A cell phone plan costs $23.70 per month for 500 minutes of talk time. It costs an additional $0.07 per minute for each minute over 500 minutes.
To get e-mail access, it costs 10% of the price for 500 minutes of talk time.
Your bill, which includes e-mail, is the same each month for 8 months. The total cost for all 8 months is $253.92. Write and solve an equation to find the number of minutes of talk time you use each month
Answers
Therefore, the number of minutes of talk time used each month is 581.
What is minute?In terms of time measurement, a minute is a unit of time equal to 60 seconds. It is one-sixtieth of an hour and one-third of an hour. The word "minute" comes from the Latin word "minutes," meaning "small" or "minute."
Minutes are commonly used in everyday life to measure short durations of time, such as the length of a phone call or the time it takes to boil an egg. They are also used in scientific fields to measure very small-time intervals, such as in nuclear physics or astronomy. Additionally, minutes are often used in meetings and official proceedings to record the details of what was discussed and decided.
Let's first calculate the cost of 500 minutes of talk time, which is $23.70.
To get email access, it costs 10% of the price for 500 minutes of talk time, which is 0.1 x $23.70 = $2.37.
So the total cost per month is $23.70 + $2.37 = $26.07 for 500 minutes of talk time and email access.
For each additional minute over 500, it costs $0.07. Let's say you use x minutes of talk time per month, where x is greater than 500.
Then the cost for talk time would be\($23.70 + ($0.07)(x - 500).\)
The total cost per month, including email access, would be \($2.37 + $23.70 + ($0.07)(x - 500) = $26.07 + ($0.07)(x - 500).\)
Since the bill is the same each month for 8 months, the total cost for 8 months is\($26.07(8) + ($0.07)(x - 500)(8) = $208.56 + ($0.07)(x - 500)(8) = $253.92.\)
Simplifying, we get:
\(($0.07)(x - 500)(8) = $253.92 - $208.56\)
\(($0.07)(x - 500)(8) = $45.36\)
Dividing both sides by 0.56:
\((x - 500)(8) = 648\)
\(x - 500 = 81\)
\(x = 581\)
Therefore, the number of minutes of talk time used each month is 581.
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Related Questions
In the diagram, AITP - ANGO. Find the values of
x and y.
y =
X=
Answers
Answer:
x = 25, y = 9
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, thus
∠ O = ∠ P , substitute values
6y - 14 = 40 ( add 14 to both sides )
6y = 54 ( divide both sides by 6 )
y = 9
and
NG = IT , that is
x - 2y = 7 ( substitute y = 9 into the equation )
x - 2(9) = 7
x - 18 = 7 ( add 18 to both sides )
x = 25
Jack and Jill went up a hill 8 miles to fetch a pail of water. Jack fell down 5 miles and broke his crown and Jill came
tumbling after. Write an expression using absolute value to model Jacks total distance traveled.
Answers
Answer:
13 miles
Step-by-step explanation:
he traveled 8 miles up hill then fell down 5 miles so in total he has traveled 13 miles
ASAP NEDDDD HELPPPPPP
Answers
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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HELP ME ON THIS QUESTION 10 POINTS PLZ
Answers
Answer:
0.5 or 1/2
Step-by-step explanation:
-1+3[(10-12)^3÷(-16)]
(10-12)^3÷(-16)
(-2)^3=-8
-8÷(-16)=0.5
Please help me I need help with algebra 2
Answers
Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:
p(x) = (x + 1) q(x)
for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:
p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0
So,
0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c
= -5 + 7 - 2 + 3 + c
= c = 3
So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Answers
Determine if the given sides form a triangle.
3.3 m, 1.6 m, 0.2 m
Select the correct choice below, and fill in the answer box
to complete your choice.
(Type an integer or a decimal.)
A. Yes, because the sum of the lengths of the two
shorter sides is m, which is greater than the
length of the third side.
B. No, because the sum of the lengths of the two
shorter sides is m, which is less than the
length of the third side.
C. No, because the sum of the lengths of the two
shorter sides is
m, which is equal to the length
of the third side.
Answers
Answer:
B
Step-by-step explanation:
To determine if the given sides form a triangle, we need to check if the sum of the two smaller sides is greater than the largest side.
Let's arrange the sides in order from smallest to largest:
0.2 m, 1.6 m, 3.3 m
The sum of the two smaller sides is:
0.2 m + 1.6 m = 1.8 m
This is less than the largest side, which is 3.3 m.
Therefore, the given sides do not form a triangle.
find the approximate value of 2.49 and 2.98
Answers
Answer:
2.00 and 3.00
Step-by-step explanation:
2.49=2.00
why 4 is less than 5 so it turns to zero
and
2.98=3.00 because 9 is greater than 5 so it transfer to 1
For a given arithmetic sequence, the 75th term, a75, is equal to 342, and the 4th term, 24, is equal to - 13.
nd
Find the value of the 32
term, 232
Answers
Answer:
The 32th term is 127.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same. The general equation for an arithmetic sequence is given by:
\(a_n = a_1 + (n-1)d\)
In which d is the common difference.
It can also be written as:
\(a_n = a_m + (n - m)d\)
75th term is equal to 342, and the 4th term, 24, is equal to - 13.
