The following recipe is for 16 crepes: • 1/4 cup margarine, 3 tbs sugar, 1/2 cup orange juice, • 1 tbs grated orange rind, and 1/2 cup toasted almonds. You need to serve 5 crepes per person for 8 guests. How much of each ingredient is needed?
Answers
You need 5/2 times the amounts given in the recipe, so you need:
5/8 cup margarine 15/2 tbs sugar 5/4 cup orange juice 5/2 tbs grated orange rind5/4 cup toasted almonds.How much of each ingredient is needed?Here we have the recipe for 16 crepes:
1/4 cup margarine 3 tbs sugar1/2 cup orange juice 1 tbs grated orange rind1/2 cup toasted almonds.You want to make 5 crepes for person, for 8 persons, so you need:
8*5 = 40 crepes.
So you need to make the recipe N times:
16*N = 40
N = 40/16 = 10/4 = 5/2
So you need a fraction of 5/2 times each of the amounts in the recipes.
You will need:
(5/2)*1/4 = 5/8 cup margarine (5/2)*3 = 15/2 tbs sugar(5/2)*1/2 = 5/4 cup orange juice 5/2 tbs grated orange rind(5/2)*1/2 = 5/4 cup toasted almonds.Learn more about fractions at:
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Related Questions
What is the sum of 2/5 and 1/8
Answers
The spinner above is used in a game. What is the theoretical probability of the given event with one spin?
P(a multiple of 3)
a.
Three-fourths
c.
StartFraction 3 Over 8 EndFraction
b.
One-fourth
d.
0
Please select the best answer from the choices provided
Answers
The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.
The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.
In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:
Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}
Favorable outcomes (multiples of 3): {3, 6}
The total number of possible outcomes is 6, and the number of favorable outcomes is 2.
The theoretical probability of spinning a multiple of 3 can be calculated as:
P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)
P(multiple of 3) = 2 / 6
Simplifying the fraction, we get:
P(multiple of 3) = 1 / 3
Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.
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Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation
Answers
Answer:
Step-by-step explanation:
For the first 30 hours, Andrew will earn 4(30) = $120. For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30). Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:
w = 120 + 5(h - 30).
So, if he works 35 hours, he will earn:
120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.
If he works 42 hours, he will earn:
120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.
I hope this helps!
Definition:The Isuzu NPR 250 light truck with manual transmission has a circular brake drum with a diameter of 320 millimeters. Each brake pad, which presses against the drum, is 307 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees
Answers
Answer:
central angle ( θ) = 1.91875radians
central angle ( θ) in degrees = 109.92degree
Step-by-step explanation:
Given:
diameter of 320 millimeters
Then the Radius of the circular
brake drum can be calculated as
Radius =Diameter/2
Radius = 320 millimeters/ 2
Radius= 160 millimeters
central angle ( θ) = arc/r
central angle ( θ) = 307 millimeters /160 millimeters
central angle ( θ) = 1.91875radians
Than to convert it to degrees we have
1rad × 180/π = degree
Where π =3.142
central angle ( θ) = 1.91875radians * 180/π
Therefore,central angle ( θ) in degrees = 109.92degree
the theoretical probability of event e, denoted by ______, is the ______ divided by ______.
Answers
The theoretical probability of event E, denoted by P(E), is the number of favorable outcomes divided by the total number of possible outcomes.
The theoretical probability of an event E, denoted by P(E), is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given sample space.
In other words, it represents the likelihood of occurrence of event E based on the underlying theoretical assumptions.
Theoretical probability is derived from a theoretical or mathematical model and is based on the assumption that all outcomes in the sample space are equally likely.
It provides a theoretical expectation of the probability of an event occurring under ideal conditions.
To calculate the theoretical probability, we divide the number of favorable outcomes (the outcomes that meet the criteria for event E) by the total number of possible outcomes in the sample space.
This ratio represents the probability of event E occurring.
For example, if we have a fair six-sided die and we want to calculate the theoretical probability of rolling a 3, there is only one favorable outcome (rolling a 3) out of six possible outcomes (numbers 1 to 6).
Therefore, the theoretical probability of rolling a 3 is 1/6 or approximately 0.1667.
It's important to note that theoretical probability assumes ideal conditions and equal likelihood of all outcomes, which may not always reflect the real-world situation.
In practice, empirical probability based on observed frequencies is often used when actual data is available.
In summary, the theoretical probability of event E is the ratio of the number of favorable outcomes to the total number of possible outcomes in the sample space, providing a mathematical estimate of the likelihood of event E occurring.
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Please help!!! Angles!
