The total number of minutes used by John over the cell phone is 718.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Given that,
The monthly plan of the cell phone company is $40.
The charge per minute for every minute over 700 minutes is $0.45.
The total charge paid is $48.10.
Suppose John uses x minute over 700 minutes.
Then, as per the problem the following equation can be made for John's expense,
40 + 0.45x = 48.10
=> 0.45x = 48.10 - 40
=> x = 8.10/0.45
=> x = 18
Thus, total number of minutes used is given as 700 + 18 = 718 minutes.
Hence, John must have used 718 minutes during the month.
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If each school bus carries at most 20 students, and the school used 5 buses last Monday, then which statement shows how many (N) students came to school by bus?
N<100
N=100
N≤100
N≥100
Answer:
N=100
Step-by-step explanation:
\(20x5=100\)
Plsss help I’ll give u brainlest and 5 or 10 points pls
Answer:
No
Step-by-step explanation:
That is not enough,that is why it is a no
PLs mark brainly
Hope this helps:)
Find the segment length indicated. Assume that lines which appear tobe tangent are tangent.?1220
Answer:
16
Explanation:
The segment with a length equal to 12 is tangent to the circle, It means that it forms an angle of 90 degrees with the line of the missing length.
So, the formed triangle is a right triangle and we can apply the Pythagorean theorem to solve the question.
Then, since 20 is the hypotenuse of the triangle, we get that the missing side can be calculated as:
\(\text{? = }\sqrt[]{20^2-12^2}\)So, solving the expression, we get:
\(\begin{gathered} \text{? = }\sqrt[]{400-144} \\ \text{? = }\sqrt[]{256} \\ \text{? = 16} \end{gathered}\)Therefore, the segment length is 16.
Factor the algebraic expression 40a + 15
Answer:
5(8a+3)
Step-by-step explanation:
Rewrite 15 as 5 * 3
Rewrite 40 as 5 * 8
=5*8a+5*3
=5(8a+3)
I need help on this math question, coordinate planes.
Answer:
where is the question?
Step-by-step explanation:
the picture is all black.
Answer:
4840 yards squared!
In one school day activity, ¾ of 24 girls wore a mini skirt for their presentation. How many girls wore mini skirt? (Use AGONSA.)
Answer:
18
Step-by-step explanation24/0.75 is 18
Answer:
18
Explanation:
Not sure what you mean by AGONSA but the method to get 18 is;
\(\frac{24}{1} *\frac{3}{4} = \frac{72}{4} = 18\)
I need some help with this plz
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon\( \approx 41.57 \: {cm}^{2} \)
Step-by-step explanation:
Area of regular hexagon
\( = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} \)
Answer:
41.57
Step-by-step explanation:
took the test
evaluate the expression 6+4×{3+7}
Answer:
Step-by-step explanation: i thibnk 13
yeah i think its 13
Describe the error in finding the measure of one exterior angle of a regular polygon.
The error in finding the measure of one exterior angle of a regular polygon lies in using the formula 360°/n, where n is the number of sides of the polygon.
The formula 360°/n is used to find the measure of each exterior angle of a regular polygon. It is based on the idea that the sum of all exterior angles of any polygon is always 360 degrees. However, this formula assumes that the polygon has internal angles of 180°, which is true only for regular polygons.
The error occurs when this formula is applied to a non-regular polygon, as non-regular polygons have varying internal angles. Using the formula 360°/n for a non-regular polygon will give incorrect results because the internal angles are not all equal.
For regular polygons, each exterior angle is indeed 360°/n, and the sum of all exterior angles will be 360 degrees. However, for non-regular polygons, this formula cannot be used, and the measures of exterior angles must be calculated differently based on their internal angles and sides.
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The error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
Given that,
There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Here, at each vertex there are two angles.
So, there must be 5 vertices and 5 sides.
Then, the measure of one exterior angle = 360°/5
= 72°
Therefore, the error in finding the measure of one exterior angle of a regular polygon is they divided 360 by 10 instead of 5.
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"Your question is incomplete, probably the complete question/missing part is:"
Describe and correct the error in finding the measure of one exterior angle of a regular polygon. There are a total of 10 exterior angles, two at each vertex, so the measure of one exterior angle is 360°/10 = 36°.
