Answers
Answer:
A
Step-by-step explanation:
It is perpendicular because it forms a right angle with the second line
Related Questions
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
The quadratic function is given by
f(x) = [tex]-3(x+2)^2[/tex] + 1
The vertex form of the quadratic function is
f(x) = [tex]a(x-h)^2[/tex] + k
Where (h, k) is the coordinates of the vertex
x = h is the axis of symmetry
Compare the given function and the vertex form of the quadratic function and find the value of the each term
The value of h = -2
The value of k = 1
The coordinates of the vertex = (-2, 1)
The axis of symmetry is at x = h
h = -2
Draw the graph using the details
Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3
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if you were able to add the numbers 26 and 41 in your head, it is assumed that you would be doing this in your:
Answers
If you were able to add the numbers 26 and 41 in your head, it is assumed that you would be doing this in your working memory.
Define working memory.A cognitive apparatus known as working memory has a finite capacity and can only temporarily store information. It is crucial for reasoning, decision-making, and behaviour direction. When working on a long-division problem, kids use their working memory abilities to retain the long-division steps. Other instances include keeping track of complicated instructions, taking notes in class, recalling an argument while someone else is speaking, or performing mental calculations. In contrast to long-term memory, which stores a large amount of knowledge over a lifetime, working memory is the little amount of information that may be kept in mind and used to carry out cognitive tasks. One of the most often used concepts in psychology is working memory.
Given,
If you were able to add the numbers 26 and 41 in your head, it is assumed that you would be doing this in your:
d) Working memory
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#12 all parts please!!
Answers
Answer:
Step-by-step explanation:
a find the interpret the slope and the y-intercept of the graph
HELP
At a Junk Yard a study was conducted using 48 cars and found that the average mileage on a car before it was junked was 164,000 and the population standard deviation is known to be approximately 28,000. Construct a 99% confidence interval of what the actual average mileage is for a car before it is junked.
Answers
A 99% confidence interval of what the actual average mileage is for a car before it is junked is; (153589, 174411)
How to find the confidence Interval?The formula for confidence interval is;
CI = x' ± z(s/√n)
where;
x' is sample mean
s is standard deviation
n is sample size
z is critical value at confidence level
We are given;
x' = 164000
n = 48
s = 28000
CL = 99%
z-score at confidence level of 99% is 2.576
Thus;
CI = 164000 ± 2.576(28000/√48)
CI = 164000 ± 10410.78
CI = (164000 - 10410.78), (164000 + 10410.78)
CI = (153589, 174411)
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Select the correct answer. A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
Answers
The expected value of a player's winnings on each roll is equal to: D. $30.00
How to determine expected value of a player's winnings on each roll?In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.
By rolling a fair six-sided die, we would obtain the following outcomes:
Outcomes = 1, 2, 3, 4, 5, and 6.
Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:
Multiples of three (3) = 3 and 6
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 3 × 20 = $60
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 6 × 20 = $120
Total winnings = $60 + $120
Total winnings = $180
Now, we can determine the expected value of a player's winnings on each roll:
Expected value = 1/6 × 180
Expected value = $30.
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Complete Question:
A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
A. $3.33
B. $6.66
C. $8.50
D. $30.00
E. $40.00
When nineteen is subtracted
from three time a
number "X", the result is 110. Translate and find
the number.
Answers
Answer: x=43
Step-by-step explanation:
3x-19=110
3x-19+19=110+19
3x=129
3x/3=129/3
x=43
In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.
If Amelia scores 5 points, how many points did Bryce score?
Group of answer choices
A. 6
B. 10
C. 18
D. 5
Answers
Answer:
b
Step-by-step explanation:
b
Answer: Amelia 5, Keturah 10, Jordan 6, Bryce 18
Step-by-step explanation:
If Amelia scored 5 and Keturah scored 2 times of Amelia's score, then 5 x 2 is 10, so Keturah scored 10. If Keturah scored 10 and Jordan scored 4 points fewer than Jordan's score, then 10 - 4 is 6, so Jordan scored 6. If Jordan scored 6 and Bryce scored 3 times of Jordan's score, then 6 x 3 is 18, so Bryce scored 18. So C is the correct answer.
