Answer:
Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.
Step-by-step explanation:
The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.
The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.
You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is spent on rent?
Answer:
3/10
Step-by-step explanation:
1/5 of total income - spent on car
remainder income = 4/5
3/8 of remainder = 3/8 ×4/5 = 3/10(of total income spent on rent)
the word "of" means you can find it by multiplication
e.g. 2 of 1/2 means 2 × 1/2 which is 1
helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answer:
the data are skewed, D.
Step-by-step explanation:
PLEASE HELP! sketch y = 3x − 2
Answer:
The graph of the equation y=3x-2 is shown in the picture below!!
Step-by-step explanation:
I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!
Answer:
Look at the image below ↓
The x stands for the slope and the y stands for the equation.
2) Which of the following could be the equation
of the graph shown below?
Answer:
D
Step-by-step explanation:
From the graph, the solutions are x = -2 and x = 3, therefore, the equation must be (x - (-2)) * (x - 3) = (x + 2)(x - 3).
Write an expression of 4 less than twice a number
Answer:
2x-4
Step-by-step explanation:
you can't really explain this, is just have the meaning 4 less twice a number.
I wish this is the correct one and will help you!
Answer:
2x-4
Step-by-step explanation:
If A = 8! and B = 8P8, then which one of the following is true: A > B not enough information A < B A = B
Answer:
A = B
Step-by-step explanation:
A = 8! = 8*7*6*5*4*3*2*1 = 40320
B = 8P8 = 8! / ( 8-8)! = 8! = 0! = 8! /1 = 8! = 40320
A = B
Lin solved the equation 8 (x - 3) +7= 2x (4 - 17) incorrectly.
Find the 2 errors in her solution.
What should her answer have been?
Answer:
Her final answer should have been x = 1/2.
Step-by-step explanation:
Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.
Correct solution:
8(x-3)+7=2x(4-17)
8x-24+7=8x-34x
-17=-34x
The negatives on both sides cancel each other out
x = 1/2
Answer:
x=1/2
Step-by-step explanation:
8(x-3)+7=2x(4-17)
8(x-3)+7=2x(-13)
This is where Lin's first mistake appears, 4-17 is -13, not positive 13.
Next, Lin distributes.
8x-24+7=26x
This is right with Lin's equation, since Lin got 13 instead of -13.
However, if we were doing it correctly from the start, it should be:
8x-24+7=-26x
Okay, after 8x-24+7=26x Lin simplifies again to:
8x-17=26x
She then tries to eliminate 8x.
What she does wrong here, is that she subtracts 8x from the left, and adds 8x to the right.
This makes it so that the equation is not equal anymore, because what you do to one side, you must do to the other.
This is Lin's second mistake.
What she should have gotten is
-17=18x.
Okay, now that we have found her mistakes, let's solve this correctly.
8(x-3)+7=2x(4-17)
8(x-3)+7=2x(-13)
Distribute.
8x-24+7=-26x
8x-17=-26x
Add 17 to both sides.
8x=-26x+17
Add 26x to both sides.
34x=17
x=1/2
Her answer should have been 1/2.
PLEASE HELPPP A bowler gets a strike 25% of the time. If he throws the ball 20 times, find the probability that he gets: a) five strikes b) at least one strike
Hey there! I'm happy to help!
------------------------------------------------------------------
PART A
We see that our bowler gets a strike 25% or 1/4 of the time. This means he has a 75% chance of not getting a strike. To find the probability of him getting five strikes, we use multiplication rule, which says that if you multiply the probability of one event by another it equals the probability of both events occurring.
However, this time, we have twenty separate throws, and we have to multiply all of the probabilities of a certain event happening on each roll. This means that we will multiply five 25%s to signify the five strikes and 15 75%s to represent the 15 times he misses and this will give us the probability of this event happening. I will put these in decimal form for now and then convert it back. I will also use exponents so I don't have to write out the entire thing.
