Answer:
X is 108, infinite
Step-by-step explanation:
5. The ratio of green apples to red apples is 3 to 7. Which combination of green apples to red apples could be used?
Rationalize the denominator and simplify 2√x-3 √y / √x+ √y
2√x−3√xyx+√y is your answer.
Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 32%
Answer:
selling price: $98.48
markdown price: $31.52
explination
find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price
Answer:
31$
Step-by-step explanation:
What is the ratio of 60:48
Answer:
5:4
Step-by-step explanation:
60/48
=> Dividing numerator and denominator by 12,
=> 5/4 = 5:4
Answer:
\(\pmb{\sf{5:4 }}\)Step-by-step explanation:
The ratio of 60:48
\({\sf{\dfrac{60}{48} }}\)\({\sf{\dfrac{10}{8} }}\)\({\sf{\dfrac{5}{4}}}\)\({\sf{5:4 }}\)At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. How much would the sales tax be on a $88 meal?
I NEES HELP STATISTICS
60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answer:
800 books
problem solving steps:
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
Given f(x) = 3 and g(x) = cos(x). What is lim [F(x) - g(x)]?
x = -TT
2
4
DNE
Answer:
4
Step-by-step explanation:
\(\lim_{n \to \ -\pi } (f(x) - g(x))\\\\ = \lim_{n \to \ -\pi } (3 - cos x)\\\\ = 3 - cos( - \pi) = 3 - cos(\pi)\\\\ = 3 - (-1) = 3 + 1 = 4\)
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
Use the variables a and y to represent the number of student and adult tickets sold, respectively.
Then write the following system of inequalities -
a ≥ 10 (they must sell a minimum of 10 student tickets)
y ≥ 55 (they must sell at least 55 adult tickets)
7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)
The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.
To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.
Alternatively, solve the system of inequalities using algebra.
First, simplify the third inequality by subtracting 7a from both sides -
10y ≥ 690 - 7a
Then, divide both sides by 10 -
y ≥ (690 - 7a)/10
This inequality represents the revenue constraint in terms of the number of student tickets sold.
Now combine the revenue constraint with the other two constraints -
a ≥ 10
y ≥ 55
y ≥ (690 - 7a)/10
Use substitution to solve for a in terms of y -
y ≥ (690 - 7a)/10
10y ≥ 690 - 7a
7a ≥ 690 - 10y
a ≥ (690 - 10y)/7
To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -
(690 - 10y)/7 ≥ 10
y ≥ 55
These inequalities can be simplified -
690 - 10y ≥ 70
y ≥ 55
The first inequality can be solved for y -
-10y ≥ -620
y ≤ 62
Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -
55 ≤ y ≤ 62
Now use the expression for a in terms of y to find the corresponding values of a -
a = (690 - 10y)/7
For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -
a ≥ 10
y ≥ 55
7a + 10y ≥ 690
For example, when y = 55 -
a = (690 - 10(55))/7 = 20
7a + 10y = 7(20) + 10(55) = 690
Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.
To learn more about inequality from the given link
https://brainly.com/question/11234618
#SPJ1
dean is going to deliver some goods. he charges £7.00 an hour and 40p per mile for delivery.
he writes down his mileage before and after he has made his journey. this journey takes 2h and 45minutes.
how much does he charge to deliver these goods?
Answer:
See below
Step-by-step explanation:
Time charge = 2.75 hr * £7.00/hr = £ 1`9.25
Mileage charge = ( 25423 - 25263) mi * 40p / mile = 6400 p
(edited: forgot to multiply by 40p)
Now add the two charges together : 19 + (.25 * 240) + 6400/240 =
£ 45.92
( I think <===if I correctly did the monetary conversion between pence and pounds! <=== I used 240 p = 1£ )
Step-by-step explanation:
what we were not told is, if he charges a full hour for a fraction of an hour, or only a corresponding fraction of his hourly rate.
