Answer: 8oz of the 20% and 12oz of the 70%
Step-by-step explanation:
(20*x) + (70*(20-x)) / 20 = 50
(20x +1400-70x) / 20 =50
20x +1400-70x = 1000
50x=400
x=8
20-8=12
plz help due in 30mins
Answer:
y=x+5
Step-by-step explanation:
y increases by 5 so in y=mx+b b=5 and x increases by 1 so still x thus the answer is y=x+5
a bag contains 16 coins each with a different date. the number of possible combinations of three coins from the bag is
The number of possible combinations of three coins from the bag of 16 coins with different dates can be calculated using the formula for combinations, which is nCr = n! / r!(n-r)!, where n is the total number of objects, r is the number of objects to be chosen, and ! denotes factorial (the product of all positive integers up to the given number).
In this case, we have n = 16 (the total number of coins in the bag) and r = 3 (the number of coins to be chosen for each combination). Using the formula for combinations, we can calculate the number of possible combinations as follows:
nCr = 16! / 3!(16-3)!
nCr = (16 x 15 x 14) / (3 x 2 x 1)
nCr = 560
Therefore, 560 possible combinations of three coins can be chosen from the bag of 16 coins with different dates. These combinations could represent different historical events, significant dates, or other symbolic meanings depending on the dates inscribed on the coins. The calculation of combinations is an important concept in combinatorics and probability theory, and it has many real-world applications in fields such as statistics, economics, and computer science.
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The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
The correct option is the third one; (14, 4); The vertex represents the maximum profit.
How to find the vertex of the quadratic?For a general quadratic equation
y = ax² + bx + c
The vertex is at the x-value:
x = -b/2a
Here the quadratic function is:
f(x)= -x² + 28x - 192
The vertex is at:
x = -28/2*-1 = 14
Evaluating in x= 14 we get:
f(14) = -14² + 28*14 - 192 = 4
So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.
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Is this image of this graph a positive correlation, negative correlation, or not a correlation?
Answer:
Negative
Step-by-step explanation:
I dont really know how to explain it but it is a negative correlation.
9514 1404 393
Answer:
positive correlation
Step-by-step explanation:
The general trend of the data is upward to the right, so the trend line has a positive slope. The sign of the correlation matches the sign of the slope of the trend line. The correlation is positive.
__
The data is well-scattered about that "trend line," so the correlation would be only slightly positive.
PLEASE HELP!! WILL MARK BRAINLIEST!!
Adele, Barbara and Collette share $680 in the ratio 9: 7:4.
(a) Show that Adele receives $306.
(b) Calculate the amount that Barbara and Collette each receive.
(c) Adele changes her $306 into euros (€) when the exchange rate is €1 = $1.125.
Calculate the number of euros she receives.
(d) Barbara spends a total of $17.56 on 5 kg of apples and 3 kg of bananas.
Apples cost $2.69 per kilogram.
Calculate the cost per kilogram of bananas.
(e) Collette spends half of her share on clothes and
of her share on books.
Calculate the amount she has left.
Answer:
if u have any doubts feel free to ask :)
Step-by-step explanation:
Sum of ratio : 9 + 7 + 4 = 20
a)
Adele share :
\(\frac{9}{20} \times 680 = 9 \times 34 = \$ 306\)
b)
Barbara share :
\(\frac{7}{20} \times 680 = 7 \times 34 =\$ 238\)
Collette share :
\(\frac{4}{20} \times 680 = 4 \times 34 = \$ 136\)
c)
$ €
1.125 1
306 x
\(\frac{1.125}{306} = \frac{1}{x}\) [cross multiply]
\(x =\frac{ 306} {1.125}\)
x = €272
Adele receives = €272
d)
Apple Cost
1 kg 2.69
5 kg y
y = 2.69 x 5 = $13.45
Cost of 5kg of apples = $13.45
Cost of 3 kg bananas = 17.56 - 13.45 = $4.11
Banana Cost
3kg 4.11
1 kg z
\(z = \frac{4.11}{3}\)
z = $1.37
Cost per kilogram of banana = $1.37
e) Collette share = $136
Half of it on clothes = (1/2) x 136 = $68
(1/5) of her share on books = (1/5) x 136 = 27.20
Balance amount with her = 136 - 27.20 - 68 = $ 40.80
Solve the equation for the letter d: C= (3.14)(d)
Answer:
d = \(\frac{C}{3.14}\)
Step-by-step explanation:
Given
C = 3.14d ( isolate d by dividing both sides by 3.14 )
\(\frac{C}{3.14}\) = d
Light travels 186,282 miles per second. How many miles will light travel in one year? (Use 365 days in a year) This unit ofdistance is called a light-year.
