According to Dan's trail mix recipe, 3 cups of dried fruit should be used for every 4 1/2 (four and a half) cups of chocolate.
At this rate, how many cups of fruit should be used if 6 cups of chocolate are used?
Answers
Answer:
4 cups of dried fruit.
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
According to Dan’s trail mix recipe, the ratio of dried fruit to chocolate is 3:4.5. This can be simplified to 2:3 by dividing both sides by 1.5.
3 ÷ 1.5 = 24.5 ÷ 1.5 = 3This means that for every 3 cups of chocolate, 2 cups of dried fruit should be used.
If 6 cups of chocolate are used, which is twice the amount in the ratio, then twice the amount of dried fruit should be used as well.
2 × 2 = 43 × 2 = 6Therefore, 4 cups of dried fruit should be used if 6 cups of chocolate are used.
Related Questions
schedules the processor in the order in which they are requested. question 25 options: first-come, first-served scheduling round robin scheduling last in first scheduling shortest job first scheduling
Answers
Scheduling the processor in the order in which they are requested is "first-come, first-served scheduling."
The scheduling algorithm that schedules the processor in the order in which they are requested is known as First-Come, First-Served (FCFS) scheduling. In FCFS scheduling, the processes are executed based on the order in which they arrive in the ready queue. The first process that arrives is the first one to be executed, and subsequent processes are executed in the order of their arrival.
FCFS scheduling is simple and easy to understand, as it follows a straightforward approach of serving processes based on their arrival time. However, it has some drawbacks. One major drawback is that it doesn't consider the burst time or execution time of processes. If a long process arrives first, it can block the execution of subsequent shorter processes, leading to increased waiting time for those processes.
Another disadvantage of FCFS scheduling is that it may result in poor average turnaround time, especially if there are large variations in the execution times of different processes. If a long process arrives first, it can cause other shorter processes to wait for an extended period, increasing their turnaround time.
Overall, FCFS scheduling is a simple and fair scheduling algorithm that serves processes in the order of their arrival. However, it may not be the most efficient in terms of turnaround time and resource utilization, especially when there is a mix of short and long processes. Other scheduling algorithms like Round Robin, Last In First Scheduling, or Shortest Job First can provide better performance depending on the specific requirements and characteristics of the processes.
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Which statements are correct? Check all that apply. One-halfQP = UT One-halfTS = RQ SU = PR SU âÂÄ„ RP UT ⊥ RP.
Answers
Only option 1 and 4 are true.
Points S, U, and T are the midpoints of the sides of ΔPQR.
ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR.
Which statements are correct? Check all that apply.
1. QP = UT
2. One-halfTS = RQ
3. SU = PR
4. SU ∥ RP
5. UT ⊥ RP
Given to us,
S, U, and T are the midpoints of the sides of ΔPQR.
Using Triangle Midpoint Theorem, which states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Therefore, only option 1 and 4 are true.
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What u have to do: rename ads fractions with common denominators and compare by using < or >
Problem: 5/8 ⬜️ 3/4
Answers
Answer:
<
Step-by-step explanation:
First, let's find common denominators:
Multiply 3/4 by 2.
Product is 6/8.
Next, let's compare both fractions:
5/8 ? 6/8
5/8 is less than 6/8.
Therefore 5/8 < 6/8.
PLS HURRY
When completing an online shopping transaction, a typical shopper takes 6 seconds to select each product and another 22 seconds to complete the check-out process. If it takes 34 seconds to complete a transaction, how many products are being
purchased?
Answers
Answer:
2 products.
Step-by-step explanation:
helppppp............
Answers
Answer:
V=lwh
4x6x3
v=72
Answer:
72 cm
Step-by-step explanation:
for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm
1. a certain tennis racquet at bob’s tennis racquet emporium costs $180.00 with a sales tax of 7%. what is the total cost of the racquet?2. tennis pro, a store across the street, offers a before-tax price of 10% less than bob’s store for a similar racquet. what will the price tag be on the similar racquet at tennis pro?
