If x+y=4 and x-y=k, what does x equal?

If x+y-z=8 and x-y+z=12 then x=

If x=3b and y=2/6b+4, what is x in terms of y?

Answers

Answer 1

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

System of equations

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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Related Questions

Solve 6x+7=3x+16
X=6
X=3
X=4
X=2

Answers

Answer:

x=3

Step-by-step explanation:

6x-3x=16-7

3x=16-7

3x=9

x=3

Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1

Answers

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

Find the value of x,y and z​

Answers

Answer:

x = 95°

y = 40°

z = 95°

Step-by-step explanation:

a = 45° (Vertical angles)

y = 40° (corresponding angles)

z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)

-> z = 180° - 85°

-> z = 95°

x = z (vertical angles)

-> x = 95°

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?.

Answers

The number of rounds of bingo when the two costs would be the same is 3.

When would the two costs be the same?

The equation that represents the total cost for adults is : 13 +2r

The equation that represents the total cost for children: 10 + 3r

where r is the number of rounds

When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r

13 - 10 = 3r - 2r

r = 3

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Does the chart below represent a proportional relationship? What is the rate of change?

x
y
1
4
2
7
3
10
4
13

Answers

Answer:

C will be your answer.

Please Mark as brainlist!

Se calcula que el 2013 habia 19,000 árboles en la ciudad. el año 2014.para prevenir caídas de árboles viejos, se corto el 2% y el 2015 se quemó en un incendio el 5% de lo que quedaba
A) En que porcentaje disminuyó el número de árboles de 2013 a 2015?
B) Cuantos árboles quedan en esta ciudad a fines del 2015?

Answers

Answer:

yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd

A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?

Answers

Answer:

The sea lion dives 24 feet.

Step-by-step explanation:

A seal (S) dives 15 feet.

A sea lion (SL) dives 6 feet less than 2 times the seal's dive.  That can be expressed as:

SL = 2S -6

Since we know S = 15, we can say:

SL = 2*(15) - 6

SL = 24 feet

The sea lion dives 24 feet.

Please Help!!!!!
Write the equation of a parabola with focus (-1, 3) and directrix x = -5. Also include a sketch of the parabola. Show all your work.

Answers

Answer:

Equation of parabola is (x+1)²=20(y-3)

Step-by-step explanation:

And the graph above

(x+1)²=20(y-3) is the equation of a parabola with focus (-1, 3) and directrix x = -5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, focus : (-1, 3)

directrix : x + 5 = 0 or x=-5

Let (x ,y) is the point on the parabola .

distance of point from focus = distance of point from directrix

√(x+1)²+(y-3)²=|x+5|

Let (x ,y) is the point on the parabola .

∴ distance of point from focus = distance of point from directrix

√(x+1)²+(y-3)²=|x+5|

squaring both sides,

(x+1)²+(y-3)²=(x+5)²

(x+1)²=20(y-3)

Hence,  (x+1)²=20(y-3) is the equation of a parabola with focus (-1, 3) and directrix x = -5.

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how to round to 4 decimal places using calculator with the given number of tan 30

Answers

Answer:

0.5774

Step-by-step explanation:

1) Input tan(30) into a calculator to get 0.5773502692...

2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

What is the tangent of 30, rounded to 4 decimal places?

.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

First, let's focus on this phrase - "tan 30"

.

What in the world could that possibly mean?

"tan" is the tangent, which is one of the six trig ratios.

.

The simplest way to find the tangent of 30 degrees is ... with a calculator!

[tex]\bf tan\quad 30 \approx 0.5774[/tex]

The answer has been rounded to 4 decimal places, like you asked.

Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.

[tex]\rule{300}{1.7}[/tex]

[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]

~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~

Please help me on this question!

Answers

Answer:

u = 10 ft

Step-by-step explanation:

cuboid volume = w × h × l

width * hight * length

560 = 7 × 8 × u

u = 10 ft

Answer:

u = 10 ft

Step-by-step explanation:

Volume of a rectangular prism = lwh

where:

l = lengthw = widthh = height

Given:

Volume = 560 ft³width = 7 ftlength = 8 ftheight = u

Substitute the given values into the formula and solve for h:

⇒ 560 = 8 × 7 × u

⇒ 560 = 56u

⇒ 56u ÷ 56 = 560 ÷ 56

⇒ u = 10 ft

Therefore, the height of the prism is 10 ft.

Smallest to greatest 4/9, 4.9, 49%

Answers

Answer:

4/9, 49%, 4,9

Step-by-step explanation:

4/9=0,444444

49%=0,49

4,9=4,9

Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden

Answers

Answer:

4x10 8x5

Step-by-step explanation:

Answer
1st way = 8W x 12L
2nd way = 6W x 14L
Reason
Using W as width and L length
We know Perimeter is 2w + 2L
1st way
8m width x 12m length =
2(8) + 2(12) =
16 + 24 = 40
2nd way
6m width x 14 length
2(6) + 2(14)=
12 + 28 = 40

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:

6km =  3.73 miles2.5 Litres = 0.66 gallons90 pounds = 40.82 kg

How to use proportion to find equivalent units?

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

cross multiply

weight(kg) = 40.82328 = 40.82 kg

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if each interior angle of a regular polygon measures 180° how many sides does it have

Answers

Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

[tex] \frac{180(n - 2)}{n} [/tex]

where n is the number of sides.

Setting this equal to 180°,

[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]

which is false.

simplify 2e + 3f + 7e + 5f

Answers

2e + 7e + 3f + 5f
= 9e + 8f

Write the next 3 numbers in each sequence.

Answers

Answer:

The next 3 numbers will be 1 3/4, 2, and 2 1/4

Step-by-step explanation:

The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.

Kevin earns $240,000 a year as a surgeon. He contributes $20,500 to
his pre-tax 401(k) retirement account and pays the government 28% of his
remaining salary per year. How much is his net pay?

Answers

Using proportions, it is found that his net pay is of $158,040.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

His first discount is for the retirement account, hence the taxable amount is:

T = 240000 - 20500 = $219,500.

He pays 28% of that in taxes, hence his net pay is of 100 - 28 = 72% of  $219,500, hence:

N = 0.72 x 219500 = $158,040.

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ST
6
9
10
Which phrase best describes the translation from the graph y = 2x² to the graph of y = 2x² + 5?
O 5 units up
O 5 units down
O 5 units right
O 5 units left

Answers

The answer to the question is 5 units up.

Simplify the expression when j = 5 and k = 3
*
1 point
Captionless Image
3
-9/5
41/3
6

Answers

Answer:

1 7

_

8

Step-by-step explanation:

5 x 3 = 15

5 + 3 = 8

=1 7

_

8

Can someone please help

Answers

Answer:

Option 1

Step-by-step explanation:

Angle bisector:

  Angle bisector is a line that divides the angle into two equal angles.

⇒ ∠KLM = ∠MLN

please help me. I really need to get this right. I appreciate the hard work

Answers

A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,

A.) x = -1

[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]

B.) x = 0

[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]

C.) x = 1

[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]

D.) x = 2

[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]

Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

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answer?.............

Answers

Answer:

-21

Step-by-step explanation:

My guess would be -21 Im not sure but that is my guess because x=5 the normal answer would be negative 25 so my guess would negative 21

A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.



What does the y-intercept represent?

the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day

Answers

The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.

What is a function ?

A function is a law that relates two variables , independent and dependent variable.

It is given that

On y axis , amount of feed used each day in thousands of pounds,

On x axis,  number of years since the farm began operating

The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.

Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.

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answer?.......................

Answers

When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

The given function is [tex]y=2-\sqrt{x}[/tex].

We need to find which is the graph of the given function from the options.

What are coordinates?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Take, x=0, 1, 4, 9, 16, 25, 36,....

Now, when x=0, y=2.

When x=1, y=1.

When x=4, y=0.

When x=9, y=-1

So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

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Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To solve the problem substitute the value of n as 5 in each expression and then simplify to check if it equals to 16 or not.

A.) (25/n) + 7

      = (25/5) + 7

      = 12

This is not the required expression.

B.) 30 - 3n

      = 30 - 3(5)

      = 15

This is not the required expression.

C.) 7+ (45/n)

       = 7 + (45/5)

       = 7 + 9

       = 16

This is the required expression.

D.) n² - 114

       = (5)³ - 114

       = 125 - 114

       = 11

This is not the required expression.

Hence, the correct option is C.

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Question 1 of 5
Select the correct answer.
Which expression is equivalent to 6√z ÷ 3√8z, if z> 0?
36/2
O 3
33/z
3√22
Submit

Answers

The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]

Simplifying an expression

From the question, we are to determine which of the expressions is equivalent to the given expression

The given expression is

[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]

The expression can be simplified as

[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]

[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]

[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]

[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]

[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]

[tex]= 3\times z^{\frac{1}{6}}[/tex]

[tex]= 3\times\sqrt[6]{z}[/tex]

[tex]= 3\sqrt[6]{z}[/tex]

Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]

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Which of the following equations have exactly one solution?
Choose all answers that apply:

Answers

the equations that will have only one solution are:

19x - 18 = -19x + 18  (option c)19x + 18 = -19x + 18  (option d)

When we have only one solution?

An equation of the form:

a*x + b = c*x + d

Has one solution only if a ≠ c.

With that in mind, we can see that the equations that will have only one solution are:

19x - 18 = -19x + 18  (option c)

19x + 18 = -19x + 18  (option d)

In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.

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3n-5p+2n=10 solve for n

Answers

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.



3n - 5p + 2n = 10
5n - 5p = 10
5n = 10 + 5p
n = 2 + p

convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=

Answers

The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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Games Made x
(in 1000s)
Profit y
(in $1000s)
4
6
8
10 12
118 142 150 142 118
Which type of function best models the data in the
table? Justify your choice.

Answers

The type of function that best models the data in the table is the quadratic function

How to determine the function type?

The table of values is represented as:

x: 4 6 8 10 12

y : 118 142 150 142 118

From the above table, we can see that:

The y values increase from 118 to 150The y values then decrease to 118The x values increase

This is only possible in a quadratic function

Hence, the type of function that best models the data in the table is the quadratic function

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