centimeter, what is the length of arc LMN?  

Find the diagram attached

arc LN= arc  LM + arc MN

First we need to get the arc MN

length of an arc = theta/360 * 2πr

length of arc MN = 75/360 * 2(3.14)(6)

length of arc MN = 0.20833*37.68

length of arc MN = 7.85

Hence;

arc LN = 6.3 + 7.85

arc LN = 14.15cm

Hence the length of arc LN is 14.2cm

What is the equation for the nth term of geometric sequence 32,48,72

Answers

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]

AB and CD are straight line segments.
∠ AOE = 50° and ∠ DOB = 95°.
Find the values of the following angles giving a reason for each answer in the comment box.
The diagram is not drawn accurately.
i) obtuse ∠ AOC
ii) acute ∠ BOC
iii) acute ∠ DOE

Answers

Answer:

i) Angle AOC is 95° Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.

ii) Angle BOC is 85° Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°) Angle AOC is 95°, So:- 95° + Angle BOC = 180° Angle BOC= 180° - 95° Angle BOC = 85° iii) Angle DOE is 17° Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°) So, 68° + Angle DOE+ 95° = 180° 163° + Angle DOE = 180° Angle DOE= 180° - 163° Angle DOE is 17°

Which choice is a rational number?

A.

2

B.

4

C.

8

D.

10

Answers

The answer is B. I’m very sure

Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}

Answers

Answer:

(2,8), (3,5),

Step-by-step explanation:

Find the volume of the cube shown at the right. h=6in

Answers

Answer:

216 in³

Step-by-step explanation:

The volume of a rectangular prism is length x width x height

A cube is a special rectangular prism in which all the edges are the same length (like a square)

To find the volume of a cube given the height 6 just solve 6·6·6=216

Don't forget your units and since you cubed 6 inches, they are now in³ or inches cubed

Help pls thank you!!!!!!!!!!!!!!

Answers

Answer:

that would be b

Step-by-step explanation:

i am not positive but i am pretty sure it is b

A Bag contains 3 green marbles, 7 white marbles, and red marbles (and no other marbles). One marble is chosen without
looking
Pia P (not green)
Find the COMPLEMENT of P.

Answers

Answer:

what is the multiple choice

Step-by-step explanation:

Answer:

A White Marble

Step-by-step explanation:

The chance of choosing a white marble is 7/12 (amount of red marbles = 2 because there is no exact number, the problem only states there are more than one marble. To find probability, add all of the possible changes combinations of choosing a marble from the bag. ( 3 + 7 + 2 = twelve. After finding how many possible combinations there are, subtract the # of possible combinations from the # of marbles that are not white. ( 12 - 5 = 7 ). Finally, put the amour of white marbles next to the # of possible combinations. (7/12)

i neex help on a equation ​

Answers

Answer:

-24a^10

Step-by-step explanation:

Given the equation −4a^5⋅6a^5

This can also be written as

−4a5⋅6a^5

= (-4*6)(a^5*a^5)

= -24(a^{5+5})

= -24a^10

Hence the required expression is -24a^10

9y - 2x = 0 in slope intercept form.

Answers

Answer:

y=2/9x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

9y-2x=0

9y=2x

y=(2/9)x

just this last one left

Answers

Answer:

2240 scooter

Step-by-step explanation:

725+579+696=2000

2000*1.12=2240

2240 hope this holds

-5x - 2y = 18 in slope intercept form.

Answers

Answer:

y=-5/2x-9

Step-by-step explanation:

I hope this helps

Shellac O'Lean, a freshman on your school's football team, is 6 ft tall and weighs 140 lb. Since he would rather play basketball, he plans to grow to 7 ft 1 in., the same height as Shaquille O'Neal, his idol. If Shellac scales geometrically as he grows, how much can he expect to weigh? (O'Neal weighs 325 lb. Round your answer to the nearest whole number.)

Answers

Answer:

At 7 ft. 1 in., Shellac can expect to weigh approximately 165 lb

Step-by-step explanation:

The relationship between the heights and the weights of the freshman are presented as follows;

The weight of the freshman at 6 ft. = 140 lb

The height to which he plans to grow = 7 ft. 1 in.

Given that Shellac scales geometrically as he grows, then the height to weight ratio is constant

Let 'y' represent Shellac's weight when his height is 75 ft. 1 in., we have;

[tex]\dfrac{6 \, ft.}{140 \ lb} = \dfrac{7 \, ft. \ 1 \, in. }{y}[/tex]

6 ft. = 72 in.

7 ft. 1 in. = 85 in.

Therefore, we get;

[tex]\dfrac{72 \ in.}{140 \ lb} = \dfrac{85 \ in. }{y}[/tex]

[tex]y ={85 \ in. }\times \dfrac{140 \, lb}{72 \ in.} = 165.2 \overline 7 \, lbs[/tex]

Shellac's expected weight given to the nearest whole number when his height is 7 ft. 1 in. ≈ 165 lb.

NEED HELP ASAP!!! PLZ HELP!!!

Answers

just guess

jk i think the last one

Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the
number of minutes it took each group to solve the puzzle and plotted the results.
Which statement is the best description of the association between these variables?

Answers

The statement that best describes the association of these variables is larger groups tend to take less time to solve the puzzle.

What is the true statement?

A graph can be described as a pictorial representation of data.  A graph has a x axis and a y-axis. The x-axis in this graph is the number of people in the groups and the y-axis is the time it takes to solve the puzzle.

The graph slopes downwards. This indicates that as the number of people in the groups increase, the time it takes to solve the puzzle decreases.

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Answer:

Nonlinear association

Step-by-step explanation:

Please like if this helps :)

denise is buying 1 pair of jeans for 24.98 and a pair of boots for 52.98. she has a 20% coupon that she can use on one item. If she uses the coupon on the most expensive item, which of the following is a reasonable estimate for the price of two items, not including tax?

Answers

Answer:

$67.38

lmk if you need to see the work

Answer please
20 points​

Answers

Answer:

1. right 2. acute 3 acute 4. obtruseangle 5 right

Answer:

1. right 2. acute 3. acute 4. obtuse 5. right

Step-by-step explanation:

help agine plz i will give branliets

Answers

You need to have 1 hundred block and 5 ten sticks and 3 one dot

HELPPPPPP ME PLSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

D. b and c

Step-by-step explanation:

34+89 = __________. someone help i suck at math my guy

Answers

Answer:

123

Hope it helps!!!

Evaluate: |9 - 3k| = 3

Answers

Answer:

k=2,4

Step-by-step explanation:

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