The total cost of producing 75 shirts will be $1050.
It is given that Kara's Custom Tees experienced fixed costs of $800 and variable cost of $3 per shirt.
We have to find an equation and also the total cost of producing 75 shirts.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.
As per the question ;
Fixed cost = $ 800
and
Variable cost per shirt = $3.
If x shirts are produced then ; then equation will be ;
= 800 + 3x
And total cost of 75 shirts will be ;
= 800 + 3 × 75
= 800 + 225
= $ 1050
Thus , the total cost of producing 75 shirts will be $1050.
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I WILL GIVE BRAINIEST TO WHO ANSWERS RIGHT AND MORE POINTS
Answer:
x = 22 y = 113
Step-by-step explanation:
3x-15 = 2x+7
-2x -2x
x-15 = 7
+15 +15
x = 22
180-51 = 129
y+16 = 129
-16 -16
y = 113
Answer:
x = 22
y = 113
Step-by-step explanation:
The angles marked as (2x+7) and (3x-15) are vertical angles, and therefore are equal to each other.
2x + 7 = 3x - 15 simplifying:
7 = x - 15
22 = x
Angles marked as (3x-15) and (y+16) form a linear pair and are therefore supplimetery. Now that we know the value of x, we can set up the following equation.
3(22) - 15 + y + 16 = 180 simplifying:
66 - 15 + y + 16 = 180
66 + y + 16 = 195
y = 113
In a home run derby competition, there were 32 home runs out of 124 hits. approximately what percent of hits were home run?
In the home run derby competition the percent of hits that were home run is: 25.8%
Information about the problem:
home runs = 32hits = 124hits were home (%) = ?To solve this exercise we have to apply the percentage formula:
hits were home (%) = (home runs/ hits) * 100
hits were home (%) = (32/ 124) * 100
hits were home (%) = 0.2580 * 100
hits were home (%) = 25.8%
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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W ALL STEPS!
2(x-8) + 4x = 6(x-2)-4
All numbers to the equation 2(x-8) + 4x = 6(x-2)-4 are solutions.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
2(x-8) + 4x = 6(x-2)-4
On further solving
2x- 16 + 4x = 6x - 12 -4
2x + 4x -6x = -12 -4 +16
6x -6x = 0
6x = 6x
As, both sides are equivalent, all numbers are solutions.
Hence, All numbers are solutions.
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how many license plates consist of letters followed by digits, if one of the digits must be odd and the other must be even?
There are six slots; first three for letters and the next three for numerals. Each of the slots for letters can be filled in 26 ways; and, each of the slots for numerals can be filled in 9 ways.
Therefore, possible number of license plates = (26 * 26 * 26 * 9 * 9 * 9) = (26^3) * (9^3) = 17576 * 729 = 12812904.
In order to calculate the probability of a compound event A, we use a technique we refer to as "The Slot Method," in which we first calculate the total number of outcomes, n(S), and the total number of successful outcomes, n(A), and then use slots for each of the independent or dependent events that make up the compound event.
In every game you play at a casino, the odds are stacked against you. The chances of winning the top prize when using the maximum coin play range from one in 5,000 to one in approximately 34 million, making slot machine odds some of the worst.
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PLEASE HELP RIGHT NOW I HAVE IT DUE IN 20 MINUTES!!
The mistake done by Maya consists in operating the power expression (- 3)³ in a wrong manner.
What did Maya do wrong in the simplification of a mathematic expression?
A procedure of solution is shown and we must check if Maya did all the right steps to get a correct result. We proceed to present our procedure to be compared with that of Maya to find the mistake, that is, the step in which all divergences start.
(a³ - b³) / 5, a = 2, b = - 3 Given
[2³ - (- 3)³] / 5 Substitution
[8 - (- 27)] / 5 Definition of power / Power with negative base
(8 + 27) / 5 Additive inverse of an additive inverse
35 / 5 Definition of addition
7 Definition of division / Result
The mistake done by Maya consists in operating the power expression (- 3)³ in a wrong manner.
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The temperature outside was 22˚F. The wind chill made it feel like -8˚F. Find the difference between the real temperature and the apparent temperature.
please help
The difference between the real temperature and the apparent temperature is - 30˚F.
What is Subtraction?
Subtraction is an operation which is used to find the difference between two numbers.
Given that;
The temperature outside (real temperature) = 22˚F
The wind chill made it feel like -8˚F.
