Elsa purchased a prepaid phone card for $20 . Long distance calls cost 12 cents a minute using this card. Elsa used her card only once to make a long distance call. If the remaining credit on her card is $14.84 , how many minutes did her call last?
Answers
Answer:
4 minutes and 30 seconds
Related Questions
21 is 72% of which number
Answers
Answer:
29.12
Step-by-step explanation:
You would need to set up a proportion to do this...
is actually "x", which oddly enough is the 100%.
we also know that 72% of "x" is 21, hmmm what the heck is "x"?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 21& 72 \end{array} \implies \cfrac{x}{21}~~=~~\cfrac{100}{72} \implies\cfrac{ x }{ 21 } ~~=~~ \cfrac{ 25 }{ 18 } \implies 18x=(21)(25) \\\\\\ x=\cfrac{(21)(25)}{18}\implies x=\cfrac{175}{6}\implies x=29\frac{1}{6}\implies x=29.1\overline{666}\)
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
Answers
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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What is 42/66 written in lowest terms?
Answers
Answer:
7/11 or
7
--
11
Step-by-step explanation:
Hope this helps :)
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
Answers
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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Please help❤️ Write an equation for the line through the points (9,5) and (6, 7) in point-slope form
y = y0 + m(x - x0).
y =_ + _
Answers
Answer:
y = 5 -2/3 ( x-9)
Step-by-step explanation:
point slope form
y = y0 + m(x - x0).
m is the slope
m = (y2-y1)/(x2-x1)
( 7-5)/(6-9)
2/-3
=-2/3
The slope is -2/3
Using the point (9,5)
y = 5 -2/3 ( x-9)
Answer:
\(y=5-\frac{2}{3}(x-9)\)
Step-by-step explanation:
We are given that the line passes through the two points (9, 5) and (6, 7).
And we want to find the equation of the line in point-slope form:
\(y=y_0=m(x-x_0)\)
First, let's find the slope. The slope is given by the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Let's let (9, 5) be (x₁, y₁) and let (6, 7) be (x₂, y₂). Substitute these values into the slope formula:
\(m=\frac{7-5}{6-9}\)
Subtract:
\(m=2/-3\)
Simplify:
\(m=-2/3\)
So, our slope is -2/3.
Note, we can use the point-slope form. Notice that we also need an (x₀, y₀).
We can use either of our two known points. So, let's let (9, 5) be (x₀, y₀).
Substitute 9 for x₀, 5 for y₀, and -2/3 for m yields:
\(y=5-\frac{2}{3}(x-9)\)
And we're done!
solve 3k-81ksquare=0
Answers
Answer:
k=0 or k=1/27
Step-by-step explanation:
3k-81k^2=0
3k(1-27k) =0
3k=0 or 1-27k=0
k=0 or -27k= -1
k= 1/27
5.73 Evaluate the expression for 2 22 2. I will give brainliest
Answers
Answer:
10Step-by-step explanation:
5·x³/x² = 5·x = 5·2 = 10Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
![Solve for length of segment c.11 cm10 cm8.8 cmc = [?] cmIf two segments intersect insideor outside a](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/6JIAngrmaJS5xiD3lMj7AnGQ5XEMOjDN.png)
Answers
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?
Answers
Answer:
4. His classmate's daily allowance is of P100.
5. She used 25% of the sheets of art paper.
Step-by-step explanation:
4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?
An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So
\(0.2x = 20\)
\(x = \frac{20}{0.2}\)
\(x = 100\)
His classmate's daily allowance is of P100.
5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?
She used 6 sheets, of the 24. So
\(P = \frac{6*100}{24} = \frac{100}{4} = 25\)
She used 25% of the sheets of art paper.
Which expression is equival 81 1/3?
Answers
Answer: 3^3 Square root 3
Step-by-step explanation:
Daniel has a bag that contains pineapple chews, apple chews, and watermelon chews. He performs an experiment. Daniel randomly removes a chew from the bag, records the result, and returns the chew to the bag. Daniel performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 21 times.
A apple chew was selected 12 times.
A watermelon chew was selected 18 times.
Based on these results, express the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon as a decimal to the nearest hundredth.
Answers
The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
How to determine the probability?The distribution of the fruits is given as:
Pineapple = 21Apple = 12Watermelon = 18The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:
P = (Apple + Pineapple)/Total
This gives
P = (12 + 21)/(21 + 12 + 18)
Evaluate
P = 0.65
Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65
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Name
Date
- Sarah received a coupon for 15% off the total purchase price at a shoe store. Let p be the
original price of the purchase. Use the expression p-0.15p for the new price of the purchase.
Write an equivalent expression by combining like terms.
Answers
p - 0.15p = p(1 - 0.15)
Simplifying the expression in parentheses, we get:
p(0.85)
Therefore, an equivalent expression that combines like terms is:
0.85p
This represents the new price of the purchase after the 15% discount has been applied.
Which of the following is an example of chemical weathering?
Answers
figure out what n equals in this equation 6n+4=-26
Answers
Answer:
n = -5
Step-by-step explanation:
6n + 4 = -26
6n = -26 - 4
6n = -30
6n/6 = -30/6
n = -5
The area of a rectangle is 112 square inches. If the length of the rectangle is 16 inches, what is the width of the rectangle? Use an equation to solve.
Answers
Answer: 7 inches
Step-by-step explanation:
l x w = a
16 x w = 112
w = 112/16
w = 7
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until the third defective bulb is found. Compute the probability that the third defective bulb is the fifth bulb tested.
