Answer: Reflection across y=-1
Step-by-step explanation: Y=-1 is the correct answer because E and E' are equally distant from the reflection line
The first option is wrong because the distance from the x-axis is not the same.
The reflection across x=-3 is also wrong because then the figure would be reflected horizontally
We can rule out reflection across the y-axis because the figure is going from quadrant 2 to quadrant 3.
A graph of a line goes through the points (zero, four) and (negative six, zero).
Find the equation of the line using exact numbers.
The equation of the line is y = 2/3x + 4
How to find the equation of the line using exact numbers?The points on the line are given as:
(zero, four) and (negative six, zero).
Rewrite the points properly as
(0, 4) and (-6, 0)
The slope of the line is calculated using:
m =(y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (0 - 4)/(-6 - 0)
Evaluate
m = 2/3
The equation of the line is then calculated as:
y = mx + b
This gives
y = 2/3x + b
So, we have:
4 = 2/3 * 0 + b
Evaluate
b = 4
Substitute b = 4 in y = 2/3x + b
y = 2/3x + 4
Hence, the equation of the line is y = 2/3x + 4
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Express 5cm as a fraction of 1m. Pls explain and solve well. Thank u. Anyone that answers will be marked as brainliest answer.
Hello!
Answer:\(\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}\)
_____________________________________________Explanation:There are 100 centimetres in a metre. So, our denominator will be 100.
The numerator is 5 because that is the number of centimetres.
⇒ \(\frac{5}{100}\)
This fraction can be reduced, since 5 goes into the denominator evenly.
5 ÷ 5 = 1
100 ÷ 5 = 20
So, our reduced fraction is \(\frac{1}{20}\)
Please answer the following:
CLASS 8 SPOT TEST
1. WHAT IS THE PROBABILITY THAT AN INTEGER CHOSEN AT RANDOM BETWEEN 1 TO 10 INCLUSIVE IS EVEN?
2. A BAG CONTAINS 5 WHITE, 4 BLACK AND 1 BLUE BALLS. ONE BALL IS CHOSEN AT RANDOM. WHAT IS THE PROBABILITY THAT IT IS BLACK?
3. FIND THE PROBABILITY OF GETTING AN ODD NUMBER IN A SINGLE TOSS OF A FAIR DIE?
4. A FAIR DIE IS THROWN 900 TIMES. FIND THE NUMBER OF TIMES YOU WOULD EXPECT TO GET A 6.
5. THE PROBABILITY THAT IT WILL BE CLOUDY TOMORROW IS 0.45. WHAT IS THE PROBABILITY THAT IT WILL NOT BE CLOUDY TOMORROW?
Step-by-step explanation:
1. Of the following 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Only these 5 are even: 2, 4, 6, 8, 10.
The probability on an even number is 5 / 10 = 0.5 = 50%
2. The total number of balls is 10.
5 WHITE, 4 BLACK AND 1 BLUE
The probability on a black ball is 4 / 10 = 0.4 = 40%
3. A fair die can show the following 6 numbers 1, 2, 3, 4, 5, 6.
Only these 3 are odd: 1, 3, 5.
The probability on an odd number is 3 / 6 = 0.5 = 50%
4. The probability of a six is 1 / 6. If the die is cast for 900 times you can expect it to be 900 * 1 / 6= 900/6 = 150. The number of times you would expect a 6 would be 150.
5. If the probability on a cloudy tomorrow is 0.45, then in mathematics, that defines the propability for an non cloudy tomorrow as 1 - 0.45 = 0.55, which is 55%.
(The total should always add up to 100%).
a 10-unit vector at 60° from the vertical has a vertical component with a magnitude
Answer:
i hop this halp
Step-by-step explanation:
less than 10 units.
3. Simplify:
(1-2)(¹-3) (1-4)-(1-99) (1-700)
Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y over 3=13?
The statement that is true for the equation 5x - y/3 = 13 and the ordered pairs (2, -9) and (3, -6) is that neither of these ordered pairs satisfies the equation.
In the given equation, we have 5x - y/3 = 13.
To check if the ordered pairs satisfy the equation, we substitute the x and y values from each pair into the equation and see if the equation holds true.
For the ordered pair (2, -9), substituting x = 2 and y = -9 into the equation gives us 5(2) - (-9)/3 = 13, which simplifies to 10 + 9/3 = 13, and further simplifies to 10 + 3 = 13.