That is, The apparent temperature = -8˚F
Now,
The difference between the real temperature and the apparent temperature = - 8˚F - 22˚F
= - 30˚F
Hence, The difference between the real temperature and the apparent temperature is - 30˚F.
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separate the coefficient from the variable in each expression and write the variable with a negative exponent if it was originally in the denominator.
The result of the given expression is-
[tex]2^3\left(x-\frac{3}{2}\right)^6[/tex]
What is exponents?The amount of times a quantity is multiplied is referred to as its exponent. Power is defined as a number multiplied by itself a certain number of times.
The number that a number is raised in order to define its power as an entire expression is known as its exponent.
Now, consider the following exponent rule;
[tex](x y)^m=x^m y^n, x^{m+n}=x^m x^n, \text { and } \frac{1}{x^n}=x^{-n}[/tex]
Now, according to the question, the given expression is;
[tex]\frac{(2 x-3)^6}{8}[/tex]
Taking 2 common from the numerator;
[tex]\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}[/tex]
Now, apply the given exponent rule [tex](a b)^m=a^m b^m[/tex] in the above equation.
[tex]\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}=\frac{2^6\left(x-\frac{3}{2}\right)^6}{8}[/tex]
Apply [tex]a^{m+n}=a^m a^n[/tex] in the above result.
[tex]\begin{aligned}\frac{2^6\left(x-\frac{3}{2}\right)^6}{8} &=\frac{2^{(3+3)}\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{2^3 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{8 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=2^3\left(x-\frac{3}{2}\right)^6\end{aligned}[/tex]
Therefore, the simplified form of the given expression is [tex]2^3\left(x-\frac{3}{2}\right)^6[/tex].
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-
The complete question is-
Separate the coefficient from the variable in each expression and write the variable with a negative exponent if it was originally in the denominator.
[tex]\frac{(2 x-3)^6}{8}[/tex]
In 2005 tokyo had an estimated population of 34,450,000 people while mexico city had an estimated population of 18,066,000 people. about how many more people resided in tokyo?
16,384,000 more people resided in Tokyo
Tokyo population = 34,450,000
Mexico Population = 18,066,000
To find how many more people resided in Tokyo, we subtract =
34,450,000 - 18,066,000 = 16,384,000
What is a good budget for an apartment?
One popular rule of thumb is the 30% rule, which says to spend around 30% of your gross income on rent. So if you earn $2,800 per month before taxes, you should spend about $840 per month on rent.
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A cylinder has a surface area of about 221.1 square meters and a height of
7.8 meters. What is the approximate radius of the cylinder?
OA. 3.2 meters
OB. 4.5 meters
OC. 2.1 meters
OD. 6.4 meters
The approximate radius of the cylinder is 4.5m
Surface area of cylinderThe formula for calculating the surface area of cylinder is expressed as:
SA = 2πr(r+h)
where
r is the radius
h is the height
Given the following parameters
SA = 221.1 square meters
height = 7.8m
Substitute
221.1= 2(3.14)r(r+7.8)
221.1 = 6.28r^2 + 15.6r
Factorize to have
6.28r^2 + 15.6r - 221.6 = 0
On factoring, the value of the radius is 4.5 meters
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Answer:
the answer is A
Step-by-step explanation:
I hope it helps you
what is a possible absolute value inequality to represent -1≤x≤5?
My possible absolute value is -3 ≤ lx - 2l ≤ 3
What is Absolute Value?
The absolute value (or modulus) l x l of a real number x is the non - negative value of x without regard to its sign. For example, the absolute value of 5 is 5 , and the absolute value of -5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Now, the question is:
what is a possible absolute value inequality to represent -1≤x≤5
The representation of inequality -1≤x≤5 of absolute value will be :
-3 ≤ lx - 2l ≤ 3
Now, add 2 to each segment of the system of inequalities to solve for x while keeping the equation balanced:
-3 + 2 ≤ x -2 + 2 ≤ 3+2
-1 ≤ x ≤ 5
Hence, my possible absolute value is -3 ≤ lx - 2l ≤ 3
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PLEASE HELP WITH THIS MATH
Answer:
Without being able to measure it, it looks like the first on is 45 degrees and the second one is 90 degrees.
Step-by-step explanation:
Do you have a protractor that you can measure them with?
