12x21/6 pls help ...........................................................

Answer:

I think there is an error in the question, I assume it reads:

4x+2y=20

x+3y=50

If not, please make appropriate corrections to the question.

Answer: x=-4, y=18

Step-by-step explanation:

4x+2y=20

Simplify, divide by two,

2x+y=10.....................(1)

x+3y=50....................(2)

Multiply (2) by 2

2x+6y=100 ....................(2a)

Subtract (1) from (2a)

2x+6y - (2x+y) = 100 - 10

5y = 90

y=18..............................(3)

Substitute (3) into (1)

2x+(18)=10

2x = 10-18 =-8

x=-4  ............................(4)

Substitute (3) and (4) into (1) for verification

2x+y = 2(-4)+18 = 18-10 = 10   checks.

Substitute (3) and (4) into (2) for verification

x+3y=-4+3(18) = -4+54 = 50  checks.

Have a nice day!

Answer:

Step-by-step explanation:

\(\sf (10-x)+(12-x)\)

Simplify:-

\(\sf 10-x+12-x\)

Combine like terms:-

\(\sf -x-x+10+12\)

\(\sf (-x-x)=\bf -2x\)

\(\sf (10+12)=\bf 22\)

\(\sf -2x+22\)

Hope this helps!

Have a great day!

Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

To learn more about standard deviation click here

brainly.com/question/13336998

#SPJ4

Solution

The standard form for the ellipse whose major axis

Write the equation in a standard form

(1) The centre of the ellipse is (h , k)

(2) The value of a = 5

(3) The value of b = 1

(4) The foci with the positive x value is the points

(5) The foci with the negative x value is the points

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

To know more about interest rate visit:

https://brainly.com/question/13324776?referrer=searchResults

#SPJ1

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

Learn more about Proposition here:

https://brainly.com/question/30695879

#SPJ1

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

for such more question on trapezoids

https://brainly.com/question/22351006

#SPJ8

Answer:

the answer is 6 trust. poopoo

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

Where are the answer choices my dude

Step-by-step explanation:

On evaluating the given equation using Strokes theorem we get the answer as -1.

Given equation,

∫CF⋅dr

Surface S can be considered as plane region whose equation is given as,

The equation of plane is given by ax + by + cz + d = 0

To find the equation of plane passing through the vertices as follows,

Substituting the value of vertices,

a + d =0 , a = -d

b = -d

c= -d

As per strokes theorem ,

∫CF⋅dr = ∫∫curlF.ds

By solving this we will get,

-2∫dx[y]   ( where limits of y : 0 , x-1)

On further solving

∫ CF⋅dr  = -1

A statement regarding the integration of differential forms on manifolds, known as Stokes Theorem (also known as Generalized Stoke's Theorem), generalises and simplifies a number of vector calculus theorems.

This theorem states that a line integral and a vector field's surface integral are connected.

To learn more about Strokes theorem

brainly.com/question/29320417

#SPJ4

Answer:

70 ish

Step-by-step explanation:

Answer:

To find the area of the rhombus, we need to first find the length of one of its diagonals. We can use the distance formula to find the length of any of the four sides:

LM = sqrt[(0 - (-7))^2 + (5 - 9)^2] = sqrt[49 + 16] = sqrt[65]

NO = sqrt[(1 - 8)^2 + (8 - 4)^2] = sqrt[49 + 16] = sqrt[65]

So both diagonals have the same length, which means the rhombus is also a square. The length of each side is:

LM = NO = sqrt[65]

Now we can find the area of the rhombus by using the formula:

Area = (diagonal1 * diagonal2) / 2

Since the diagonals are equal, we can simplify this to:

Area = (diagonal)^2 / 2

Substituting in the value for the diagonal, we get:

Area = (sqrt[65])^2 / 2 = 65 / 2

So the area of the rhombus is 32.5 square units

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

C 136

Step-by-step explanation:

2×68= 136

...........

....

Solution of an inequality

We can express the solution (s) of inequalities in several forms.

Here we will use two of them: The set-builder notation and the interval notation.

Let's solve the inequality

x - 1 ≤ 9

Adding 1 to both sides of the inequality:

x ≤ 10

The solution in words is "all the real numbers less than or equal to 10"

In set-builder notation:

{x | x <= 10}

In interval notation: (-inf, 10]

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer:

5 feet and 6 inches

Step-by-step explanation:

5 feet is 60 inches

Answer:

5 feet 6 inches

a foot is 12 inches. Go by 12s until you get to a number that's as close as you can make it without going overboard, then count what's left. 12 × 5 = 60, 66 - 60 = 6, hence 5 feet 6 inches

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

Below

Step-by-step explanation:

If you draw this diagram you will see a right triangle with legs = height

    and   10 miles

for the 6 degree angle  ( in the right triangle)

   tan ( 6) = opposite leg / adjacent leg

      tan (6) = height / 10

       or    10 * tan 6 = height     ( in miles)

                      1.05 miles high

840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

Read more about permutation at

https://brainly.com/question/11732255

#SPJ1

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

To learn more about number intervals visit:

https://brainly.com/question/13708942

#SPJ4

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Step-by-step explanation:

To find the equation of a line perpendicular to -2x+y= 9, we first need to determine the slope of the given line. We can rewrite -2x+y= 9 in slope-intercept form (y=mx+b) by isolating y:

-2x+y=9

y=2x+9

So the slope of the given line is 2. The slope of any line perpendicular to this line will be the negative reciprocal of this slope, which is -1/2.

Next, we can use the point-slope form of the equation of a line to find the equation of the line that passes through the point (6, 2) with a slope of -1/2:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. Plugging in the values, we get:

y - 2 = (-1/2)(x - 6)

Simplifying this equation, we get:

y - 2 = (-1/2)x + 3

y = (-1/2)x + 5

So the equation of the line perpendicular to -2x+y= 9 that passes through the point (6, 2) is y = (-1/2)x + 5.

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

Check this out-

https://brainly.com/question/29192128?referrer=searchResults

It is a rhombus kind of quadrilateral.

What is quadrilateral?

A quadrilateral has four sides, is two-dimensional (flat), closed (the lines join up), and has straight sides.

A rhombus is a four-sided quadrilateral with all of the features of a parallelogram.

A rhombus has three more characteristics: consecutive sides that are congruent; diagonals that bisect pairs of opposite angles; and diagonals that are perpendicular to one another.

Moving clockwise, beginning at point A in the top left corner of a hypothetical rhombus ABCD, you can see that side AB is congruent to side BC and side CD is congruent to side DA.

Additionally, you can see that diagonals AC and DB are perpendicular to one another and that the rhombus' diagonals split pairs of opposing angles.

Hence, It is a rhombus kind of quadrilateral.

To learn more about the quadrilateral visit,

https://brainly.com/question/23935806

#SPJ1

Using a linear function and a quadratic function, the system of equations that can be used to model this situation is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For this problem, the vertex is at (4,2), hence h = 4, k = 2 and the equation is:

y = a(x - 4)² + 2.

It passes through the point (5, 4), hence when x = 5, y = 4, which we use to find a.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The linear equation is given by:

y = mx + b

In which:

The road connects points (–3, 7) and (8, 2), hence the slope is given by:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

Multiplying by 11:

11y = -5x + 62.

5x + 11y = 62.

The system of equations is:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x + 11 y = 62 EndLayout

Step-by-step explanation:

The answer above is correct.

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Read more about fraction at

https://brainly.com/question/31896427

#SPJ1