& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8

Answers

Answer 1

Answer:

[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

x+2y=11 and 4x-y=8

⇒ x+2y=11

⇒ x=11-2y

Substitute.

4(11-2y)-y=8

Solve.

Distributive property:

⇒ A(B+C)=AB+AC

4(11-2y)

4*11=44

4*2=8

Rewrite the problem down.

44-9y=8

Subtract by 44 from both sides.

44-9y-44=8-44

Solve.

-9y=-36

Divide by -9 from both sides.

-9y/-9=-36/-9

Solve.

-36/-9=4

y=4

Substitute of y=4.

⇒ x=11-2*4

Use order of operations.

PEMDAS stands for:

ParenthesesExponentsMultiplyDivideAddSubtract

11-2*4

Multiply.

2*4=8

Rewrite the problem down.

11-8

Subtract.

11-8=3

x=3

Therefore, the correct answer is x=3 and y=4.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

Find The area of the figure below

Answers

Answer:

wow asphalt theme I have that too in my quizziz

How do you know if an equation of a line is a vertical line?

Answers

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

first to answer correctly will be marked brainliest

Answers

Answer:

Step-by-step explanation:

Binomial: 2 termsTrinomial: 3 termsLinear: a straight lineQuadratic: like a curved line

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2)  + (8 - 5x)

1(x² + 5x - 2)  + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12

Answers

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

9

Step-by-step explanation:

The answer above is correct.

These are two similar triangles.
What does x equal?

Answers

Answer:

112

Step-by-step explanation:

So, we know that a triangle's sides must add up to have a sum of 180. If you add up your given lengths and you should get 47, not including x. Then if you look at the left side/the one without a given length and it should be identical to the 21, so you know that side is 21. So now add 21 to 47, you should get 68. Finally, you subtract 68 from 180 like this: 180-68, and it should equal 112. So you're answer is 112.

A Parallelogram has one angle that measures 10°. What are the measures of the other three angles in the parallelogram?

Answers

given:

one angle= 10°

to find:

the remaining 3 angles.

solution:

angle sum= 360°

2x10=20

360–20=34

340/2=170

so, the remaining 3 angles are 10, 170 and 170.

Answer:

10, 170,  170

Step-by-step explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20   (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

In the figure, AC = BC. Find the value of b. ​

Answers

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

TEST IV. Suppose mZ1 = 651 = 650 and m29 = 132º. Find the measure of the following:​

Answers

Answer:

1.65°

2.115°

3.132°

4.48°

5.67

MARK A BRAINLESS THIS ANSWER

Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?

Answers

Answer:

2x

Step-by-step explanation:

X = chris's money

2 times chris's money = 2x

Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment

Answers

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

           .....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

Therefore, an equation to model the growth of the investment is,

A. 8/17
B. 15/17
C. 8/15
D. 15/8

Answers

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

Questions

answered

A rectangle has an area of 108 square inches. The rectangle's length is 6 inches longer than 4

times its width.

3

What is the rectangle's width?

Write your answer as an integer, a simplified proper or improper fraction, or a simplified

radical expression

Answers

Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem, we have that:

A = 108, l = 6 + 4w.

Hence, using the equation for the area:

lw = 108

(6 + 4w)w = 108

4w² + 6w - 108 = 0

2w² + 3w - 54 = 0

Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:

[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]

[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]

[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]

Width is a positive measure, hence it is of 3 inches.

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

y=3x-7
-4x+5y=20
solve algebraically

Answers

Answer:

so x=5 and y= 8

Step-by-step explanation:

[tex]y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8[/tex]

HI can somebody outline it pls and tyy

Answers

Answer:

Step-by-step explanation:

*View the attached file*

Hope this helps!

Write the equivalent expression to (5x – 3x?) – (5x – 2) · (10x + 7x) in standard form

Answers

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

First write out the equation which is (5x - 3x²) - (5x - 2)(10x + 7x²). Then distribute 5x - 3x²  to -(50x² + 35x³ - 20x - 14x²). After that, combine the like terms and don't forget to distribute the negative as well, 5x - 3x² - 36x² - 35x³ + 20x. Lastly combine all the like terms to end up with this -35x³ - 39x² + 25x.

Hope this helps :)

Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep. 1. Calculate the volume and surface area of a standard cereal box. Be sure to write down the formulas used and show all work 2. Calculate the cost of manufacturing a standard cereal box if cardboard cost $0.05 per square inch. show all work

Answers

Answer:

Volume: 192 cubic inches

Surface area: 272 square inches

Manufacturing cost: $13.60

HELP PLEASE!

15 POINTS

Answers

Answer:

Its 58

Step-by-step explanation:

2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56

Is the last one 56 because it will be 58 but the closest will 56

How could you find the distance between the points (-2.5, 4.5) and (1.25, 4.5)?

Answers

Answer: By using the distance formula

Step-by-step explanation:

   The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.

Need to solve for the distance?

   Taking the formula, we will plug in the coordinate points given and solve.

    [tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]

    [tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]

    [tex]\displaystyle d =3.75[/tex] units

   

Flynn has $4 worth of quarters.

How many quarters does Flynn have?


