Brayden runs a farm stand that sells raspberries and grapes. Yesterday Brayden sold 44 pounds of raspberries and 43 pounds of grapes for a total revenue of $217. Today he sold 45 pounds of raspberries and 18 pounds of grapes for a total revenue of $144. Write a system of equations that could be used to determine the price of each pound of raspberries and the price of each pound of grapes. Define the variables that you use to write the system

1) The length of the rectangle is 15 feet and its width is 9 feet.

2) The admission price for an adult ticket is $10 and a student ticket is $6.

1) We shall use the formula for the area of a rectangle to find the length and the width:

A = l * w

where:

A = Area.

l = length

w = width.

Given:

l = 6 feet more than the width.

A = 135 feet square meter

First, we write an equation for the area like this:

(w + 6) * w = 135

Expanding the equation:

w² + 6w - 135 = 0

Next, solve the quadratic equation by factoring:

(w - 9)(w + 15) = 0

So either w - 9 = 0 or w + 15 = 0. This means that either w = 9 or w = -15. Since the width cannot be negative, we have w = 9.

Finally, we shall find the length since we know the width. This can be done by using the fact that it is 6 feet more than the width:

l = w + 6 = 9 + 6 = 15

So, the length is 15 feet and the width is 9 feet.

2) We can find the admission price for an adult ticket and a student ticket by using Mathematical operators:

Let,

a = an adult ticket price

s = a student ticket price

From the given information, we get these equations:

5a + 11s = 116

3a + 4s = 54

Next, solve by substitution.

Solving for 'a' in the second equation:

a = (54 - 4s) / 3

Then, substitute the second expression for 'a' into the first equation:

5((54 - 4s) / 3) + 11s = 116

Multiply both sides by 3:

5(54 - 4s) + 33s = 348

Finally, expand and simplify:

270 - 20s + 33s = 348

13s = 78

s = 6

So, a student ticket costs $6.

Plug this value into either equation to get the adult ticket price:

3a + (4 * 6) = 54

3a + 24 = 54

3a = 30

a = 10

So, an adult ticket costs $10.

Therefore,

1) The length of a rectangle is 15 feet and the width is 9 feet

2) The admission price for an adult ticket is $10 and that of a student is $6

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The second additional Polar representation of the point (3,-π/6) can be ($\frac{3\sqrt{6}}{2}$, $\frac{5\pi}{3}$) or ($\frac{3\sqrt{6}}{2}$, $-\frac{7\pi}{3}$).

We have a point in polar coordinates (3,-π/6) and we have to find two additional polar representations of this point. Let's recall the formula for converting from Cartesian to polar coordinates :x = rcosθy = rsinθAnd

the formula for converting from polar to Cartesian coordinates :r = √(x²+y²)θ = arctan(y/x)So, we can use the second formula to convert (3,-π/6) to Cartesian coordinates:$$x=3\cos(-\frac{\pi}{6})=3\cdot \frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{2}$$$$y=3\sin(-\frac{\pi}{6})=3\cdot \frac{-1}{2}=-\frac{3}{2}$$

Now we can use the first formula to convert back to polar coordinates:$$r=\sqrt{(\frac{3\sqrt{3}}{2})^2+(-\frac{3}{2})^2}=\frac{3\sqrt{6}}{2}$$$$\theta=\arctan(-\frac{3}{3\sqrt{3}})=-\frac{\pi}{3}$$

So, the first additional polar representation of the point (3,-π/6) is ($\frac{3\sqrt{6}}{2}$, $-\frac{\pi}{3}$).To find the second polar representation,

we need to add or subtract multiples of π to the angle until it is in the range [-2π, 2π].$$-\frac{\pi}{3}+2\pi=\frac{5\pi}{3}$$$$-\frac{\pi}{3}-2\pi=-\frac{7\pi}{3}$$

So, the second additional polar representation of the point (3,-π/6) can be ($\frac{3\sqrt{6}}{2}$, $\frac{5\pi}{3}$) or ($\frac{3\sqrt{6}}{2}$, $-\frac{7\pi}{3}$).

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Answer:

Kite

Step-by-step explanation:

Through researching, I have found that this quadrilateral is called a Kite.

I really Hope This helps!

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:11

Step-by-step explanation:smart

Answer:

2 1/6

Step-by-step explanation:

2/3+2/4=8/12+6/12=14/12=1 2/12=1 1/6

1 1/6+1=2 1/6

Answer:

21 hes got the right answer

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

7/16 - 7/12 ?

common multiple of 16 and 12 = 48   ((3x16 and 12x4)

7/16 - 7/12 = (7x3) / (16x3) - (7x4) / (12x4) = 21/48 - 28/48 = - 7/48

Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.