Answer:
5,874,589,152,000 mi.
Step-by-step explanation:
The sum of three times a number and 2 less than 4 times that same number is 15. Which of the followin
equations could be used to find the value of the number, n? Explain how you arrived at your choice.
Answer:
11
Step-by-step explanation:
Three times an unknown number
= 3(n)
Added to
Two less than four times the same unknown number
= 4 - 2(n)
Total
= 3(n) + 4 - 2(n) = 15
= 3n + 4 - 2n = 15
Collect like terms
= 3n - 2n = 15 - 4
n = 11
likert-type scale response choices must be balanced at the ends of the response continuum.
that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.
An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.
balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.
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A restaurant sells a 20-ounce glass of orange juice for $1.50 and a 16-ounce glass for $1.10. What size glass is the better buy
Answer:
The 20-ounce glass of orange juice at $1.50 is a better buy than the 16-ounce glass at $1.10. Paying only 40 cents more for 4 more ounces of juice is a smarter choice.
Step-by-step explanation:
Complete the square
x^2 - 2x - 14 = 0
If the population of the United States is 260 million, the labor force is 130 million, and 120 million workers are employed, the rate of unemployment is:
A) 7.7%.
B) 8.3%.
C) 50%.
D) 92%.
A
7.7%. is the rate of unemployment.
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.Consider your square as being composed of smaller unit squares.The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.According to our question-
Unemployment rate = number of unemployed people / total number of unemployed people * 100
Similarly,
Workforce = Employed + Unemployed
Unemployed = 130 million - 120 million. That's 10 million.
For this reason,
Unemployment rate = 10 / 130 * 100
Unemployment = 7.69% or about 7.7%.
Hence, 7.7%. is the rate of unemployment.
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a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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What difference does it make to your calculations in problem 29 if a dividend of $1.50 is expected in two months?
If the dividend of $1.50 is expected in two months. The European put price is $3.03.
European put priceGiven:
K=50, r=0.1, σ=0.3, and T=0.25
First step is to find the stock price
S0 = 50−1.50e^ -0.1667×0.1
SO=48.52
Second step is to find di and d2
d1=In(48.52/50)+(0.1+0.09/2)0.25/0.3√0.25
d1 = 0.0414
d2=d1-0.3√0.25
d2 = -0.1086
Third step is to calculate European put price
European put price=-50N(0.1086)e^ -0.1×0.25−48.52N(−0.0414)
European put price=50×0.5432e -^0.1×0.25−48.52×0.4835
European put price=$3.03
Therefore If the dividend of $1.50 is expected in two months. The European put price is $3.03.
The complete question is:
Calculate the price of a three-month European put option on a non-dividend-paying stock with a strike price of $50 when the current stock price is $50, the risk-free interest rate is 10% per annum, and the volatility is 30% per annum. What difference does it make to your calculations in problem 29 if a dividend of $1.50 is expected in two months?
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A bond with a coupon rate of 12 percent sells at a yield to
maturity of 14 percent. If the bond matures in 15 years, what is
the Macaulay duration?
The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.
To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.
To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.
In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.
To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.
Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.
By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.
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-2x^3(3x^2-4x+7)
?????