This means that \(a_4 = -13, a_75 = 342\). We use this to find d. So
\(a_{75} = a_4 + (75 - 4)d\)
\(342 = -13 + 71d\)
\(71d = 355\)
\(d = \frac{355}{71}\)
\(d = 5\)
Find the value of the 32th term:
\(a_n = a_m + (n - m)d\)
\(a_{32} = a_{4} + (32 - 4)d\)
\(a_{32} = -13 + 28(5) = -13 + 140 = 127\)
The 32th term is 127.
Wendy purchased 9 pizzas for x dollars. She spent a total of
$85.50. Which equation expresses how much Wendy spent on pizza? *
Answers
Answer:
x = $9.50
Step-by-step explanation:
85.50 / 9 = 9.5 sooo..
hope this helped!
nth term for 300,250,200
Answers
The nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have an arithmetic sequence:
300,250,200
The first term a = 300
Common difference d = 250-300 = -50
nth term:
A(n) = a + (n-1)d
A(n) = 300 + (n-1)(-50)
A(n) = 300 -50n + 50
A(n) = 350—50n
Thus, the nth term of the arithmetic sequence 300,250,200 is 350-50n if the common ratio is -50
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on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?
Answers
Answer: 5km
Step-by-step explanation: 2cm=1 km
10cm divided by 2 is 5km
if the height of your mom is 3'2 and her width is 15 feet and weight is 268.99 tons, how many elephants equal her weight
Answers
Evaluate the function.
f(x) = -x^2 + x + 14
Find f(2)
Answers
f=-1/2x^2+1/2x+7
-x^2 + x + 14
-(2)^2 + 2 + 14
-4 + 2 + 14
Combine like terms
12
Answer:
12
“Ship to Shore” rents paddleboats for a fee of $10 plus $5 per hour that the boat is rented. Find the total cost for renting the boat for x amount of hours.
Questions: 1) What is the dependent variable (y)? 2) What is the independent variable (x)? 3) What is the equation that shows the relationship between x and y?
Answers
Answer:
Step-by-step explanation:
The dependent variable (y) is the total cost for renting the paddleboat.
The independent variable (x) is the number of hours that the paddleboat is rented for.
The equation that shows the relationship between x and y is:
y = 5x + 10
This equation represents a linear relationship where the slope (or rate of change) is $5 per hour, and the y-intercept is $10 (the cost for renting the boat for 0 hours). The term "5x" represents the additional cost for each hour rented, and the constant term "10" represents the initial cost of renting the paddleboat. To find the total cost of renting the boat for a specific number of hours (x), we can substitute that value of x into the equation and solve for y.
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Answers
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
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\((15+23)+7=15+(_______+7)\)
Answers
the null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero T/F
Answers
True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.
Therefore, the null hypothesis always states that the mean difference between the matched or paired samples is zero.Sign Test for Comparing Two Matched SamplesThe sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.
The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.
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emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
Answers
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answers
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
Write the ratio as a fraction in simplest form
Answers
Answer:
\( \frac{80}{16} \)
\(\frac{80}{16}\)
That's the ratio. However, we must write it in its simplest form.
Let's start by dividing 80 by 2 and 16 by 2 and see if that is its simplest form.
\(\frac{40}{8}\)
Now, let's divide by 2 again:
\(\frac{20}{4}\)
Can you see something? The whole ratio actually simplifies to 5 or 5/1
Extra
The ratio 16/80 would simplify to 1/5
Hope this helps!
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\(GraceRosalia\)
how many tickets are there when it weighs 135 grams
Answers
Answer:
about like 4-5
Step-by-step explanation:
its 4 or 5
What is the definition of an obtuse angle?
Answers
Answer:
an obtuse angle is an angle more than 90 degrees but less than 180 degrees
Step-by-step explanation:
:)
f(x)=x^2. What is g(x)?
Answers
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
Linear functions model situations that are continually increasing or continually decreasing. Quadratic functions model situations that increase and then decrease, or vice versa.
Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense, and why?
Answers
A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.
When should polynomial functions should be used?Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.
One possible example is the velocity of the Formula 1 car during a lap, as follows:
Initially, the velocity increases during the start-finish straight.On the approximation to first turn, the velocity decreases as the car breaks.Coming out of the turn, the velocity increases again.At the next breaking point, the velocity decreases.This behavior keeps happening until the end of the lap.
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write all the factors of 16.
Answers
If f(x) = 4x - 1 and g(x) = 2x - 4, what is (f o g)(x)?
View image for answer choices!
HELP
Answers
____________
\( \: \)
f(x) = 4x - 1
g(x) = 2x - 4
Soo :
(f o g)(x) = ...
= f(g(x))
= f(2x - 4)
= 4(2x - 4) - 1
= 8x - 16 - 1
= 8x - 17✔ (D.)
.
2 Jordan stacks 5 layers of 6 units cubes to fill a small box.
How many cubes are in the box?
Answers
30 cubes _ _30 units is the volume?
2.
Select the correct answer from the drop-down menu.
A coin is flipped 36 times. The least likely result for the coin to land on heads is
times.
Reset
Next
Answers
Answer:
30
Step-by-step explanation:
Just took the test
12. 101c - 5c +4c = its 100c
13. 12q - 4 + 10q - 4q +9 =
14. 21k - 20k + 3k =
15. 181x + 91x - 23x =
Answers
\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)