In geometry, parallel lines are coplanar unlimited lines that never cross. In a particular three-dimensional space, the parallel planes represent the ones that never cross. Parallel curves are those with a constant minimum separation between them and no places of contact or intersection. In geometry, parallel lines are two lines which run in the exact same plane, evenly spaced apart, and hadn't cross. Both vertical and horizontal can be used. In commonplace items like train tracks, stacks of notebooks, and crossings for pedestrians, straight lines can be seen.

The form of Jackson's poster is best described as a rhombus. A quadrilateral with a rhombus has opposing sides that are parallel and all of its sides are equal. Additionally, it has congruent opposing angles. In addition to having parallel opposing sides, a parallelogram also has non-congruent sides and angles. Only the opposite edges of a rectangle's parallel and congruent angles are congruent. Although the sides and angles of a trapezoid may not always be identical, at least one set of its sides must be parallel.

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complete analysis (carrying out steps A-H in section 4.4 from the Stewart textbook)

results as The graph of f(2) = et te is a straight line with a y-intercept of 1.

A) f(2) = et te

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers

Step B) Find any x-intercepts:

x-intercepts: None

Step C) Find any y-intercepts:

y-intercept: f(0) = e0te = 1

Step D) Find any vertical asymptotes:

Vertical asymptotes: None

Step E) Find any horizontal asymptotes:

Horizontal asymptote: None

Step F) Find any points of inflection:

Points of inflection: None

Step G) Find any symmetry:

Symmetry: None

Step H) Sketch the graph:

The graph of f(2) = et te is a straight line with a y-intercept of 1.

B) f(x) = tan-(+)

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers except -π/2, π/

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

Step-by-step explanation:

Yes, they are. The like term is the variable x. The combine to form 0

Hello!

4^16

note that 16 = 4²

thus (16)^8 = (4²)^8 = 4^(2 × 8) = 4^16.

Answer:

The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.

In this case, the diameter of the circle is given as 24 inches.

Using the formula, we can substitute the values:

C = πd

C = 3.14 * 24

C ≈ 75.36 inches

Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.

Step-by-step explanation:

Answer:

1. No, a decade is 10 years

2. No way of telling

3. No way of telling

Step-by-step explanation:

Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

\( \: :\implies \) 500000 /170

\( :\implies \: \) 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

\( \: :\implies \) 1000/0.21

\( \: :\implies \) 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

We have the following:

First we discard the systematic and self-selected sampling because they do not fit the situation.

We have to a convenience sample simply includes the individuals who happen to be most accessible to the researcher, and a random sample where people are randomly taken anywhere to conduct the survey.

Due to current conditions, taking the online survey is the most convenient way for the researcher, therefore this is the correct answer.

Answer:

Linear

Step-by-step explanation:

Ordered pair for the equation 4x-y=5 which is a solution of a given equation is (0,-5).

An ordered pair refers to a pair of two numbers or variables written inside the bracket and separated by comma.

To find an ordered pair of a equation we just need to find the values of x and y which will satisfy the given equation.

Here given equation is 4x-y=5

So we will put x=0 and y=-5

⇒ 4(0)-(-5)=5

Therefore (0.-5) satisfy given equation.

Hence (0.-5) is an ordered pair of 4x-y=5.

Note:- There are many ordered pairs that satisfy the given equation.

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The equation y = (1/3)x - 2 can be used to represent the equation x - 3y = 6 in slope-intercept form. 1/3 is the line's slope, and -2 is the y-intercept.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

We must get the value of y and isolate it on one side of the equation in order to formulate the equation x - 3y = 6 in slope-intercept form. Y = mx + b, where m is the slope and b is the y-intercept, is the slope-intercept form.

Beginning with the expression provided:

x - 3y = 6

Taking x away from both sides:

-3y = -x + 6

Y = (1/3)x - 2 x - 3 x - 3 x - 3 x - 3

As a result, the equation y = (1/3)x - 2 can be used to represent the equation x - 3y = 6 in slope-intercept form. 1/3 is the line's slope, and -2 is the y-intercept.

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Answer:

Q1    1 out 6 chance or 1 out of 5 I dont know which

Q2     1 out 2 is the reduced one but its 3 out 6

Step-by-step explanation:

To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.

Answer y = 8x -5

Answer:

y = 8x -5

Step-by-step explanation:

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The products of segment lengths for the two chords are the same.

  x(15) = (9)(5)

  x = 9·5/15 . . . . . divide by 15

  x = 3 . . . . . . simplify

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer:

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

__

Additional comment

Using b = c +10000, the two remaining equations are ...

<95141404393>

Answer:

c

Step-by-step explanation: since i helped can i have brainlist please :D