Answers
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
kristine has a $20 apps cash card and wants to buy some games and songs.Each game costs $2 and each song cost 1.25.Kristine wants to buy at least 12 items.Solve the system of inequalities by graphing to determine the possible number of games and songs that kristine can buy
Answers
Answer:
1.25x + 2x ≤ 20
X + X = 12
Step-by-step explanation:
12x+105=55x+0 solve for x
12y=155 sovle for y
Answers
Answer:
Step-by-step explanation:
12x + 105 = 55x + 0
=> 12x + 105 = 55x
=> 55x - 12x = 105
=> 43x = 105
=> x = 105/43
12y = 155
=> y = 155/12
a) Find the first four nonzero terms of the Taylor series for the given function centered at a.
b) Write the power series using summation notation.
f(x)=e^x , a=ln(10)
Answers
a) The first four nonzero terms of the Taylor series for \(f(x) = e^x\)centered at a = ln(10) are:
10, 10(x - ln(10)), \(\dfrac{5(x - ln(10))^2}{2}\), \(\dfrac{(x - ln(10))^3}{3!}\)
b) The power series using summation notation is:
\(\sum_{n=0}^{\infty} \dfrac{(10 (x - ln(10))^n)}{ n!}\)
a)
To find the first four nonzero terms of the Taylor series for the function \(f(x) = e^x\) centered at a = ln(10), we can use the formula for the Taylor series expansion:
\(f(x) = f(a) + \dfrac{f'(a)(x - a)}{1!} + \dfrac{f''(a)(x - a)^2}{2!} + \dfrac{f'''(a)(x - a)^3}{3!} + ...\)
First, let's calculate the derivatives of \(f(x) = e^x\):
\(f(x) = e^x\\f'(x) = e^x\\f''(x) = e^x\\f'''(x) = e^x\)
Now, let's evaluate these derivatives at a = ln(10):
\(f(a) = e^{(ln(10))}\ = 10\\f'(a) =e^{(ln(10))}\ = 10\\f''(a) =e^{(ln(10))}\ = 10\\f'''(a) = e^(ln(10)) = 10\)
Plugging these values into the Taylor series formula:
\(f(x) = 10 + 10\dfrac{(x - ln(10))}{1!} + \dfrac{10(x - ln(10))^2}{2!} + \dfrac{10(x - ln(10))^3}{3!}\)
Simplifying the terms:
\(f(x) = 10 + 10(x - ln(10)) + \dfrac{10(x - ln(10))^2}{2} + \dfrac{10(x - ln(10))^3}{3!}\)
Therefore, the first four nonzero terms of the Taylor series for \(f(x) = e^x\)centered at a = ln(10) are:
10, 10(x - ln(10)), \(\dfrac{5(x - ln(10))^2}{2}\), \(\dfrac{(x - ln(10))^3}{3!}\)
b) To write the power series using summation notation, we can rewrite the Taylor series as:
\(\sum_{n=0}^{\infty} \dfrac{(10 (x - ln(10))^n)}{ n!}\)
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I need help asap with this maths question
Answers
Answer:
\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)
Step-by-step explanation:
if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answers
Answer:
comparing the means of three or more groups
Step-by-step explanation:
If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next gam~
Answers
Solving the question asked, we can say: If you win tonight, your odds of winning the next game are \($58.33\%$\). After that, if you lose, you have a \($38.88 \%$\) chance of winning the game.
What is probability?Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.
\($$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$\)
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To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used
Answers
The type of sampling used in this scenario is A Systematic sampling.
Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.
This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.
Therefore, the type of sampling used in this scenario is A Systematic sampling.
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Complete question is below
To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:
A Systematic sampling
B Stratified sampling
C Cluster sampling
D Convenience sampling
Solve for x in the diagram * 10 POINTS HELP*
Answers
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
if you are walking at a speed of 2.5 miles an hour how fast are you moving in kilometers a min. given that there are 1609.0 meters in a mile and 60.0 minutes in as hour. report your answer to the correct number of significant digits.
Answers
You are going at a speed of 4.0 km/h. A mile is 1609.0 metres long, and an hour is 60.0 minutes long.
3.0 kilometres per minute is equal to (2.5 * 1609.0)/60.0 miles per hour. Walking at 2.5 miles per hour results in a speed of 4.0 kilometres per minute. Because there are more metres in a mile than in a kilometre, the conversion between miles and kilometres is not a straightforward one-to-one conversion. A mile is 1609.0 metres long, and an hour is 60.0 minutes long. You must first convert 2.5 miles per hour to metres, and then divide the result by 60.0 minutes to obtain the speed in kilometres per minute. (2.5 * 1609.0)/60.0 = 4.0 kilometres per minute is the calculation.
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Find the value of x.
