if Dwayne made 10 hours of long-distance calls at a rate of $0.10 per minute, his bill for that month would be $60. However, if the rate is different, the bill will be different as well.
How to determine how much is his bill for that monthThe cost of long-distance calls can vary depending on the service provider and the country being called. Without that information, it's difficult to give an accurate answer to this question.
Assuming a standard rate of $0.10 per minute for long-distance calls, we can calculate Dwayne's bill as follows:
10 hours = 600 minutes (since there are 60 minutes in an hour)
600 minutes x $0.10 per minute = $60
Therefore, if Dwayne made 10 hours of long-distance calls at a rate of $0.10 per minute, his bill for that month would be $60. However, if the rate is different, the bill will be different as well.
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the scale on a map is 1/4 inch=50 miles The distance between two cities on the map is 6 1/2 inches. what is the actual distance between the two cities
Answer:
the actual distance between the two cities is 1300 miles
Step-by-step explanation:
there is 26 quarters (1/4) in 6 and a half inches
one quarter represents 50 miles so;
50×26=1300
The actual distance between the two cities is 325 miles.
What is Scale factor?A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.
We have,
Scale: 1/4 inch = 50 miles
and, The distance between two cities on the map is 6 1/2 inches or 13/2 inches.
So, the actual distance is
= 13/2 x 50
= 13 x 25
= 325 miles
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uhm help pleaseeee <3
They can buy 20 pumpkins
Answer:
they can buy 20 pumpkin
Step-by-step explanation:
250/12.32=20.29222077922
so 20 pumpkin they can buy
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
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A sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 k. The ballon begins to shrink and shrivel up. Use gas particle motion to explain why.
This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.
What is temperature?Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.
Here,
When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.
According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.
Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.
In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.
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Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2
Answer:
2
Step-by-step explanation:
\( {n}^{ - 3} = \frac{1}{8} \\ \\ {n}^{ - 3} = \frac{1}{ {2}^{3} } \\ \\ {n}^{ - 3} = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\ \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal) \)
Answer:
n = 2
Step-by-step explanation:
\(n^{-3} = \frac{1}{8}\\\\ = \frac{1}{2^{3}}\\\\ = 2^{-3}\\\)
Therefore, n= 2
A number or variable with negative exponent is represented by positive exponent by taking its reciprocal and vice versa
\(a^{-n} = \frac{1}{a^{n}}\)
The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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Find x and the measurement of each angle.
Answer:
x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,
Step-by-step explanation:
The original cost of an item is $68, but you have to pay $76.16.
What is the markup of the item (as a percent)?
Answer:
12%
Step-by-step explanation:
calculator
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped. Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S. Find her average score G in the class in terms of X, Y, W, L, and S.
Step-by-step explanation:
Kaytee's total points are WX + 2S − L. The total number of exams is W − Y + 2. Therefore:
G = (WX + 2S − L) / (X − Y + 2)
The total number of exams is W − Y + 2.
We have given that,
In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped.
Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S.
What is the sum?The sum brings two or more numbers together to make a new total.
We have to determine her average score of G in the class in terms of X, Y, W, L, and S.
Kaytee's total points are WX + 2S − L.
The total number of exams is W − Y + 2.
Therefore:G = (WX + 2S − L) / (X − Y + 2)
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If you made $54000.00 how much do you think your tax refund will be?
Answer:
Step-by-step explanation:
If you make $54,000 a year living in the region of California, USA, you will be taxed $9,450. Your average tax rate is 9.01% and your marginal tax rate is 22%. This marginal tax rate means that your immediate additional income will be taxed at this rate.
5 | 61251 is this true or false?
Step-by-step explanation:
the answer is false because its counting by 5
John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.
Help lol I’m done wit this stuff
Answer:
I think it's 8cm
Step-by-step explanation:
I'm not sure
Maria invested $5000, some at 6% and some at 9%. If she wins $393 annual interest how much is invested in each account.