Simplify the expression:
25 - 3(5x - 6) - 22x
Answer:
yup
Step-by-step explanation:
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form Passing through (-2,4) and parallel to the line whose equation is x-3y = 7
The equation for the line is:
3y - x = 14
Explanation:Given the line:
x - 3y = 7
This line can be written as:
y = (1/3)x - 7/3
The slope is 1/3
The y-intercept is -7/3
A line parallel to this has the same slope but different y-intercept, written as:
y = (1/3)x + b
Using the given point (-2, 4), with x = -2 and y = 4, we can obtain the value of b
4 = (1/3)(-2) + b
b = 4 + 2/3
= 14/3
Therefore, the line is:
y = (1/3)x + (14/3)
or
3y - x = 14
Eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he sold daily:
Part A: Describe the relationship between the temperature of the city and the number of cups of lemonade sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
Answer:
See below.
Step-by-step explanation:
Part A: The higher the temperature in the city, the number of lemonades sold increases.
Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y^2-Y^1/X^2-X^1.
The equation(rounded) would be y=0.28x-5.65
-hope it helps
Find the area of each polygon in square units 7-4
3×4 + ½ ×3×4 + 1×4 + ½×3×4
12 + 6 + 4 + 6
18+ 10
28units²
The graph of the equation y = - 3/4X - 3 has what slope?
Answer: 3/4x
Step-by-step explanation:
y = mx + b
m = slope b = y - intercept
y= 3/4x -3
what would the answer be?
Answer:
(180-50) ÷ 2=x
130 ÷ 2 =65
x = 65
65
Step-by-step explanation:
THe angle of a triangle is always 180
take the 50 do
180-50= 130
130/2=65
x=65
Hiiiooo!!! Can someone please help❤️❤️❤️:D
SAS
SSS
AA
Not similar
Answer:
Similar by SSS
Hope it helps
Please mark me as the brainliest
Thank you
x plus 2.7 is greater than or equal to 9.4
Answer:
X >= 6.7
Step-by-step explanation:
So first of all, what you need is write out the equation from the given prompt
x + 2.7 >= 9.4
Next, what you really want to do is
Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7
what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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The sum of two numbers is 262. The difference of those same two numbers is 172. Which answer choice shows both numbers?
Answer:
A = 217
B = 45
Step-by-step explanation:
A+B = 262
A - B = 172
A = 172 + B
172 + B + B = 262
2B = 90
B = 45
A = 172 + (45)
A = 217
HOPE THIS HELPS!!!!
HELP PLZ <3 will mark brainliest
Answer:
x = -7
Step-by-step explanation:
7(x + 4) = -21
7x + 28 = -21
7x = -21 - 28
7x = -49
x = -7
Answer:
-7
Step-by-step explanation:
7(x+4)=-21
7/7(x+4)=-21/7
x+4=-3
x+4-4=-3-4
x=-7
rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
-2 + a = 15? A.) 17 B.) 7.5 C.) -13 D.)13
Answer:
A.17
Step-by-step explanation:
Determine the intercepts of the line.
Answer:
x- intercept: ( -10,0)
y- intercept: (0, -45)
Step-by-step explanation:
An x intercept can be determined from the graph above by recognizing where the given line crosses the x-axis. The same is true for the y intercept and the y-axis.
On this graph, we see that the line crosses the x axis at the point ( -10,0), making this our x intercept.
We also see that the line crosses the y axis at the point (0, -45), making this our y intercept.
HOPE THIS HELPS!!
If a and b are (complex) constants, show that f(z) = azn + b satisfies (f(x) = |a| + 161 whenever |2|< 1. Show, moreover, that |a| + 16) is the maximum modulus of f(z) on the domain D= {z EC : |Z| < 1}. [Hint: if a or b is zero, do it directly. Otherwise, write b = a(reil) and use this to find a z that gives the maximum value! =
This bound is achieved when z = e^iθ/2, we have:
|f(z)| ≤ 2|a| + 32 for all
To show that f(z) = az^n + b satisfies f(x) = |a| + 16 whenever |z| < 1, we can substitute z = 2 into f(z) and use the fact that |2| < 1:
f(2) = a(2)^n + b
= 2^n(a+b/2^n)
= 2^n|a(1+(b/a)/2^n)|
= |2^n||a(1+(b/a)/2^n)|
= |a|2^n|1+(b/a)/2^n|
Since |2| < 1, we know that 2^n approaches 0 as n approaches infinity. Therefore, as n becomes very large, the expression inside the absolute value approaches 1, and we get:
f(2) = |a|2^n|1+(b/a)/2^n|
≈ |a|2^n
Since f(2) = |a| + 16, we have:
|a| + 16 ≈ |a|2^n
Taking the limit as n approaches infinity, we get:
|a| + 16 = 0
which is a contradiction. Therefore, we cannot find a value of z such that f(z) = |a| + 16 when |z| < 1.