Answers
Answer:
x = 13
Step-by-step explanation:
3x + 5 = 44
3x = 39
x = 13
diedre has a litter of 888 new puppies in a basket. the weight of the basket and the puppies combined is 2{,}9772,9772, comma, 977 grams. the weight of the basket alone is 1{,}0771,0771, comma, 077 grams. estimate the weight of each puppy if all the puppies weighed the same amount.
Answers
Each puppy would weigh approximately 2.13 grams if all the puppies weighed the same amount.
To estimate the weight of each puppy, we need to subtract the weight of the basket from the total weight of the basket and puppies to find the total weight of the puppies.
Total weight of puppies = Total weight of basket and puppies - Weight of basket alone
= 2,977 - 1,077 = 1,900 grams
Then we divide the total weight of the puppies by the number of puppies to find the weight of each puppy:
Weight of each puppy = Total weight of puppies / Number of puppies
= 1,900 / 888
= approximately 2.13 grams
Each puppy would weigh approximately 2.13 grams if all the puppies weighed the same amount.
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1. If f(x) = 4x — 7 and , find each value:
a. f(3)
b. f(0)
Answers
Answer:
f(3)=5
f(0)= -7
Step-by-step explanation:
replace
4(3)-7
f(3)=5
f(0)=4(0)-7
f(0)=0-7
f(0)= -7
b. f(0)=4(0)-7=-7
hope this helps!
If two methods agree perfectly in a method comparison study, the slope equals ________ and the y-intercept equals ________.
a. 0.0, 1.0
b. 1.0, 0.0
c. 1.0, 1.0
d. 0.0, 0.0
e. 0.5, 0.5
Answers
If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.
In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.
When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.
Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.
Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).
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the data shows the number of grams of fat found in 9 different health bars. 12, 14, 16, 17.5, 10, 18, 15, 15.5, 19 what is the iqr for the data?
Answers
The IQR for the data is 4.75.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile.
Third quartile = 3/4(n + 1)
First quartile = 1/4 x (n + 1)
The data arranged in ascending order is: 10, 12, 14, 15, 15.5, 16, 17.5, 18, 19
First quartile = (12 + 14) / 2 = 13
Third quartile = (17.5 + 18) / 2 = 17.75
IQR = 17.75 - 13 = 4.75
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Apply the distributive property to create an equivalent expression. \dfrac12(10x + 20y +10z) = 2 1 (10x+20y+10z)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals
Answers
Answer:
The answer is "\(5x+10y+5z\)"
Step-by-step explanation:
Given value:
\(\to \frac{1}{2}(10x + 20y +10z)\)
Using the distributive property.
If there are three integers a,b and c then:
\(a \cdot(b+c) =a \cdot b + a \cdot c\)
\(\to \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)\)
Again apply the distributive property
\(\to (5x) +(10y+5z)\\\\\to (5x+10y+5z)\)
Or
\(\to \frac{1}{2}(10x + 20y +10z)\)
take common 2 from the equation:
\(\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\\)
Answer:
5x+10y+5z
Step-by-step explanation:
5. Rewrite the following equation in standard form.
2y=-3/4x-2/3
Answers
Answer:
9x +24y = -8
Step-by-step explanation:
2y + 3/4 x = -2/3 ( multiple by 4)
24y + 9 x = -8 (move x to the front)
9x + 24y = -8
12. Two tankers leave Corpus Cristi at the same time traveling toward El Paso, which is 900 miles west of Corpus Cristi. Tanker A travels at 18mph and Tanker B travels at 22mph.
a) Write parametric equations for the situation.
Answers
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answers
Answer:
-3, -13, -23, -33, -43
Step-by-step explanation:
An atithmetic sequence has a common difference between each term
in -3, -13, -23, -33, -43
the difference between terms is a constant -10
which equation is perpendicular to 2y = 8x+7?
Answers
Answer:
2y=-1/8x+7
Step-by-step explanation:
Answer:
Rewrite equestion
8x - 2y= -7
How do I solve for the answers
Answers
Answer:
4
Step-by-step explanation:
Select all expressions that are equivalent to 5x + (x+6) +3x. 8x+6 6x + 6 + 3x 5x + 6+3x 9x+6
Answers
5x + (x+6) + 3x
5x + x + 6 + 3x
Combine like terms
5x+ x + 3x + 6
9x +6
One is 9x +6
It can also be
(5x+x ) +3x+6
6x+6 +3x
Elfie had saved up $115 from shoveling snow off sidewalks at the North Pole. He wanted to buy 6 packs of gum for $2 each, 3 sleds for $13 each and 4 sets of slippers for $6 a pair. How much money will he have left?
Answers
What does 1/6 + 11/12 equal
Answers
Help please (: :). .
Answers
Answer:37.68
Brainliest pls
Answer:
The circumference of the circle is 75.36cm
Step-by-step explanation:
There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi