A recipe for banana pudding calls for 2/3 of a cup of sugar for the flour mixture and 1/4 of a cup of sugar for the meringue topping. How many cups of sugar in all is required to make the banana pudding?
Answers
Answer: To find the total amount of sugar required to make the banana pudding, we need to add the amount of sugar needed for the flour mixture to the amount of sugar needed for the meringue topping.
The recipe calls for 2/3 of a cup of sugar for the flour mixture and 1/4 of a cup of sugar for the meringue topping. To add these two fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can convert these fractions to twelfths:
2/3 = 8/12
1/4 = 3/12
Now we can add these two fractions:
8/12 + 3/12 = 11/12
So the total amount of sugar required to make the banana pudding is 11/12 of a cup.
Related Questions
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
Answers
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
The distance that an object travels in seconds is given by( s)/(l)eft ((t)/(r)ight )=11ts(t)=11t . What is the average velocity over the time interval [18,73] ?
Answers
The average velocity of an object over the time interval [18, 73] when the distance the object travels in seconds is given by( s)/(l)eft ((t)/(r)ight )=11ts(t)=11t is 11.
Given equation is (s)/(l)eft ((t)/(r)ight )=11ts(t)=11t
We need to calculate the average velocity over the time interval [18, 73].
The velocity of an object is defined as the rate at which it changes its position with respect to time.
The average velocity of the object is calculated using the formula given below:
average velocity = (change in displacement) / (time taken)
We are given the distance that an object travels in seconds as (s)/(l)eft ((t)/(r)ight )=11t.
The expression for distance is given by (s)/(l)eft ((t)/(r)ight )=11t
The velocity is the derivative of the distance with respect to time t.(s)/(l)eft ((t)/(r)ight )=11t
Taking the derivative of the expression (s)/(l)eft ((t)/(r)ight )=11t with respect to t we get:
s'(t) = d/dt[(s)/(l)eft ((t)/(r)ight )] = d/dt[11t]s'(t) = 11
Since we are asked to find the average velocity over the time interval [18, 73],
we need to find the distance travelled by the object during this time period. We can do this by substituting the value of t in the expression for distance from t=18 to t=73.
(s)/(l)eft ((t)/(r)ight )=11tFrom t=18 to t=73, we get:
(s)/(l)eft ((73)/(r)ight )=(s)/(l)eft ((18)/(r)ight )+11(73-18)s = 55*11s = 605
Therefore, the distance travelled by the object over the time interval [18, 73] is 605 units.
The average velocity is given by:
average velocity = (change in displacement) / (time taken)
Time taken = 73 - 18 = 55 units
average velocity = (605/55)
average velocity = 11
The average velocity over the time interval [18, 73] is 11.
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is 120.4 hundredths or ones or tens or hundreds
Answers
Answer:
Not sure what you're asking but 120.4 is
one hundred
two tens
and four tenths
another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
Answers
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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672,342 = 6.72342 × 10n
what is the value of n?
5
3
4
6
Answers
Answer: 5
Step-by-step explanation: If n is the exponent and the base is 10, 6.72342 is to be multiplied by 10 power 5 to give the answer as 672342.
6.72342 * 10^5 = 6.72342 * 100000
= 672342
let|x z|= 5what is the |2x+z z|
|y w| |2y+w w|
Answers
If |x z|= 5 , then the value of equation |2x+z z||y w| |2y+w w| is 10| xy + zw/2 + xyw/4 + zwy/4.
Given that |x z|= 5, we need to find the value of |2x+z z||y w| |2y+w w|
Let's start by solving |2x+z z| and |2y+w w|.
|2x+z z| = |2(x + z/2) z/2|
[dividing z/2 on both sides, we get 2x + z = 2(x + z/2)]= 2| x+z/2|.
|2y+w w| = |2(y + w/2) w/2| [dividing w/2 on both sides, we get 2y + w = 2(y + w/2)] = 2| y+w/2|
Now, we need to find the value of |x z||y w|.
|x z||y w| = |x||y| |z||w| = |xy||zw|
As we have the value of |x z|= 5, we get|xy||zw| = 5|y w|
Now, substituting the value of |2x+z z| and |2y+w w| in the equation |2x+z z||y w| |2y+w w|,
we get
2| x+z/2| * | y+w/2| * 5|y w|
= 10| x+z/2|| y+w/2||y w|
= 10| xy + zw/2 + xyw/4 + zwy/4|
Therefore, the value of |2x+z z||y w| |2y+w w| is 10| xy + zw/2 + xyw/4 + zwy/4|.
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what term refers to the arithmetic average of a series of numbers? a. mode
b. median
c. mean
d. range
Answers
The term that refers to the arithmetic average of a series of numbers is c. mean. It is calculated by summing up all the values in a data set and dividing the sum by the total number of values.
In statistics, the mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by summing up all the values in the data set and dividing the sum by the total number of values. The mean provides a representation of the typical or average value in the data set.
Option a, mode, refers to the value or values that appear most frequently in a data set.
Option b, median, is the middle value in a sorted list of numbers. It separates the higher half from the lower half of the data set.
Option d, range, represents the difference between the maximum and minimum values in a data set, providing a measure of dispersion.
Therefore, the correct term that corresponds to the arithmetic average of a series of numbers is c. mean.
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Find the Greatest Common Factor of 20, 30 and 55
Answers
Answer:
5
is the answer dont over think it and try plz bc its very easy
The Greatest Common Factor of 20, 30, and 55 will be 5.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, the numbers 20, 30, and 55.
The biggest divide between the two numbers is the greatest common factor. List each number's prime factors before calculating its greatest common factor.
20=5×2×2
30=5×2×3
55=5×11
One 2 and one 3 are the same for 20, 30, and 55. We multiply them to obtain the GCF, so the GCF of 20, 30, and 55 is 5.
Since we frequently work with fractions and they are prevalent in daily life, the greatest common factors (GCF) are very helpful. A fraction or ratio can be successfully simplified by determining the GCF of the denominator and numerator.
Thus, the Greatest Common Factor of 20, 30, and 55 will be 5.
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By how much is the total sum of 7/8 and 5/9 greater than 5/6?
Answers
ANSWER
\(\frac{43}{72}\)EXPLANATION
First, we have to find the total sum of 7/8 and 5/9.
That is:
\(\begin{gathered} \frac{7}{8}+\frac{5}{9} \\ \frac{(9\cdot7+8\cdot5)}{72} \\ \Rightarrow\frac{63+40}{72} \\ \Rightarrow\frac{103}{72} \end{gathered}\)Now, we subtract 5/6 from that.
That is:
\(\begin{gathered} \frac{103}{72}-\frac{5}{6} \\ \frac{103-(5\cdot12)}{72} \\ \frac{103-60}{72} \\ \Rightarrow\frac{43}{72} \end{gathered}\)That is the answer.
some students took an optional training class before their driving test. 28/75 took the optional class and passed their drivers test. 8/15 passed their drivers test. 3/5 took the optional class. How many students took the optional class, given he or she passed?
Answers
Approximately 17 students who took the optional class passed their driver's test.
Let's solve this problem step by step.
We are given the following information:
28 out of 75 students who took the optional class passed their driver's test.
8 out of 15 students overall passed their driver's test.
3 out of 5 students took the optional class.
To find the number of students who took the optional class and passed, we need to calculate the intersection of these two groups.
First, let's calculate the total number of students who took the optional class:
Total students who took the optional class = (3/5) \(\times\) Total number of students
Total students who took the optional class = (3/5) \(\times\) 75 = 45
Now, let's calculate the total number of students who passed their driver's test:
Total students who passed their driver's test = (8/15) \(\times\) Total number of students
Total students who passed their driver's test = (8/15) \(\times\) 75 = 40
Next, let's find the number of students who both took the optional class and passed their driver's test.
This can be found by taking the intersection of the two groups:
Number of students who took the optional class and passed = (28/75) \(\times\)Total students who took the optional class
Number of students who took the optional class and passed = (28/75) \(\times\)45 = 16.8 (approximated to the nearest whole number).
Therefore, approximately 17 students who took the optional class passed their driver's test.
It's important to note that since we're dealing with whole numbers, the approximated answer is 17, as we cannot have a fraction of a student.
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My hair grows 6 inches per year, continuous or discrete?
Answers
Answer:
bruh
Step-by-step explanation:
What is the missing number below in the solution to 968 divided by 10
Answers
Answer: 484/5
Step-by-step explanation:
For this word problem, it seems confusing with the wording but the equation would just be:
968÷10=x
solving for x, we get 484/5.
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
Answers
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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At a tree farm, there are 9 rows of 36 spruce trees.In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?
Answers
Answer:
198 spruce are NOT blue
Step-by-step explanation:
Answer:
22 not blue each row.
198 = ANSWER
Step-by-step explanation:
who is the first mathematician to come close to calculating pi?
Answers
The first mathematician who came close to calculating pi was Archimedes of Syracuse.
In 250 BCE, he found the value of pi to be between 3.1408 and 3.1429 by inscribing and circumscribing a circle with polygons.
What is pi?Pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi has an infinite number of decimal places and is commonly represented by the Greek letter π. It is approximately equal to 3.14159 but is an irrational number, meaning it cannot be expressed as a fraction of two integers.
Who was Archimedes?Archimedes of Syracuse was a Greek mathematician, physicist, engineer, inventor, and astronomer who lived from 287-212 BCE. Archimedes is considered one of the greatest mathematicians in history and made significant contributions to mathematics, physics, engineering, and astronomy. He was also known for his inventions, including the Archimedes screw and the compound pulley system.
Archimedes of Syracuse was the first mathematician who was close to the value of pi.
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if the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?
Answers
Answer:
a₄ = 2
Step-by-step explanation:
Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then
a₃ = 7 , so
a₄ = a₃ + 5 = 7 - 5 = 2
Answer:
t4=a+(n-1)d
t4=7+(4-1)-5
t4=7+(-15)
t4=-8
the supermarket displays the unit price for the 15.3-ounce box in terms of cost per ounce, but displays the unit price for the 24-ounce box in terms of cost per pound. what are the unit prices, to the nearest cent, given by the supermarket? unit price for the 15.3-ounce box
Answers
The unit price for the 15.3-ounce box, given by the supermarket, can be determined by converting the unit price for the 24-ounce box from cost per pound to cost per ounce. The unit price for the 15.3-ounce box is approximately x cents per ounce (where x is the converted unit price per ounce).
To find the unit price for the 15.3-ounce box, we need to convert the unit price for the 24-ounce box from cost per pound to cost per ounce. Since there are 16 ounces in a pound, we can convert the cost per pound to cost per ounce by dividing it by 16.
Let's assume the unit price for the 24-ounce box, displayed by the supermarket, is y dollars per pound. To convert this to cost per ounce, we divide y by 16. The resulting value, y/16, represents the unit price in dollars per ounce.
Now, to express the unit price in cents per ounce (to the nearest cent), we multiply y/16 by 100 to convert it to cents. This gives us the converted unit price in cents per ounce, which is approximately x cents per ounce.
Therefore, the unit price for the 15.3-ounce box, given by the supermarket, is approximately x cents per ounce.
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We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
Answers
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
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the entertainment section of the local magazine needs to know the number of movies showing daily in nearby theaters this box and whisker plots shows the resultsmovies shown daily at theaters
Answers
SOLUTION
We want to find the interquartile range of the box and whisker plot in the picture.
Interquartile range is calculated as
\(Q3-Q1\)In the box and whisker plot
\(\begin{gathered} Q1=16 \\ Q3=22 \\ Q3-Q1=22-16=6 \end{gathered}\)Hence the answer is 6
Andre was trying to write 7⁴/7⁻³ with a single exponent and wrote 7⁴/7⁻³=7⁴⁻³. Explain to Andre what his mistake was.
I need this by today please help
Answers
Answer:
Answer
see explanation
Step-by-step explanation:
Using the rule of exponents
= , then
=
His mistake was in subtracting 3 rather than - 3
I need help with Algebra every single time
Please help
Answers
Answer:
perimeter = 12 z + 3
Explanation:
The perimeter of a shape is the sum of all the sides.
Therefore, we add all the sides' lengths together:
perimeter = (4z - 2)+(3z + 3)+(z + 5)+(4z- 3)
= 12 z + 3
Which expression is equivalent to 2.2-2.5
A
2.5−2.22.5-2.22.5−2.2
B
2.2+2.52.2+2.52.2+2.5
C
2.2+(−2.5)2.2+\left(-2.5\right)2.2+(−2.5)
D
2.2−(−2.5)2.2-\left(-2.5\right)2.2−(−2.5)
Answers
The equivalent expression will be;
⇒ 2.2 + (- 2.5)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2.2 - 2.5
Now,
Since, The expression is,
⇒ 2.2 - 2.5
Hence, After solve we get;
⇒ 2.2 - 2.5 = - 0.3
By option 3, we have;
⇒ 2.2 + (- 2.5)
After solving, we get;
⇒ 2.2 - 2.5 = - 0.3
Thus, The correct expression will be;
⇒ 2.2 + (- 2.5)
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you are going to the movie theater with your parents and your 8 year-old brother. adult tickets cost $8, students cost $7.25 and under age 10 cost $4.25. if you spent an additional $20 on soda and popcorn, what is the total cost of your trip to the movie theater?
Answers
The total cost of the trip to the movie theater is $47.5.
Here we have to find the total cost of the trip to the movie theater.
The cost of the adult = $8
The cost for those under age 10 = $4.25
The cost for students= is $7.25
The total amount spends on soda and popcorn = is $20.
Two parents come in the category of adult, one student, and one 8-year-old brother who comes in under age 10.
So the total amount spend = 2 × 8 + 7.25 + 4.25 + 20
= 16 + 7.25 + 4.25 + 20
= 47.5
Therefore amount spend is $47.5.
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Step by step solution
Answers
Answer:
b is correct answer
Step-by-step explanation:
when we write logarithmic terms we change the result from number which is power of 3
Which of the following is not & characteristic of the t test? Choose the correct answer below: The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1. The Student t distribution has the same general bell shape as the standard normal distribution_ The " Student t distribution is different for different sample sizes. The test is robust against - departure from normality:
Answers
The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.
The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.
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What value of x will make the triangles similar by the sss similarity theorem? 15. 9 59 77 96. 8.
Answers
Therefore, the value of x that will make the triangles similar by the SSS similarity theorem is approximately 73.51.
To determine the value of x that will make the triangles similar by the SSS (Side-Side-Side) similarity theorem, we need to identify the corresponding sides of the triangles and set up a proportion.
Let's denote the corresponding sides of the two triangles as follows:
Triangle 1: Side A = 15, Side B = 59, Side C = 77
Triangle 2: Side A' = 9, Side B' = x, Side C' = 96
According to the SSS similarity theorem, for two triangles to be similar, the ratios of the corresponding sides must be equal.
Therefore, we can set up the following proportion:
A / A' = B / B' = C / C'
Substituting the given values, we have:
15 / 9 = 59 / x = 77 / 96
To find the value of x, we can solve the second equation in the proportion:
59 / x = 77 / 96
Cross-multiplying, we get:
59 * 96 = 77 * x
Simplifying further:
5664 = 77x
Dividing both sides by 77:
x = 5664 / 77
Calculating this value:
x ≈ 73.51
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Use the order of operations to order the steps to evaluate the expression (60+15)/3-2(4)+2^3
Answers
Answer:
25
Step-by-step explanation:
(60+15)/3-2(4)+2^3
75/3 -2 x4 + 2^3
75/3 - 8 +2^3
75/3 - 8 +8
75/3
25
what is the lowest common multiple of 12 and 16
Answers
Does the system of equations 3y=1+x and y=-2x+5 have no solution
Answers
Answer:
It has solution
Step-by-step explanation:
x=2, y=1
So these are the equations
3y=1+x
y=-2x+5
We can substitute “-2x +5” for the y-value because y = -2x +5, so:
3(-2x + 5) = 1 + x
Solve for x:
-6x + 15 = 1 + x
7x + 1 = 15
7x = 14
x = 2
Now you use x = 2 in the original equations to find out the y-value solution.
x = 2
3y=1+x
y=-2x+5
3y = 1 + (2)
3y = 3
y = 1
y = -2(2) + 5
y = -4 + 5
y = 1
Check x = 2, y = 1
3y = 1 + x
3(1) = 1 + 2
3 = 3 ✅
y=-2x+5
(1) = -2(2) + 5
1 = -4 + 5
1 = 1 ✅
So this system of equations has the solution x = 2, y = 1 because
(1) when you use x = 2, y = 1, each individual equation is proven to be true,
and (2) this x- and y-value works for *both* equations listed.
The lengths of the perpendiculars drawn to the sides of a regular hexagon from an interior point are 4, 5, 6, 8, 9, and 10 centimeters. What is the number of centimeters in the length of a side of this hexagon
Answers
Thus, the length of a side of the regular hexagon is 8 centimeters using the Pythagorean theorem.
The key to solving this problem is to realize that the perpendiculars drawn from the interior point to the sides of the hexagon form a right triangle with one leg being the perpendicular and the other leg being a side of the hexagon. We also know that the hexagon is regular, meaning all sides have the same length.
Let's label the length of the side of the hexagon as "x". We can use the Pythagorean theorem to find the length of each perpendicular as follows:
- For the perpendicular that is 4 cm long, we have x^2 = 4^2 + (x/2)^2
- For the perpendicular that is 5 cm long, we have x^2 = 5^2 + (x/2)^2
- For the perpendicular that is 6 cm long, we have x^2 = 6^2 + (x/2)^2
- For the perpendicular that is 8 cm long, we have x^2 = 8^2 + (x/2)^2
- For the perpendicular that is 9 cm long, we have x^2 = 9^2 + (x/2)^2
- For the perpendicular that is 10 cm long, we have x^2 = 10^2 + (x/2)^2
Simplifying each equation and using a bit of algebra, we get:
- 3x^2 = 16^2
- 7x^2 = 25^2
- 12x^2 = 36^2
- 24x^2 = 64^2
- 33x^2 = 81^2
- 40x^2 = 100^2
Solving for x in each equation, we find that x = 8 cm. Therefore, the length of a side of the regular hexagon is 8 centimeters.
In summary, we used the fact that the perpendiculars from an interior point to the sides of a regular hexagon form right triangles to set up equations using the Pythagorean theorem. Solving for the length of a side of the hexagon in each equation, we found that it is 8 cm long.
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