Answer:
Max is correct
If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) ⇒ (x, –y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) ⇒ (–x, y).
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line should give.
Step-by-step explanation:
The answer above pretty well explains it.
The net result of the two reflections will be that any figure will retain its orientation (CW or CCW order of vertices). It is equivalent to a rotation by 180°. The single reflection across the line y=x will reverse the orientation (CW ⇔ CCW). They cannot be equivalent.
Max is correct in stating that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. Josiah's conjecture is incorrect. Statements that will help Max prove his conjecture include reflecting a figure across the x-axis and the y-axis, and how the coordinates of the image points change in each reflection.
Explanation:Max is correct. When a figure is reflected across the x-axis, the y-coordinate of each point is negated, resulting in an image in a different quadrant. Therefore, reflecting a figure across the x-axis from quadrant II will place the image in quadrant III. Similarly, when a figure is reflected across the y-axis, the x-coordinate of each point is negated, resulting in an image in a different quadrant. Reflecting a figure across the y-axis from quadrant III will place the image in quadrant IV.
A figure that is reflected from quadrant II to quadrant IV will be reflected across the line y = x. However, reflecting a figure across the x-axis followed by a reflection across the y-axis will result in an image that is reflected across the line y = -x, not y = x. Therefore, Josiah's conjecture is incorrect.
The following statements will help Max prove his conjecture:
If one reflects a figure across the x-axis from quadrant II, the image will end up in quadrant III.If one reflects a figure across the y-axis from quadrant III, the image will end up in quadrant IV.If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) → (x, -y).If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) → (-x, y).Therefore, Max's statements are correct and Josiah's conjecture is incorrect.
CAN SOMEONE PLEASE HELP ME
Answer:
3* 10⁵
Step-by-step explanation:
6* 10⁸ / 2 * 10³ = 3 * 10⁸⁻³ = 3* 10⁵
Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds. Which is the best estimate of how many grapefruits she purchased? A. 19 B. 17 C. 10 D. 50
Answer:
B
Step-by-step explanation:
GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.
This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.
recall that : average weight = total weight / number of fruit
we are given than total weight = 25.29 lb, so
average weight = 25.29 / number of fruit
Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.
Choice A: number of fruit = 19
average = 25.29 / 19 = 1.33 (outside of range, not the answer)
Choice B: number of fruit = 17
average = 25.29 / 17 =1.49 (within range , possible answer)
Choice C: number of fruit = 10
average = 25.29 / 10 = 2.529 (outside of range, not the answer)
Choice D: number of fruit = 50
average = 25.29 / 50 = 0.5058 (outside of range, not the answer)
From the above, we can see that only B gives an average between 1.4 and 1.6 lb.
Answer:
B
Step-by-step explanation:
GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.
This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.
recall that : average weight = total weight / number of fruit
we are given than total weight = 25.29 lb, so
average weight = 25.29 / number of fruit
Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.
Choice A: number of fruit = 19
average = 25.29 / 19 = 1.33 (outside of range, not the answer)
Choice B: number of fruit = 17
average = 25.29 / 17 =1.49 (within range , possible answer)
Choice C: number of fruit = 10
average = 25.29 / 10 = 2.529 (outside of range, not the answer)
Choice D: number of fruit = 50
average = 25.29 / 50 = 0.5058 (outside of range, not the answer)
From the above, we can see that only B gives an average between 1.4 and 1.6 lb.
The largest sandwich ever made weighed 5440 pounds. If everyone on Earth shares the sandwich equally, how much would you get? what fraction of a regular sandwich does this represent?
Final answer:
If everyone on Earth shared the largest sandwich ever made equally, each person would get approximately 0.00000069 pounds of the sandwich. This represents a fraction of 69/1,000,000,000 of a regular sandwich.
Explanation:
To find out how much each person would get if everyone on Earth shared the largest sandwich ever made equally, we can divide the weight of the sandwich by the population of the Earth. According to the most recent estimates, the population of the Earth is approximately 7.9 billion people.
So, if we divide the weight of the sandwich (5440 pounds) by the population of the Earth (7.9 billion), each person would get approximately 0.00000069 pounds or 0.00000031 kilograms of the sandwich.
To express this as a fraction of a regular sandwich, we need to compare it to the weight of a regular sandwich. Let's say a regular sandwich weighs 1 pound. In that case, the amount each person would get from the largest sandwich ever made represents a fraction of 0.00000069/1 or simply 69/1,000,000,000 of a regular sandwich.
