Answer: 122 sq. in.
Step-by-step explanation:
P = 2 (l + w)
P = 2 (34.5 + 26.5)
P = 2 x 61
P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards
Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:
132 inches3.67 yard11 feetGiven that:
\(Length = 24in\\Width = 32in\)
The width of the frame is given as:
\(Frame =2.5in\)
So, the actual length and width of the framed picture is:
\(Length =24 + 2.5 + 2.5\)
\(Length =29in\)
\(Width = 32 + 2.5 + 2.5\)
\(Width = 37in\)
The outer perimeter (P) in inches is:
\(P= 2 \times (Length + Width)\)
So, we have:
\(P= 2 \times (29in + 37in)\)
\(P= 132in\)
The perimeter in yard, is as follows:
\(P= \frac{132}{36}yd\)
\(P = 3.67yd\)
The perimeter in feet is as follows:
\(P= \frac{132}{12}ft\)
\(P = 11ft\)
Hence, the outer perimeter of the frame is 132 inches
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WILL GIVE BRAINLIEST X THANKS !
REALLY URGENT
Write each subtraction equation as an addition equation.
a - 9 = 6
p - 20 = -30
z - (-12) = 15
x - (-7 = -10
The subtraction equations written as addition equations are
a + (-9) = 6
p + (-20) = -30
z + 12 = 15
x + 7 = -10
Writing an EquationFrom the question, we are to write each of the given subtraction equation as an addition equation
a - 9 = 6This equation written as an addition equation is
a + (-9) = 6
p - 20 = -30This equation written as an addition equation is
p + (-20) = -30
z - (-12) = 15This equation written as an addition equation is
z + 12 = 15
x - (-7) = - 10This equation written as an addition equation is
x + 7 = -10
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the big box (made up of 5 small boxes) on the ecg paper measures:
When we measure a ECG waveform the large boxes represents 0.2 seconds.
To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.
In most ECG papers, the standard calibration is as follows:
The horizontal distance (width) of a big box is typically 0.20 seconds.The vertical distance (height) of a big box is typically 0.5 millivolts (mV).
These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.
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Albert used 3/8 of a 1/2 gallon can of paint. What fraction of gallon did he use?
Answer:
Step-by-step explanation:
He used 3/8 of the gallon and 1/8 was left over.
Compute the first‑order partial derivatives of the function. z=e^−x^5−y^3 (use symbolic notation and fractions where needed.)
The first-order partial derivatives of the function \(z = e^{(-x^5 - y^3)}\) are:
∂z/∂x =\(-5x^4 e^{(-x^5 - y^3)}\)
∂z/∂y = \(-3y^{2} e^{(-x^5 - y^3)}\)
In the given function, \(z = e^{(-x^5 - y^3)}\). To find the first-order partial derivatives, we differentiate the function with respect to each variable while treating the other variable as a constant.
For the partial derivative with respect to x (∂z/∂x), we apply the chain rule. The derivative of the exponential function \(z = e^{(-x^5 - y^3)}\) is \(e^{(-x^5 - y^3)}\), and we multiply it by the derivative of the exponent \((-x^5 - y^3)\) with respect to x, which is\(-5x^4\).
Similarly, for the partial derivative with respect to y (∂z/∂y), we again apply the chain rule. The derivative of \(e^{(-x^5 - y^3)}\) is \(e^{(-x^5 - y^3)}\), and we multiply it by the derivative of the exponent \((-x^5 - y^3)\)with respect to y, which is\(-3y^2\).
These partial derivatives represent the rates of change of the function z with respect to x and y, respectively. They provide valuable information about the direction and magnitude of the function's change when the input variables x and y are varied.
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Evaluate the following iterated integral. √ty dt dy 40 √√ty √ty dt dy = 40 (Type an exact answer, using radicals as needed.)
The given iterated integral is ∫[0, 40] ∫[0, √ty] √ty dtdy. It is required to find its value. Let I be the given integral. Using Fubini's Theorem, we can interchange the order of integration.
Therefore, I = ∫[0, 40] ∫[0, √ty] √ty dtdy = ∫[0, 40] ∫[t²/1600, 1] √ty dydt Let J be the integral ∫[t²/1600, 1] √ty dy. As y goes from t²/1600 to 1, we have t/40 ≤ y^(1/4) ≤ 1. So, y ≤ (40/t)² and we can write∫[t²/1600, 1] √ty dy = 2ty^(3/4) / (3/4) |[t²/1600, 1] = 8/3 t^(7/4) / 1600 − 2t / 3.