4 quarters

16 quarters

40 quarters

80 quarters

Answers

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

it would be 16 quarters if you do 4 times 4 that equals 16

Find the surface area (Leave your answer in terms of π) of a sphere with a radius of 12. Use 4πr² to solve.

76π

576π

48π

580π

Answers

The answer is 576π. Break down the formula: 4πr²=4*π*r(12)². 12² or 12*12 is 144. You still have 4 and π. So multiply 144 by the 4 to get 576 and finally multiply that by pi to get you the final answer of 576π.

Answer:

576π

Step-by-step explanation:

Surface Area of a Sphere

4πr²

Given

r = 12

Solving

S.A. = 4 x π x (12)²S.A. = 4 x 144 x πS.A. = 576π

What scientific value for n will make this equation true? (4.8 × 10–3)(n) = 9.6 × 109 2.0 × 10–6 2.0 × 10–3 2.0 × 103 2.0 × 1012

Answers

The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)

How does scientific notations work?

The number is written in the form  [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Finding the value of n from the given equation:

[tex](4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}[/tex]

Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: [tex]2.0 \times 10^{12}[/tex]

Learn more about scientific notation here:

https://brainly.com/question/3112062

Answer: D

Step-by-step explanation:

Question Find the range of the data. 95,63,52,8,93,16,42,37,62 The range is

Answers

Answer: 87

Step-by-step explanation:

  The range is the largest data value minus the smallest data value.

95 - 8 = 87

find the value of x

Answers

Answer:

82•5°

Step-by-step explanation:

[tex]28 + 68.5 + x = 180[/tex]

[tex]x = 180 - 97.5[/tex]

[tex]x = 82.5[/tex]

Here,

let the forth degree of the quadrilateral be y

Then,

90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)

or, 248.5+ y=360°

or, y = 360° - 248.5°

or, y= 111.5°

Again, the second angle of the triangle be a

Then,

a=111.5(vertically opposite angle)

Lastly,

29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)

or, 140.5° + x = 180°

or, x =180° - 140.5°

or, x=39.5°

What is the distance between the points (7,4) and (4,4)

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (7,4)~ \text{and}~ (x_2,y_2)=(4,4)\\\\\text{Distance,}~ d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{(7-4)^2+(4-4)^2}\\\\~~~~~~~~~~~~~~~~=\sqrt{3^2}\\\\~~~~~~~~~~~~~~~~=3[/tex]

A tee shirt company charges $240 for 12 tee shirts. They charge the same amount of money for each shirt.

Which table represents the relationship between the number of tee shirts the company sells and the amount of money they charge?

Number of shirts Amount charged (dollars)
2 $24
4 $48
6 $72
8 $96

Number of shirts Amount charged (dollars)
5 $100
10 $200
15 $300
20 $400

Number of shirts Amount charged (dollars)
10 $240
11 $240
12 $240
13 $240

Number of shirts Amount charged (dollars)
12 $240
14 $264
16 $288
18 $312

Answers

Step-by-step explanation:

$240 for 12 t-shirts.

that means 240/12 = $20 per shirt.

therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.

all the other options use a different unit price.

You purchased 7 3/4 lb of candy for your party. You're expecting to have 10 guests attend your party. How much candy will each guests get?

Answers

Answer: .775 lbs

Step-by-step explanation:

7 3/4 _> 7.75

7.75 / 10 = .775

The product of two consecutive positive integers is 812. What is the value of the lesser integer?

7
28
58
203

Answers

Answer:

It's 28, B

Step-by-step explanation:

EDGE 2022

If product of two consecutive positive integers is 812 then the value of lesser integer is 28.

What is Equation?

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

Let's represent the lesser integer by x.

The next consecutive integer would be x + 1.

According to the problem, the product of these two integers is 812. So we can set up the equation:

x(x + 1) = 812

Expanding the left side and simplifying, we get:

x² + x = 812

Rearranging and factoring the left side, we get:

x² + x - 812 = 0

(x - 28)(x + 29) = 0

we can eliminate the negative value.

Therefore, the value of the lesser integer is 28. option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5


Please help me with this thank you

Answers

Answer:

  -11x² +14x -11

Step-by-step explanation:

When one polynomial is subtracted from another, each of the terms of the subtrahend is subtracted from the corresponding term of the minuend.

  (-2x² +4x -10) -(9x² -10x +1)

  = (-2 -9)x² +(4 -(-10))x +(-10 -1)

  = -11x² +14x -11

An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 1 hour?

Answers

given:

820 miles

to find:

how far the airplane can travel in an hour.

solution:

x= v × t

x= 820 × 1

x= 820 miles

so, the airplane can travel 820 miles per hour.

PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.

Answers

Answer:

x=13.9

Step-by-step explanation:

To find x we need an angle other than the right angle to use a trigonometric function. To do this we could either use Sine = Opposite/Hypotenuse or Cosine = Adjacent/Hypotenuse.

In this case i'll be using sine.

To find the angle that is above the right angle we need to use the inverse of Sine. Set up the equation

[tex] \sin^{ - 1} = \frac{22}{26} [/tex]

The answer to this is about 57.8. So now we have an angle to use to solve for x.

So now we set up the proportion

[tex] \frac{ \cos(57.8) }{1} = \frac{x}{26} [/tex]

Cross multiply.

x = 26×cos(57.8)

Put this in a calculator and x is about 13.9

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