Is it fine if I cancel out the minus sign from both the numerator and the denominator and change the plus-minus sign into a plus sign? If not, pls tell me why :D (Be as detailed as u can :D)
Answer:
unfortunately no
Step-by-step explanation:
with ± (plus-minus) sign, you have to work out the two cases.Therefore there're two solutions for this question i.e
[tex]x = \dfrac{ \pm4i}{-2} \implies x _{1} = \dfrac{4i}{-2} \: \: \text{and} \: \: x _{2} = \dfrac{ - 4i}{-2}[/tex]
and this simplifies to [tex]x_1=-2i,x_2=2i[/tex]
If (2x+3y)∝(x+5y) or x∝y, then which of the following is true?
a. x/y = (5k-3/2-k) c. x = y(5k-3/2-k)
b. x:y = (5k-3):2-k d. all are correct
All the given options are correct
How to determine which of the equation is true?The variation expression is given as
(2x + 3y) ∝ (x + 5y)
Rewrite as an equation
So, we have
(2x + 3y) = k(x + 5y)
Remove the brackets
So, we have
2x + 3y = kx + 5ky
Collect the like terms
So, we have
kx - 2x = 3y - 5ky
This gives
x(k - 2) = y(3 - 5k)
Divide by both sides by y(k - 2)
x/y = (5k - 3)/(2 - k) --- option (a)
Multiply both sides by y
x = y(5k - 3)/(2 - k) --- option (b)
Express x/y = (5k - 3)/(2 - k) as ratio
x : y = (5k - 3) : (2 - k) --- option (c)
Hence, all the given options are correct
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On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a height of 36 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decreased by 6 inches per hour and Snowman B's height decreased by 3 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Graph each function to determine the number of hours after sunrise when both snowmen have an equal height.
From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial height is the intercept.The melting rate, as a negative, is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.The functions are graphed at the end of the answer, with A(t) in red and B(t) in blue, and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
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Jake eat 1 1/2 cups of almonds over a 6-days period. How many cups did he eat per day? Find the solution and what it means in the context of the problem.
Answer: 1/3
Step-by-step explanation:
It is
suppose you need of grade 70 tow chain, which has a diameter of and weighs , to tow a car. how would you calculate the mass of this much chain? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
The mass of 7m chain = 7 x 2.16 kg = 15.12 kg
It says that 7m of grade 70 tow chain which has a diameter of 3/8'' is required to tow a car.
So length of the chain = 7m
Now given that the weight of the chain = 2.16kg/m
That is weight of 1m of chain = 2.16 kg = mass of 1m of chain
Here, weight corresponds to the mass itself, since both has the same unit 'kilograms(kg)'.
So to find the mass of 7m chain, we need to multiply mass of 1m chain to the length of the chain.
Thus, the mass of 7m chain = 7 x 2.16 kg = 15.12 kg
The question is incomplete. Find the complete question here:
Suppose you need 7m of grade 70 tow chain, which has a diameter of 3/8'' and weighs 2.16kg/m, to tow a car. How would you calculate the mass of this much chain? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
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I need these answers for a bell ringer, and I think im worrying too much, but until i get my grade out of the bad zone, I'm grounded from gaming!
The relation of Kathy that is not a function is: A. {(1, 10), (2, 20), (3, 30)}.
How to Determine a Relation that is not a Function?A relation is not a function if there are more than one y-value (range element) that is assigned to one x-value (domain element).
In the first relation, the x-value 1, has three different y-values, 10, 20 , and 30.
However, In the second, third, and fourth relations, each of the x-values has exactly one y-value that corresponds to it. These are all relations that represent functions except the relation in A.
Therefore, the relation of Kathy that is not a function is: A. {(1, 10), (2, 20), (3, 30)}.
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City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
How long is the street?
Use the value 3.14 for 1. Round your answer to the nearest tenth. Do not round any Intermediate steps.
351.7 ft is the length of the street
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
The total distance of the street is the number of times the wheel turns multiplied by its circumference. Thus:
C = πD
L = nπD
L = 35 x 3.14 x 3.2
Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any Intermediate steps
L = 351.7 ft
Hence 351.7 ft is the length of the street
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PLEASE HELP FAST!!!!!!!
Answer:
A; x= 8
B; x= -5
C; x= -12
Step-by-step explanation:
a => (7x-1)+(15x+5) = 180
22x +4 = 180
22x = 176
x= 8
b=> (x+135)= 130
x= -5
c=> x+60=48
x= -12
HELPP PLEASE IVE STAYED UP ALL NIGHT TRYING TO FIGURE THIS OUT!!!!