Could someone help quick
Answers
The constant of proportionality is 1/7
What is constant of proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same pace. Example: y x represents the cost per item(y), which is directly proportional to the number of items(x) purchased.Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa. As shown by the formula y 1/x, the speed of a moving object (y) inversely varies with the amount of time (x) needed to travel a distance.K is constant in both circumstances. The coefficient of proportionality is the name given to this constant's value. The unit rate is another name for the proportionality constant.To learn more about constant of proportionality, refer to https://brainly.com/question/26171814
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80% into a decimal from
Answers
Answer: 0.8
Step-by-step explanation:
I need a quick answer please !!!
——————————————————
The diagram (below) shows a game in which you use the pieces at the top to form solid rows at the bottom. Using only translations and rotations, describe the transformations of the pieces at
the top that will form two solid rows at the bottom.
Answers
meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow
Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters.
Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95
If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?
Answers
Hello!
If Brad had a small gathering at a local steakhouse where they ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters. After adding an 18% gratuity their total before sales tax should have been $130.45
Step-by-step explanation:
[tex]4[/tex] x [tex]9.95=39.80[/tex]
[tex]3[/tex] x [tex]12.95=38.85[/tex]
[tex]2[/tex] x [tex]15.95=31.90[/tex]
[tex]31.90+[/tex][tex]38.85+[/tex][tex]39.80=[/tex][tex]110.55[/tex]
[tex]110.55[/tex] x [tex]0.18[/tex] [tex]=19.899[/tex]
[tex]110.55+19.90[/tex][tex]=130.45[/tex]
A police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets. Should he be on a perpendicular bisector, a median, an angle bisector, or an altitude?
ALSO… Draw a picture to show solution to this problem and label all parts of your picture and the name of the segment the police officer should use.
Answers
A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.
Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.
What is a perpendicular bisector?A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.
Perpendicular bisector: A line that bisects a line segment in two equal parts.
Median: The middle number; found by ordering all data points and picking out the one in the middle.
Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.
Therefore, a police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.
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Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain
Answers
D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
D(x) = 2x
As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).
Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
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Q1 Write a quadratic polynomial
, sum of whose zeroes is 3 and product is -40
Answers
The quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
Define the term quadratic polynomial?When a variable term as in polynomial expression has a highest power of 2, the polynomial is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. A quadratic equation or quadratic function is created if a quadratic polynomial becomes equal to 0. The roots or zeros of both the quadratic equation are the name given to the solutions of this equation.For the stated values,
Sum of zeroes is 3 and product is -40
Use formula,
x² - x (sum of zeros) + (product of zeros) = 0.
Put the values.
x² - x (3) + (-40) = 0.
x² - 3x + -40 = 0.
Thus, the quadratic polynomial for the given conditions of zeros is found as x² - 3x + -40 = 0.
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In the first round of math contest, each students had to answer 2 questions. Miriam averaged 76 seconds per question. Jake and Rafael averaged 84 seconds per question, and Sam averaged 80 seconds per question. At the end of the first round, what was the total time for all 4 students?
a) 324 seconds
b) 400 seconds
c) 480 seconds
d) 568 seconds
e) 648 seconds
Answers
At the end of the first round, the total time is 648 seconds ( option E )
What is average ?An average is the result that you get when you add two or more numbers together and divide the total by the number of numbers you added together.