Answers
Total cost of racquet at Bob's Tennis Racquet Emporium is $192.60 with a 7% sales tax on the original price of $180.00. The price tag on a similar racquet at Tennis Pro, which offers a 10% discount, is $162.00 before tax.
To calculate the total cost of the tennis racquet at Bob's Tennis Racquet Emporium, we need to add the sales tax to the original price.
Sales tax = 7% of $180.00 = 0.07 x $180.00 = $12.60
Total cost = $180.00 + $12.60 = $192.60
Therefore, the total cost of the tennis racquet at Bob's Tennis Racquet Emporium is $192.60.
If Tennis Pro offers a before-tax price that is 10% less than Bob's store for a similar racquet, we can calculate the price tag as follows:
Price at Bob's store = $180.00
Discounted price at Tennis Pro = 10% less than $180.00 = 0.10 x $180.00 = $18.00 discount
Price at Tennis Pro = $180.00 - $18.00 = $162.00
Therefore, the price tag on the similar racquet at Tennis Pro is $162.00 before tax. The sales tax amount will depend on the applicable tax rate in the area where the store is located.
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Formula for finding the selling price and cost price.
Sales tax is given, its either a whole number or a percentage.
Answers
Answer:
All formulae about profit and loss:-
A) Gain = SP – CP
B) Loss = CP –SP
C) Loss or gain is always calculated over CP.
D) %Gain = {(Gain*100)/CP}
E) %Loss = {(Loss*100)/CP}
F) SP = {(100 %Gain)/100}*CP
G) SP = {(100-%Loss)/100}*CP
H) CP = {100/(100 %Gain)}*SP
I) CP ={100/(100-%Loss)}*SP
J) If an article is sold at a gain of say, 20%, then SP = 120% of CP.
K) If an article is sold at a loss of say, 20%, then SP = 80% of CP.
hope it helps :)
\( \frac{100 + gain\%}{100} \times cost \: \: price\)
Selling price =\( \frac{100 - loss\%}{100} \times cost \: \: price\)
Cost price =\(\frac{100}{100 + gain\%} \times selling \: \: price\)
Cost price =\(\frac{100}{100 - loss\%} \times selling \: \: price\)
Hope you could get an idea from here.
Doubt clarification - use comment section
what makes 3+7+2= +2true?
Answers
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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the students in math class are investigating the distribution of stickers by color in various packages. in a amall package, they find the following results, summarized in the frequency table and histogram below.how is the histogram for the stickers from the small package distributed?
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Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity.
Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity. 1.) Using the multipoint drawing tool, graph the market demand from the four hospitals. Label your line 'Demand'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) 2.) Using the multipoint drawing tool, graph the market supply of the four producers. Label your line 'Supply'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) The equilibrium quantity of ventilators sold is units. Carefully follow the instructions above and only draw the required pbjects.
Answers
In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.
To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.
Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.
The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.
By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.
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(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
Answers
What is the domain of the inverse of the functiony = -2(x - 1)2 + 3?
Answers
The given function is
\(y=-2(x-1)^2+3\)The inverse a function can be defined as the relation with the opposite domain and range sets. In other words, the range of the given function is the domain of its inverse.
To know the range of the given function we need to find the vertex (h,k). However, the given function is in vertex form
\(y=a(x-h)^2+k\)This means
\(h=1,k=3\)Now, the range is determined by k, because it's the limit condition of y-variable. So, we can deduct that the range is
\(R\colon\left\lbrace x\in\R|x\leq3\right\rbrace \)As we said before, the range of the given function is the domain of its inverse, which are all real numbers less than or equal to 3.
Therefore, the right answer is the third choice.
please help quickly!
Given f(x)=3x^2−3 and g(x)=5/x+1, what is the value of (g∘f)(2)?
Enter your answer, in simplest form, in the box.
Answers
The value of (g∘f)(2) is 1/2.
We must first evaluate the composite function g(f(x)) and substitute x = 2 in order to determine the value of (gf)(2).
