aracely and jonah went to breakfast and ordered chicken and waffles aracely ordered 1 waffle and 2 pieces of chick and paid $8.50 joah order 2 waffles and 1 piece of chicken and paid $7.25 how much is each waffle and each piece of chicken
Answers
Each waffle costs $2.00 and each piece of chicken costs $3.25.
Let's assume the cost of each waffle is 'w' dollars and the cost of each piece of chicken is 'c' dollars.
According to the given information, Aracely ordered 1 waffle and 2 pieces of chicken, paying $8.50. This can be represented as the equation:
1w + 2c = 8.50 ... (Equation 1)
Similarly, Jonah ordered 2 waffles and 1 piece of chicken, paying $7.25. This can be represented as the equation:
2w + 1c = 7.25 ... (Equation 2)
We now have a system of two equations with two variables. We can solve this system using various methods, such as substitution or elimination.
Let's solve this system using the elimination method:
Multiply Equation 1 by 2 and Equation 2 by 1 to make the coefficients of 'w' in both equations the same:
2(1w + 2c) = 2(8.50)
1(2w + 1c) = 1(7.25)
Simplifying these equations, we get:
2w + 4c = 17.00 ... (Equation 3)
2w + 1c = 7.25 ... (Equation 4)
Now, subtract Equation 4 from Equation 3 to eliminate 'w':
(2w + 4c) - (2w + 1c) = 17.00 - 7.25
Simplifying this equation, we get:
3c = 9.75
Divide both sides of the equation by 3:
c = 3.25
Now, substitute the value of 'c' into Equation 2 to find the value of 'w':
2w + 1(3.25) = 7.25
2w + 3.25 = 7.25
Subtract 3.25 from both sides of the equation:
2w = 7.25 - 3.25
2w = 4.00
Divide both sides of the equation by 2:
w = 2.00
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Related Questions
What is the absolute deviation at 2?.
Answers
It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.
What is median?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.
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Jaon went hopping
He bought a watch and a pair of trainer for a total price of £53. 55
Thi price include a 15% loyalty dicount
Before the dicount, the trainer were priced at £38
Work out the price of the watch before the dicount
Answers
The price of the watch before the discount is calculated to be £24.44.
As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;
discount on a pair of trainers = 15/100 × 38 = £5.7
cost of trainers after discount = £38 - 5.7 = £32.3
Now the price of the watch after the discount can be calculated by subtraction as follows;
price of watch after discount = total price - price of trainers after discount
price of watch after discount = £53. 55 - £32.3
price of watch after discount = £21.25
Now the price of the watch before the discount can be calculated as follows;
price of watch before discount = £21.25 × 15/100
price of watch before discount = £21.25 + £3.1875
price of watch before discount = £24.44
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a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
Answers
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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WHATS 9+10
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Answers
Answer:
19
Step-by-step explanation:
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21
Answer:
Step-by-step explanation:
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a heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 110 ft high. how much work is done in pulling the rope to the top of the building? calculus
Answers
The work done in pulling the rope to the top of the building is 88,550 joules.
To calculate the work done in pulling the rope to the top of the building, we need to find the gravitational potential energy of the rope when it is at the bottom and at the top of the building.
At the bottom of the building, the rope has a length of 50 ft and a weight of 0.5 lb/ft, so its total weight is:
W1 = (50 ft) x (0.5 lb/ft) = 25 lb
The gravitational potential energy of the rope at the bottom of the building is:
U1 = mgh = (25 lb) x (32.2 ft/s^2) x (0 ft) = 0 J
where m is the mass of the rope, g is the acceleration due to gravity, and h is the height of the rope above the ground.
