Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
The slope is 6, which means that the amount the student raised increases by $6 each hour.
The slope is one sixth, which means that the amount the student raised increases by $0.34 each hour.
The slope is 12, which means that the student will finish raising money after 12 hours.
The slope is 20, which means that the student started with $20.
Answers
Answer: The answer is A. The slope is 6, which means that the amount the student raised increases by $6 each hour.
Step-by-step explanation: I hope this help.
The correct interpretation is option (A) The slope is 6, which means that the amount the student raised increases by $6 each hour.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
The slope is 6, which means that the amount of money Laila raised increases by $6 for every hour she danced. In other words, for each additional hour of dancing, Laila raised an additional $6 in donations.
This indicates a linear relationship between the number of hours Laila danced and the amount of money raised.
The y-intercept is 20, which means that when Laila did not dance at all, she still managed to raise $20 for the Animals are Loved Shelter.
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Related Questions
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
A: U′(0, −2), V′(−1, −3), W′(−3, −3)
B:U′(0, −2), V′(1, −3), W′(3, −3)
C:U′(2, 0), V′(3, −1), W′(3, −3)
D: U′(−2, 0), V′(−3, 0), W′(3, −3)
Answers
x' = -y
y' = x
For each vertex (x, y) in the original triangle, we can apply this formula to get the corresponding vertex in the image.
Let's start with vertex U(-2, 0):
x' = -y = 0
y' = x = -2
So, U' is at (0, -2).
Now, let's consider vertex V(-3, 1):
x' = -y = -1
y' = x = -3
So, V' is at (-1, -3).
Finally, let's consider vertex W(-3, 3):
x' = -y = -3
y' = x = 3
So, W' is at (-3, -3).
Therefore, the vertices of the image triangle U'V'W' are (0, -2), (-1, -3), and (-3, -3).
Thus, the correct answer is option A: U′(0, −2), V′(−1, −3), W′(−3, −3).
Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?
Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)
Answers
The correct answer is Point A' is located at (-5, -4).
When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).
How much liquid does this cup contain?
A. Between 1/3 cups and 1/2 cups B. Between 1/2 cups and 2/3 cups C. Between 2/3 cups and 5/6 cups D. Between 5/6 cups and 1 cups
Answers
Which of the following sets of ordered pairs represents a function?
A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}
Answers
Answer:
A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.
Using this definition, we can determine which of the sets of ordered pairs represents a function:
A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.
B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}
The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.
C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.
D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
Each input has only one output, so this set represents a function.
Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
Question 12(Multiple Choice Worth 2 points)
(Three-Column Tables MC)
The relationship between the number of pies-to-cakes chosen by middle school students as their favorite dessert is shown in the table.
Pie 36 42 60
Cake D 7 C
Total 42 A B
What is the value of C in the table?
6
10
49
70
Answers
Answer:
The value of C in the table is 0. Total number of cake lovers = Total - (number of students who chose pie) = 138 - (36 + 42 + 60) = 138 - 138 = 0
Step-by-step explanation:
The value of C in the given table is 10. Therefore, option B is the correct answer.
What is proportionality?The property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
From the given table,
42/7 = 60/C (Using proportionality)
6=60/C
C=10
Therefore, option B is the correct answer.
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The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards
Answers
Answer:
Let's start by using the formula for the area of a rectangle:
area = length x width
We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:
9 3/4 = (13/4) x width
To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:
(9 3/4) x (4/13) = (13/4) x (4/13) x width
3 = width
Therefore, the width of the swimming pool is 3 yards, which is option A.
John puts $70 in a savings account that earns 6% annually. The interest is not compounded. How many years will it take John to make at least $100 in interest?
Answers
Answer:
24 years
Step-by-step explanation:
If interest is not compounded, it is called simple interest.
Simple interest is calculated as a percentage of the principal amount and is applied only to the principal.
