Solve the system of linear equations by multiplying. Check the answer by graphing the system of
equations.
9x - 3y
= -3
2x + 5y
= 22
The solution is

Answer:

the first person, y=4-3x

the second person, y=2+3x

Answer:

A≈615.75cm²

Step-by-step explanation:

A=πr2=π·142≈615.75216cm²

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Therefore, total surface area = 1100 sq units

your answer is 1725 hope that helped

Answer: 28x+16

Step-by-step explanation:

Jada can get 4 albums or she can get 80 individual songs for $20. The equation will be written as 0.25s + 5a = 20.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that It costs $0.25 to download an individual song and $5 to download an album. Jada has $20 to spend downloading music.

The equation will be written as,

0.25s + 5a = $20

The number of individual songs will be,

0.25s = 20

s = 20 / 0.25

s = 80

The number of albums,

5a = 20

a = 20 / 5

a = 4

The complete question is given below.

It costs $0.25 to download an individual song and $5 to download an album. Jada has $20 to spend downloading music.

a. Make a table showing three ways Jada can spend $20 downloading individual songs and albums. (s the being number of individual songs and a being the number of albums.)

b. Write an equation relating the number of individual songs (s) and the number of albums(a) in standard form.

To know more about an expression follow

brainly.com/question/29243015

#SPJ1

The number of dimes Joe has is 6.

Joe has dimes and nickels, the total amount is $1.45

We have to find the number of dimes Joe has.

Suppose the number of dimes is d, so we have the number of nickels is 2d + 5

Now from the question, we get an equation:

0.10d + 0.05( 2d+ 5) = $1.45

To know the value of d we need to solve the equation:

0.10d + 0.10d + 0.25 = 1.45

0.20d = 1.20

d = 120/20

   = 6

Hence we get the total number of dimes Joe has is 6.

To know more about the linear equation refer to the link given below:

https://brainly.com/question/28573537

#SPJ1

Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

Answer: 15$

Step-by-step explanation:

Given

Kendra spent one-third of allowance on a book and two-fifth on snack.

If she had four dollar remaining after purchase

Suppose x is the original amount

\(\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15\)

Thus, 15$ was her total allowance.

The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

To learn more about data: https://brainly.com/question/179886

#SPJ11

Answer:

y=14

Step-by-step explanation:

Answer:  X = -1/2

Step-by-step explanation:

(i) Y = 2X + 1

(ii) X = 7 - 2Y

We can substitute the value of X from equation (ii) into equation (i) and solve for Y.

Substituting X = 7 - 2Y into equation (i), we have:

Y = 2(7 - 2Y) + 1

Simplifying:

Y = 14 - 4Y + 1

Y = -3Y + 15

Adding 3Y to both sides:

4Y = 15

Dividing both sides by 4:

Y = 15/4

Now, we can substitute this value of Y back into equation (ii) to find X:

X = 7 - 2(15/4)

X = 7 - 30/4

X = 7 - 15/2

X = 14/2 - 15/2

X = -1/2

Therefore, the value of X is -1/2 when solving the given system of equations.

The solution to the system of equations Y=2X+1 and X=7−2Y is X=1 and Y=3.

To solve this system of equations, you can start by substituting y in the second equation with the value given in equation (i) (2x+1). So, the second equation will now be X = 7 - 2*(2x+1).

This simplifies to X = 7 - 4x - 2. Re-arrange the equation to get X + 4x = 7 - 2, which further simplifies to 5x = 5, and thus x = 1.

Now that you have the value of x, you can substitute that in the first equation to find y. Hence, Y = 2*1 + 1 = 3.

Therefore, the solution to this system of equations is X = 1 and Y = 3.

https://brainly.com/question/35467992

#SPJ2

Answer:d

Step-by-step explanation:

Answer:

1:1

Step-by-step explanation:

The ratio would be 1:1 since it's a square, the sides will always be the same. In a square ,all sides are the same length. If they are not, then it wouldn't be a square.

Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true the number is a solution

Answer:

subtracting a negititive is the same as adding so -66.1+55.6

Hope This Helps!!!

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

Answer:

pi/18 radians

Step-by-step explanation:

To convert from degrees to radians, use the conversion factor 180 degrees = pi radians

10 degrees * pi radians           pi

                     -----------------   =   --------  radians

                     180 degrees           18

pi/18 radians

 The height of the top change when the lower end is feet from the wall by -4.5 ft/sec.

Given,

Assume that the horizontal floor is x and the vertical wall is y in distance (6 ft).

This creates a triangle, with the ladder serving as the 10 foot hypotenuse.

dy/dt = 6 feet per second.