For example, if there are 10 students in a class with ages 10, 11, 12, 10, 10,12,12,10,11,12 their average age will be( 10+ 11+12+10+10+12+12+10+11+12)/10
for Mariam her average time is 76 which means her total time is 76× 2= 152
for Jake and Rafael their average time is 84 which means their total time is 84×4= 336
for Sam,his average time is 80 which means is total time is 80×2= 160
therefore the total time spent by the 4 students is 152+336+160=648seconds
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assume the average number of times that a typical american says a word that is considered to be profane is 4 times per day with a standard deviation of 5.6. a sample of 15 students from your university is found to vocalize 3.4 profane words per day. assume that we expect the students at your university to vocalize fewer profane words. conduct directional (left-tailed) hypothesis test to determine if there is a difference between you university's population and the general population. what is the z-observed value for the test?
Answers
The z-observed value for the test of average number of times that a typical american says a word that is considered to be profane is -0.41.
Define the term z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from mean are used to measure Z-score.The formula for calculating the z-score is-
z = (x - μ)/s
in which,
n = sample size (= 15)
μ = mean (= 4)
σ = standard deviation (= 5.6)
s = σ/√n
s = 5.6/√15
s = 1.44
Put the value in z score;
z = (3.4 - 4)/1.44
z = -0.41
Because of how near to zero this test statistic is, we will not be able to rule out the null hypothesis. Seven.
There isn't enough proof to claim that there is a mean difference or that it exists in your circumstance.
Thus, they're basically arguing that we can't rule out the null hypothesis.
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5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas
cost me $1.41.
a) Represent this information as a matrix equation.
b) Find the cost of a banana and an orange.
Answers
A) The matrix equation that represents the given information is;
[tex]\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right][/tex]
B) The cost of a banana is; $0.05
The cost of an orange is; $0.12
How to create and solve a matrix equation?A matrix equation is defined as an equation where a variable stands for a matrix .
Let x represent cost of oranges
Let y represent cost of bananas
5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas
cost me $1.41. Thus, the equations are;
5x + 14y = 1.30 ----(1)
8x + 9y = 1.41 -----(2)
A) Now, the matrix form of the simultaneous equation above will be;
[tex]\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right][/tex]
B) Multiply the first equation by 8 and the second one by 5 to get;
40x + 112y = 10.4
40x + 45y = 7.05 Subtract to get;
67y = 3.35
Divide both sides by 67 to get;
y = $0.05 per banana
Plug in 0.05 for y into eq 1 to get;
5x + 14(0.05) = 1.30
5x + 0.7 = 1.3
5x = 1.3 - 0.7
5x = 0.6
x = 0.6/5
x = $0.12
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XY
Y
a. (1, 1) and (7,5)
Answers
The slope of the line that passes through (1, 1) and (7, 5) is 2/3
How to calculate the slope of the line?From the question, the points are given as
a. (1, 1) and (7,5)
Rewrite the above points properly
So, we have the following ordered pairs
(1, 1) and (7,5)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 1) and (7,5)
Substitute the known values in the above equation
So, we have the following equation
Slope = (5 - 1)/(7 - 1)
Evaluate
Slope = 2/3
Hence, the slope of the line is 2/3
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Possible question
Find the slope of the line that passes through a. (1, 1) and (7,5)
Find the probability P(0.21 distribution.
Answers
The probability of the value of (0.21) distribution using the normal distribution table is: 0.3166
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
In the question, we have
Probability of (0.21 < z <1.28)
= P(z < 1.28) - P(z < 0.21)
Probability of value for z
= 1.28 using z table is 0.8997
=> P(z < 1.28)
= 0.8997
probability of value for z = 0.21
Now, find the value of the probability using the normal distribution table:
using the z table of 0.21; we get:
The value of z is: 0.5832
=> P(z < 0.21) = 0.5832;
The value of Probability of (0.21 < z <1.28)
= Probability of (z < 1.28) - Probability of (z < 0.21)
= 0.8997 - 0.5832
= 0.3165
~ 0.3166
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3. Tina needs to build a fence. The fence
is 30 feet long and 20 feet wide. She
realizes she needs more so she increases
the length and width by x feet. Create an
expression that represents the perimeter
for the fence.