However, 13 does not equal 13, so the equation is not satisfied.
Similarly, for the ordered pair (3, -6), substituting x = 3 and y = -6 into the equation gives us 5(3) - (-6)/3 = 13, which simplifies to 15 + 6/3 = 13, and further simplifies to 15 + 2 = 13.
Again, 17 does not equal 13, so the equation is not satisfied.
In summary, for the equation 5x - y/3 = 13, neither the ordered pair (2, -9) nor the ordered pair (3, -6) satisfies the equation when their x and y values are substituted into it.
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An animial gained 6 kilograms over 30 years what is the unit rate of kiliograms per year.
Answer:.2 grams per year
Step-by-step explanation:you divide 6 by 30 and thats what you get:)
Answer:5
Step-by-step explanation:30/6=5
An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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How do I convert sin to cos?
To convert sin to cos, you can use the identity that relates the two trigonometric functions: cos(x) = sin(x + (π/2)).
So, if you have an expression in terms of sin(x), you can convert it to an expression in terms of cos(x) by replacing sin(x) with sin(x + (π/2)), and then simplifying. Keep in mind that the period of cosine function is 2π, whereas the period of sine function is π. If you want to convert cos(x) to sin(x) you can use the same identity by replacing x with (x + π/2).
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38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is:
(a). exactly three: P(3) =
(b). at least four: P(x\geq4)=
(c). less than eight: P(x<8)=
The probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is:
(a) P(3) = 0.2636
(b) P(x≥4) = 0.1814
(c) P(x<8) = 0.9997
(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can use the binomial probability formula:
P(3) = (12 choose 3) * (0.38)^3 * (1-0.38)^(12-3) = 0.2636
where (12 choose 3) = 12! / (3! * 9!) represents the number of ways to choose 3 out of 12 adults.
(b) To find the probability that at least four out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can use the complement rule and subtract the probability of having three or fewer adults who favor the use of drones from 1:
P(x≥4) = 1 - P(x≤3) = 1 - [(12 choose 0) * (0.38)^0 * (1-0.38)^(12-0) + (12 choose 1) * (0.38)^1 * (1-0.38)^(12-1) + (12 choose 2) * (0.38)^2 * (1-0.38)^(12-2) + (12 choose 3) * (0.38)^3 * (1-0.38)^(12-3)] = 0.1814
(c) To find the probability that less than eight out of twelve U.S. adults favor the use of unmanned drones by police agencies, we can sum up the probabilities of having zero to seven adults who favor the use of drones:
P(x<8) = P(x=0) + P(x=1) + ... + P(x=7) = (12 choose 0) * (0.38)^0 * (1-0.38)^(12-0) + (12 choose 1) * (0.38)^1 * (1-0.38)^(12-1) + ... + (12 choose 7) * (0.38)^7 * (1-0.38)^(12-7) = 0.9997
Note that the probability of having eight or more adults who favor the use of drones is negligible.
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Find the equation of a line parallel to 3x + 3y = 21 that passes through the point
(8,-2).
Answer:
do you have like any picture of a graph?
hi can yall help me my brain isnt quite working right now!
The hοuse's valuatiοn decreased by $27,680 and the current value οf the hοuse is $318,320..
What dοes Current value mean?Current value, an accοunting methοd in which assets are priced accοrding tο their replacement value rather than their οriginal cοsts. Current yield, an estimate οf the annual incοme οf an investment that is based οn dividing the tοtal incοme by the current price.
The current value οf the hοuse is $318,320.
Tο calculate hοw much the hοuse's valuatiοn decreased in dοllars, we need tο find 8% οf its οriginal value:
8% οf $346,000 = 0.08 x $346,000 = $27,680
Therefοre, the hοuse's valuatiοn decreased by $27,680.
Tο find the current value οf the hοuse, we need tο subtract the decrease frοm the οriginal value:
Current value = Original value - Decrease
Current value = $346,000 - $27,680
Current value = $318,320
Therefοre, the current value οf the hοuse is $318,320.
