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?
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
[tex](\sqrt[3]{5})^{2}[/tex]
Answer:
[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{5})^2[/tex]
[tex](5^{\frac{1}{3}})^2[/tex]
[tex]5^{\frac{1}{3}*2}[/tex]
[tex]5^\frac{2}{3}[/tex]
Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]
Match each operation to its opposite
1. Find the surface area of the pyramid to the nearest whole number.
12 m
6 m
Please help me with my Geometry.
Answer:
4 feet
Step-by-step explanation:
I dont know if its right but i hope it is!
Simplify (x-4) (x^2 + 3x + 2)
Answer:
x^3-x^2-10x-8
Multiply each term in the first expression by each term in the second expression and combine like terms.
Which is the graph of f(x) = 2(3)*?
Answer:
First option (top left)
Step-by-step explanation:
Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.
I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.
Then we plug in the coordinates they give.
It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.
We can check that this is right by disproving the third one (top right).
[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.
The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.
Therefore, our first answer, the one on the top left, is correct.
note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.
Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256
Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.
The equilibrium constant of the reaction is 0.0030.
The equation of the reaction is given as;
N2(g) + 3H2(g) ⇆ 2NH3 (g)
We have the following information at equilibrium;
[NH3] = 0.105 M
[N2] = 1.1 M
[H2] = 1.50 M
Hence, we can calculate the equilibrium constant using the relation;
K = [NH3]^2/ [N2] [H2]^3
Substituting values;
K = [0.105]^2/[ 1.1] [1.50]^3
K =0.011025 /3.7125
K= 0.0030
Learn more: https://brainly.com/question/17960050
which expression is equivalent to the expression (2x+4)(x-6) pls i need it
Answer:
[tex]B.~2x^2-8x-24[/tex]
Step-by-step explanation:
FOIL the terms and then add like terms.
[tex]2x\cdot x=2x^2\\2x\cdot -6=-12x\\4\cdot x=4x\\4\cdot -6=-24\\\\2x^2-12x+4x-24\\2x^2-8x-24[/tex]
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
Heather bought 7 cases of water for $38.50. How much did each case cost?
38.50/7 = $5.50 for each cases of water Heather bought.
Answer:
$5.50 / case
Step-by-step explanation:
Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case
5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ2
I dont get it, pls help me
Answer:
B
Step-by-step explanation:
Each tick = + or - 2 depending on which quadrant and axis
So the first line (the slanted one) intersects the y axis at (0,5) and continues until (2,5)
Then the line becomes straight (the y remains constant) from (2,5) (the points x value is 2) to (2,10) (the points x value is now 10)
what the avage of 87.25
Answer:
B+
3.3 GPA
Step-by-step explanation:
A brainly Would be greatly appreciate!!!
Answer:
87.25
Step-by-step explanation:
What is equivalent to
4(b+5)
Identify two ANGLES that are marked congruent to each other on the diagram below
Answer:
Angle J is congruent to Angle G
Use the distributive property to remove the parentheses.
-9(-6u+v-5)
I need help- I’ll get brainly list
Answer:
54u - 9v + 45
Step-by-step explanation:
distributive property
solve: -4(-6x-3)+4x=3
Answer:
x=-9/28
Step-by-step explanation:
-4(-6x-3)+4x=3
24x+12+4x=3
28x+12=3
28x=-9
x=-9/28
Answer:
x = -9/28
Step-by-step explanation:
-4(-6x - 3) + 4x = 3=> 24x + 12 + 4x = 3=> 28x + 12 = 3=> 28x = 3 - 12=> 28x = -9=> x = -9/28Therefore, the solution is 'x = -9/28'.
Hoped this helped.
2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?
What is 0.02349 written in standard form to 3 significant figures
Solve from right to left
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
Solve for W.
A=6W
help timed
Answer:
w = [tex]\frac{a}{6}[/tex]
Step-by-step explanation:
6w= a
---- ----
6 6
w = [tex]\frac{a}{6}[/tex]
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
an airplane on autopilot took 5 hours to travel 3,475 kilometers, what is the unit rate?
Which statement is true about the slope of the line and what it means in this
situation?
The slope of the line is 1. This means that Jan runs 1 lap every minute.
The slope of the line is 2. This means that Jan runs 2 laps every minute.
I
The slope of the line is 2. This means that Jan runs 1 lap every 2 minutes.
The slope of the line is 4. This means that Jan runs 4 laps every minute.
Answer:
B. The slope of the line is 2. This means that Jan runs 2 laps every minute.Step-by-step explanation:
This is a proportional relationship as the line passes through the origin.
Therefore you can use one point to determine the slope, (2, 4):
m = y/x = 4/2 = 2The slope is 2. It is a 2 laps per minute.
Correct answer choice is B
Slope
m=4-0/2-0m=4/2 m=2Rate is 2 laps every minute
BWhat is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.
The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
Given that,
The graphs of f(x) = 10x and its translation, g(x), are shown.
We have to determine,
What is the equation of g(x)?
According to the question,
The given graphs of two functions f(x) and g(x).
The function f(x) is an exponential function and is given by:
[tex]\rm f(x) = 10^x[/tex]
To find the equation for the transformed function g(x).
We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.
This means that the equation or the expression for the function g(x) is given by:
[tex]\rm g(x) = 10 ^{x-3}[/tex]
Substitute the value of x = 3 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]
Substitute the value of x = 4 in the function g(x),
[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]
Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].
For more details refer to the link given below.
https://brainly.com/question/13148696
Answer:
the answer is a g(x)= 10x^-3
Step-by-step explanation:
Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 3-3
A. 0
B.7
C.8
D.24
Answer:
this has to do with trial and error
since N=21÷3-3
so 21÷3-3=4
therefore N=4
substitute for N
2×4=8
8×3=24
therefore 24÷3=2×4
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
The product of its digits is 24.
It is greater than 1/2
The sum of its digits is a prime number.
Use the clues to find the mystery percent
Answer:
Step-by-step explanation:
Try .83
8 + 3 = 11
8*3 = 24
.84> 1/2
Which of the following is most likely the next step in the series?
write an equation for the line that gose through the points (-2,6) and (2, 12)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )
m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (2, 12 ) , then
12 = 3 + c ⇒ c = 12 - 3 = 9
y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line