At the top of the building, the rope has a length of 50 ft but is now lifted 110 ft above the ground, so its total weight is:
W2 = (50 ft) x (0.5 lb/ft) = 25 lb
The gravitational potential energy of the rope at the top of the building is:
U2 = mgh = (25 lb) x (32.2 ft/s^2) x (110 ft) = 88,550 J
The work done in pulling the rope to the top of the building is equal to the change in gravitational potential energy of the rope and is given by:
W = U2 - U1 = 88,550 J - 0 J = 88,550 J
Therefore, the work done in pulling the rope to the top of the building is 88,550 joules.
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Find the area. Round your answer to the
nearest tenth.
1.
3.
3 m
18 in.
2.
4.
25 ft
(Just the two bottom ones)
Answers
a) The area of the first circle is approximately 254.34 square inches
b) The area of the second circle is approximately 70650 square inches.
a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:
r = 18/2 = 9 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 9² = 254.34 square inches
Therefore, the area of the first circle is approximately 254.34 square inches.
b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:
25 feet = 25 x 12 inches = 300 inches
Then we can find the radius by dividing by 2:
r = 300/2 = 150 inches
Now we can calculate the area using the formula:
A = πr² = 3.14 x 150² = 70650 square inches
Therefore, the area of the second circle is approximately 70650 square inches.
Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.
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394.6 divided by 2 plssss help
Answers
Answer: 197.3 ok bye
Step-by-step explanation:
Answer:
197.3
Step-by-step explanation:
multiple 2y(6y2+4y-3)
Answers
Answer:
Step-by-step explanation:
Y- intercepts (-3 = 2 3, 0) , (-3 - 2 3, 0)
If the circumference of each tire on a vehicle is approximately 88, how many miles will the vehicle travel when the tires make 35,000 revolutions?Please help me. This is an extra reference question.
Answers
Given:
The circumference of each tire on a vehicle is approximately 88.
The circumference of the tire means the distance traveled by vehicle in one revolution.
And the tire makes 35000 revolutions.
So, the distance travel is,
\(\begin{gathered} d=88\text{ }\times35000 \\ d=3080000\text{ } \end{gathered}\)Answer: 3080000 units.
Please help I do not understand
Answers
Answer:
-3/7
Step-by-step explanation:
Hi,
First of all, we know that the slope is not undefine because both the x-coordinates are not the same.
To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.
what is the order of 7x10^5, 5x10^-2, 2x10^5, 3x10^-4 from least to greatest?
Answers
Answer: 5x10^-2, 3x10^-4, 2x10^5, 7x10^5.
Step-by-step explanation: To order the numbers 7x10^5, 5x10^-2, 2x10^5, 3x10^-4 from least to greatest, you need to compare the values of the numbers.
The first step is to compare the base numbers (the numbers before the "x10" part):
7 is greater than 5, which is greater than 2, which is greater than 3.
The second step is to compare the exponent values (the numbers after the "x10" part):
5 is greater than -2, which is greater than 5, which is greater than -4.
Based on these comparisons, the order of the numbers from least to greatest is:
5x10^-2, 3x10^-4, 2x10^5, 7x10^5.
1/4 :10=x:4
whats the value of x?
pls hurry i have 8 minutes
Answers
Step-by-step explanation:
what do the : mean ??? are you sure
Answer:
x=1/10
Step-by-step explanation:
1/4÷10=x/4
10x=4*1/4
10x=1
x=1/10
Solve the system by graphing.
y = 3
-x + 2y = 12
Answers
Answer:
Here, I attached a graph of the two equations! :)
The solution is (-6, 3)
Hope this helps!! :)
the length of a rectangle is 3cm less than its width. The perimeter is 54 cm. What are the dimensions of the rectangle
Answers
Answer:
The dimensions of the rectangle:
length: 12cm
width: 15 cm
Step-by-step explanation:
The perimeter of a rectangle is:
perimeter = 2(length+width)
54 = 2(a+b)
a = b - 3
a = legth
b = width
then:
54 = 2((b-3)+b)
54/2 = b-3 + b
27 = 2b - 3
27 + 3 = 2b
30 = 2b
b = 30/2
b = 15
a = b-3
a = 15 - 3
a = 12
Check:
54 = 2(15+12)
54 = 2*27
If the null space of a 7 times 9 matrix is 3-dimensional, find Rank A, DIm Row A, and Dim Col A. Rank A = 4, Dim Row A = 4, DIm Col A = 4 Rank A = 6, Dim Row A = 3, Dim Col A = 3 Rank A = 6, Dim Row A = 6, Dim Col A = 6 Rank A = 6, Dim Row A = 6, Dim Col A = 3
Answers
Dim Row A = 6 and Dim Col A = 6.