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ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
Consider the problem Min3X2−22X+2XY+y2−16Y+60 s.t. X+5Y≤8 a. Find the minimum solution to this problem. If required, round your answers to two decimal places. The optimal solution is X=Y= for an optimal solution value of b. If the right-hand side of the constraint is increased from 8 to 9 , how much do you expect the objective function to change? If required, round your answer to two decimal places. The optimal objective function value will by c. Re-solve the problem with a new right-hand side of 9 . How does the actual change compare with your estimate? If required, round your answers to two decimal places. The new optimal objective function value is so the actual is
(a) The given problem can be written as:
Minimize: \(3X^2 - 22X + 2XY + Y^2 - 16Y + 60\)
(b) Subject to: \(X + 5Y ≤ 8\)
(c) We can find the difference between the new optimal objective function value and our estimated change.
a. To find the minimum solution to the given problem, we need to solve the optimization problem by minimizing the objective function subject to the constraint.
The given problem can be written as:
Minimize: \(3X^2 - 22X + 2XY + Y^2 - 16Y + 60\)
Subject to: \(X + 5Y ≤ 8\)
To find the minimum solution, we need to solve this problem using optimization techniques like linear programming or calculus.
b. If the right-hand side of the constraint is increased from 8 to 9, we need to analyze the change in the objective function.
To do that, we can find the difference between the objective function value at the new solution and the old solution.
c. Re-solving the problem with a new right-hand side of 9 will give us a new optimal objective function value.
To compare the actual change with our estimate, we can find the difference between the new optimal objective function value and our estimated change.
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this is geometry. how would I find the x pretty pls help
Answer:
x = 70°
Step-by-step explanation:
We are given that two of the sides are congruent so that will make the triangle isosceles.
We know also that the base angles of an isosceles triangle are congruent so we know a second angle.
< 1 = 55° ( given)
< 2 = 55° ( isosceles Δs have base <s ≅)
Using the fact that the sum of angles in a triangle is 180° we can find the third angle.
< 3 = 180 -55-55 = 70°
Which value of x makes the equation 3.5(x+20)=6+.75(x+1) true?
Answer:
x = -23
Step-by-step explanation:
3.5(x+20) = 6 + .75(x + 1) Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75
(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)
3.5x + 70 = 6 + .75x + .75 Combine the 6 and .75 on the right side
3.5x + 70 = 6.75 + .75x Subtract .75x from both sides of the equation
2.75x + 70 = 6.75 Subtract 70 from both sides of the equation
2.75x = -63.25 Divide both sides by 2.75
x = -23
Check
3.5(-23+20) = 6 + .75(-23 + 1)
3.5(-3) = 6 +.75(-22)
-10.5 = 6 +(-16.5)
-10.5 = -10.5
Answer:
x = -23
Step-by-step explanation:
3.5(x+20)=6+.75(x+1)
3.5x + 70 = 6 + .75x + .75
3.5x+70=.75x+6.75
2.75x+70=6.75
2.75=−63.25
divide^
x = -23
McDonald’s once made bubblegum-flavored broccoli.
Some fungi create zombies, then control their minds.
The first oranges weren’t orange.
There’s only one letter that doesn’t appear in any U.S. state name.
Answer:
1. ew
2. wait what
3. uhm the name tho
4. Q right?
Answer:
Jjrhrhri4i393i393j3j33
Step-by-step explanation:
J5jjt. Hthtbht
6 less than one-third of a number m is y
Answer:
(m×1/3)-6=y
Step-by-step explanation:
Start with m as the unknown variable.Now multiple that by 1/3 to find that portion of m. (m×1/3)Lastly, subtract 6 and set the expression equal to y. (-6=y)Thus we get our final equation: (m×1/3)-6=yaccording to​ statistics, a person will devote years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by . over the​ lifetime, how many years will the person spend on each of these​ activities?
The person will spend around 23.32 years sleeping and about 5.83 years watching TV throughout their lifetime, based on the assumptions of average daily hours and an estimated lifespan of 70 years.
To determine the number of years a person will spend sleeping and watching TV over their lifetime, we need to consider the average amount of time spent on each activity and the estimated lifespan of the person.
Let's assume that the average amount of time spent sleeping per day is 8 hours, and the average amount of time spent watching TV per day is 2 hours.
Years spent sleeping:
In a year, there are 365 days. Therefore, the number of hours spent sleeping in a year would be:
8 hours/day * 365 days/year = 2,920 hours/year.
Considering an average lifespan of 70 years, the number of years spent sleeping would be:
2,920 hours/year * 70 years = 204,400 hours.
Converting hours to years, we divide by the number of hours in a year:
204,400 hours / 24 hours/day = 8,516.67 days.
8,516.67 days / 365 days/year = 23.32 years.
Therefore, the person will spend approximately 23.32 years sleeping over their lifetime.