The formula for simple interest is:
[tex]\boxed{\sf I = Prt}[/tex]
where:
I = Total interest earned.P = Principal amount.r = Interest rate (in decimal form).t = Time (in years).The given values are:
I = $100P = $70r = 6% = 0.06Substitute the given values into the formula and solve for t:
[tex]\implies \sf 100=70 \cdot 0.06 \cdot t[/tex]
[tex]\implies \sf 100=4.2 t[/tex]
[tex]\implies \sf 4.2 t=100[/tex]
[tex]\implies \sf \dfrac{4.2 t}{4.2}=\dfrac{100}{4.2}[/tex]
[tex]\implies \sf t=23.8095238...\;years[/tex]
We need to round up to the next year. Therefore, it will take 24 years for John to make at least $100 in interest.
Answer:
approx. 24 years
Step-by-step explanation:
The formula to find the simple interest is:
[tex]\sf I= \frac{prt}{100}[/tex]
Here,
I ⇒ Interest ⇒ $ 100
p ⇒ principle ⇒ $ 70
r ⇒ rate ⇒ 6
t ⇒ time ( years )
Let us find the time taken using the formula.
[tex]\sf I= \frac{prt}{100}\\\\100=\frac{70*6*t}{100} \\\\100*100=420t\\\\10000=420t\\\\23.8\: years=t\\\\approx. \:24 \:years=t[/tex]
Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90° clockwise rotation
90° counterclockwise rotation
270° counterclockwise rotation
180° clockwise rotation
Answers
Answer:
90° counterclockwise rotation
Where would -4,9 be on a coordinate grid
A-1st
B-2nd
C-3rd
D-4th
Answers
The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position of the point.
In this case, the x-coordinate is -4, which means the point is 4 units to the left of the origin. The y-coordinate is 9, which means the point is 9 units up from the origin.
Therefore, the point (-4,9) is located in the 2nd quadrant of the coordinate grid, since it is to the left of the origin (in the negative x-direction) and above the origin (in the positive y-direction).
So, the correct answer is B-2nd.
A scatter plot is shown.
Which of these statements are true for the scatter plot? Select all that apply.
The scatter plot shows a negative association
The scatter plot shows a nonlinear association
The scatter plot shows two clusters of a data
The scatter plot shows a positive association
The scatter plot shows an outlinear
Answers
Answer: The scatter plot shows a nonlinear association
The scatter plot shows a negative association
Step-by-step explanation:
A prism is completely filled with 540 cubes that have edge length of 1/3 cm.
What is the volume of the prism?
Answers
Answer: 20
Step-by-step explanation:Each little cube is 1/27 cm cubed. If you multiply by 540, you get 540/27. This equals 20.
help me thank you if u did i forgot
Answers
Answer:
790,000
Step-by-step explanation:
The 5 represents the number by itself so it would be
10x10x10x10x10=100,000
7.9x100,000=790,000
Step-by-step explanation:
if you multiply something by 10 = 10¹, you move the decimal point 1 position to the right (and fill up with a 0, if necessary).
if you multiply something by 100 = 10², you move the decimal point 2 positions to the right (and fill up with 0s as needed).
if you multiply something by 1000 = 10³, you move the decimal point 3 positions to the right (and fill up with 0s as needed).
...
you see the pattern ?
so, when multiplying by 10⁵ (100,000) we shift the decimal point 5 pairings to the right and fill up with 0s as needed.
therefore,
7.9 × 10⁵ = 790,000.-
Answer my other questions, get brainliest!
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
A: A′(−6, 4.5)
B: A′(4, 4.5)
C: A′(6, 3)
D: A′(6, 4.5)
Answers
A' = k * A + (1 - k) * O
where k is the scale factor, A is the original coordinates of vertex A, and O is the center of dilation. Since no center of dilation is given, we can assume that the origin (0, 0) is the center of dilation.
So, using k = 1.5, A = (4, 3), and O = (0, 0), we get:
A' = 1.5 * (4, 3) + (1 - 1.5) * (0, 0)
= (6, 4.5) + (0, 0)
= (6, 4.5)
Therefore, the coordinates of vertex A' after the dilation are (6, 4.5).
Thus, the correct answer is option D: A′(6, 4.5).
PLS HELP ASAP! WILL GIVE BRAINLIEST!!!
A tree measured 8 3/4 feet in height. Over the next 6 3/8 years, the tree grew to a height of 51 1/4 feet.
During the 6 3/8 years, what was the average yearly growth rate of the tree?