The value of the given integral isI = ∫[0, 40] ∫[t²/1600, 1] √ty dydt= ∫[0, 40] (8/3 t^(7/4) / 1600 − 2t / 3) dt= 8/15 t^(11/4) / 1600 − t² / 3 |[0, 40]= 8/15 (40^(11/4)) / 1600 − (40²) / 3= (4/15)√10 − 1600/3. So, the value of the given iterated integral is (4/15)√10 − 1600/3. The given integral is ∫[0, 40] ∫[0, √ty] √ty dtdy.Using Fubini's Theorem, we can interchange the order of integration. Therefore,∫[0, 40] ∫[0, √ty] √ty dtdy= ∫[0, 40] ∫[t²/1600, 1] √ty dydt.
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The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000
The equation most closely models the line of best fit for the scatter plot is y = 2.5x
Equation of a lineA line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
m is the slopeb is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the slope
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
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Darnell began with $85 in his savings account. Each week he saves an additional $15. The expression 15w+85 represents how much Darnell has saved after w weeks. Missy saves the same amount as Darnell each week but began with $30 more in her account. If they opened their accounts at the same time, which expression represents the total amount saved by Darnell and Missy after w weeks?
Multiple choice question.
cross out
A)
15w+170
B)
15w+200
C)
30w+170
D)
30w+200
Answer:
D) 30w + 200
Step-by-step explanation:
Darnell started with $85 and saves $15 per week.
His amount is 15w + 85
Missy started with $85 + $30 = $115 and saves $15 per week.
Her amount is 15w + 115
The total saved by both is
15w + 85 + 15w + 115 =
= 30w + 200
en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?
Answer:
Spanish?
Step-by-step explanation:
I speak english
- 8 = -7+k
Step by step
Answer:
k=-1
Step-by-step explanation:
- 8 = -7+k
+7 +7
k=-1
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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Calculate the work (in joules) required to pump the water out of the full hemisphere tank from the spout on top of the tank. Distances are in meters and the density of water is 1000 kg/m^3
The work required to pump the water out of the full hemisphere tank is given by 1000 * V * 9.8 * r joules.
To calculate the work required to pump the water out of the full hemisphere tank, we need to determine the gravitational potential energy of the water being lifted. The work done is equal to the change in potential energy.
First, let's calculate the volume of the hemisphere tank. The volume of a hemisphere is given by the formula:
V = (2/3) * π * \(r^{3}\)
Where r is the radius of the hemisphere.
Next, we need to find the height from which the water is lifted. Since the tank is a full hemisphere, the height is equal to the radius of the hemisphere.
Once we have the volume and the height, we can calculate the mass of the water lifted using the density of water:
m = density * V
Finally, we can calculate the work done using the formula:
Work = m * g * h
Where g is the acceleration due to gravity (approximately 9.8 m/\(s^{2}\) ) and h is the height.
Let's assume the radius of the hemisphere tank is given as 'r'. Then we can calculate the work required as follows:
Step 1: Calculate the volume of the hemisphere tank
V = (2/3) * π * \(r^{3}\)
Step 2: Calculate the mass of water lifted
m = density * V
m = 1000 kg/\(m^{3}\) * V
Step 3: Calculate the work done
Work = m * g * h
Work = 1000 kg/\(m^{3}\) * V * 9.8 m/\(s^{2}\) * r
Therefore, the work required to pump the water out of the full hemisphere tank is given by 1000 * V * 9.8 * r joules.
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Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x³ − 5x² − 3x + 2; f( − 3) f(-3)= Question 9, 2.4.35 >
To find the value of f(-3) using synthetic division and the Remainder Theorem, we can substitute x = -3 into the given polynomial function f(x).
The polynomial function is:
f(x) = 3x³ - 5x² - 3x + 2
First, we'll set up the synthetic division to evaluate f(-3). Write the coefficients of the polynomial in descending order and set up the synthetic division as follows:
-3 | 3 -5 -3 2
------------------
Bring down the first coefficient (3) and perform the synthetic division:
-3 | 3 -5 -3 2
------------------
3
Multiply the divisor (-3) by the result (3) and write it below the next coefficient:
-3 | 3 -5 -3 2
------------------
3
----
Add the multiplied result (-5 + 3 = -2) to the next coefficient (-5):
-3 | 3 -5 -3 2
------------------
3
----
-2
Repeat the process by multiplying the divisor (-3) with the new result (-2):
-3 | 3 -5 -3 2
------------------
3 -2
----
Add the multiplied result (-3 + (-2) = -5) to the next coefficient (-3):
-3 | 3 -5 -3 2
------------------
3 -2 -5
----
Finally, multiply the divisor (-3) with the new result (-5) and add it to the last coefficient (2):
-3 | 3 -5 -3 2
------------------
3 -2 -5 17
----
The result of the synthetic division is 17. This represents the remainder when the polynomial is divided by (x + 3).