ILL GIVE BRAINLEST AND POINTS
Answer:
P'(2, - 2 )
Step-by-step explanation:
The translation rule
(x, y ) → (x + 9, y - 3 )
Means add 9 to the original x- coordinate and subtract 3 from the original y- coordinate, thus
P(- 7, 1 ) → P'(- 7 + 9, 1 - 3 ) → P'(2, - 2 )
Answer:
2,-2
Step-by-step explanation:
What is 8,147 ÷ 24 with a remainder
Answer:
339 R11
Step-by-step explanation:
8,147 ÷ 24 = 339 R11
Find three different pairs of fractions which multiply to 25/32.
Answer:
Step-by-step explanation:
5/8*5/4=25/32
1/16*25/2=25/32
25/16*1/2=25/32
To find three different pairs of fractions that multiply to 25/32, start by factoring the numerator and denominator. Then pair up the factors to form fractions.
Explanation:To find three different pairs of fractions that multiply to 25/32, we can start by factoring the numerator and denominator of 25/32. 25 can be factored as 5 * 5 and 32 can be factored as 2 * 2 * 2 * 2 * 2. We can then pair up the factors to form fractions:
5/2 * 5/2 = 25/45/2 * 5/32 = 25/645/2 * 1/4 = 5/8So, three different pairs of fractions that multiply to 25/32 are 5/2 * 5/2 = 25/4, 5/2 * 5/32 = 25/64, and 5/2 * 1/4 = 5/8.
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Pia uses 6 cups of sugar to make 8 pies
At that rate , how much sugar will it take to make 12 pies
3 cups + the original 6 = 9 cups.
Answer:
The answer is 9 cups of water
Step-by-step explanation:
The ratio of the number of hours it takes the three pipes A, B and C to fill an olympic pool is 4:9:12. Answer each of the following questions if it is known that the second pipe takes 72 hours to fill the pool.
b
How long would it take to fill the pool if pipes A and C work to fill the pool and pipe B drains the pool at the same rate as it would be filling it?
Answer:
36 hours
Step-by-step explanation:
12-2/3x=x-18 so how do you answer this question
Answer:
x=18
Step-by-step explanation:
12-2/3x=x-18
12-2/3x-x=-18
12-2/3x-3/3x=-18
12-5/3x=-18
5/3x=12-(-18)
5/3x=12+18
5/3x=30
x=30/(5/3)
x=(30/1)(3/5)
x=90/5
x=18
Answer:
x = 18Step-by-step explanation:
[tex]12-\dfrac{2}{3}x=x-18\qquad\text{subtract 12 from both sides}\\\\12-12-\dfrac{2}{3}x=x-18-12\\\\-\dfrac{2}{3}x=x-30\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\left(-\dfrac{2}{3\!\!\!\!\diagup_1}x\right)=3\cdot x-3\cdot30\\\\-2x=3x-90\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-2x-3x=3x-3x-90\\\\-5x=-90\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5x}{-5}=\dfrac{-90}{-5}\\\\x=18[/tex]
Francis is constructing a line parallel to EF through point G.
What step should be his next step?
With the compass point on G and a wider opening
.than was used to construct the first arc, construct
an arc that intersects GD and EF.
o
With the compass point on G and the same
opening that was used to construct the first arc,
construct an arc that intersects GD on the
opposite side of point A and extends to the right of
point G.
With the compass point on A and the same
opening that was used to construct the first arc,
construct an arc that intersects GD on the same
side of point A as point G and extends to the right
of point G.
With the compass point on G and a wider opening
than was used to construct the first arc, construct
an arc that intersects EF twice
Answer:
Hope I helped!
Step-by-step explanation:
To construct a parallel line, set the compass to the same opening used for the first arc and draw an arc from point G that intersects line GD. This creates a parallel line to line EF through G.
Explanation:To construct a line parallel to EF through point G, Francis should set the compass point on G and adjust the compass to the same opening that was used to construct the first arc. He then needs to create an arc that intersects GD on the opposite side of point A and extends to the right of point G. This step ensures that the line through G will have the same angle with GD as EF does with GD, allowing it to be parallel to EF.
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a cyclist rides his bike at a rate of 10 kilometers per hour.what is this rate in miles per hour? how many miles will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kiolmeters. Do not round your answers
Answer:
Step-by-step explanation:
A cyclist moving at 10 kilometers per hour is traveling at a rate of 6.25 miles per hour. Over 4 hours, the cyclist will travel a total distance of 25 miles.