The following procedures are taken in order to find the composite function (gf)(x) that combines the two functions f(x) and g(x):
1. Determine f(x) for x 2. Using the outcome of step 1, determine g(x) for that outcome
Here are the facts:
f(x) =
g(x) = 5/(x+1)
(gf)(x) is equal to g(f(x)) = 5/(f(x)+1).
When we add x = 2 to this expression, we obtain:
(g∘f)(2) = g(f(2)) = 5/(f(2)+1)
Now that x = 2 has been added to the expression for f(x), we can find f(2):
f(x) =
f(2) =
= 9
When we add this value to our formula for (gf)(2), we obtain:
(g∘f)(2) = g(f(2)) = 5/(f(2)+1) = 5/(9+1) = 5/10 = 1/2
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the sum of two numbers is 132 and their difference is 66 find the number
Answers
Answer:
99 and 33
Step-by-step explanation:
let x and y be the 2 numbers, with x being the larger of the 2, then
x + y = 132 → (1)
x - y = 66 → (2)
add (1) and (2) term by term to eliminate y
(x + x) + (y - y) = 132 + 66
2x + 0 = 198
2x = 198 ( divide both sides by 2 )
x = 99
substitute x = 99 into (1) and solve for y
99 + y = 132 ( subtract 99 from both sides )
y = 33
the 2 numbers are 99 and 33
For which number does the 9 have the least?
1. 9.001
2. 7.079
3. 0.9
4. 0.29
Answers
Answer:
2. 7.079
Step-by-step explanation:
The nine on the second choice is on the thousandths place. The nines on the other options are higher.
Hope this helps!
this is because the nine is in the farthest place which makes it worth the least
From exercise 9-15 Find the boundary of the critical region if the type I error probability is
a) alpha = 0.01 and n = 10
b) alpha = 0.05 and n=10
c) alpha = 0.01 and n=16
d) alpha = 0.05 and n=16
From exercise 9-15
standard deviation = 20
H0: mu = 175
H1: mu >175
Answers
Answer:
Step-by-step explanation:
To find the boundary of the critical region, given the type I error probability and sample size, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean.
The critical region is defined by the range of sample means that reject the null hypothesis, based on the given level of significance and the alternative hypothesis.
The critical region is the range of values of the test statistic that leads to rejection of the null hypothesis, based on a predetermined level of significance and the alternative hypothesis. To find the boundary of the critical region, we need to calculate the critical value using the standard normal distribution table and the formula for the sample mean. For a one-tailed test with alpha = 0.01 and n = 10, the critical value is 2.33, and the critical region is defined by the sample mean greater than 181.18. For a one-tailed test with alpha = 0.05 and n = 10, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.21. For a one-tailed test with alpha = 0.01 and n = 16, the critical value is 2.33, and the critical region is defined by the sample mean greater than 178.82. For a one-tailed test with alpha = 0.05 and n = 16, the critical value is 1.645, and the critical region is defined by the sample mean greater than 177.27. Therefore, the larger the sample size and the smaller the level of significance, the narrower the critical region and the higher the power of t
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Please help me !! would appreciate
Answers
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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The point (4, 2π/3, π/2) in the spherical coordinate system represents the point (4,2π/3,0) in the cylindrical coordinate system. Select one: O True O False
Answers
False. In the spherical coordinate system, the coordinates (r, θ, φ) represent a point in 3D space.
where r is the radial distance from the origin, θ is the polar angle measured from the positive z-axis, and φ is the azimuthal angle measured from the positive x-axis.
In the cylindrical coordinate system, the coordinates (ρ, θ, z) represent a point in 3D space, where ρ is the radial distance from the z-axis, θ is the angle measured from the positive x-axis, and z is the height along the z-axis.
The given points (4, 2π/3, π/2) in the spherical coordinate system and (4, 2π/3, 0) in the cylindrical coordinate system have the same values for the radial distance (4) and the angle θ (2π/3), but the third coordinate (φ vs. z) is different. Therefore, they do not represent the same point in the two coordinate systems.