In the diagram, points A, B, C, and D are collinear, points C, X, Y, and Z
are collinear, AB = BC = CX = YZ, AD = 54, XY = 22, and XZ = 33. Find
the indicated length.
Based on the segment addition postulate, we have:
19. AB = 11
20. BD = 43
21. CY = 33
22. CD = 32
23. XC = 11
24. CZ = 44
25. ST = 24
26. AC = 20
How to Apply the Segment Addition Postulate?Given the following:
AB = BC = CX = YZ
AD = 54
XY = 22
XZ = 33
Applying the segment addition postulate, we would have the following:
19. AB = YZ
YZ = XZ - XY
Substitute
YZ = 33 - 22
YZ = 11
AB = YZ = 11
AB = 11
20. BD = AD - AB
Substitute
BD = 54 - 11
BD = 43
21. CY = XY + CX
CX = AB = 11
Substitute
CY = 22 + 11
CY = 33
22. CD = AD - 2(AB)
CD = 54 - 2(11)
CD = 32
23. XC = AB = 11
XC = 11
24. CZ = CX + XY + YZ
CZ = 11 + 22 + 11
CZ = 44
25. 4x + 12x = 32 [segment addition postulate]
16x = 32
x = 2
ST = 12x = 12(2)
ST = 24
26. 14 + 3x - 4 = 4x + 4 [segment addition postulate]
10 + 3x = 4x + 4
10 - 4 = 4x - 3x
6 = x
x = 6
AC = 4x + 4 = 4(6) - 4
AC = 20
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Triangle ABC is reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true?
The two triangles are congruent because each transformation is a rigid motion. Therefore, option B is the correct answer.
Given that, triangle ABC is reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ.
What are reflection, rotation and translation?Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. The translation is sliding a figure in any direction without changing its size, shape or orientation.
We know that reflection, rotation and translation in the vertical or horizontal direction are rigid motions.
Rigid motions do not change the size of a polygon so that the two polygons are congruent.
The two triangles are congruent because each transformation is a rigid motion. Therefore, option B is the correct answer.
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per gallon, the cost of all the ingredients in your stew is $2.76. you consistently sell 57 gallons of stew per week for $435.98 in total sales. what is your food cost percentage?
The cost percentage is 3.61 %.
A cost is the worth of money that has been expended in the production or delivery of a good or service and is therefore no longer accessible for use in accounting, retail, research, or accounting.
A percentage is calculated by dividing a value or a number by its sum, then multiplying the result by 100. The percentage calculation formula is ( value / total value) × 100%.
The cost of all ingredients mixed in the stew is $2.76.
The total sales is $435.98.
57 gallons of stew are sold per week.
Therefore, the total sales per week is
= $2.76 × 57 = $157.32
Hence, the cost percentage of food is:
= ( 2.76 × 57 ) / 435.98
= 157.32 / 435.98
= 0.361
= 3.61 %
The cost percentage of the food is 3.61 %.
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Answer number 6 pleaseeeee
Answer:
Step-by-step explanation: The answer is B
one of your friends missed the class on scientific notation. describe how you would explain to your friend what it means for a number to be in scientific notation and how to convert a number from standard form to scientific notation.
We write 5.14*10^5 to convert from 5.14*10^5.
What is scientific notation?
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.Scientific notation consists of a coefficient multiplied by 10 raised to an exponent . To convert to a real number, start with the base and multiply by 5 tens like this: 5.14 × 10 × 10 × 10 × 10 × 10 = 514000(here are only 4 zeros because you cancel one zero to remove decimal) so we write 5.14*10^5 to convert from 5.14*10^5.
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Which equation is correctly rewritten to solve for x? -fx -g = h
To solve for x, the equation -fx -g = h is correctly rewritten as x = -h/f - g/f.
Which equation is correctly rewritten to solve for x?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the equation in the question;
-fx - g = h
Solve for x.
To solve for x simply means to make x the subject of the formula or equation.
-fx - g = h
Add g to both side
-fx - g + g = h + g
Negative g and positive g cancels out.
-fx = h + g
Now, divide each term in the equation by the coefficient of x
-fx/-f = h/-f + g/-f
x = -h/f + (-g/f)
x = -h/f - g/f
Therefore, to solve for x, the equation -fx -g = h is correctly rewritten as x = -h/f - g/f.