To find the maximum modulus of f(z) on the domain D = {z E C : |z| < 1}, we can use the maximum modulus principle, which states that the maximum modulus of a holomorphic function on a closed and bounded domain is attained at the boundary of the domain.
If b = 0, then f(z) = az^n, and the maximum modulus of f(z) on D is |a|. This follows from the fact that the modulus of z^n is 1 on the unit circle, so the modulus of az^n is |a| on the unit circle.
If b ≠ 0, then we can write b = a(reiθ), where r = |b/a| and θ = arg(b/a). Let z = e^iθ/2. Then |z| = 1/2, so z is on the boundary of D. We have:
f(z) = az^n + a(reiθ)
= a(z^n + reiθ)
= a(e^iθ/2)^n(2^n + reiθ)
= a(2^n + rcosθ + risinθ)
Taking the modulus of this expression, we get:
|f(z)| = |a||2^n + rcosθ + risinθ|
Since r ≤ |b|/|a| and |b| ≤ |a| + 16, we have:
r ≤ (|a| + 16)/|a|
Therefore, we can bound the modulus of f(z) as follows:
|f(z)| ≤ |a||2^n + (|a| + 16)/|a|(cosθ + isinθ)|
Since cosθ and sinθ vary between -1 and 1, we can find a value of θ such that the expression in the brackets is maximized. This value is θ = ±π/2, so we have:
|f(z)| ≤ |a||2^n + 2(|a| + 16)/|a|
Taking the limit as n approaches infinity, we get:
|f(z)| ≤ 2|a| + 32
Since this bound is achieved when z = e^iθ/2, we have:
|f(z)| ≤ 2|a| + 32
for all
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how many 8-letter arrangements can be formed from the 26 letters of the alphabet (without repetition) that include at most three of the five vowels and in which the vowels appear in alphabetical order? (hint: break into cases.)
The total number of arrangements, we can simply add up the results from each case:
C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2
Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.
Hence, Here are the three cases:
Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.
This can be done with C(21,8) ways.
Case 2: One vowel included:
Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.
The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.
Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.
Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.
Again, the vowels must be placed in alphabetical order once they are selected.
However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.
Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.
So, The total number of arrangements, we can simply add up the results from each case:
C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2
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if you are given a box with sides of 7 inches, 9 inches, and 13 inches, what would its volume be?
To calculate the volume of a rectangular box, you multiply the lengths of its sides.
In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:
Volume = Length × Width × Height
Volume = 7 inches × 9 inches × 13 inches
Volume = 819 cubic inches
So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.
In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.
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What is the property for 16=16
Answer:
Reflexive property
Step-by-step explanation:
The property means that a real number is always equal to itself. For example, x=x. It works for all real numbers and is pretty simple. 3=3, 7.5=7.5 and etc
abby is comparing monthly phone charges from two companies. phenix charges $30 plus $.5 per minute. Nuphone charges $40 plus $.10 per minute. in how many minutes will the total be the same
Answer:
In 25 minutes, the monthly phone charges of both companies will be the same.
Step-by-step explanation:
If we allow m to represent the number of minutes, we can create two equations for C, the total cost of phone charges from both companies:
Phoenix equation: C = 0.5m + 30
Nuphone equation: C - 0.10m + 40
Now, we can set the two equations equal to each other. Solving for m will show us how many minutes must Abby use for the total cost at both companies to be the same:
0.5m + 30 = 0.10m + 40
Step 1: Subtract 30 from both sides:
(0.5m + 30 = 0.10m + 40) - 30
0.5m = 0.10m + 10
Step 2: Subtract 0.10m from both sides:
(0.5m = 0.10m + 10) - 0.10m
0.4m = 10
Step 3: Divide both sides by 0.4 to solve for m (the number of minutes it takes for the total cost of both companies to be the same)
(0.4m = 10) / 0.4
m = 25
Thus, Abby would need to use 25 minutes for the total cost at both companies to be the same.
Optional Step 4: Check the validity of the answer by plugging in 25 for m in both equations and seeing if we get the same answer:
Checking m = 25 with Phoenix equation:
C = 0.5(25) + 30
C = 12.5 + 30
C = 42.5
Checking m = 25 with Nuphone equation:
C = 0.10(25) + 40
C = 2.5 + 40
C = 42.5
Thus, m = 25 is the correct answer.