Answer: 16 bags
Step-by-step explanation: So first we do 6/1 divided by 3/1 = 2. So now we know that 2 is 1/3 of 6. Now, we have to do 6 - 2 since he used 1/3 in a recipe, so 6 - 2 = 4. The we divide 4 by 1/4. 4/1 divided by 1/4 = 16.
Your revenue (in dollars) for selling x hamburgers is given by f(x) = 5x and your profit is $20 less than 70% of the revenue. What is your profit for 24 sales?
The profit for 24 sales is $64.
The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.
The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.
To find the revenue for 24 sales, we substitute x = 24 into the revenue function:
Revenue = f(24)
= 5 × 24
= 120 dollars
Now, let's calculate the profit.
The profit is $20 less than 70% of the revenue.
We can express this mathematically as:
Profit = 0.7 × Revenue - $20
Substituting the value of Revenue we calculated earlier:
Profit = 0.7 × 120 - $20
= 84 - $20
= $64
We must first compute the revenue for 24 sales before calculating the profit based on the available data.
The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.
We add x = 24 to the revenue function to get the revenue for 24 sales:
f(24) = 5 x 24 = 120 dollars is the revenue.
Let's now determine the profit.
The profit is $20 below the revenue's 70%.
This may be written mathematically as:
Revenue - $20 x Profit = 0.7
Substituting the earlier determined figure of Revenue:
Earnings = 0.7 x 120 - $20 = 84 - $20 = $64
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Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \
Answer:
-17/12
Step-by-step explanation:
║5/6 - 7/12║- ║5/3║
= ║10/12 - 7/12║ - ║5/3║
= ║3/12║- ║5/3║
= 3/12 - 5/3
= 3/12 - 20/12
= -17/12
The graph shows the mass of the bucket containing liquid depends on the volume of liquid in the bucket. Use the graph to find the range of the function.
The range of the function is determined as 1 ≤ M ≤ 6.5 kg.
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.
Also we can defined a domain of a function as all the possible values that go into a function.
From the graph the range of the function of the mass of the bucket is calculated as follows;
The minimum value of the mass of the bucket = 1
The maximum value of the mass of the bucket = 6.5 kg
The range of the function (mass, M of the bucket) = {1, 2, 3, 4, 5, 6.5 kg}
1 ≤ M ≤ 6.5 kg
Thus, the range of the function includes numbers ranging from 1 to 6.5 kg. That is {1, 2, 3, 4, 5, 6.5 kg}.
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Cos pie divided by 12 in surd form
Answer:
¼(√6 + √2)
Step-by-step explanation:
We want to find cos (π/12) in surd form.
Now, cos (π/12) can be expressed as;
cos [(π/4) - (π/6)]
Now, from trig derivations we know that;
Cos (A - B) = CosACosB + sinAsinB
Thus;
cos [(π/4) - (π/6)] = cos(π/4)Cos(π/6) + sin(π/4)sin(π/6)
Now, in surd form;
cos(π/4) = sin(π/4) = (√2)/2
Cos(π/6) = (√3)/2
sin(π/6) = 1/2
Thus, Plugging in relevant values to get;
cos(π/4)Cos(π/6) + sin(π/4)sin(π/6) = ((√2)/2 × (√3)/2) + ((√2)/2 × 1/2)
This gives;
((√6)/4) + ((√2)/4) = ¼(√6 + √2)
Cuantas Escuelas de administración hay ?
Hannah worked 26 of the math problem for the math competition. Van worked 35 of the math problem. How many math problem did they work together
Answer:
61
Step-by-step explanation:
26+35=61
Answer:
61
Step-by-step explanation:
26+35=61
Julia has a role in the school play. She recorded the amount of time she practiced her lines each day this week in the table below. On Tuesday, she practiced 2/3 of the time that she practiced on Wednesday. She practiced 5/6 hours on Wednesday.
Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:
\(\frac{5}{9}\)
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:
\(n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}\).
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value of 6 in 2,016?
Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.
Given, a number 2,016
we have to find the place and face value of 6 in the given number 2,016.
So, the Place value of 6 in the given number is ones.
Ones is the place value of the digit 6 in the number 2,016
Also, the Face value of 6 in the given number is 6.
6 is the face value of the digit 6 in the number 2,016
Hence, Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.
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when 30 is subtracted from 14 times of a number the result is 20 more than 4 times that number what is the number
Answer:
number is 5
Step-by-step explanation:
let the number be n, then
30 subtracted from 14 times the number is
14n - 30
the result is 20 more than 4 times the number, that is
4n + 20
the equation is then
14n - 30 = 4n + 20 ( subtract 4n from both sides )
10n - 30 = 20 ( add 30 to both sides )
10n = 50 ( divide both sides by 10 )
n = 5
the number is then 5
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
Calculate the constant of proportionality, k, for the given table.
Answer:
k = y/x
Step-by-step explanation:
1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality
Which type of parent function is f(x) = |x|?
O A. Cube root
B. Square root
C. Linear
D. Absolute value
Answer:
D. Absolute value
Step-by-step explanation:
There are absolute value bars around x, so the function is absolute value.