Answer:
\(-6x^5+8x^4-14x^3\)
Step-by-step explanation:
\(-2x^3(3x^2-4x+7)\) Use distributive property
\(-2x^3\) · \(3x^2\) = \(-6x^5\)
\(-2x^3\) · \(-4x\) = \(8x^4\) Product becomes positive because of two negatives
\(-2x^3\) · \(7\) = \(-14x^3\)
Group all of those numbers together (in order)
\(-6x^5+8x^4-14x^3\)
which of the following is not a part of the business cycles that occur in economies over time?
The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.
The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.
The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.
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Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?
Step 1
Simplify the expression.
\(\tan (x)(\tan ^2(x)\text{ +1)}\)Step 2
Find a trigonometric identity that can be used to simplify the expression in step 1
\(\tan ^2(x)+1=sec^2(x)\)Step 3
Get the final answer after substitution.
\(\tan (x)sec^2(x)\)Hence the right answer is option B
Question for the day :
16x - 2 = 30
Find the value of x.
Answer:
x = 2
Step-by-step explanation:
16x - 2 = 30
16x = 30 + 2
16x = 32
x = \(\frac{32}{16}\)
x = 2
Answer:
x = 2
Step-by-step explanation:
Given
16x - 2 = 30 ( add 2 to both sides )
16x = 32 ( divide both sides by 16 )
x = 2
finding the volume of a sphere please help me i’ll give you brainlest
Answer:
The answer is 434.9 cm³.
Step-by-step explanation:
Given that the formula is 4/3×π×r³ so you have to substitute the value of r into the formula :
\(v = \frac{4}{3} \pi {r}^{3} \)
\(let \: r = 4.7\)
\(v = \frac{4}{3} \times \pi \times {4.7}^{3} \)
\(v = 434.9 \: {cm}^{3} \: (1d.p)\)
Step-by-step explanation:
According to the information given and the formula
(4/3)×(3/14)×(4.7×4.7×4.7)=434.67
help someone pls !!!
Answer:
its A
Step-by-step explanation:
What is the solution to this system of equations?
{x+y=6x=y+4
(1, 5)
begin ordered pair 1 comma 5 end ordered pair
(212, 112)
begin ordered pair 21 halves comma 11 halves end ordered pair
(5, 1)
begin ordered pair 5 comma 1 end ordered pair
(112, 12)
The solution to the given system of linear equations is x = 4, y = 20
System of linear equationsFrom the question, we are to determine solution to the given system of equations
The given system of equations is
x+y=6x=y+4
Thus, we can write that
x + y = 6x ----------- (1)
and
6x = y + 4 ------------(2)
Solve the two equations simultaneously
From equation (1)
x + y = 6x
y = 6x - x
y = 5x --------- (3)
Substitute into equation (2)
6x = y + 4
6x = 5x + 4
6x - 5x = 4
x = 4
Substitute the value of x into equation (3)
y = 5x
y = 5(4)
y = 20
Hence, the solution to the given system of linear equations is x = 4, y = 20
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A sports ball has a diameter of 21 cm. Find the volume of the ball.
A 8.5 10-3 M solution of a weak acid is 4.6% dissociated at 25ºC. In a 8.5 10-4 M solution, the percentage of dissociation would be Question 12 options:
< 4.6%
> 4.6%
the same
zero need to know the Ka of the acid to answer this
In a 8.5 x 10⁻⁴ M solution, the percentage of dissociation would be > 4.6%. This is because the concentration of the weak acid is lower, and weak acids tend to dissociate more in dilute solutions.
To answer this question, we can use the relationship between the concentration of the weak acid, its dissociation constant (Ka), and the percentage of dissociation. Since we don't know the Ka of the acid, we cannot directly calculate the percentage of dissociation in the 8.5 x 10^-4 M solution.
However, we can make an assumption that the weak acid behaves similarly in both solutions, since the concentration difference is only by a factor of 10. This means that the percentage of dissociation in the 8.5 x 10^-4 M solution should be similar to that in the 8.5 x 10^-3 M solution.
Therefore, the answer is: the same.