Answers
2(30+x)+2(20+x)
Explanation:
Perimeter for a rectangle is “2 times length + 2 times width” (2l+2w)
The perimeter before she added x more was 2(30) + 2(20) now that she added it you have to change it to 2(30+x)+2(20+x).
Compare the governments of Germany and Russia. Make three lists pointing out similarities and differences. In the first list, point out the unique traits of the German government. In the second list, point out the unique traits of the Russian government. In the third list, point out the traits both governments have in common.
DON'T write an entire essay i just need a paragraph
Answers
Answer: During the Russian war, The Russians and Germans were at war with each other, Beating them brutally.
Step-by-step explanation:
Find a1 if d = -2 and a21 = 18.
The answer is either 58 or 60
Answers
For the given values of the arithmetic sequence d = -2 , a₂₁ = 18,then the value of a₁ = 58.
As given in the question,
Given values of the arithmetic sequence :
Common difference 'd' = -2
Twenty first term a₂₁ = 18
Formula for the nth term of arithmetic sequence with common difference 'd' and first term a₁ is given by:
aₙ = a₁ + (n -1) d
Substitute the value n =21 , a₂₁ =18 and d = -2 in the above equation we get,
⇒a₂₁ = a₁ + (21 -1)(-2)
⇒18 = a₁ + 20(-2)
⇒ a₁ = 18 +40
⇒a₁ = 58
Therefore, for the given values of the arithmetic sequence d = -2 ,
a₂₁ = 18,then the value of a₁ = 58.
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Solve for an angle in right triangles
I just need the answer :)
Answers
Answer:
19.47
Step-by-step explanation:
Answer:
[tex]m\angle A \approx 19.47 \textdegree[/tex]
Step-by-step explanation:
Utilize the trigonometric ratio sine.
[tex]\sin(m\angle A) = \dfrac{2}{6}[/tex]
[tex]\sin(m\angle A) = \dfrac{1}{3}[/tex]
[tex]m\angle A = \sin^{-1}\left( \dfrac{1}{3} \right)[/tex]
[tex]m\angle A \approx 19.47 \textdegree[/tex]
Evalúa \dfrac{2}{5}g+3h-6
5
2
g+3h−6start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 cuando g=10g=10g, equals, 10 y h=6h=6h, equals, 6
Answers
The value of the algebraic expression 2/5g + 3h - 6 if evaluated when g = 10 and h = 6 is 16.
How to evaluate algebraic expression?2/5g + 3h - 6
When g = 10 and h = 6
Substitute the value of g and g into the expression2/5g + 3h - 6
2/5(10) + 3(6) - 6
open parenthesis20/5 + 18 - 6
4 + 18 - 6
16
In conclusion, the value of the expression 2/5g + 3h - 6 when evaluated is given by 16
Complete question:
Evaluate 2/5g + 2h - 6 start fraction, 2, divided by, 5, end fraction, g, plus, 3, h, minus, 6 when g=10 g, equals, 10 and h=6 h, equals, 6
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what are the coordinates of the circumcenter of ABC A(-5,-4) B(3,-4) C(-1,6)
Answers
P(-4,-1) are the coordinates of circumcentre of the triangle
How to find the coordinates of the circumcenter of a triangle?The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.
Let A(-5,-4), B(3,-4), C(-1,6) be the vertices of the given △ABC.