Answers
Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
In this problem, the bulbs are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem:
There are 12 bulbs, hence N = 12.3 are defective, hence k = 3.The third defective bulb is the fifth bulb if:
Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.Hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182\)
0.2182 x 1/8 = 0.0273.
0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.
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5 times a certain number plus 2 times that number plus 2 is 16 what is the number
Answers
let the number be x
ATQ
\(\\ \sf\longmapsto 5x+2x+2=16\)
\(\\ \sf\longmapsto (5+2)x+2=16\)
\(\\ \sf\longmapsto 7x+2=16\)
\(\\ \sf\longmapsto 7x=16-2\)
\(\\ \sf\longmapsto 7x=14\)
\(\\ \sf\longmapsto x=\dfrac{14}{7}\)
\(\\ \sf\longmapsto x=2\)
Answer:
The number is
2
Explanation:
Let
n
represent the number.
Translating the given statement into algebraic notation, we have
XXX
5
n
+
2
n
+
2
=
16
Therefore
XXX
7
n
+
2
=
16
XXX
7
n
=
14
XXX
n
=
2
answered by: Alan P.
A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after m minutes is modeled by the function Which graph represents the model?
Answers
The graph of the exponential function that represents the temperature of the pizza after m minutes is given at the end of the answer.
Which model represents the temperature of the pizza?The model that represents the temperature of the pizza m minutes after it is taken out of the oven and placed on the counter is given by:
\(T(m) = 72 + 200e^{-0.0445m}\)
The number e is the Euler number, and the function is the exponential function translated 72 units up, hence the minimum value that the pizza obtains is of 72 degrees Fahrenheit.
Due to the negative exponent, the temperature is decaying over time, but it never gets less than 72 ºF.
The time cannot be negative, hence the domain of the graph is given as follows:
m ≥ 0.
Then, considering this, the graph of the function is given at the end of the answer.
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Answer:
Step-by-step explanation:
a
Which of the following describes the transformations performed on the object shown above?
A.
The object was reflected across the y-axis and shifted -1 unit in the x direction and -7 units in the y direction.
B.
The object was reflected across the y-axis and shifted 1 unit in the x direction and -7 units in the y direction.
C.
The object was reflected across the x-axis and shifted 7 units in the x direction and -5 units in the y direction.
D.
The object was reflected across the x-axis and shifted 9 units in the x direction and -3 units in the y direction.
Answers
Answer:
B is the answer I believe
someone help me on this please
Answers
Answer:
✓ The data for store 1 shows greater variability.
✓ The mean of the data for store 1 is greater than the mean of the data for store 2.
Graphing and Solving Inequalities
m-1<-3
————————➡️
-4y <-20
————————➡️
5+b>1
————————➡️
-18
————————/➡️
There are two arrows on each side. And little marks on the body of the graph. Could not paste graph. Thank you.
Answers
The Solutions for given inequalities are -2, 5, and -4
Inequalities:Inequalities are algebraic expressions in which both sides are not equal to each other. In inequality, we compare two values with signs like less than (<) (or less than or equal to), greater than (>) (or greater than or equal to), or not equal to sign(≠), etc.
Here we have three inequalities
m -1 < -3, - 4y < - 20, and 5 + b > 1
We can solve each equation and can give a graph as given below
m -1 < -3
Add 1 on both sides
=> m - 1 + 1 < -3 + 1
=> m < -2
- 4y < - 20
Divide both sides with - 4 on both sides
=> - 4y/4 < - 20/4
=> -y < - 5
Multiply with -1 on both sides
=> -1(-y) < -5(-1)
=> y < 5
5 + b > 1
Subtract - 5 on both sides
=> 5 + b - 5 > 1 - 5
=> b > -4
Therefore,
The Solutions for given inequalities are -2, 5, and -4
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The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answers
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
Answer this correctly and I will give brainslist + 10 points from question (:
Answers
Answer:
a
Step-by-step explanation:
What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
![What is the meaning of "if [tex]\varphi (x)[/tex] has no parameters [tex]p_{i}[/tex] then the class C](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/yxAwmsaXJBUQhpdRbSM40V2ZzqIoance.png)
Answers
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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The stem-and-leaf plots list the ages of the people in Lee’s study group and in Paul’s study group.
Which statement is NOT correct?
a. Paul’s group has a wider range of ages.
b. The data for Paul’s group has two modes.
c. The median age in both groups is 44 years.
d. The mean age in both groups is between 41 and 42 years.
Answers
The false statement from the stem-and-leaf plot is given as follows:
b. The data for Paul’s group has two modes.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
The mode of a data-set is the data-set that appears the most times in a data-set.
Hence, for Paul's group, the mode is given as follows:
44.
As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.
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You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of %3 or the interest on $100,000 invested for 4 years at an interest rate of 3% compounded . Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
Answers
The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.
To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.
1. Simple Interest:
The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.
Using this formula, we can calculate the interest earned with simple interest:
I = 100,000 * 0.03 * 4
I = $12,000
2. Compound Interest:
The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.
In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:
A = 100,000 * (1 + 0.03/1)^(1*4)
A = 100,000 * (1.03)^4
A = $112,486.12
The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.
The difference between the amounts of interest earned by the two investments is:
$12,486.12 - $12,000 = $486.12.
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how would i anwser this? help pls!
Answers
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
Answers
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
Answers
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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