According to the Remainder Theorem, the remainder obtained by synthetic division when dividing a polynomial function f(x) by (x - c) is equal to f(c). In this case, since we divided f(x) by (x + 3), the remainder (17) is equal to f(-3).
Therefore, f(-3) = 17.
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Can someone please help me ASAP
Answer:
Step-by-step explanation:
AB = 5
AC = 6
BC = √(5² + 6²) = √61 ≈ 7.8 units
What is the slope of the line that contains the points R(-2,1) and S(10,6)? Express your answer as a fraction.
The slope of the line that contains the given points R(-2,1) and, S(10,6) is 5/12 .
It is given in the question that the line contains the points R(-2,1) and S(10,6).
We know that:-
The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-
m = (d-b)/(c-a)
Here, we have
m = slope of the line
(a,b) = (-2,1)
(c,d) = (10,6)
Hence, putting the values of (a,b) and (c,d) , we get
Slope of the line that contains the given points R(-2,1) and, S(10,6) is given by:-
(6-1)/(10-(-2)) = 5/12=
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A Set of Speakers costs $35 and Songs cost $195 each. The sales tax
rate is 8.25%. The expression 0.0825(35+ 195s) can be used to determine
the amount of sales tax due on the entire purchase of a set of Speakers
and S.Songs. Expand the expression and round to the nearest hundredth.
The amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that :
Cost of speaker = $35
Cost per song = $195
Sales tax rate = 8.25%
Expression to obtain the amount of sales tax on entire purchase : 0.0825(35+ 195s)
Using distributive law to expand the expression :
0.0825(35+ 195s)
= 2.8875+16s
Hence, the amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
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Please could you help me with this
Consider the exponential function with equation A = P(1+r)t
a. Name the independent and dependent variables.
b. What is the growth factor?
The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.
The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025
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Marcel invests $2500 for 3 years at a rate of 1.6% per year simple interest. Jacques invests $2000 for 3 years at a rate of x% per year compound interest. At the end of the 3 years Marcel and Jacques receive the same amount of interest. Calculate the value of x correct to 3 significant figures.
Carly used 15 centimeters of tape to wrap 3 presents. How many presents did Carly wrap if she used 45 centimeters of tape? Assume the relationship is directly proportional.
describe the value of 12x−4 when x=10
Answer:
Answer is 116
Step-by-step explanation:
12(10)-4 is 116
Answer:
=116
Step-by-step explanation:
12 x 10 = 120
120 - 4 = 116
asdhfj,..kjdsaDzfxhj,jhsaZ
Answer:
ku hgkjfghdehfv bfd
Step-by-step explanation:
Daily BER (kl/day) = 5.4 x 24 hours x body mass (kg) Mihir has a body mass of 65 kg. Calculate Mihir's daily basic energy requirement.
Mihir's daily basic energy requirement is 8424 (kl/day).
How to find BMI body mass index or BER from body mass?
As the formula to find daily BER is given below,
\(Daily\ BER\ = 5.4 \times 24 \times body\ mass\)
body mass = 65 kg
Therefore, put body mass, to find BER,
\(Daily\ BER\ = 5.4 \times 24 \times 65\\Daily\ BER\ = 8424\ (kl/day)\)
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Mihir's daily basic energy requirement is 7,776 kJ/day.
what is meaning of body mass?A person's BMI is calculated by dividing their weight in kilograms (or pounds) by their square of height in meters (or feet). A high BMI may indicate excessive body fat. BMI measures weight categories that could lead to health issues, but it does not assess a person's health or body fat percentage.
to calculate Mihir's daily basic energy requirement using the formula:
Daily BER (kl/day) = 5.4 x 24 hours x body mass (kg)
We can substitute the given values to get:
Daily BER (kl/day) = 5.4 x 24 hours x 65 kg
Daily BER (kl/day) = 7,776 kJ/day
Therefore, Mihir's daily basic energy requirement is 7,776 kJ/day.
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At the city museum, child admission is $5.30 and adult admission is $9.30. On Monday, 155 tickets were sold for a total sales of $1169.50. How many child tickets were sold that day?
Therefore, 68 child tickets were sold on Monday.
What is sales?Sales typically refer to the exchange of goods or services for money or other consideration, such as barter. It is the activity or process of selling products or services to customers. Sales can occur through various channels, such as in-person transactions, online transactions, phone orders, etc.
Let's assume that x represents the number of child tickets sold on Monday.
Then, the number of adult tickets sold can be represented as (155 - x), since the total number of tickets sold was 155.
The total revenue from child tickets can be represented as 5.30x, since the price of one child ticket is $5.30.
Similarly, the total revenue from adult tickets can be represented as 9.30(155 - x), since the price of one adult ticket is $9.30 and there were (155 - x) adult tickets sold.