I assume the first : charging a full hour for any fraction of an hour spent.
it took him 2h and 45 minutes, so that is 3 hours charged.
and he was driving
25423 - 25263 miles = 160 miles
so, he charges
3×7 + 160×0.40 = 21 + 64 = £85
if he charges also fractions of his hourly rate, then his hourly charge would be
2 3/4 × 7 = (2×4 + 3)/4 × 7 = 11×7/4 = 77/4 = £19.25
in total that would be
19.25 + 64 = £83.25
On a coordinate plane, point A is 4 units down. Point B is 8 units to the left and 7 units down.
Which statements are true about the locations of points A and B? Select all that apply.
Point A is at (0, –2).
Point A is at (0, –4).
Point A is at (–4, 0).
Point B is at (–4, –3).
Point B is at (–8, –6).
Point B is at (–8, –7).
Answer:
Point A is at (0, –4).
Point B is at (–8, –7).
Step-by-step explanation:
point A is 4 units down : y = –4
Point B is 8 units to the left : x = –8
and 7 units down: y = –7
A : (0, –4)
B : ( –8, –7)
-5x^2=-500 what is the answer
Answer:
x = ± 10
Step-by-step explanation:
- 5x² = - 500 ( divide both sides by - 5 )
x² = 100 ( take square root of both sides )
x = ± \(\sqrt{100}\) = ± 10
That is x = - 10 or x = 10
A lighting designer created a program for the opening of a stage show. When the show starts, 10 lights are on. Every 30 seconds, 1 more light comes on. If t is time in minutes and L is the number of lights that are on, which function best models the number of lights that are on after t minutes of the stage shows?
A. L= 1/2t+10
B. L=2t+10
C. L=30t+10
D. L=10t+1/2
E. L=10t+30
I really need your help!!!
The number of lights L that are on after t minutes of the stage shows is,
A. L = (1/2)t + 10.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, When the show starts, 10 lights are on which is a constant in out function.
Every 30 seconds or (1/2) a minute 1 more light comes on.
∴ The function best models the number of lights that are on after t minutes of the stage shows is,
L = (1/2)t + 10.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ1
The following is a function, true or false?
It is TRUE that the given image represents the function.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Initially, functions represented the idealized relationship between two changing quantities.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
So, the given image represents a function and it is a kind of many-to-one function.
Therefore, it is TRUE that the given image represents the function.
Know more about functions here:
https://brainly.com/question/11624077
#SPJ1
Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)
Answer:
A: (-5,2)
Step-by-step explanation:
algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula
what is the answer to 5x-7=-10x+8
Answer:
x=1
Step-by-step explanation:
Subtract** the 8 to both sides and subtracting 5x from both sides. And then dividing by 15 from both sides.
Find cos0, where 0 is the angle shown. Give an exact value, not a decimal approximation. (listing BRAINLEST)
Step-by-step explanation:
everything can be found in the picture
A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?
Answer:
a) 16.8 hours.
b) 0.86 hours squared.
c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
d) 0.8051 = 80.51% probability that Z is greater than 16
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.
In this question:
X1: Mean 8.6, standard deviation 0.1
X2: Mean 8.4, standard deviation 0.9
X3: Mean 0.2, standard deviation 0.2
Z = X1 + X2 - X3.
Mean:
\(\mu = 8.6 + 8.4 - 0.2 = 16.8\)
Variance:
\(\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86\)
Standard deviation:
\(\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274\)
A) What is the expected value of Z, the total time that the help desk has an employee present?
\(\mu = 16.8\)
So 16.8 hours.
B) What is the variance of Z?
\(\sigma = 0.86\)
So 0.86 hours squared.
C) What is the probability that Z is between 15.9 and 16.1?
This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So
X = 16.1
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{16.1 - 16.8}{0.9274}\)
\(Z = -0.75\)
\(Z = -0.75\) has a pvalue of 0.2266
X = 15.9
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{15.9 - 16.8}{0.9274}\)
\(Z = -0.97\)
\(Z = -0.97\) has a pvalue of 0.1660
0.2266 - 0.1660 = 0.0606
0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
D) What is the probability that Z is greater than 16?
This is 1 subtracted by the pvalue of Z when X = 16. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{16 - 16.8}{0.9274}\)
\(Z = -0.86\)
\(Z = -0.86\) has a pvalue of 0.1949
1 - 0.1949 = 0.8051
0.8051 = 80.51% probability that Z is greater than 16
What's the slope of a line that passes through (0,-4) and (0,-2)
Answer:
Undefined.
