Solve the following system of linear equations using elimination. 3x+y=10 4x-y=4

Answer:

Step-by-step explanation:

As the teacher wants to make 4 identical gift bags, each bag must have equal number of markers. Divide 35/8 Which gives 8 as quotient and 3 as remainder.

3 markers will be left over

Therefore , the solution of the given problem of coordinates comes out to be  C coordinates are (-2, 3).

By using one or maybe more elements or coordinates, a reference frame may precisely locate location and other mathematical objects on such a space, including Euclidean space. Coordinates, which seem to be sets of integers, can be used to find a point or object in a double plane. The y and x vectors provide information about a point's location even on a the double surface.

Here,

The steps listed below can be used to determine how ABCD is reflected across the line when x = -1:

On the coordinate plane, trace the line x = -1:

From C, draw a perpendicular line to x = -1.

Extend this line to the side of x = -1 that is opposite:

This line crosses the other side of the x = -1 equation at point C'.

Since x = -2 is one unit distant from x = -1,

we may get its coordinates by finding the y-coordinate where the line crosses x = -2:

Line from C to x = -1 has a slope of (3 - 1)/(-3 - (-1)) = 1/2.

As a result, y - 1 = (1/2)(x + 3), or y = (1/2)x + (7/2) is the equation for this line.

By substituting x = -2 into this equation, we can determine the y-coordinate of C' at x = -2: y = (1/2)(-2) + (7/2) = 3.

Hence, C"s coordinates are (-2, 3).

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Answer: 0.07

Step-by-step explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.

If Nolan is dividing 2 by 11 and he continues the process, the the result will be repeating quotient 0.181818...

Here Nolan is dividing 2 by 11.

Division is one of  the basic arithmetic operation. Division is operation of splitting a specific number into equal parts

The quotient is the result from dividing a number from another number.

Divide the given terms and the result will be

2/11 = 0.1818...

The result will be a repeating quotient . Here the pattern is repeating endlessly

Hence, if Nolan is dividing 2 by 11 and he continues the process, the the result will be repeating quotient 0.181818...

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Answer:

x=2

Step-by-step explanation:

Subtract 4 from 8

4 = 2x

Divide 4 by 2x

x = 2

The value of x in the expression 8 = 2x + 4 is 2.

We have,

Expression:

8 = 2x + 4

Combine like terms.

8 - 4 = 2x

4 = 2x

DIvide 2 into both sides of the equation.

4/2 = 2x/2

2 = x

Thus,

The value of x in the expression is 2.

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Answer:

lol I rlly thought hahhahaha

200 physics textbooks and 122 math textbooks were sold.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's use variables to represent the number of physics and math textbooks sold. We can call the number of physics textbooks "p" and the number of math textbooks "m".

From the problem, we know that the total number of textbooks sold is 322, so we can write:

p + m = 322

We also know that the number of math textbooks sold was 78 less than the number of physics textbooks sold. In other words, we can write:

m = p - 78

Now we can substitute the second equation into the first equation to eliminate "m" and solve for "p":

p + (p - 78) = 322

2p - 78 = 322

2p = 400

p = 200

So 200 physics textbooks were sold. To find the number of math textbooks sold, we can substitute this value of "p" back into the equation we used earlier:

m = p - 78

m = 200 - 78

m = 122

Therefore, 122 math textbooks were sold.

To check our work, we can verify that the sum of the number of physics and math textbooks sold is indeed 322:

200 + 122 = 322

So our solution is correct.

Therefore, 200 physics textbooks and 122 math textbooks were sold.

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Answer: Hello! I'm Jungkook. Here is your answer.....

The expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:

Hope this helps! Anneyong/Bye!

xoxoKookie

Answer:

y=5/2x+2

Step-by-step explanation:

To get the slope,

(-5-0) /(0-2)=-5/-2=5/2

Introduce points (x,y) (0,2) i.e one of the given points ,it should give same answer either way

(0,2)(x,y)

y-2/x-0=5/2

Cross multiplication,2(y-2)=5(x-0)

2y-4=5x-0

2y=5x-0+4

2y=5x +4

Divide both sides by 2 to get

y=5/2x+2.