P(5 strikes)=0.25^5×0.75^15≈0.000013=0.0013%
The probability of him getting five strikes is 0.0013%.
------------------------------------------------------------------
PART B
To find the answer, we will first need to find the probability that he makes no strike at all, which will 75% multiplied 20 times.
P(no strike)=0.75^20≈0.003171211938934
We see that the percentage of the bowler getting a strike is 25%, while a miss is 75%. These add up to 100%. If these add up to 100%, then so should to probabilities of making at least one strike and making no strike at all!
100%-0.003171211938934%≈99.999682%
Basically, with twenty throws, he is guaranteed to make at least one strike with a probability of about 99.99%.
I hope that this helps! Have a wonderful day!
help pls
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4. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
3. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
4
triangle congruence
5. State what additional information is required to
prove AUML = AKLM by SAS.
6. State what additional information is required to
prove AJHI AUSI by SAS.
M
Answer:
1). x = 10 m
2). x = 15 cm
3). x = 5 yd
4). AB = 10 units
Step-by-step explanation:
1). By Pythagoras theorem in the given triangle,
a² + b² = c²
Where 'c' = Hypotenuse
a and b = Legs of the right triangle
By substituting measures of the sides in the formula,
x² = 8² + 6²
x = [tex]\sqrt{100}[/tex]
x = 10 m
2). By using Pythagoras theorem in this triangle,
x² = 9² + (12)²
x² = 81 + 144
x = [tex]\sqrt{225}[/tex]
x = 15 cm
3). By Pythagoras theorem,
(13)² = x² + (12)²
169 = x² + 144
169 - 144 = x²
25 = x²
x = 5 yd
4). If BD is a perpendicular bisector of AC,
AD = CD = 6 cm
By Pythagoras theorem in ΔABD,
AB² = BD² + AD²
AB² = 8² + 6²
AB = [tex]\sqrt{100}[/tex]
AB = 10 units
help me with this question ;<;
Let's set this up in equation form!
We know that 15 equals b and 8 together.
15 = b + 8
b = 7
The value of b that makes the equation true is 7.
Hope this helps!! :)
Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive miles.
Answer:
180 miles
Step-by-step explanation:
d = rt
d = 60*3 = 180 miles
Answer:
Step-by-step explanation:
Distance traveled in an hour = 60 miles
Distance traveled in 3 hours = 60 * 3 = 180 miles
Match each set of ordered pairs on the left with the correct description of the relation
given by the set on the right. The descriptions on the right will be used more than
once.
{(13,6), ( – 8,3), (21, – 4), ( – 6,0), (9, – 4)}
function
{(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)}
not a
function
{(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)}
{( - 43, – 75), (61, – 75), (- 35, – 75), (82, - 75), (28, – 75)}
Answer:
{(13,6), ( – 8,3), (21, – 4), ( – 6,0), (9, – 4)} function
{(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)} not a function
{(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)} not a function
{( - 43, – 75), (61, – 75), (- 35, – 75), (82, - 75), (28, – 75)} function (but flat-lined !)
Step-by-step explanation: To be a function, each x-value must have a unique y-value
In the set {(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)} —16 has both 8 and –72 as y values so it is not a function
In the set {(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)} 325 has both 129 and 911 so it is not a function.
It is ok for y-values to be repeated, but only for different x-values
What is the y-intercept of line MN?
What is the equation of MN written in standard form?
Answer:
y-intercept of the line MN = 2
Standard form of the equation ⇒ x + y = 2
Step-by-step explanation:
Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)
Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-0}{-3-2}[/tex]
= -1
Equation of the line MN passing through (-3, 5) and slope = -1,
y - 5 = (-1)(x + 3)
y - 5 = -x - 3
y = -x + 2
This equation is in the y-intercept form,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, y-intercept of the line MN = 2
Equation in the standard form,
x + y = 2
the first one is : -1
the second one is: y-5 = -1 ( x + 3)
the third one is: -x + 2
the first one to the right side is: 0,2
and the second one on the right side is: x+y=2
your welcome
Solve 7x = 49 for x. Thank you however answer’s this
Answer:
x=7
Step-by-step explanation:
To solve for x, we need to isolate it by itself. We can do that by getting rid of the 7. Since the 7 is being multiplied with the x, we need to divide by 7 to cancel it out. When doing something to one side of the equation, we must always to the same to the other.