Pythagoras' law states that there is a link between x and y.

(x²) + (y²) = (hypothenus²) = 10².

When both sides of the equation are distinct,

0 = 2x(dx/dt) + 2y(dy/dt)

(x/y) × (dx/dt) = dy/dt

y = √(10²) - (6²) = 8ft

Consequently, dy/dt = (6/8) × (6/1)= -4.5 ft/sec.

The rate is negative.

That is,

When the lower end is feet from the wall, the height of the top changes by -4.5 feet per second.

Learn more about height of the top here;

https://brainly.com/question/17151360

#SPJ4

With respect to the average cost curves, the marginal cost curve: intersects both average total cost and average variable cost at their minimum points that is option B.

The fixed cost per unit of production is the average fixed cost (AFC). AFC will reduce consistently as output grows since total fixed costs stay constant. The variable cost per unit of production is known as the average variable cost (AVC). AVC generally declines until it reaches a minimum and then increases due to the growing and then lowering marginal returns to the variable input. The average total cost curve's (ATC) behaviour is determined by the behaviour of the AFC and AVC.

Learn more about Marginal cost curve:

https://brainly.com/question/15570401

#SPJ4

Complete question:

With respect to the average cost curves, the marginal cost curve:

A) Intersects average total cost, average fixed cost, and average variable cost at their minimum point

B) Intersects both average total cost and average variable cost at their minimum points

C) Intersects average total cost where it is increasing and average variable cost where it is decreasing

D) Intersects only average total cost at its minimum point

If Maria plans to invest $2,616 in a mutual fund. James large cap fund is currently selling for 8.72 per share. The number of shares she can she buy at this price is 300 shares.

Using this formula to find the number of shares

Number of shares = Total investment amount / Price per share

Where:

Total investment amount = $2,616

Price per share = $8.72

Let plug in the formula

Number of shares = $2,616 / $8.72

Number of shares ≈ 300

Therefore Maria can buy 300 shares at the current price of $8.72 per share.

Learn more about number of shares here:https://brainly.com/question/28539863

#SPJ1

The length of radius of the circle having center at (2-i) and point on circle at (8+7i) is 10 units .

To find the length of the radius of a circle with a center at (2-i) and a point on the circle at (8+7i), we can use the distance formula , which is

The formula to find distance between 2 points (x₁, y₁) and (x₂, y₂) is given by:

⇒ d = √[(x₂ - x₁)² + (y₂ - y₁)²] ,

In this case, the center of the circle is (2-i), which means that the x-coordinate of the center is 2 and the y-coordinate is -1.

The point on the circle is (8+7i), which means that the x-coordinate of the point is 8 and the y-coordinate is 7.

By using distance formula, we can find distance between the center and the point on circle ,

⇒ d = √[(8 - 2)² + (7 - (-1))²]

⇒ d = √[6² + 8²]

⇒ d = √[36 + 64]

⇒ d = √100

⇒ d = 10

Therefore, the length of the radius of the circle is 10 units.

Learn more about Circle here

https://brainly.com/question/26670345

#SPJ4

The given question is incomplete , the complete question is

What is the length of the radius of a circle with a center at (2-i) and a point on the circle at (8+7i)?

g(x) = x^2 - 3

f(x) = x^3+7x^2-x

Start with the g(x) function. Replace every x with f(x)

g(x) = x^2 - 3

g(f(x)) = ( f(x) )^2 - 3

Then replace the f(x) on the right side with x^3+7x^2-x

g(f(x)) = (x^3+7x^2-x)^2 - 3

The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6

So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6

The statement that is not possible as an alternative hypothesis in an analysis of variance is: c. Each of these are possible alternative hypotheses. The correct option is c.

In an analysis of variance (ANOVA), the alternative hypothesis should make a specific claim about the differences between the means of the groups being compared.

Option c suggests that all of the given alternatives are possible, which is not true. Each alternative hypothesis should specify the relationship between the means of the groups being compared.

Option c is the correct answer.

To know more about Alternative Hypothesis refer-

https://brainly.com/question/29511315#

#SPJ11

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

To learn more about organisms : brainly.com/question/13278945

#SPJ11

Answer:one number is eight more than twice another and their sum is 20. what are their number? one number = x = 2y+8 another number = y so, (2y+8)+ y=20 simplify 3y+8=20 3y=20-8 3y=12 y=4, checking the answer gives x=2(4)+8=16 so, y = 4 and x = 16 4+16=20

Step-by-step explanation: hi stay safe stay home only this year ok