(A) 6 2/3 feet per year
(B) 42 1/2 feet per year
(C) 5 1/4 feet per year
(D) 6 1/4 feet per year
Answers
Answer:
i think the answer is C im only writing it like this bc it wont just let me put C lol
Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]
Answers
an = a1 + (n - 1)d
Substituting the values
an = 2 + (n - 1)8
We have to find the 25th term n = 25
a25 = 2 + (25 - 1)8
a25 = 2 + (24)8
a25 = 2 + 192
a25 = 194
======================================================
Explanation:
The gap between adjacent terms is 8.
2+8 = 1010+8 = 1818+8 = 2626+8 = 34etcThe long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".
I don't recommend this option. I recommend the shortcut mentioned in the next section.
--------
The shortcut would be to find the nth term of the arithmetic sequence
[tex]a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\[/tex]
As a check, plug n = 1 into that formula to get [tex]a_1 = 2[/tex]. Plug n = 2 to get [tex]a_2 = 10[/tex] and so on. I'll leave this check portion for the student to do.
--------
The last step is to plug n = 25 into that formula to determine the 25th term.
[tex]a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\[/tex]
The final answer is 194-------
Extra section (optional):
We can use a spreadsheet to generate the 25 terms. This is to help check the answer.
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194
can yall help me with this 4s+17<9
Answers
Answer: s < -2
Step-by-step explanation: To find 'S', read the following steps below
First, you're going to subtract 17 from 17 and 9,
you will end up with this equation: 4s<-8
Then, you will divide 4 by 4, leaving the variable by itself, and divide -8 by 4.
Your answer is s < -2Sorry if you don't understand my explanation, I tried my best :)
Answer:I show u on paper
Step-by-step explanation:hope this helps
First you isolate the instead of 4s+17<9 you have 4s<9-17
Next you get 4s<-8
Then you now divide so you get s< -8÷4 which is -2
PLS HELP ASAP!!! WILL GIVE BRAINLIEST!!
The probability that the next Yankees game will be rained out is 2/5.
The probability that they will win their next game is 3/4.
What is he probability that it does not rain and the Yankees win?
(A) 11/20
(B) 5/9
(C) 9/20
(D) 1/4
Answers
Answer: C 9/20
Step-by-step explanation:
the odds the yankees don't get rain is 3/5. The odds they win are 3/4. 3/5x3/4=9/20
Answer:
(C), 9/20
Step-by-step explanation:
If the probability that the next Yankees game will be rained out is 2/5, this must mean than, theoretically, two times out of five, the game will be rained out.
This also means than three times out of five, it will not be rained out, so the probability that it will not be rained out is 3/5 (1-(2/5)=3/5)
We know that the probability that they will win their next game is 3/4.
We need to find the probability that it doesn't rain and the Yankees win. TO do this, we multiply both probabilities together. So, we have:
[tex]\frac{3}{5} *\frac{3}{4} =\\\\\frac{9}{20}[/tex]
So, the answer is (C), 9/20.
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answers
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
Please help me this is due today
Answers
a) The predicted heating cost for a month with temperature of 25 ºF is given as follows: $65.70.
b) The predicted heating cost for a month with temperature of 0 ºF is given as follows: $96.20
c) For an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The slope and the intercept for the function in this problem are given as follows:
Slope of -1.22, meaning that for an increase of one degree Fahrenheit, the predicted decrease in the cost is of $1.22.Intercept of 96.2, meaning that the predicted heating cost for a month with temperature of 0 ºF is of $96.20.Hence, the predicted cost for a month with temperature of 25ºF is given as follows:
y = -1.22(25) + 96.20 = $65.70.
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Simplify:
13a^2 + 14 - 17a - 12a^2 + 6a - a^2
answer choices;
A.) a - 14
B.) a + 14
C.) -9a^2 + 14
D.) -9a^2 - 5a - 14
Answers
Answer:
B
Step-by-step explanation:
ANSWER BOTH PLS 20 POINT <3
Answers
Answer:d is the correct answer
Answer: D and 10 am.
Step-by-step explanation:
Please help on this question :)
Answers
Answer:
15 cm × 9.5 cm = 142.5 square cm
Answer:
The area of the given figure is 142.5 sq. cm.
Step-by-step explanation:
The area of a parallelogram is given by the base multiplied by the height. The base in the given figure is 15 cm whereas the height is 9.5 cm.