Explanation:To convert kilometers per hour to miles per hour, you have to divide the kilometers value by 1.6 (because it's given that 1 mile = 1.6 kilometers). So, if the cyclist is cycling at 10 kilometers per hour, this translates to 10 / 1.6 = 6.25 miles per hour.
Next, to find out how many miles the cyclist will travel in 4 hours, we'll simply multiply this rate by the time. So, 6.25 (miles per hour) * 4 (hours) = 25 miles.
Therefore, the cyclist, if maintaining a speed of 10km per hour, will travel 25 miles in a 4 hour time span.
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What is 3(1+6r)=14-12
Answer:
r = 0.055555.....
Step-by-step explanation:
3(1+6r)=14-12 Write out formula.
3+18r=2 Distributive Property Form.
(3-3)+18r=2-3 Subtract 3 to both sides.
(18/18)r=-1/18 Divide both sides by 18
r=0.055555..... or -1/18.
Jeff is kepping Trace of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6weeks , he weighs 186 pounds. Write and solve a linear equation to find Jeff’s weight after 12 weeks
The linear equation is y = -2 x + 198
Jeff’s weight after 12 weeks is 174 pounds
Step-by-step explanation:
Jeff is keeping Trace of his weight over several weeks
After 2 weeks, he weighs 194 poundsAfter 6 weeks , he weighs 186 poundsWe need to write a linear equation represents the Jeff’s weight, and find his weight after 12 weeks
The form of the linear equation is y = mx + b, where m is the slope of the line, and b is the y-intercept
The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Let y represents Jeff's weight in x weeks
∵ After 2 weeks, he weighs 194 pounds
∴ [tex](x_{1},y_{1})[/tex] = (2 , 194)
∵ After 6 weeks , he weighs 186 pounds
∴ [tex](x_{2},y_{2})[/tex] = (6 , 186)
- Use these two points to find m
∵ [tex]m=\frac{186-194}{6-2}=\frac{-8}{4}=-2[/tex]
∴ m = -2
- Substitute the value of m in the form of the equation
∴ y = -2 x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ x = 2 and y = 194
∴ 194 = -2(2) + b
∴ 194 = -4 + b
- Add 4 to both sides
∴ 198 = b
∴ y = -2 x + 198
The linear equation is y = -2 x + 198
To find his weight after 12 weeks substitute x by 12 in the equation
∵ x = 12
∴ y = -2(12) + 198
∴ y = -24 + 198
∴ y = 174
Jeff’s weight after 12 weeks is 174 pounds
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The ordered pairs of A and C are not functions
Step-by-step explanation:
To determine if the ordered pairs are a function you look at the x values to see if they repeat. You don't want one input(x values) to lead to two outputs(y values). This would mean that you are never sure which output you will get.
In the answer A the x value "2" repeats, in the answer C the x value "1" repeats thus not making them functions.
Negative 3 is twice as large as a number,h
Answer:
negative 6 is the answer
Step-by-step explanation:
Please solve question 75
Good evening ,
Answer:
(C) 36
Step-by-step explanation:
The length of the continuous solid path from P To Q = 3×(Length of the dashed line) = 3×(12) = 36 in.
:)
=========================================
Explanation:
Check out the attached image below. Basically I drew out the given diagram and then I added the variables a,b,c,d,e,f,g. Those variables represent the side lengths of the 7 squares. Each square has a perimeter of 4*s where s is the side length, but we dont consider the side that is running along the dashed line (that connects P directly to Q). So we have 3 sides per square added up.
The first square has us travel a distance of 3*a, then the second square a distance of 3*b and so on. Overall, the total distance traveled is
3a+3b+3c+3d+3e+3f+3g = 3(a+b+c+d+e+f+g)
The goal is to figure out what a+b+c+d+e+f+g is equal to. This is equal to the length of segment PQ since the 7 letters are pieces of segment PQ (i.e., I'm using the segment addition postulate).
In other words,
a+b+c+d+e+f+g = 12
3(a+b+c+d+e+f+g) = 3*12
3(a+b+c+d+e+f+g) = 36
Total distance traveled = 36
what is 1000 times 0.072 I need help
Answer:
72
Step-by-step explanation:
If you move the decimal point 3 times, you get 72!