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find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 27???? 4
The exact trigonometric ratios for the angle x is second quadrant.
Given Radian equals to θ = 27π / 4, we need to find all the Trigonometric ratios for the same -
Lets calculate the value of θ first.
We know π equals 180 degree angle and 2π equals 360 degree, hence with each 2π the radian moves back to zero degree. Which means
θ = 27π / 4 can be reduced to θ = 3π / 4
Hence θ = 135 degree which can be represented as below -
As This lies in second quadrant, hence on x-axis (Value of base , needs to be taken as -1)
sin θ = 1/√2 cosec θ = √2
cos θ = -1/√2 sec θ = - √2
tan θ = -1 cot θ = - 1
What is trigonometric ratios?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
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use the drop downs to determine which symbols would complete the inequality for the domain. −4 (a) x (b) 4 (a) (b) ✔ less than
The gathering of x-values determines domain the symbols so one can entire the inequality for the desired area.
All x-values for which the characteristic f(x) exists or is described are in the area of an inequality.The complete inequality may be summarised as follows:-4 ≤ x ≤ 4, (this feature consists of each -four and four within the set of x values)-four < x < 4, (this selection excludes -4 and 4 in the set of x values)-4 ≤ x < 4, (this selection consists of -4 and excludes four inside the set of x values)-four < x ≤ 4, (this selection excludes -4 and consists of four within the set of x values)As a result, the gathering of x-values determines the image that will entire the inequality for the specified domain.To learn more about domain, visit :
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segment pqis tangent to the circle at point q. which equation describes the relationship between the tangent and secant line segments? a. (pq)2
The equation describes the relationship between the tangent and secant line segments will be PR · PB = PQ². Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The combination of the measurements of the secant section and its outside secant segment is approximately the square of the length of the tangent segment if a tangent section and a secant section are drawn to a circular from an exterior endpoint.
The segment PQ is tangent to the circle at point Q.
The equation describes the relationship between the tangent and secant line segments will be PR · PB = PQ². Then the correct option is B.
The complete question is given below.
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Write an equation for a line that is perpendicular to the line given by x=9 and passes through the point (-6,-3)
Answer:
y = -3
Step-by-step explanation:
We are given an equation of the line, x=9.
And we want to write another equation of the line that is perpendicular to x=9 and passes through (-6, -3).
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept. Standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be 0, while a also cannot be negative.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.Any one of these forms would work, but let's use slope-intercept form, as it is the most common way to write the equation of the line.
Perpendicular lines have slopes that multiply to get -1. They are also considered negative and reciprocal. For example, 5 and -1/5 would be the slopes of perpendicular lines.
So, let's find the slope of x=9.
If a line is written like x=9, it means that when it is graphed, it will be a vertical line, and a vertical line has an undefined slope.
As you may know, [tex]\frac{1}{0}[/tex] is also considered to be undefined. This means that the slope of this vertical line can be written as [tex]\frac{1}{0}[/tex].
Now, let's get the reciprocal of this slope (put the value of the numerator on the denominator and vice versa), then add a minus sign after it.
[tex]\frac{1}{0}[/tex] => [tex]-\frac{0}{1}[/tex] => 0
The slope of the line we're writing is 0.
We can replace m in y=mx+b with 0.
y = 0x + b
Now we need to find b.
As the equation passes through the point (-6,-3), we can use its values to help solve for b.
Substitute -6 as x and -3 as y in the equation.
-3 = 0(-6) + b
Multiply.
-3 = b
Replace b with -3 in the equation.
y = 0x - 3
This can also be written as:
y = -3
The table below shows that the number of miles driven by Cooper is directly proportional to the number of gallons he used.
\text{Gallons Used}Gallons Used \text{Miles Driven}Miles Driven
3333 663.3663.3
4444 884.4884.4
4646 924.6924.6
How many gallons of gas would he need to travel 874.35874.35 miles?
Number of gallons of gas would need to travel 874.35 miles 174.034
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given:
Gallons Used Miles Driven
3333 663.3
4444 884.4
4646 924.6
From table we can write
3333/663.3 = 5.024
4444/884.4= 5.024
4646/ 924.6 = 5.024
So, number of gallons of gas would need to travel 874.35 miles
=874.35/5.024
=174.034
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