Ok, so
We could solve this problem using a system of linear equations as follows:
x = amount invested at 6%
y = amount invested at 9%
We are given two numbers in the problem:
$5000 = total money invested in both accounts
$393 = total interest earned in both accounts
Then we could write:
\(\begin{cases}x+y=5000 \\ 0.06x+0.09y=393\end{cases}\)This system can be solved using sustitution:
\(y=5000-x\)Replacing:
\(\begin{gathered} 0.06x+0.09(5000-x)=393 \\ 0.06x+450-0.09x=393 \\ -0.03x=-57 \\ x=1900 \end{gathered}\)And y = 5000 - x, which is 5000 - 1900, and that is 3100.
We obtain that the solution of the system is:
\((x,y)=(1900,3100)\)Therefore, there was invested $3100 in the account at 9% and 1900 in the account at 6%.
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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ALRIGHT HERE IT IS FOR MCKEE
Answer:
1) -16<x
2) 8>x
3) 10≤x
Step-by-step explanation:
1) -16<x
2) 8>x
3) 10≤x
Answer:
question 6 is -16>x
question 7 is 8>x
question 8 10<=x
Find a formula for the linear function depicted in the following graph.
The equation of the line passing through the points (0, 7) and (2, -5) is y = -6x + 7
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
The standard form of a linear equation is:
y = mx + b
where m is the slope(rate of change) and b is the y intercept
As shown in the graph, the line passes through the points (0, 7) and (2, -5). Hence:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-7=\frac{-5-7}{2-0} (x-0)\\\\y=-6x+7\)
The equation of the line is y = -6x + 7
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solve for c. 9+10+6c= -1+8c
Answer:
c = 10
Step-by-step explanation:
9 + 10 +6c = -1 +8c
19 +6c = -1 + 8c
19 + 1+ 6c = -1 +1 + 8c
20 +6c -6c = 8c - 6c
20/2 = 2c/2
10 =c
Which phrase is the same as 5+w?
Answer:
5+w
Step-by-step explanation:
the recommended par stock for the average bar is: the recommended par stock for the average bar is: 3 times the needs of the bar's busiest day 2 times the needs of the bar's typical day 4 times the needs of the bar's typical day 1.5 times the needs of the bar's busiest day
A predicate nominative is a noun or a pronoun which follows the verb and describes the subject.
What is the busiest bar night of the year?Thanksgiving Eve is the biggest bar night of the year. Doctors warn against it for 2021. The night before Thanksgiving, sometimes referred to as "Drinks giving" or "Blackout Wednesday," is typically one of the most crowded bar nights out of the year.In order to design a telephony circuit, trunk, or call center, it is needed to take into account the busiest calling hour (as a "sliding" 60-minute period) in one day, or week, month or year, generally calculated as an average.This period is called the "busy hour" and is used to compute the traffic intensity, in Erlangs, considering that if the circuit is busy 100% of the time during 3600 seconds, it will be cursing 1 Erl of traffic.This traffic can result from 60 calls of 1 min each, 36 calls of 100 sec each, or any combination that have the same outcome of 1 Erl. In order to define, for instance, the number of employees in a call center, a very important parameter is the average time used for each call, adding the queuing time, the true talk time and any other time needed to set up a successful call, i.e., the time that the subscriber stays on the phone after putting the call.To learn more about average bar refer to:
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In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If ∠A=22°, write an equation that you can use to solve for ∠C.
Answer:
22° + m<C = 90°
Step-by-step explanation:
Pre-SolvingWe are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.
We want to write an equation that will help us solve <C.
SolvingRecall that vertical angles are congruent by vertical angles theorem.
This means that <A ≅ <B; it also means that the measure of <B is also 22°.
Also recall that complementary angles add up to 90°.
This means that m<B + m<C = 90°.
Since we deduced that m<B is 22°, we can substitute that value into the equation.