Answer:
72. the decimal point will move. (promise not copying) (the other person can get the credit though)
Step-by-step explanation:
a pair of shoes with cost rupees 320 was sold at a loss of 5% what was the selling price if it is sold at profit of 20% find the gain percent if it were sold for Rs360
Answer:
Please see the answer below:
Step-by-step explanation:
1. Loss 5%
Cost = Rs.320
Loss % = 5% = 0.05
Sale Price = Rs.320 - (Rs.320 x 0.05) = Rs.320 - Rs.16 = Rs.304
2. Profit 20%
Cost = Rs.320
Profit % = 20% = 0.20
Sale Price = Rs.320 + (Rs.320 x 0.2) = Rs.320 + Rs.64 = Rs.384
3. Sold for Rs.360
Cost = Rs.320
Sale Price = Rs.360
Gain % = (Rs.360 - Rs.320) / Rs.320 = Rs.40 / Rs.320 = 0.125
or
Gain % = 12.5%
Answer:
If sold at a loss of 5%, the selling price would be Rupee 304
If sold at a Profit of 20% the selling price would be Rupee 384
Step-by-step explanation:
Cost of shoes = Rupees 320
Loss incurred (5% x 320) = Rupees 16
Price of shoe = (320 - 16) = 304
The selling price if sold at a loss of 5% would be Rupees 304
IF SOLD AT A PROFIT OF 20%
Cost of shoes = Rupees 320
Loss incurred (20% x 320) = Rupees 64
Price of shoe = (320 + 64) = 384
The selling price if sold at a loss of 5% would be Rupees 384
A motorboat traveling with a current can go 160km in 4 hours. against the current it takes 5 hours to go the same distance. find the speed of motorboat and speed of current
To find the speed of the motorboat and the current, two equations were set up based on the distances and times provided. The system of equations was solved to find the boat speed to be 36 km/h and the current speed to be 4 km/h.
Explanation:The student is asking a question related to the mathematical concept of relative motion involving a motorboat and a current.
To solve this problem we can set up two equations based on the information given:
With the current: Distance = (Boat Speed + Current Speed) * TimeAgainst the current: Distance = (Boat Speed - Current Speed) * TimeUsing the distances and times provided:
160 km = (Boat Speed + Current Speed) * 4 hours160 km = (Boat Speed - Current Speed) * 5 hoursWe can solve this system of equations to find the values for Boat Speed and Current Speed.
Let the speed of the boat be b and the speed of the current be c. From equation (1), we can express c in terms of b:
c = 40 - b (1)
Substitute c from equation (1) into equation (2):
160 = (b - (40 - b)) * 5
160 = (2b - 40) * 5
160 = 10b - 200
360 = 10b
b = 36 km/h
So the speed of the boat is 36 km/h. Now we can find the speed of the current using equation (1):
c = 40 - b
c = 40 - 36
c = 4 km/h
The speed of the current is 4 km/h.
Jill has four bags of marbles there are three red five green to yellow and 6 black marbles in each bag how many marbles does Jill have show how you found the answer...Helppp
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3 x 4 = 12
5 x 4 = 20
2 x 4 = 8
6 x 4 = 24
12 + 20 + 8 + 24 = 64
She has 64 marbles
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a rocking horse has a weight of 60 pounds. what percentage of the weight is 114 pounds?
Answer:
190% I believe, I hope this helped!
Step-by-step explanation:
Find the factorization of 180
Answer:
180=2^2×3^2×5
Step-by-step explanation:
We have to obtain the factors of 180 which are prime numbers
A prime number being a number with only 2 factors.That is 1 and the number itself.
For example 5 only has 2 factors 1 and 5⇒5=1×5
Here are the first few prime numbers
2,3,5,7,11,13,.....
A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.
Answer:
5 x 2 x 2 x 3 x 3
Step-by-step explanation:
I basically did the prime factors of 18 which is 1, 2, 3, 6, 9, 18. I broke it down elminated any other numbers not referring to the prime factor. Thats how you get your answer sorry if it's not a good explantion
A pair of jeans is regularly $129.99, on sale for $90.99 before tax. What is the percent markdown?
