The correct option is A which is Yixing should clean out the kennels, and Olivia should move the food bags.
What is an expression?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.
All the parts will be solved below:-
a. Olivia has an absolute advantage as she takes less time for completing both the tasks
b. Olivia's opportunity cost of cleaning a kennel is
= 6 ÷ 6
= 1 bag of food moved.
c. Olivia's opportunity cost of moving one bag of food is
= 6 ÷ 6
= 1 kennel cleaned
d. Yixing's opportunity cost of cleaning a kennel is
= 10 ÷ 12
= 0.83 bags of food moved.
e. Yixing's opportunity cost of moving one bag of food is
= 12 ÷ 10
= 1.2 kennels cleaned
f. From the above calculations, we can see that the opportunity cost of kennel cleaning would be less sin Yixing so here Yixing should have a comparative advantage and Olivia should have moved the food bags
The complete question is given below:-
Olivia and Yixing are volunteering at a cat rescue shelter. The shelter supervisor asks them to clean out kennels and haul bags of cat food from the donation area into storage. It takes Olivia 6 minutes to clean out a kennel and 6 minutes to move a bag of food. It takes Yixing 10 minutes to clean out a kennel and 12 minutes to move a bag of food.
A. ____has an absolute advantage in completing both tasks.
B. Olivia's opportunity cost of cleaning a kennel:___bags of food moved.
C. Olivia's opportunity cost of moving one bag of food:_____kennels cleaned.
D. Yixing's opportunity cost of cleaning a kennel:____bags of food moved.
E. Yixing's opportunity cost of moving one bag of food:____kennels cleaned.
F. Yixing says it does not matter which task each of them performs because Olivia is faster at both tasks. Is she correct?
A) No, Yixing should clean out the kennels, and Olivia should move the food bags.
B) No, Olivia should clean out the kennels, and Yixing should move the food bags.
C) Yes, Olivia should do both tasks because she is faster at both.
D) No, Yixing should do both tasks so that she can practice and become more efficient.
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y² – 12y +?
can someone help me?
Answer:
+ 36
Step-by-step explanation:
assuming you require to make the terms into a perfect square.
using the method of completing the square
add ( half the coefficient of the y- term )² to y² - 12y
y² + 2(- 6)y + (- 6)²
= y² - 12y + 36
= (y - 6)² ← a perfect square
Jai drove 225 miles in 5 hours. On average, how fast did he drive, in miles per hour?
Whats the answer to this question?
Answer:
option A
Step-by-step explanation:
calculate how many acres are in the southwestern 1/4 of the northern 1/2 of the eastern 1/2 of section 14.
Section 14 makes about 40 Acres.
640 acres make up a square mile.
Given are the southwest quarter, the northern half, and the eastern half.
Consider that 2x2x4=16.
640 divided by 16 equals 40 acres.
40 acres make up Section 14.
How do you estimate the value per acre?
At first appearance, the calculation for calculating price per acre (PPA) appears to be rather straightforward.It is calculated by dividing the value of your property (v) by the number of acres (a). Therefore, v / a = PPA. As an acre is already regarded as a squared number, you don't need to worry about squaring the measurement.
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Gordon invests $2,500 for 20 months at a simple interest rate of 12.4%. the amount of interest received is found by i=prt since r= 0.124. i=0.124 x p x t. what are p and t?
The p and t represent Principal and time and interest is 517.7
We are given the formula to find the interest. So, the formula is -
I = (PRT) ÷ 100
In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.
Keep the values in formula to calculate the interest -
As per the known fact, 12 months = 1 year
So, 20 months = (1 ÷ 12) × 20
20 months = 1.67 years
Interest = (2500 × 12.4 × 1.67) ÷ 100
Performing multiplication in numerator
Interest = 51,770 ÷ 100
Performing division to find the interest
Interest = 517.7
Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.
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3 pens cost £2.25
5 folders cost £5.80
Chris wants to buy 30 pens and 30 folders.
He only has £60
Does Chris have enough money to buy 30 pens and 30 folders?
You must show how you get your answer.
Yes, Chris has enough money to buy 30 pens and 30 folders.
What is money?Money is a commodity that is widely accepted as a medium of economic exchange. It is the primary means of expressing prices and values; as currency, it circulates anonymously from person to person and country to country, facilitating trade; and it is the primary measure of wealth.Given:
3 pens cost £2.25.5 folders cost £5.80.Chris wants to buy 30 pens and 30 folders.He only has £60.So, the cost of 30 pens will be:
When: 3 pens = £2.25Then: 3×10 = £2.25×1030 pens = £22.5Similarly, the cost of 30 folders will be:
When: 5 folders cost £5.80Then: 5×6 = £5.80×630 folders = £34.8Cost of 30 pens and 30 folders = £22.5 + £34.8 = £57.3
Given that Chris has £60.Therefore, yes Chris has enough money to buy 30 pens and 30 folders.
