You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?

Answers

Answer 1

The one-time entry fee is $12.

In order to determine the one-time entry fee, two equations have to be formed from the information in the question:

x + 5y = 42 equation 1

x + 7y = 54  equation 2

Where:

x = one-time entry fee

y = cost to pick an apple per pound

In order to determine the one-time entry fee, take the following steps:

Multiply equation 1 by 7 and equation 2 by 5.

7x + 35y = 294 equation 3

5x + 35y = 270 equation 4

Subtract equation 4 from equation 3

2x =24

Divide both sides of the equation by 2

x = $12

To learn more, please check: brainly.com/question/23589883


Related Questions

Help me with answer plzzzzz

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Answer:

a

Step-by-step explanation:

What is the slope of the line?

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Answer:

looks like 3/4

Step-by-step explanation:

Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

2x^2 + 4x – 5 = 0

Answers

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

(4,-5), (4, -1)
what is the slope

Answers

Answer:

there is no slope

Step-by-step explanation:

you cannot divide by zero

Answer:

slope is undefined

Step-by-step explanation:

The slope is the difference in y divided by the difference in x.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

That is the 2nd point's value minus the first, where the points are (x1, y1) and (x2, y2)

Given these 2 points, calculate the slope:

[tex]m=\frac{-1--5}{4-4}\\\\m=\frac{4}{0}[/tex]

In this case, the slope is undefined. A function cannot have multiple outputs for the same input, and an undefined slope has infinite outputs for 1 input. You can see that in the attached image, it's a vertical line.

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Hemp help help math

Answers

Answer:

1

Step-by-step explanation:

f(x) = y

that expression asks what y is when x = -2.

you can solve this by plugging in -2 for x in the function.

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

f(-2) = -6 + 7

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps

Choose whether the following graph represents a linear function or a nonlinear function.

Answers

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

Help with number 3 please

Answers

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form



Please help me
A?
B?
C?
D?

Answers

Answer:

B

Step-by-step explanation:

Answer:

[tex]13x^{10}[/tex]

Step-by-step explanation:

[tex]4x^{10}+9x^{10}[/tex]

[tex](4+9)x^{10}[/tex]

[tex]13x^{10}[/tex]

Because [tex]x^{10}[/tex] can be factored out from both terms, you just add 9 and 4 and keep the [tex]x^{10}[/tex].

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)

answer please!!!!!!!​

Answers

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

The first three terms of an arithmetic sequence are as follows.
28, 23, 18
Find the next two terms of this sequence.

Answers

Answer:

13, 8, 3

Step-by-step explanation:

Subtract 5 from the following terms.

Mark me as the brainliest please, Thank you!

what is the greatest common multiple of 9 and 27

Answers

Hi,

The greatest common multiple of 9 and 27 is 9

explanations:

9 x 1 = 9

9 x 3 = 27

✅;-)

The quadrilaterals JKLM and PQRS are similar find the length x of PQ

Answers

the fist shape os double the second so you would half 5 to get 2.5 to find the length of PQ
answer = 2.5 please give brainliest if thats okay lol

Answer:

side MJ was 4 then it became 2 at side SP

side ML was 3 then it became 1.5 at side SR

side LK was 3 then it became 1.5 at side RQ

so we will divide 5 by 2 / 5÷2 = 2.5

I need the answer urgent plssss

Answers

Answer:

4,6,14,18, and 20

Step-by-step explanation:

what is the value of 3.5(11+1.9(11)+1.6(11)?

Answers

Answer:

The answer is 77

1. Determine the domain and range of the function f(x) = x2 + 2. Give your answer in all three notations for continuous
functions.
=
pls help!! algebra 1 math

Answers

Answer:

First what does x represent. For example x could equal 5 so (5)2 +2 simplified is 10 +2 which is 12 :)

Step-by-step explanation:

Help me on 5 and 6 plssssss

Answers

For number 5, you just plug -2 into x. We now have g(-2)=3(-2)+1. This gives us g(-2)=-5.

This is the same for 6. h(-6)=-3(-6)-2. This gives us h(-6)=16.

The answer is g(-2)=-5. The other answer is h(-6)=16.

What is the value of x in the figure shown below?

Answers

Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

A relation is plotted as a linear function on the coordinate plane starting at point E at(0, 27)and ending at point F at (5, â’8). What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is Choose. And the initial value is Choose. .

Answers

The rate of change of a linear function is the slope of the function.

The rate of change is -7 and the initial value of the function is 27

The points are given as:

[tex]E = (0,27)[/tex]

[tex]F = (5,-8)[/tex]

The slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-8 - 27}{5-0}[/tex]

Rewrite the fraction as:

[tex]m = \frac{- 35}{5}[/tex]

Divide -35 by 5

[tex]m = -7[/tex]

So, the rate of change is -7

The initial value of the function is the value of the function when the input value (i.e. x) is 0.

At point E, we have: [tex]E = (0,27)[/tex]

So, the initial value of the function is 27

Read more about linear functions at:

https://brainly.com/question/15602982

The rate of change for the linear function is -7 and the initial value is 27.

Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age?

Answers

Mikhail is 18 years old.

Gabrielle is 36 years old.

18 * 2 = 36
and
18 + 36 = 54

if 3/15 is equivalent to 45/n. find n

Answers

Answer:

n = 225

Step-by-step explanation:

Multiply 15 by 15

3/15=45/n
Cross multiply
3n=675
Divide both sides by 3
n=675/3
n=225

I need help with a photo and y’all can choose whatever like for number 7

Answers

Step-by-step explanation:

The one point where the lines intersect is one solution. If both points are on the same line it is one solution. If the lines do not intersect it is no solution.

What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.

Answers

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

P = 2(L + W)

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.

Answers

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

Find the Common Denominator of 3/12 and 7/12


show your work

Answers

The common denominator is already there 12 is the common denominator!! :)

Step-by-step explanation:

3/12 7/10

Make the Denominators same

3*5/12*5 = 15/60

7*6/10*6 = 42/60

Common Denominator is 60

i need answer for knoledge

Answers

Answer:

I couldn't understand what you actually mean. But, I -think you are trying to ask what is the meaning of Knowledge.

HERE - (definition of knowledge)

facts, information, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject.

if 5(2x-1)=35,then x=

Answers

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

Answer:

x=4

Step-by-step explanation:

distribute the 5: 10x-5=35

add 5 to both sides: 10x=40

divide both sides by 10: x=4

Which graph shows the original figure rotated 180 degrees

Answers

It should be B because 180° should transfer it to the opposite quadrant and change the signs of both x and y

Answer:

I believe it would be B.

Step-by-step explanation:

Half a circle is 180 degrees, which is the location of option B. In other words you just rotate it halfway around and you'll find it at 180°.

Pls help on #7 I will give brainiest ! 7th grade level

Answers

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

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