The percent markdown is 30%
Step-by-step explanation:
Given
Regular price of jeans = r = $129.99
Sale price = s = $90.99
The percent markdown can be given by the formula:
[tex]percent\ markdown = \frac{Markdown}{Regular\ price}*100[/tex]
Where markdown = Regular price - Sale price
So,
[tex]Markdown = r -s\\= 129.99 - 90.99\\=39[/tex]
Putting the values in the formula
[tex]Percent\ Markdown = \frac{39}{129.99} * 100\\=0.300 * 100\\=30\%[/tex]
Hence,
The percent markdown is 30%
Keywords: Percentage, markdown
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Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Write and inequality to model the number of weeks,x, that he can withdraw $40 to maintain the minimum balance requirement.
Answer:
x is less than or equal to 24Step-by-step explanation:
If 1000 divided by 40 equals 25, then you would want to stay under that.
so your next best bet is 24
then we just input our variable and sign
[tex]x \leqslant 24[/tex]
Which number line shows the solution set for |h-3|>5
Final answer:
The solution set for |h-3|>5 is h > 8 and h < -2, which on a number line is all values to the right of 8 and to the left of -2, with open circles at -2 and 8.
Explanation:
The question requires us to find the solution set for the inequality |h-3|>5 on a number line. To solve an absolute value inequality, we split the problem into two separate inequalities based on the definition of absolute value:
For h - 3 > 5, we add 3 to both sides to get h > 8.For h - 3 < -5, we again add 3 to both sides, which gives h < -2.
Therefore, the solution set on the number line includes all values to the right of 8 and all values to the left of -2. Remember, these are not included in the solution set because the inequality is strict (>). This means we use open circles or unshaded dots to represent -2 and 8, and shade the number line to the right of 8 and to the left of -2.
Given: ΔABC is a right triangle. AC = 20 BC = 5 Determine the length of the missing side of ΔABC. When applicable, simplify radicals and show all of your work.
Answer:
[tex]AB=5\sqrt{15}\ units[/tex]
Step-by-step explanation:
we know that
In the right triangle ABC
we have
[tex]AC=20\ units[/tex] ----> is the hypotenuse
[tex]BC=5\ units[/tex] ----> is a leg
[tex]AB=?\ units[/tex] ----> is a leg
see the attached figure to better understand the problem
Applying the Pythagorean Theorem
[tex]AC^2=AB^2+BC^2[/tex]
substitute the given values
[tex]20^2=AB^2+5^2[/tex]
solve for AB
[tex]AB^2=20^2-5^2[/tex]
[tex]AB^2=375[/tex]
[tex]AB=\sqrt{375}\ units[/tex]
simplify
we know that
[tex]375=(25)(15)=5^2(15)[/tex]
substitute
[tex]AB=\sqrt{5^2(15)}\ units[/tex]
[tex]AB=5\sqrt{15}\ units[/tex]
Please help The triangles below are similar. Find the value of x. Show all work
Answer:
Step-by-step explanation:
The ratio is 12/8 or 3/2
So we can use proportions
3/2=x/15
x=22.5
What is the absolute value of the expression of negative 5X +12 when X equals five
Answer: 13
Step-by-step explanation:
x = 5
-5 (5) + 12
-25 + 12
-13
abs(-13) = 13
To find absolute value, solve the equation as is and then make the answer positive.
What is the solution of square 2x+4=16?
A)x=6
B)x=72
C)x=126
D)no solution
Answer:
Its 126 i think
Step-by-step explanation:
Answer:
C) x=126
Step-by-step explanation:
A Gardner plants two trees
Type A is 9 feet tall and grows a rate of 17 inches per year
Type b is 2 feet tall and grows a rate of 24 in per year
Algebraically determine exactly how many years it will take for these trees to be the same height
Answer:
After 12 yrs the height of both trees type A and type B will be same.
Step-by-step explanation:
Given,
Height of Type A at the time of planting = [tex]9\ ft=9\times12=108\ in[/tex]
Height of Type B at the time of planting = [tex]2\ ft=2\times12=24\ in[/tex]
Let the number of years be 'x'.
After 'x' years height of Type A = [tex]108+17x[/tex]
After 'x' years height of Type B = [tex]24+24x[/tex]
We have to find out the number of years will take for these trees to be the same height.
Now according to question, after 'x' years the height of plant type A and plant type B will be equal.
[tex]108+17x=24+24x[/tex]
Combining the like terms, we get;
[tex]24x-17x=108-24\\\\7x=84\\\\x=\frac{84}{7}=12\ yrs[/tex]
Hence After 12 yrs the height of both trees type A and type B will be same.