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Find the value (2x + 9) (7x + 24)
Based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.
What is the Corresponding Angles Theorem?The corresponding angles that are formed when two parallel lines are intersected by a transversal are congruent, according to the corresponding angles theorem.
Given that lines m and n are parallel lines that are intersected by transversal t, therefore:
2x + 9 = 7x + 24
Solve for x
2x + 9 - 9 = 7x + 24 - 9 [subtraction property of equality]
2x = 7x + 15
2x - 7x = 7x + 15 - 7x [subtraction property of equality]
-5x = 15
-5x/-5 = 15/-5 [division property of equality]
x = -3
Therefore, based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.
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2x+4=3x-2 solve for x
Answer:
x = 6
Step-by-step explanation:
2x + 4 = 3x - 2
2x - 3x = -2 - 4
-x = -6
x = 6
Answer:
x = 6
Step-by-step explanation:
We are given this equation:
2x + 4 = 3x - 2
And we want to evaluate the equation for x.
To do this, we need to isolate the variable (x) on one side of the equation.
We can start by putting the numbers on one side.
We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.
2x + 4 = 3x - 2
-4 -4
___________________
2x = 3x - 6
Now, let's put the variables on the other side.
Subtract 3x from both sides.
2x = 3x - 6
-3x -3x
______________
-x = -6
Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.
-x is the same as -1x, or -1 * x.
So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.
Let's multiply both sides by -1.
-1(-x) = -1(-6)
x = 6
The value of x is 6.
How do I solve this
How many solutions does the equation have? 4h + 2 = 3h - 7
Answer:
1 solution
Step-by-step explanation:
4h + 2 = 3h - 7
Subtract 3h from both sides:
(4h + 2) - 3h = (3h - 7) - 3h
h + 2 = -7
Then, subtract 2 from both sides to isolate h:
(h + 2) - 2 = (-7) - 2
h = -9
There is one solution, -9.
-2x + 14y = -29
x - 7y = 19
elimination process
Answer:
No solution
Step-by-step explanation:
Let's solve your system by elimination.
−2x+14y=−29;x−7y=19
Multiply the second equation by 2, then add the equations together.
(−2x+14y=−29)
2(x−7y=19)
Becomes:
−2x+14y=−29
2x−14y=38
Add these equations to eliminate x:
0=9
What is the greatest common factor of 56,72,100
Answer:
4
Step-by-step explanation:
56/4=14
72/4=18
100/4=25
4 has to be the biggest common factor.
A student measured the mass of a rock as 20 g. But the actual mass of the rock is 30 g. What was the student's percent deviation?
Answer:
33.3%
Step-by-step explanation:
%error =error/actual value*100
=30-20/30*100
=10/30*100
=33.3%
Haley has a monthly fee of $20
The domain and range of the function C(m) the equation for is mathematically given as
Dc=[0,\infty)
This is further explained below.
What are the domain and range of the function C(m)?Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.
In this question:
C(m)=0.05m+20
The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So
The domain is Dc=[0,\infty)
The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:
The range is: Rc=[20,\infty)
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CQ
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
help me please i do not understand
Answer: 124.3%
Step-by-step explanation:
318.2/256=1.24296875
1.24296875*100=124.296875
124.296875=124.3%
Since 318.2 is greater than 256, the percent is going to be greater than 100, because the number 318.2 is more than 100 of 256 which basically translates to 318.2 being greater than 256.
5.
.A rancher divided his land into square sections. One large section has an area of 112 square
miles. To the nearest tenth of a mile, what is the length of one side of this tract of land?
To the nearest tenth of a mile, the length of one side of this tract of land is 0.64 miles
This problem can be solved by using the concept of scale factor. Scale factor is useful in finding proportional measurements.
Proportion implies having the same ratio.
Scale factor can be defined as the ratio of the measurement of the model to the measurement of the actual form in the simplest form. In other words, the ratio of any two corresponding lengths in two similar geometric figures is called a scale factor.
If the scale factor is more than 1, that is, scale factor > 1,
then it is an enlargement,
If the scale factor is less than 1, that is, scale factor < 1,
then it is a reduction.
A rancher divided his land into square sections.
To the nearest tenth of a mile, the length of one side of this tract of land = 0.64 miles
Therefore, we get the length of one side of this tract of land as 0.64 miles.
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what is -7/8-(3/5) in the simplest form
The integer in simplest form in -59/40.
It is required to find the scientific notation.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
-7/8-(3/5)
We have to find the integer in simplest form.
According to given question we have
-7/8-(3/5)
=-7/8-3/5
Taking LCM of 8 and 5 we get,
LCM(8,5)=40
=-35-24/40
=-59/40
Therefore, the integer in simplest form in -59/40.
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A model of an aircraft is 3/5 the length of the original plane. The model is 24.96 feet long. How long is the original plane?