Divide both sides by 7
x=7
Answer:
x = 7
Step-by-step explanation:
All you have to do to solve this question is divide 7 on both sides so,
7x / 7 = 49 / 7
7x / 7 = 1 or x
49 / 7 = 7
So your answer will be,
x = 7
Hope this helps!!
Use the coordinates of the labeled point to find the point-slope equation of the line (0,3) (2,-1)
Answer:
y-3=-2(x+0)
Step-by-step explanation:
Answer: see below
Step-by-step explanation:
Use the slope (m) formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)
[tex]m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2[/tex]
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):
y - 3 = -2(x - 0) --> y - 3 = -2x
Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):
y - (-1) = -2(x - 2) --> y + 1 = -2(x - 2)
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 Answer: < 3rd side
Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below [tex]180^o[/tex] (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
Answer:
7<x<37
Step-by-step explanation:
Here is the formula to solve range questions:
22-15<x<22+15
Graph the image of this figure after a dilation with a scale factor of 1/3
centered at the origin.
Answer:
(-1,1), (1,3), (2,2)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 1/3 --> 1/3(x, y)
Before-> After dilation
1/3(-3,3) = (-1,1)
1/3(3,9) = (1,3)
1/3(6,6) = (2,2)
Please leave a 'thanks' if this helps!
I have no clue. Somebody help plz!
Answer:
arithmetic, finite
Step-by-step explanation:
Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.
The entire series consists of the 10 terms shown, so the series is finite.
_____
If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!
Answer:
Step-by-step explanation:
as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 fta. The length of the diagonal is approximately 15.74 feet.
b. The length of the shorter base is approximately 27.77 feet.
a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:
h = (7/2) * tan(140°)
h ≈ (7/2) * (-1.376381920471173)
h ≈ -4.796335681196056
Now, substitute the values into the formula for the diagonal:
[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]
Therefore, the length of the diagonal is approximately 15.74 feet.
b. To find the length of the shorter base (b), we can use the given information and the law of cosines:
[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]
Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).
To know more about length, refer here:
https://brainly.com/question/30177995
#SPJ2
Can someone help me with the question please
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
[tex]y = ax+b \\[/tex]
here [tex]b = 0[/tex] so [tex]y = ax[/tex]
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
[tex]y = 2x \\[/tex]
Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]
Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
100,000 people are currently sick with disease. If that disease spreads at rate of 50% per week, how many weeks will it be until 1,000,000 people are infected?
Answer:
If you mean it speads at the amount of 100,000 it would be only 10 weeks before 1,000,000 people are effected
or If you mean 50% percent of 100,000 which is 50,000 it would take a total of 20 weeks before 1,000,000 people are infected
Hope this answered your question.
Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? How many balls did Jared and Zach throw.
Answer:
D. 0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
Answer:
0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
They both made 101 shots.
Jared attempted 60 shots.
Zach attempted 70 shots.
i need help plz help
Answer:
B. 70%
Step-by-step explanation:
7/10 of the numbers are more than 5
7/10= 70%
Answer:
Option B
Step-by-step explanation:
This is a nice and simple question. Here we can assume that next year, will be somewhat related to this graph - so this is only the theoretical probability. Therefore, if we can calculate the probability with which there are more than 5 inches of rain, it will apply to the next year as well.
____________
Taking a look at the graph, we see that 7 out of the 10 years given to us are greater than 5 inches of rainfall. Therefore, the probability that there will be more than 5 inches of rainfall next year should be 7 / 10 ( 7 years / 10 years ), and 7 / 10 with respect to percent would be 70%. Your solution is the second option.
anyone able to help solve these 2 and find the domain?