Hope this helps...have a great day ^^
Hannah would like to make an investment that will turn 8000 dollars into 33000 dollars in 7 years. What quarterly rate of interest, compounded four times per year, must she receive to reach her goal?
Answer:
20.76%
Step-by-step explanation:
\(33000=8000(1+\frac{i}{4})^{4*7}\\4.125=(1+\frac{i}{4})^{28}\\\sqrt[28]{4.125}=1+\frac{i}{4} \\i= .207648169\)
which rounds to 20.76%
Answer:
About 0.2076 or 20.76%.
Step-by-step explanation:
Recall that compound interest is given by the formula:
\(\displaystyle A=P\left(1+\frac{r}{n}\right)^{nt}\)
Where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is applied per year, and t is the number of years.
Since Hannah wants to turn an $8,000 investment into $33,000 in seven years compounded quarterly, we want to solve for r given that P = 8000, A = 33000, n = 4, and t = 7. Substitute:
\(\displaystyle \left(33000\right)=\left(8000\right)\left(1+\frac{r}{4}\right)^{(4)(7)}\)
Simplify and divide both sides by 8000:
\(\displaystyle \frac{33}{8}=\left(1+\frac{r}{4}\right)^{28}\)
Raise both sides to the 1/28th power:
\(\displaystyle \left(\frac{33}{8}\right)^{{}^{1}\! / \! {}_{28}}= 1+\frac{r}{4}\)
Solve for r. Hence:
\(\displaystyle r= 4\left(\left(\frac{33}{8}\right)^{{}^{1}\! / \! {}_{28}}-1\right)\)
Use a calculator. Hence:
\(r=0.2076...\approx 0.2076\)
So, the quarterly rate of interest must be 0.2076, or about 20.76%.
It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.
Answer: $8.75 for 250 vitamins.
Step-by-step explanation:
To find how much each vitamin costs we can divide $5.25 by 150.
5.25/150 = 0.035. So each vitamin is equal to $0.035.
We can then multiply the cost of 1 vitamin by 250.
0.035 x 250 = 8.75 or $8.75.
We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.
y = 0.035x
So the equation above states that the total cost, y, is the amount of vitamins that are bought.
Plz help ASAP I BEEN ASKING SO MANY TIME BUT NOBODY HELP ME HELPP. Plz i been on this for 3 hours
Answer:
b, d, and e
Step-by-step explanation:
those are the three answers
Answer:
I would say b d and e to
Step-by-step explanation:
hope that helps
A shirt with a price of $24 was on sale for 30% off its original price what was the price of the shirt after the discount
Answer:
$16.8 (not sure)
Step-by-step explanation:
$24×30%
= 7.2
initial price - $7.2
= $16.8
Simplify \sqrt[3]{135^{a13}}
The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³
How to evaluate the radical expressionFrom the question, we have the following parameters that can be used in our computation:
A radical expression
The radical expression is given as
\sqrt[3]{135^{a13}}
Represent the expression properly
So, we have the following representation
∛135a¹³
Apply the exponent rule of indices
This gives
∛135a¹³ = (135a¹³)¹/³
135 and a¹³ are not perfect cube root expressions
This means that the expression cannot be further simplified
Hence, the solution is (135a¹³)¹/³
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5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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how to you solve 2/5g = 3/5
Answer: = 3 /2
Step-by-step explanation:
The equation a(s) = 37.5s - 1.5s2 models the function
represented in the table. Fill in the blank to complete the
restricted domain of the function. D = {0 ≤s ≤
The restricted domain of the function is 0≤s≤25
The equation is a(s) = 37.5s - 1.5s² models the function represented in the table
a(s) = s(37.5 - 1.5s)
The critical points are s=0 or
37.5 - 1.5s
37.5 = 1.5s
s=25
As area can not be negative, the area should be positive
s< 0 and s>25
Therefore, restricted domain is 0≤s≤25
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Evelyn is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Evelyn's test score (out of 20) if she
got 3 questions wrong? What would be her score if she got x questions wrong?
Answer:
\(Points = 17\ Points\)
\(Points = (20 - x)\ points\)
Step-by-step explanation:
Given
\(Questions = 20\)
\(Points = 1\)
Solving (a): 3 questions wrong
First, we need to determine the total possible points
\(Total = Questions * Points\)
\(Total = 20 * 1\ point\)
\(Total = 20\ points\) --- (1)
Next, is to determine the points of 3 questions
\(3\ Questions = 3 * 1\ Point\)
\(3\ Questions = 3\ Points\) --- (2)
Subtract (2) from (1)
\(Points = 20 - 3\)
\(Points = 17\ Points\)
Her test score is 17 points
Solving (b): x questions wrong
\(x\ questions = x * 1\ point\)
\(x\ questions = x\ points\) --- (3)
Subtract (3) from (1)
\(Points = (20 - x)\ points\)
Her points would be 20 - x points
An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of calls each were monitored under normal conditions. The center can be thought of as being in control when these samples were taken. The number of calls in each sample of not resulting in a satisfactory resolution for the customer is as follows:
4 5 3 2 3 3 4 6 4 7
Required:
a. What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control?
b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls.