Hence, an equation that can be used to solve for <C is:
22° + m<C = 90°
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is $28. The total cost to rent 3 chairs and 5 tables is $55. What is the cost to rent each chair and each table?
Answer: Each chair is $1.25 and each table is $8.50
Step-by-step explanation:
Let C = cost to rent each chairLet T = cost to rent each table 4C + 8T = 732C + 3T = 28 Multiply the 2nd equation by (-2) and then add the equations together 4C + 8T = 73-4C - 6T = -56 2T = 17T = 17/2 = 8.5 Plug this in to the 1st equation to solve for C 4C + 8(17/2) = 734C + 68 = 734C = 5C = 5/4 = 1.25 So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
How many more third graders picked basketball or baseball than football as their favorite sport?
Answer:
D, 110-70 basketball is 60 , baseball is 50. 60+50 = 110 - 40 [baseball] = 70
Answer:
Step-by-step explanation:
Football was 40
Baseball was 50 & basketball was 60
50+60=110
110-40=70
find an angle between 0 degrees and 360 degrees that is coterminal with -240
The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees
What are Coterminal angles?Two angles in standard position are called coterminal angles if they have the same terminal side.
When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.
Now,
We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240
To do this, we will add 360 degrees to the given angle
That is,
-240° + 360° = 120°
Hence, the angle is 120 degrees.
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Which of the following problems would NOT have a solution? Group of answer choices 10 divided by 2. 10 divided by 5. 10 divided by 0. 0 divided by 10.
10 divided by 0 problem would NOT have a solution.
Given:
a. 10 divided by 2
b. 10 divided by 5
c. 10 divided by 0
d. 0 divided by 10
We know that ,
Integer divided by an integer is an integer
Therefore (a) and (b) will have a proper solution
We also know that ,
Zero divided by anything is Zero
Therefore (d) also have a unique answer that is zero
Now , We know that
Any numeric value divided by Zero tends to infinity .
Hence, 10 divided by 0 problem would NOT have a solution.
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Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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How much miles will the car use with 17 gallons of gas?
Answer:
from the graph we can see that
for 2 gallones - it can travell 70 miles
4 gallones - 140 miles
we will take the first case
2 gallones - 70 miles
17 gallones - ? miles
cross multiply
\( \frac{17 \times 70}{2} \)
= 595 miles
A piggy bank contained $8.50 in quarters, dimes and nickels. There were twice as many quarters as nickels and 5 less quarters as dimes. How many of each kind of coin was in the piggy bank?
There were 21 quarters, 26 dimes, and 10 nickels in the piggy bank.
What is Quarters?Quarters are a type of coin used as currency in many countries, including the United States, Canada, and Mexico. In the United States, quarters are worth 25 cents each and have a diameter of 0.955 inches (24.26 mm). Quarters feature the image of George Washington, the first president of the United States, on the obverse (front) side, and an eagle on the reverse (back) side.
Let's use variables to represent the number of each type of coin. Let:
q be the number of quarters
d be the number of dimes
n be the number of nickels
From the problem statement, we have the following information:
The total value of the coins is $8.50, so we can write:
0.25q + 0.10d + 0.05n = 8.50
There were twice as many quarters as nickels, so:
q = 2n
There were 5 less quarters than dimes, so:
q = d - 5
We can use the third equation to substitute for q in the first two equations:
2n = d - 5
n = (d - 5)/2
q = d - 5
Now we can substitute these expressions for n and q in the first equation:
0.25(d-5) + 0.10d + 0.05((d-5)/2) = 8.50
Simplifying and solving for d:
0.25d - 1.25 + 0.10d + 0.025d - 0.125 = 8.50
0.375d = 9.875
d = 26.333...
Since we can't have a fraction of a coin, we need to round this to the nearest whole number. We also know that q = d - 5 and n = (d-5)/2, so:
d = 26
q = 21
n = 10
Therefore, there were 21 quarters, 26 dimes, and 10 nickels in the piggy bank.
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