The total sales revenue for the day was $1169.50, so we can write:
5.30x + 9.30(155 - x) = 1169.50
Expanding this equation gives:
5.30x + 1441.50 - 9.30x = 1169.50
Simplifying and solving for x, we get:
-4.00x = -272.00
x = 68
Therefore, 68 child tickets were sold on Monday.
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chap 104, sect 6. part 1 of 110 points Assume: A 78 g basketball is launched at an angle of 42.6
∘
and a distance of 18.8 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal's height. A basketball player tries to make a long jump-shot as described above. The acceleration of gravity is 9.8 m/s
2
. What speed must the player give the ball? Answer in units of m/s.
The player must give the ball a speed of approximately 8.68 m/s in order to make the long jump-shot.
To determine the speed required, we can analyze the projectile motion of the basketball. The vertical component of the motion is affected by gravity, while the horizontal component remains constant.
Since the ball is released at the same height as the basketball goal, we can consider the vertical displacement to be zero. Therefore, the equation for vertical motion becomes:
0 = v₀y * sin(θ) * t - (1/2) * g * t^2
Since the initial vertical velocity (v₀y) is zero, the equation simplifies to:
0 = -(1/2) * g * t^2
Solving this equation gives us the time it takes for the ball to reach the peak of its trajectory and fall back down, which is t = 0.
Next, we can consider the horizontal motion of the ball. The equation for horizontal motion is:
d = v₀x * cos(θ) * t
Given that the distance (d) is 18.8 m and the launch angle (θ) is 42.6 degrees, we can rearrange the equation to solve for the horizontal initial velocity (v₀x):
v₀x = d / (cos(θ) * t)
Substituting the values, we have:
v₀x = 18.8 / (cos(42.6°) * 0) = undefined
This implies that the initial horizontal velocity is zero, which means the ball does not possess any horizontal speed. However, this cannot be the case if the player intends to make the shot.
Therefore, the only way for the ball to reach the basketball goal is if it is given an initial horizontal speed. This requires the player to apply additional force or impart a horizontal velocity to the ball.
In conclusion, the player must give the ball an initial horizontal velocity to make the long jump-shot. The exact value of the required speed depends on various factors such as the desired trajectory, the player's skill, and any external forces present during the shot.
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Toothy the crocodile wants to eat a delicious chicken. His mouth is open to an angle of 30 degrees.
He needs to open his mouth to an angle of 55 degrees for the chicken to fit.
What is the measure of the additional angle Toothy's mouth needs to open so he can eat the chicken?
Answer: 25°
Step-by-step explanation:
From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.
The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:
= 55° - 30°
= 25°
Answer:
25
Step-by-step explanation:
did it on khan academy
If Mrs.Shaw draws a circle with circumference of 22 inches, what is the radius if her circle?
Answer:
3.5 in
Diameter would be 7.
Radius is 1/2 of diameter: 3.5 in.
Step-by-step explanation:
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=22 \end{cases}\implies 22=2\pi r\implies \cfrac{22}{2\pi }=r\implies 3.50\approx r\)
Create a list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode.
A list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode is
0, 1, 5, 7, 8, and 9How to create the listsince the numbers will have no mode so they are all different
Assuming the numbers are: a, b. c. d. e. and f
The average is 5
(a + b + c + d + e + f ) / 6 = 5
a + b + c + d + e + f = 30
The median is 6
(c + d)/2 = 6
c + d = 12 (assume c = 5 and d = 7)
range is 9
f - a = 9, since it is a one digit number a range of 9 is possible for 9 - 0
hence a = 0 and f = 9
substituting assumed values to the average
0 + b + 5 + 7 + e + 9 = 30
b + e + 21 = 30
b + e = 9 (let b = 8and e = 1)
hence the numbers are
0, 1, 5, 7, 8, and 9
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Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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you have six slices of bread, three tomato slices, and two cheese slices. how many tomato-cheese sandwiches can you make? which ingredient(s) limit the number of sandwiches you can make?
You can make a maximum of two tomato-cheese sandwiches. because you can only make as many tomato-cheese sandwiches as the number of cheese slices you have
To make a tomato-cheese sandwich, you need one tomato slice and one cheese slice. Since you have three tomato slices and two cheese slices, you are limited by the availability of cheese slices.
Therefore, you can only make as many tomato-cheese sandwiches as the number of cheese slices you have, which in this case is two.
The ingredient that limits the number of sandwiches you can make is the cheese slice. You have more tomato slices than cheese slices, so you cannot make more than two tomato-cheese sandwiches.
Even if you have extra tomato slices, you cannot make additional sandwiches because you do not have enough cheese slices to pair with them.
In summary, the number of tomato-cheese sandwiches you can make is determined by the ingredient with the lowest quantity,
which in this case is the cheese slice. Therefore, you can make a maximum of two tomato-cheese sandwiches.
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