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a tank contains 100 gal of pure water inirially. a solution containing zib salt /gal enters into the tank at the vate of 3 gal/min. also a drain is open so that qhe volume of the solution is constant. tow much after salt is in the tank after 60 mins?
Answers
To determine the amount of salt in the tank after 60 minutes, we need the concentration of salt in the solution entering the tank.
The information provided, which is the salt concentration in terms of "zib salt /gal," is incomplete and does not specify the actual value of zib.
If you can provide the concentration of salt in the solution entering the tank (in terms of a specific numerical value), I can help you calculate the amount of salt in the tank after 60 minutes.
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a tank contains 100 gal of pure water inirially. a solution containing zib salt /gal enters into the tank at the vate of 3 gal/min. also a drain is open so that qhe volume of the solution is constant. tow much after salt is in the tank after 60 mins?
If the quadratic equation x2 + 4x - 12 = 0 is rewritten in the form (x - p)2 = q , what is the value of q?
Answers
Answer:
the value of q is 2.
Step-by-step explanation:
2 = q , what is the value of q?An assortment of 200 pencils is sold through a catalog for $\$19.90$. Shipping is an additional $\$6.95$. Including the charges for both the pencils and the shipping, what is the average cost, in cents, for each pencil
Answers
Answer:
13.425¢ per pencil
Step-by-step explanation:
The per-pencil cost is the total cost divided by the number of pencils.
ApplicationThe total cost is the cost for 200 pencils plus the cost for shipping:
total cost = $19.90 +6.95 = $26.85
The cost per pencil is ...
total cost / number of pencils = $26.85 / 200 = $0.13425 = 13.425¢
The average cost per pencil is 13.425 cents.
Becka can make a bracelet in 2 minutes.
Question 1
Part A
Write an equation to express the relationship between the number of bracelets made and the amount of time it took, in minutes, to make them. Let x represent the number of bracelets made and let y represent the time, in minutes, it took to make the bracelets.
Answers
Answer:
2x = y
Step-by-step explanation:
x is how many bracelets made and each bracelet takes 2 minutes to make so x times 2 or 2x and y is the total time took so 2x=y
Which is greater 9/2 or 8/3
Answers
Answer:
9/2 is greater than
Step-by-step explanation:
How to solve quadratic equation by completing the square method
Answers
The completing the square method is a method for solving a quadratic equation in the form of ax2 + bx + c = 0.
To solve a quadratic equation by completing the square, the equation must first be written in the form of ax2 + bx = -c. The next step is to add (b/2)2 to both sides of the equation. This will give the equation (ax2 + bx + (b/2)2 = -c + (b/2)2. Then, factor the left side of the equation as a perfect square. The equation should now be in the form of (x + (b/2a))2 = -c + (b/2)2 + (b/2a)2. The final step is to take the square root of both sides of the equation, resulting in x = -(b/2a) ± √(-c + (b/2)2 + (b/2a)2). This is the solution to the quadratic equation.
For example, consider the equation 2x2 + 8x = -4.
2x2 + 8x + (8/2)2 = -4 + (8/2)2
(2x + 4)2 = -4 + 16
2x + 4 = ±√20
x = -4 ± √20/2
Therefore, the solutions to the equation are x = -4 ± √5.
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Layla is the youngest of four siblings whose ages are consecutive even integers. If the sum of their ages is 84, find Layla's age.
Answers
Answer:Layla is 18 years old.
We need to look at even numbers that can be added together that equal 84. 12+14+16+18 is 60, which means that their age will be older than teenagers. The age when they are all adults should allow us to get to 84.
18+20+22+24 is 84. Since Layla is the youngest, the number 18 represents her age.
I hope this helped & Good Luck <3 !!!
Let * be an operation defined on the real numbers R by x*y = x +y - ry. Please answer the following questions and explain your answers. (a) Is * closed on the real numbers? (b) Is * commutative? (c) Is * associative? (d) Does * have an identity element? If so, does every integer have an inverse? (e) Is (R, *) a group?