Years spent watching TV:
Using the same approach, considering 2 hours of TV watching per day, we can calculate the number of years spent watching TV:
2 hours/day * 365 days/year = 730 hours/year.
730 hours/year * 70 years = 51,100 hours.
Converting hours to years:
51,100 hours / 24 hours/day = 2,129.17 days.
2,129.17 days / 365 days/year = 5.83 years.
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Which table represents a linear function?
୦
X
1
no
2
4
y
-2
-6
-2
-6
Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.
In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.
The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.
This constant rate of change indicates that the relationship between x and y is linear.
In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.
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HELP IM BEGGING
Chrissy compared ice cream scoop prices at a local ice cream parlor.
2 scoops for $2.98
3 scoops for $3.69
4 scoops for $4.28
Which number of scoops have the best rate?
(A) Two scoops for $2.98 is the best rate
(B) Three scoops for $3.69 is the best rate
(C) four scoops for $4.28 is the best rate
(D) All of the prices per scoop have the same rate
Four scoops for $4.28 is the best rate. Therefore, option C is the correct answer.
Given that, 2 scoops for $2.98
We know that, unit rate = Total cost/Number of things
Here, 1 scoop = 2.98/2
= $1.49
3 scoops for $3.69
Here, 1 scoop = 3.69/3
= $1.23
4 scoops for $4.28
Here, 1 scoop = 4.28/4
= $1.07
Comparison 2 scoops for $2.98 is more costlier and 4 scoops for $4.28 is cheaper.
Therefore, option C is the correct answer.
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PLEASE HELP Which of the following is NOT a Pythagorean triple
A. (9, 12, 15)
B. (5, 12, 13)
C. (4, 6, 7)
D. (6, 8, 10)
Answer:
C
Step-by-step explanation:
A. 81 + 144 = 225. Is Pythagorean triple.
B. 25 + 144 = 169. Is Pythagorean triple.
C. 16 + 36 = 52, but 7² is 49. Is not Pythagorean triple.
D. 36 + 64 = 100. Is Pythagorean triple.
In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S adults are selected at random without replacement (a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus (b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus 0.522 (c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus 0.478
(a)The probability that all four adults are very confident is approximately 0.0056.
(b) The probability that none of the adults are very confident is approximately 0.522.
(c) The probability that at least one adult is very confident is approximately 0.478.
What is the probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults, given the proportion of very confident individuals?
The probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults depends on the proportion of very confident individuals. By calculating the probability of all four adults being very confident (a), none of the four adults being very confident (b), and at least one of the four adults being very confident (c), we can determine the likelihood of these scenarios occurring based on the given information.
To solve this problem, we can use the concept of probability and combinations.
(a)Given that there are 150 out of 1000 U.S. adults who are very confident, the probability of selecting one adult who is very confident is:
P(very confident) = 150/1000
= 0.15
Since the sampling is done without replacement, after each selection, the sample size decreases by 1. Therefore, for the second selection, the probability becomes 149/999, for the third selection, it becomes 148/998, and for the fourth selection, it becomes 147/997.
To find the probability that all four adults are very confident, we multiply these probabilities together:
P(all four adults are very confident) = (0.15) * (149/999) * (148/998) * (147/997)
≈ 0.0056
(b) The probability of selecting one adult who is not very confident (opposite of very confident) is:
P(not very confident) = 1 - P(very confident)
= 1 - 0.15
= 0.85
Since we are selecting four adults at random without replacement, the probability of none of them being very confident can be calculated as:
P(none very confident) = P(not very confident) * P(not very confident) * P(not very confident) * P(not very confident)
= (0.85)* (0.85) * (0.85) * (0.85)
≈ 0.522
(c) The probability of at least one adult being very confident is the complement of none of them being very confident:
P(at least one very confident) = 1 - P(none very confident)
= 1 - 0.522
= 0.478
Therefore,
(a) The probability that all four adults are very confident is approximately 0.0056.
(b) The probability that none of the adults are very confident is approximately 0.522.
(c) The probability that at least one adult is very confident is approximately 0.478.
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What is the estimate of 827 times 4 ?
Answer:
3,308
Step-by-step explanation:
the internet said that 3,308 was the answer.