Answer:
A
Step-by-step explanation:
This is a function since no value gives two different outputs
m⇒2n⇒3p⇒2q⇒3The domain is (m,n,p,q) since it's the values that we input in the function
Can someone help me with these? I’m having confusion with these problems. If you can help, can you possibly show me on a paper on how to do this?
Answer:
see attachment
Step-by-step explanation:
To work these, you need a pencil (with a fairly sharp point) and a compass or pair of dividers (a compass-like tool with two points, instead of a point and a pencil).
In the attached, the blue segment represents the compass set to the length of segment 'a'. The red segment represents the compass set to the length of segment 'b', and the green segment represents the compass set to the length of segment 'c'.
When the segments are shown end-to-end, it means you mark off that length on the line, then mark off the next length starting at the end of the first one. When the segments are shown overlapping, it means you mark one of the segments in the reverse direction (you subtract its length).
You may find it helpful to use your pencil to mark a starting point on the target line. If you use a compass, a small arc across the target line at the end of the segment length can help you locate the start of the next segment length.
__
(1) The length of segment 'b' is added to the length of segment 'a'. This is not different in concept from adding numbers on a number line.
(2) The length of segment 'b' is made to overlap the end of segment 'a', so that the end points of the two segments are the same point. This subtracts the length of 'b' from that of 'a', so the length 'a-b' is the length from the left end of 'a' to the left end of 'b' in the configuration shown.
(3) You get the length '2b' by appending the length of 'b' to itself.
(4) All three lengths are appended to each other here.
(5) As before, you get 2b by appending 'b' to itself. You subtract 'c' by backtracking over the previous length, as in part (2).
__
You will get best results if you use this (attachment) as a guide. The line segments drawn are only eyeball approximations of the segments on your page, and their placement end-to-end is not as precise as you can make it with your compass.
PLEASE HELP! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
The answer is D: the number of candies in a box.
Step-by-step explanation:
Answer:
D) number of candies in a box
Step-by-step explanation:
The table of values shows the number of minutes since Raul got online at an Internet cafe and the total amount he paid up until that point. If x is the number of minutes since Raul got online and y is the total amount he paid in dollars, which equation models this situation? Number of Minutes Since Raul Total Amount Paid Got Online 0 min 4.00 2min 4.12 4min 4.24 6min 4.36 8min 4.48 answer choice A x = 0.06y + 4 B x = 0.12y + 4 C y = 0.06x + 4 D y = 0.12x + 4
Answer: C) ŷ = 0.06X + 4
Step-by-step explanation:
Given the following :
Number of minutes since Rahul got online :
0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8
Total amount paid :
4.0 - - - 4.12 - - - 4.24 - - - 4.36 - - - 4.48
Using the online regression calculator to create a linear model with number of minutes since Rahul got online on the x-axis and the total amount paid on the y-axis :
The linear model obtained is : ŷ = 0.06X + 4
With y being the predicted variable
X = values of the independent variable
0.06 = gradient or slope of the line
4 = intercept
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answer: -third
Step-by-step explanation:
Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?
Step-by-step explanation:
the inverse of the inverse of a function is the function itself
It's like going and coming back
f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41Answer:
9
Step-by-step explanation:
The inverse of the inverse is the input
f^-1 (f^-1(9)) = 9
As a proof
f(x) = 4x+5
y = 4x+5
Exchange x and y
x = 4y+5
Solve for y
(x+5) = 4y
(x+5)/4 = y
f^-1 (x) = ( x-5)/4
Then find the inverse of this function
y = ( x-5) /4
Exchange x and y
x = (y-5)/4
4x = y-5
4x+5 = y
Which gives us the original function back
f^-1( input) = 4x+5
Using the value given
f^-1 (9) = ( 9-5)/4=4/4 =1
Using the 1 from the previous part as the input
f^-1( 1) = 4*1+5 = 4+5 = 9