If the null space of a 7x9 matrix is 3-dimensional, then by the rank-nullity theorem, the rank of the matrix is:
Rank A = number of columns - dimension of null space
= 9 - 3
= 6
Therefore, Rank A = 6.
Since the rank of A is 6, the dimension of the row space of A is also 6 (because the row space is the orthogonal complement of the null space, and the sum of their dimensions equals the number of columns).
However, the number of rows of A is 7, so the row space cannot span all of R^7. Therefore, the row space of A has dimension less than or equal to 6.
Since the dimension of the row space of A is less than or equal to 6, and the rank of A is 6, it follows that the dimension of the column space of A (which is equal to the rank of A) is also 6.
Therefore, Dim Row A = 6 and Dim Col A = 6.
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The sides of the rectangle change according to ({dz})/({dt})= 1 , ({dx})/({dt}) = (3{dy})/({dt}) . What is (dx)/(dt) at the instant when x=4 and y=3? [Hint: z^(2)]=[x^(2)+y^(2) ]
Answers
At the instant when x=4 and y=3, (dx/dt) ≈ 0.143. We are given the rates of change of z and x with respect to t, and a relationship between x and y, but we are not given the rate of change of y with respect to t.
However, we can use the relationship between x, y, and z to find an expression for (dy)/(dt).
From the hint, we have:
z^2 = x^2 + y^2
Differentiating both sides with respect to t, we get:
2z(dz/dt) = 2x(dx/dt) + 2y(dy/dt)
Simplifying and dividing by 2, we get:
z(dz/dt) = x(dx/dt) + y(dy/dt)
Substituting the given values of (dz)/(dt) and (dx)/(dt), we have:
z = sqrt(x^2 + y^2)
(dz/dt) = 1
(dx/dt) = (3(dy/dt))/t
At the instant when x=4 and y=3, we have:
z = sqrt(4^2 + 3^2) = 5
(dx/dt) = (3(dy/dt))/t
To find (dy/dt), we substitute into the expression we derived earlier:
z(dz/dt) = x(dx/dt) + y(dy/dt)
5(1) = 4(3(dy/dt))/t + 3(dy/dt)
5 = (12/t + 3)(dy/dt)
(dy/dt) = 5/(12/t + 3) = 5t/(12t + 36) = (5/12)(t/(t + 3))
Substituting this into the expression for (dx/dt), we get:
(dx/dt) = (3(dy/dt))/t = (3/12)(t/(t + 3)) = (1/4)(t/(t + 3))
At the instant when x=4 and y=3, we have:
(dx/dt) = (1/4)(4/(4 + 3)) = 1/7
Therefore, at the instant when x=4 and y=3, (dx/dt) ≈ 0.143.
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Need help asap I was gone for most of the unit and need some help asap
Answers
Answer: I don't have the answers but I have some things that might help.
Step-by-step explanation:
1) for all the problems, think of what is being asked for (write as x), then take all the info you have and try to plug everything in.
2) if 1) doesn't work, go find your teacher?
Please respond quick!!!
Answers
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 160 times, with replacement, predict the number of times the ball would be the color green.
Answers
Can anyone help me how to do this?