Answer:

The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min

The hut tub volume is 300 Gallons

You can set up this problem as follows:

Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

3.2  g    1min

300 g     ? min    = (300 gallons x 1min/ 3.2 gallons)=(300/32)min

= 93.75 min

The image of the polygon after a reflection in the line y=x is having vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.

A reflection is a sort of transformation that creates a new shape by flipping a shape, called the preimage, across a line, called the line of reflection (called the image). You may imagine what would occur if the form were turned over the line to graph a reflection.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image).

You can picture what would happen if you flipped the form over the line in order to graph a reflection.

If a point A(x, y) is reflected about the line y = x,

the new point would be at A'(y, x)

Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1).

The image of the polygon after a reflection in the line y=x has vertices at:

A'(-3, 6), B'(-2, 1) and C'(1, 4)

The image of the polygon is attached.

Therefore, according to the attached graphic, the vertices of the polygon's image after a reflection in the line y=x are located at A'(-3, 6), B'(-2, 1), and C'(1, 4).

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The amount on compound interest is $ 96,685,319.07

The amount on compound interest is given by A = P(1 + r)ⁿ where P = principal amount, r = interest rate and t = time

To find the amount on compound interest given that

So, substituting the values of the variables into the equation, we have that

A = P(1 + r)ⁿ

A = $3830(1 + 0.66)²⁰

A = $3830(1.66)²⁰

A = $3830(25244.21)

A = $ 96,685,319.07

The amount is $ 96,685,319.07

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Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

1, 1, 2, 2, 4, 5, 8

Step-by-step explanation:

Hope this helps :)

Maybe brainliest?

Answer:

11t.

hope this helps you

Answer:

x could be 3 or 1

Step-by-step explanation:

x²+3=4x

x²-4x+3=0

(x-3)(x-1)

x could be 3 or 1

The values could be 1 or 3.

In this exercise, you're required to write a mathematical (algebraic) expression for the given word problem and determine which values could be the unknown number.

Translating the word problem into an algebraic expression, we have;

\(n^{2} = 4n - 3\\\\n^{2} - 4n + 3 = 0\)

We would solve the quadratic equation by using the factorization method;

\(n^{2} - 3n -n + 3 = 0\\\\n(n - 3) - 1(n - 3) = 0\\\\(n - 1)(n - 3) = 0\)

Therefore, the values could be 1 or 3.

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Answer:

USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.

Answer:

C.) 5

Step-by-step explanation:

Hope you have a good day and get good grades

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8

An intercept is a point at which the line crosses the axis of a graph. The point at which the line crosses the x-axis is known as the x-intercept, whereas if a line crosses the y-axis at a point, then the point will be the y-intercept.

Here we have,

-1.2x + 8.2y = 39.36

To find x - intercept substitute y = 0

=> -1.2x + 8.2(0) = 39.36

=> -1.2x = 39.36

=> x = 39.36/1.2

=> x = -32.8

To find y - intercept substitute x = 0

=> -1.2(0) + 8.2y = 39.36

=> 8.2y = 39.36

=> y = 39.36/8.2

=> y = 4.8  

Therefore

The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8

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Answer:

B

Step-by-step explanation:

x² - 6x = 0

x² - 6x + (6/2)² = (6/2)²

x² - 6x + 9 = 9

(x - 3)² = 9

So B

Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Answer: $16.60

Step-by-step explanation:

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

total: 16.60

The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip  $16.60

We have given that,

Carl went out for breakfast.

• The price of his meal was $12.35.

• The sales tax was 7.5% of the price of the meal.

• The tip was 25% of the price of the meal and the sales tax.

We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.

Total money=price + tax

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

Total money =16.60

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Answer:

I think I will equal 3x^5-5x^3+21x+3sinx+cosx+5

Answer:

  k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

The area of a circle is given by the formula ...

  A = πr²

Then the area of the outer circle is ...

  A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

  A = π(8 cm)² = 64π cm²

The area of the whole donut is the difference of these areas:

  whole donut area = (196 -64)π cm² = 132π cm²

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

  shaded area = (300°/360°)×whole donut area

  shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

  k = 110