Step-by-step explanation:
Need help on this question pls help!!!!!!!
What the meaning of statement this?
This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.
The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:
∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))
The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.
The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.
The statement can be interpreted as follows:
"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."
In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.
It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.
For more such questions on subset
https://brainly.com/question/13458417
#SPJ8
find the sum or difference
(2/5 + 1/5) - 3/10=
Answer:
3/10
Step-by-step explanation:
2/5 + 1/5 = 3/5, which gets changed to 6/10, amd 6/10 - 3/10 = 3/10
I need help solving this. Help!!!!!
Answer:
48
Step-by-step explanation:
MPQ + QPN = MPN
9x-6 + 5x+7 = 85
Combine like terms
14x+1 = 85
Subtract 1 from each side
14x+1-1 = 85-1
14x = 84
Divide by 14
14x/14 = 84/4
x=6
We want MPQ
MPW = 9x-6 = 9*6 -6 = 54-6 =48
5/5 _1 is it greater lessor or equal
Answer:
hi
Step-by-step explanation:
it is equal because 5/5 is 1
in a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. however, 89% of the students believe that five minutes is not enough time for students to change classes. let p hat subscript upper f and p hat subscript s be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat subscript upper f baseline minus p hat subscript s ?
The difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.
What is the standard deviation?A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a broader range.
The standard deviation is a measure of variance or dispersion in statistics.
So, the sampling distribution's standard deviation is calculated as follows:
\(\begin{aligned}& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=\sqrt{\frac{0.37 \times(1-0.37)}{28}+\frac{0.89 \times(1-0.89)}{100}} \\& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=0.096\end{aligned}\)
The actual proportional difference between those who believe five minutes is not enough time for pupils to switch courses and those who believe this is generally 0.096.
Therefore, the difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.
Know more about standard deviation here:
https://brainly.com/question/475676
#SPJ4
Correct question:
n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?
What is the probability that either event will occur?
A
30
8
B
7
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
The probability that either event will occur is 0.33
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 8Event B = 7Other Events = 30Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 8 + 7 + 30
Evaluate
Total = 45
So, we have
P(A) = 8/45
P(B) = 7/45
For either events, we have
P(A or B) = 8/45 + 7/45
P(A or B) = 15/45
Evaluate
P(A or B) = 0.33
Hence, the probability that either event will occur is 0.33
Read more about probability at
brainly.com/question/251701
#SPJ1
Help PLSSS I will give brainlyest I suck at math this should be easy
Answer:
36
Step-by-step explanation:
Least Common Multiple of 9 and 12
Factor each into prime factor
9 = 3 * 3
12 = 2 * 2 * 3
LCM is the greatest number of different prime factors from each
LCM = 3 * 3 * 2 * 2
LCM = 36
Answer:
36 hotdogs
Step-by-step explanation:
36 ÷ 9 = 4
36 ÷ 12 = 3
Hope this helps!
-kiniwih426
At a hot dog stand they serve regular and footlong
Answer:
i need more info? it doesnt seem to make sense with just that..
Step-by-step explanation:
a. Find x. The figure is not drawn to scale. b. Is the triangle equilateral, isosceles, or scalene? Explain.
*
0 points
Captionless Image
Answer: Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So,
8x-10 =6x
8x-6x = 10
2x =10
x= 5.
Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for.
ASAP The vertices of a rectangle are plotted in the image shown.
A graph with the x-axis and y-axis labeled and starting at negative 8, with tick marks every one unit up to positive 8. There are four points plotted at negative 4, 4, then 3, 4, then negative 4, negative 3, and at 3, negative 3.
What is the perimeter of the rectangle created by the points?
49 units
56 units
14 units
28 units
The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.
To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.
Let's calculate the length of each side:
Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.
Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.
Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.
Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.
Now, let's sum up the lengths of all four sides:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
Perimeter = 7 + 7 + 7 + 7
Perimeter = 28 units
Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.
For more such question on perimeter. visit :
https://brainly.com/question/397857
#SPJ8