\(827 \times 4 \approx820 \times 4\)
\(820 \times 4 = 800 \times 4 + 20 \times 4 \\ 820 \times 4 = 3200 + 80 \\ 820 \times 4 = 3280\)
\(827 \times 4 \approx3280\)
In reality it's just that additional 4 sevens,so
\(827 \times 4 = 820 \times 4 + 4 \times 7 \\ 827 \times 4 = 3280 + 28 \\ 827 \times 4 = 3308\)
I NEED HELP REALLY REALLY BAD!!! BRAINLIEST!
Answer:
4/3
Step-by-step explanation:
16 - 8 8
--------- = -------- = . 4/3
12 - 6 6
In an isosceles triangle, how do you prove the base angles are congruent?
Answer:
You prove the base angles are congruent by constructing the angle bisector through the vertex angle of an isosceles triangle. By constructing the angle bisector, we designed two congruent triangles and then used CPCTC to show that the base angles are congruent.
Step-by-step explanation:
NEED HELP ASAP FREE BRAIN LIST
Answer:
9.8
Step-by-step explanation:
\(x^2 + 10^2=14^2\\x^2+100=196\\x^2=96\\\sqrt{x^2} =\sqrt{96} \\x=9.8\)
Answer:9.1 or 10.1
Step-by-step explanation:
Task 1: Attitude Problems The reference frame transformation from the LVLH frame to the body frame is usually handled through the use of either Euler angles or quaternions. (a) Write a function in MAT
In the context of spaceflight, the LVLH frame (Local Vertical/Local Horizontal) is often used as the reference frame for describing the attitude of a spacecraft.
The body frame, on the other hand, is the reference frame fixed to the spacecraft itself. The transformation between these frames is critical for performing operations such as attitude control or maneuver planning.In order to transform between the LVLH frame and the body frame, either Euler angles or quaternions are typically used. Euler angles are a set of three angles that describe a sequence of rotations around the principal axes of the reference frame. Quaternions are a set of four numbers that can be used to describe an orientation in three dimensions. Both methods have their advantages and disadvantages depending on the specific application at hand.To write a function in MATLAB for this transformation, the specific equations for the transformation must first be derived. Once these equations are known, they can be implemented in a function that takes as input the desired transformation and outputs the resulting attitude of the spacecraft. The function can then be tested and verified using simulation or experimental data to ensure that it is functioning correctly.
In conclusion, the transformation between the LVLH frame and the body frame is a critical operation for spacecraft attitude control and maneuver planning. Both Euler angles and quaternions can be used for this transformation, and the specific method chosen will depend on the application at hand. To implement this transformation in MATLAB, the equations must first be derived and then implemented in a function that can be tested and verified.
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Nora spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.4°F. Between 9am and noon, the temperature increased by 7.6°F. Between noon and 3pm, the temperature went up 13.1°F. Between 3pm and 6pm, the temperature dropped 1.2°F. What was the temperature at 6pm?
As per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
As given in the question,
The decimal value of the temperature at 6 pm was 7.1°F
Nora's temperature recording chart in winter can be tabulated as follows:
Time Change in Temperature (°F) Temperature Reading (°F)
9 am ----- -12.4
12 noon +7.6 -4.8
3 pm +13.1 +8.3
6 pm -1.2 +7.1
Calculation by way of addition / subtraction of decimal is as follows:
-12.4°F +7.6°F = -4.8°F (increase in temperature from 3 pm to 6 pm)
-4.8°F + 13.1°F = 8.3°F (increase in temperature from 3 pm to 6 pm)
8.3°F - 1.2°F = 7.1°F (drop in temperature from 3 pm to 6 pm)
Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)
Therefore, as per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
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if a pen and a pencil cost 55 dollars and the pen cost 50 mor dollars than the pencip what is the answer
Answer:
The pen is $52.50 and the cost of the pencil is $2.50.
Step-by-step explanation:
What is the answer if a pen and a pencil cost 55 dollars and the pen cost 50 more dollars than the pencil?
—
Step 1: Let Statements
Let a be the cost of the pen
Let b be the cost of the pencil
Step 2: Write Equations
a + b = 55
a = 50 + b
Step 3: Find POI
Using substitution to find the POI of both equations:
50 + b + b = 55
50 + 2b = 55
2b = 55 - 50
2b = 5
b = 5/2 or 2.5
Substitute b = 5/2 to solve for a
a = 50 + b
a = 50 + 2.5
a = 52.5
Therefore, a = 52.5 and b = 2.5
Step 4: Concluding Sentence
The cost of the pen is $52.50 and the cost of the pencil is $2.50.