If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
It is given in the question that the model of an aircraft is 3/5th the length of the original plane.
So, Let the length of the original plane be x feet.
According to the question
3/5th of x is 24.96
[tex]x\times\frac{3}{5} =24.96[/tex]
Multiplying both sides by 5
3x=24.96*5
3x=124.8
Dividing both sides by 3
x=124.8/3
x=41.6
Hence , the value of x is 41.6 feet.
Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
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A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
The absolute value inequality is
.
The acceptable range of heights of a guardrail are
cm to
cm.
A guardrail's acceptable height range is 99cm to 113cm and the definite absolute value inequality is as follows | h - 106cm | ≤ 7cm,
How to define an inequality? A statement stating that one quantity is less than or (greater than) another.An inequality solution is a number that, when replaced for the variable, makes the inequality true.We understand that the height must be 106cm with a maximum absolute deviation of 7cm.
As a result, the maximum height is:
106cm plus 7cm = 113cm
The bare minimum is:
99cm = 106cm -7cm
This is represented by the absolute value equation:
| h - 106cm | ≤ 7cm
In which h is the guardrail's height.
A guardrail's acceptable height range is 99cm to 113cm.
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Given the system of equations:
6x + 2y = −6
3x − 4y = −18
Solve for (x, y) using elimination.
(0, −3)
(−1, 0)
(−2, 3)
(−14, −6)
Answer:
(- 2, 3 )
Step-by-step explanation:
6x + 2y = - 6 → (1)
3x - 4y = - 18 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x + 4y = - 12 → (3)
add (2) and (3( term by term to eliminate y
15x + 0 = - 30
15x = - 30 ( divide both sides by 15 )
x = - 2
substitute x = - 2 into either of the 2 equations and solve for y
substituting into (1)
6(- 2) + 2y = - 6
- 12 + 2y = - 6 ( add 12 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
solution is (- 2, 3 )
Answer:
(-2, 3)
Step-by-step explanation:
Solve for y.
1+ 2y = 11.08 +0.2y
Answer:
y=5.6
Step-by-step explanation:
1 + 2y = 11.08 +0.2y
Move the values w/ y all to one side and the ones without to the other side
1+ 2y = 11.08 + 0.2y
-0.2y - 0.2y
-1 -1
1.8y=10.08
Divide by 1.8
y=5.6
The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
lundefined
The slope of the line is zero.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope or gradient. In the coordinate plane, it represents the slope of the line.
In the general equation of a line y= mx + c , m denotes the slope of the line.Slope of a line is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] If a straight line makes an angle θ with the positive x-axis then the slope of the line is given by m = tanθFrom the given figure we can see that the line is parallel to the x-axis.
Any line parallel to the x-axis is given by the general equation y = a .
This equation can also be written as:
y = 0 x + a.
Comparing the above equation with the general equation of a straight line y = mx + c
we see m = 0 and c = a (a is a constant)
Hence the slope of the line is 0.
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p(z) = 3r+4
q(z) = 2z²
Find p (q(z))
The value of the function p (q(z)) is 6z² +4 .
By considering the given functions
p(z) = 3r+4
q(z) = 2z²
p (q(z))= p( 2z²)
p (q(z))= 3(2z²)+4
p (q(z))= 6z² +4
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
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f+an=g Solve for 'a'.
Answer:
a= [tex]\frac{g-f}{n}[/tex]
Step-by-step explanation:
First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.
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Kristin parked in a different parking garage that charges 5.75 per hour she was charges 34.50 for parking. how many hours did she park her car at the garage
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All of them would accurately represent how many flowers of each type she used
Pls help, Idc if you answer 1 I have j and k done already It is just the rest.
Answer:
L: (4,0) and L': (2,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
I messed up on P'
I drew it as -3,3 but it should be -3,2
Which is what i wrote it as
a) Which of shapes A, B, C and D is congruent to shape E?
E
A
B
с
b) Which other two shapes (from A, B, C and D) are congruent to each other?
Answer:
A) E
B) Shape A and E
(i think)
If Naomi were to paint her living room alone, it would take 7 hours. Her sister Colleen could do the job in 8 hours. How many hours would it take them working
together? Express your answer as a fraction reduced to lowest terms, if needed.
Answer:28/11
Step-by-step explanation:
1/4 hours for naomi
1/7 hours for collen
1/4+1/7=4+7 7x4=11/28
Determine midpoint of two points using Midpoint Formula
(2,7) and (6, 13).
Answer:
Midpoint are 4,10
Step-by-step explanation:
x midpoint - 4
y midpoint - 10
midpoint formula (x1 + x2)/2 , (y1 + y2)/2
(2+8)/2, (7+13)/2
4,10
Full Explanation
[tex] M = (x_M, \; y_M) [/tex]
[tex] M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) [/tex]
[tex] M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)[/tex]
[tex] M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)[/tex]
[tex] M = (4, \; 10)[/tex]