Answers
(a) No, the operation * is not closed on the real numbers.
To determine closure, we need to check if for any two real numbers x and y, xy is also a real number. However, if we choose r to be any real number other than 1, the result of xy will involve a term (-ry) that may not be a real number, breaking closure.
(b) No, the operation * is not commutative.
Commutativity requires that xy = yx for all real numbers x and y. However, in this case, xy = x + y - ry, while yx = y + x - rx. Since ry and rx are not generally equal, the operation is not commutative.
(c) No, the operation * is not associative.
Associativity requires that (xy)z = x(yz) for all real numbers x, y, and z. However, if we substitute the definition of * into both sides of the equation, we get different expressions that are generally not equal. Therefore, the operation * is not associative.
(d) Yes, the operation * has an identity element.
The identity element e is a real number such that for any real number x, xe = ex = x. In this case, choosing e = 0 satisfies the identity condition, as x0 = x + 0 - r0 = x. However, not every real number has an inverse since there are values of x for which xy = e has no solution, violating the requirement for every element to have an inverse.
(e) No, (R, *) is not a group.
A group requires closure, associativity, an identity element, and every element having an inverse. Since the operation * fails to satisfy closure and does not have inverses for all real numbers, it cannot form a group.
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How do you know if the linear term will be a plus or a minus ?
Answers
Answer:
I think these links will help you out here: (I read through and watch both)
https://www.purplemath.com/modules/factquad.htm
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/standard-form-rules
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Compare |-5| and |3|
Answers
Answer: A is correct
Step-by-step explanation: absolute value brackets make any value inside them positive therefore if -5 is inside them then 5 is definitely larger then 3
Find df/ds and df/dt when f(x, y) = e^x cos3y, x= s² -t² and y = 6st.
Answers
To find df/ds and df/dt, we need to apply the chain rule of differentiation.
Given:
f(x, y) = e^x cos(3y)
x = s² - t²
y = 6st
First, let's find df/ds:
df/ds = (df/dx)(dx/ds) + (df/dy)(dy/ds)
df/dx = e^x * cos(3y) (differentiate e^x with respect to x)
dx/ds = 2s (differentiate s² with respect to s)
df/dy = -3e^x * sin(3y) (differentiate cos(3y) with respect to y)
dy/ds = 6t (differentiate 6st with respect to s)
Substituting these values into the formula, we have:
df/ds = (e^x * cos(3y))(2s) + (-3e^x * sin(3y))(6t)
= 2se^x * cos(3y) - 18te^x * sin(3y)
Next, let's find df/dt:
df/dt = (df/dx)(dx/dt) + (df/dy)(dy/dt)
df/dx = e^x * cos(3y) (same as before)
dx/dt = -2t (differentiate -t² with respect to t)
df/dy = -3e^x * sin(3y) (same as before)
dy/dt = 6s (differentiate 6st with respect to t)
Substituting these values into the formula, we have:
df/dt = (e^x * cos(3y))(-2t) + (-3e^x * sin(3y))(6s)
= -2te^x * cos(3y) + 18se^x * sin(3y)
Therefore, the derivatives are:
df/ds = 2se^x * cos(3y) - 18te^x * sin(3y)
df/dt = -2te^x * cos(3y) + 18se^x * sin(3y)
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Need help with 22 and please gives explanation
Answers
Answer:
45 mi/h
Step-by-step explanation:
Here, we can find the total distance divided by the total time. To find the total time, we can set up 2 equations:
\(d = vt\) (which is the formula that connects velocity, time and displacement).
Here, we have to split the trip into 2 displacements because the car changes speed. So, we have 40 mi = 40 (mi/h) * t1. And t2 = 1 hour. For the second distance: 20 mi = 60 (mi/h) * t2. And t2 = 1/3 hrs.
since total time = t1+t2, we get the total time is 4/3 hours. Then, we get:
80 = \(v_{avg}\)*(4/3) where \(v_{avg}\) is the average velocity of the trip. Finally, we get \(v_{avg}\) = 45 mi/h