Answers
105 + 135 + 92 + 87 = 419
540 - 419 = 121
The angle is 121
Choose the equations that are equivalent. Select all that apply. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48
Answers
A. 52 = 8n + 4, B. 4(2n + 1) = 52 and C. 4 = 52 – 8n are the equivalent equations.
Choosing the equations that are equivalentSimplifying the equations, we have
A. 52 = 8n + 4
8n = 48
n = 6
To see this, first simplify equation B:
4(2n + 1) = 52
8n + 4 = 52
8n = 48
n = 6
C. 4 = 52 – 8n
8n = 48
n = 6
Then simplify equation D:
4n = 48
n = 12
As you can see, equations A, B and C are equivalent and both simplify to n = 6.
Therefore, the correct answers are A, B and C.
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Can you I dentify the following number. Choose all that apply?
Answers
The number given is
\(5\sqrt[]{2}\)It is a real number , irrational number and integer.
The correct options are
Irrational number
Integer
Real number.
A hiker at a state park climbs to a ridge 1,220 feet higher than where she left the car. Then she hikes 670 feet down a steep cliff. How many feet above the car is the hiker now? The hiker is feet above the car now.
Answers
Answer:
549 ft
Step-by-step explanation:
take 670ft away from 1,220 ft ( not all the way sure of I'm right)
Answer:
550
Step-by-step explanation:
1,220+(-670)= 550
Thank you! :)
What is the value of StartFraction negative 8 (17 minus 12) over Negative 2 (8 minus (negative 2)) EndFraction?
–4
–2
2
4
Answers
Answer:
2
Step-by-step explanation:
\(\frac{-8(17-12)}{-2(8-(-2))} \\=\frac{-8(5)}{-2(8+2)} \\=\frac{-40}{-2(10)} \\=\frac{-40}{-20} \\=2\)
Answer: (C)
Step-by-step explanation: i got it right on egde 2022
Which decimals are equivalent to (5 x 10) + (2x
? Select all that apply.
100
A. 50.020
B. 50.002
C. 5.02
D. 50.20
on E. 50.02
Answers
How to convert 38 cm to inches?
Answers
Answer:14.9606
Step-by-step explanation:
38 cm = 14.9606 inches
How much is one centimeter in inches?
One inch is equivalent to 2.54 centimeters, and one centimeter is equal to 0.393701 inches, according to the conversion between the two units.
Exactly how big is one inch?
A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.
What is a inch ?
The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′).
What is a centimeter ?
The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI)
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You are tasked with sorting the rods. What does RB likely stand for?
A. Rejected Bins
B. Requisite Bins
C. Red Bins
D. Rolling Bins
E. Rod Bins
A Report Content Errors
Answers
Answer:
rod bins
Step-by-step explanation:
because you dealing with rods and you need aplace to put them that is the b bins
Answer:
rod bins
Step-by-step explanation:
identify the y intercep for each table
Answers
Answer:
what are the tables?
Step-by-step explanation:
show us the tables
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
Answers
First you will get 4dz
true or false: if this model suffers from heteroskedasticity, then the usual ols t statistics no longer have a t distribution and the f statistics no longer have an f distribution.
Answers
The statement ' if this model suffers from heteroskedasticity, then the usual OLS t statistics no longer have a t distribution and the f statistics no longer have an f distribution' is true because a model suffering from heteroskedasticity will not be accurate.
If a model suffers from heteroskedasticity, which is the condition where the variance of the errors is not constant across observations, then the usual OLS t statistics and F statistics no longer have t or F distributions, respectively. In other words, the standard errors of the coefficients and the overall fit of the model cannot be accurately estimated using the usual assumptions of OLS regression.
Specifically, when heteroskedasticity exists, the OLS estimator remains unbiased, consistent, and asymptotically normal, but its estimated standard errors are biased and inconsistent, leading to invalid inference. This means that t-tests for individual coefficients and F-tests for overall model significance based on these standard errors may be unreliable.
Instead, alternative methods such as robust standard errors or weighted least squares should be used to correct for heteroskedasticity.
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