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A company receives an average of 0.8 purchase orders per minute. The company wants to determine the probability of receiving 6 purchase orders in 5 minutes. What value should the company use for the mean to help alculate the probability?
The probability of receiving exactly 6 purchase orders in 5 minutes is 0.104, or about 10.4%.
The mean of the Poisson distribution is λ, which represents the average number of events in a given time period. In this case, the company receives an average of 0.8 purchase orders per minute, so the mean number of purchase orders in 5 minutes would be:
λ = (0.8 orders/min) x (5 min) = 4 orders
Thus, the Poisson distribution for the number of purchase orders in 5 minutes has a mean of 4. To calculate the probability of receiving 6 purchase orders in 5 minutes, we use the Poisson probability formula:
\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)
where X is the random variable representing the number of purchase orders in 5 minutes.
Plugging in the values, we get:
\(P(X = 6) = (e^(-4) * 4^6) / 6! = 0.104\)
Therefore, the probability of receiving exactly 6 purchase orders in 5 minutes is 0.104, or about 10.4%.
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Tell whether the equation has one, zero, or infinitely many solutions. 9(x − 8) + 24 = 9x − 48
Answer:
Infinitely many solutions
Step-by-step explanation:
Hi there!
\(9(x-8) + 24 = 9x - 48\\9x-72 + 24 = 9x - 48\\9x-48 = 9x - 48\)
Because the left side is equal to the right side, there are infinitely many solutions.
I hope this helps!
Round the number to 3
significant figures.
0.2590100
Answer:
0.259
Step-by-step explanation:
There are some rules in determining what numbers are significant figures.
All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.We can determine how many significant figures the number currently has.
The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.
The rounding rules are:
If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.
show your work plz and i will give brainliest
Answer:
B) is false
Explanation:
A triangle canot have 2 abtuse angles and one acute angle.
Answer:
B is false
Step-by-step explanation:
a is true because an equilateral triangle has three acute angles (60 degrees)
c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.
d is true because a right angled triangle can be drawn with one right angle and two acute angles.
b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.
Who sang Will the Circle Be Unbroken with the Nitty Gritty Dirt Band?
The most famous version of the song was recorded by the Nitty Gritty Dirt Band. "Will the Circle Be Unbroken" is a traditional Christian hymn that has been recorded by many artists over the years.
However, the most famous version of the song was recorded by the Nitty Gritty Dirt Band in 1972 as a collaborative project that featured a wide variety of country, bluegrass, and folk musicians, including legends such as Mother Maybelle Carter, Earl Scruggs, and Doc Watson. The three-disc album was a critical and commercial success and helped to popularize traditional country and bluegrass music among a wider audience. The Nitty Gritty Dirt Band's rendition of "Will the Circle Be Unbroken" remains a beloved classic in the history of American music.
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You
have a bag of 50 Jelly Beans. 15 are green. What's the probability
of first pulling out a color other than green, eating it, and then
pulling out a green?
To calculate the probability of first pulling out a color other than green, eating it, and then pulling out a green, we need to consider the number of jelly beans of each color in the bag and the total number of jelly beans.
Total number of jelly beans = 50
Number of green jelly beans = 15
First, let's calculate the probability of pulling out a color other than green on the first try:
Probability of pulling a non-green jelly bean on the first try = (Total non-green jelly beans) / (Total number of jelly beans)
Probability of pulling a non-green jelly bean on the first try = (50 - 15) / 50 = 35 / 50 = 7/10
After eating the first jelly bean, there are now 49 jelly beans in the bag. Since you ate one jelly bean, the number of green jelly beans remains the same, which is 15.
Next, let's calculate the probability of pulling out a green jelly bean on the second try:
Probability of pulling a green jelly bean on the second try = (Number of green jelly beans) / (Total number of jelly beans after eating one)
Probability of pulling a green jelly bean on the second try = 15 / 49
Therefore, the probability of first pulling out a color other than green, eating it, and then pulling out a green is:
(7/10) * (15/49) = 105/490 = 3/14.
So, the probability is 3/14.
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