Answer:
A) p = 0.041
B) UCL = 0.1004
LCL = 0
Step-by-step explanation:
We are told that Ten random samples of calls each were monitored .
Thus; n_x = 10
We are told that each sample has 100 calls. Thus; n = 100
A) We are given the number of calls in each sample not resulting in a satisfactory resolution for the customers as;
4 5 3 2 3 3 4 6 4 7
Thus, sum of this is;
Σx = 4 + 5 + 3 + 2 + 3 + 3 + 4 + 6 + 4 + 7
Σx = 41
proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control is given by;
p = Σx/(n_x•n)
p = 41/(10 × 100)
p = 41/1000
p = 0.041
B) let's first find the standard deviation.
It's given by the formula;
σ = √(p(1 - p)/n)
σ = √(0.041(1 - 0.041)/100)
σ = 0.0198
Formula for Upper control limit(UCL) and Lower control limit(LCL) are given as;
UCL = p + 3σ
LCL = p - 3σ
Thus;
UCL = 0.041 + 3(0.0198)
UCL = 0.1004
LCL = 0.041 - 3(0.0198)
LCL = -0.0184
Rule is that when LCL is negative, we adopt LCL = 0.
Thus;
UCL = 0.1004
LCL = 0
If y varies directly as x, and y = 8 when x = 4, find y when x = 24.
The value of y is 48
How to calculate the value of y in the variation ?y= kx
let's solve for k which is the constant
y= 8 , x= 4
k= 8/4
k= 2
Next is to calculate the value of y when x is 24
y = 2 × 24
y= 48
Hence the value of y is 48
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2. Abigail and Curtis Siebert: $270,000 mortgage at 7% for 20 years.
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1). Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.
To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.
The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.
Now, we can substitute the values into the formula:
M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).
Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
11 of 3011 of 30 Questions
Question
A baker makes peanut butter cookies and chocolate chip cookies.
She needs 2 cups of flour and 34
cup of butter to make one batch of peanut butter cookies.
She needs 3 cups of flour and 1 cup of butter to make one batch of chocolate chip cookies.
If the baker has 26 cups of flour and 9 cups of butter, how many batches of each type of cookie can she make?
The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.
Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."
From the given information, we can set up the following system of equations:
For the flour:
2x + 3y = 26
For the butter:
34x + y = 9
To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:
Multiply the first equation by 17 (to make the coefficients of x in both equations the same):
34x + 51y = 442
Now we have the system of equations:
34x + y = 9
34x + 51y = 442
Subtract the first equation from the second equation:
34x + 51y - (34x + y) = 442 - 9
50y = 433
Divide both sides by 50:
y = 433/50
Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.
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1.1 Define the basic charge in the given context.
The basic charge refers to a fixed fee or cost that is charged for a service or utility regardless of the actual usage or consumption.
In the given context, the term "basic charge" refers to a fixed fee or cost that is charged for a particular service or utility regardless of the actual usage or consumption.
It is a standard or minimum charge that is applied uniformly to all customers or users, typically to cover the basic infrastructure or administrative costs associated with providing the service.
The basic charge is often separate from any variable charges based on usage or additional services.
It is a recurring fee that customers are required to pay regardless of their specific usage level.
The purpose of the basic charge is to ensure a baseline revenue for the service provider and to contribute to the maintenance and operational costs of the service infrastructure.
It provides a consistent source of income and helps to distribute the costs among all customers fairly.
The basic charge is usually set at a fixed amount or a predetermined rate and may vary depending on the type of service or utility being provided, such as electricity, water, internet, or telecommunications.
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The complete question may be like: Define the basic unit of currency in the United States and explain its significance in the context
Peter has collected data to find that the finishing times for cyclists in a race has a normal distribution. Based on the Empirical Rule, what is the probability that a randomly selected race participant had a finishing time of greater than 171 minutes if the mean is 156 minutes and the standard deviation is 15 minutes
Answer:
if you remember the bell curve 32 32 13.5 13.5 2.35 2.35 and .15 put the mean in the middle of the bell curve we find that 13.5 + 2.35 + .15 so
16% is your probablility
your original purchase price was $825.00 plud 7% sales tax. You enter into an agreement where the interest (12.5% APR) is waived for the first 12 months provided you make the required monthly payments; otherwise the interest is accrued from the date of purchase. you miss the first payment due date. the late fee $35. How much is the interest?
If the interest is accrued from the date of purchase. you miss the first payment due date. the late fee $35. The interest is $9.20.
How to find the interest?Monthly interest rate =12.5% / 12
Monthly interest rate = 1.0417%
Total amount applied for credit= $825+ ($825 × 7%)
Total amount applied for credit =$882.75
Interest = $882.75 x 1.0417%
Interest =$9.19
Interest = $9.20 (Approximately)
Therefore the interest is $9.20.
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