Let P(x,y) be the circumcentre of △ABC. Then,
PA = PB = PC
Also, PA² = PB² = PC²
PA² = PB²
(x-(-5))² + (y-(-4))² = (x-3)² + (y-(-4))²
(x+5)² + (y+4)² = (x-3)² + (y+4)²
x²+10x+25 + y²+8y+16 = x²-6x+9 + y²+8y+16
10x-6x = 9-25
4x = -16
x = -16/4 = -4
Also, PB² = PC²
(x-3)² + (y+4)² = (x+1)² + (y-6)²
x²-6x+9 + y²+8y+16 = x²+2x+1 + y²-12y+36
-6x-2x+8y+12y = 37-9-16
-8y+20y = 12
-2x+5y = 3 .......(1)
put x= -4 into (1):
-2(-4)+5y = 3
8+5y = 3
5y = 3-8
5y = -5
y = -1
Therefore, the coordinates of circumcentre of △ABC are P(-4,-1)
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Passes through (-3, -5), slope = -2
Answers
Answer:
b. y + 5 = -2(x + 3) or
y = - 2x - 11
Step-by-step explanation:
Point-slope equation:
y - y₁ = m(x - x₁), where m- slope, (x₁, y₁) - the point on the lineGivenm = - 2,x₁ = - 3,y₁ = - 5Substitute these into point-slope equationy - (-5) = -2(x - (-3))y + 5 = -2(x + 3)Convert this to slope-intercept form:
y = - 2x - 6 - 5y = - 2x - 11Correct choice is b.
[tex]\sf -31 - 4x = -5 - 5(1 + 5x)[/tex]
Answers
Answer:
x = 1
Step-by-step explanation:
Given equation,
→ -31 - 4x = -5 - 5(1 + 5x)
Now the value of x will be,
→ -31 - 4x = -5 - 5(1 + 5x)
→ -31 - 4x = -5 - 5 - 25x
→ -4x + 25x = -10 + 31
→ 21x = 21
→ x = 21/21
→ [ x = 1 ]
Hence, the value of x is 1.
The value of the variable x in the equation -31 -4x = -5- 5(1+ 5x) will be 1.
The given algebraic expression with the variable x is,
-31 - 4x = -5 -5(1+ 5x)
By further solving it, we get,
- 31 - 4x = -5 -5 -25x
To simplify the equation, we have to first separate the constants and variables,
=> 25x - 4x = -5 -5 + 31
=> 21x = 31 - 5 -5
=> 21x = 31- 10
=> 21x = 21
=> x = 21/21
=> x= 1.
Hence, the value of the variable x in the algebraic expression, -31 - 4x = -5 -5(1+ 5x), is found to be 1.
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PLEASE HELP!!!
The two lines graphed below are parallel. How many solutions are there to the system of equations?
A. Zero
B. Two
C. One
D. Infinitely many
Answers
Answer:
Step-by-step explanation:
It would be D.
Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to drive 500 mi in a month Find the cost per mileWrite an equation that relates the cost for gasoline and maintenance of a car to the number of miles m the car is driven. Use the equation to find the cost for driving 1200 miles. About how many miles are driven for a cost of $820?
Answers
Answer:
C = 0.97m$1164 for 1200 miles845 miles for $820Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
Cost per mileThe cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
EquationThe equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
1200 milesThe cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
$820The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
Where do i start?
This is only a grade 11 math problem thanks
Answers
The smallest positive integer is 267 that should be multiply with given series.
What is meaning of series?
A series in mathematics is the total of a given set of terms. Real or complex numbers are typically used in these terms, but considerably more generality is conceivable.
Given series is 3, 6, 9, .... , 2400.
Assume that n should be multiply with the given series.
The series becomes 3n, 6n, 9n, .... , 2400n.
Now add the series:
(3n + 6n + 9n + ....+ 2400n)
Taking common 3n:
= 3n( 1 + 2 + 3 + ...+ 800)
Apply the formula the sum of the first n positive integers is n(n+1)/2
= 3n ×{800(800+1)}/2
=3n × 400 × 801
= 3n × 4 × 100 × 3 × 3 × 89
= (4 × 100 × 3 × 3) × (3 × 89) × n
The product of (4 × 100 × 3 × 3) is a perfect square. But 3 × 89 is not a perfect square. Thus n = 3 × 89 = 267.
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https://brainly.com/question/11346378?
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