15 × 9.5 equals 142.5
Hence, the area is 142.5 sq. cm.
Two rectangles are in a proportional relationship. The scale factor for sizing up rectangle A to the size of rectangle B is 5/2. The length of rectangle A is 6 m and the width is 4 m. Find the area of rectangle B. (A=l∙w)
Answers
Answer:
Answer is option B
Step-by-step explanation:
48:6=8:1. applies to 64:8=8:1
Answer:b
Step-by-step explanation:
Carl sells snow cones at a baseball park. The graph shows the amount of ice used for the snow cones, in pounds, over a certain amount of time, in minutes.
Which of the following describes the graph?
Carl had 1 pound of ice after 2 minutes, used 8 pounds every minute for 4 minutes, and then used 3 pounds each minute for 6 minutes.
Carl had 2 pounds of ice after 8 minutes, used 8 pounds every minute for 4 minutes, and then used one half pound each minute for 6 minutes.
Carl had 4 pounds of ice after 1 minute, didn't use any ice for 4 minutes, and then used 2 pounds each minute for 6 minutes.
Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Answers
Answer: It is D. Carl had 8 pounds of ice after 2 minutes, didn't use any ice for 4 minutes, and then used one half pound each minute for 6 minutes.
Step-by-step explanation:
Help pls answer and explain the question below (comes with pic)
The following scatter plot represents the scores of thirteen students on a geography test compared to the number of hours that each student studied for the test. Use the line of best fit to predict the score of a student who studied three hours for the test.
Answers
Answer:
95
Step-by-step explanation:
Looking at the graph, we can find the red line. The red line passes through the following coordinates (x,y): (0,65), (1, 75), (2, 85) and (3,95).
We know that x is the number of hours studied, and y is the score. If x=3, and y=95, then a student that studied three hours for the test will most likely score 95%.
Hope this helps! Good luck on your homework!
Mr.Robbins sold his house and deposited his $84,500 earnings into a savings account for one year. The account compounds at an annual rate of 3%. Find the amount that Mr.Robbins will have at the end of the year.
Answers
Answer:
Mr. Robbins will have $87,035 at the end of the year!
Select all of the following that are quadratic equations.
(MULTIPLE CHOICE)
A). 3 x² + 5 x - 7 = 0
B). 5 x² + 15 x = 0
C). 2 x - 1 = 0
D). x² - 4 x = 4 x + 7
E). 6 x - 1 = 4 x + 7
F). x³ - 2 x² + 1 = 0
Answers
Answer:
A B D F
Step-by-step explanation:
quadratic equation normally comes with squares
Help would be appreciated
Answers
Answer:
1.5 miles less
Step-by-step explanation:
Step 1: Find equation for Alexanda
We can see from Fabian's equation that there is a linear relationship between miles (y) and gallons (x).Fabian's equation is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Although we're not given the equation for Alexandra, we can find it using the slope formula, which is[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
If we allow (8, 345.6) to be our x1 and y1 and (12, 518.4) to be our x2 and y2, our slope is
[tex]m=\frac{(518.4-345.6)}{(12-8)}\\ m=\frac{172.8}{4}\\ m=43.2[/tex]
Now, we must find the y-intercept by plugging in 43.2 for m, 8 for x, and 345.6 for y into the general slope-intercept form and solving for b:[tex]345.6=43.2(8)+b\\345.6=346.6+b\\0=b[/tex]
Thus, the equation for Alexandra is y = 43.2x
Step 2: Plug in 1 for x for both Fabian and Alexandra's equations and subtract
Since x is is gallons, we plug in 1 for x for each equation and subtract Fabian's miles from Alexandra's miles to find how many miles less can Fabian drive one 1 gallon of gas than Alexandra:
Fabian: y = 41.7(1) = 41.7
Alexandra: y = 43.2(1) = 43.2
Difference of Alexandra and Fabian's miles: 43.2 - 41.7 = 1.5
PLEASE HURRY
Which math ratio represents efficiency?
A). Fi x do/Fo x di
B). Fo x di/Fi x do
C). Fi x di/Fo x do
D). Fo x do/Fi x di
Answers
The math ratio that represents efficiency is option D). Fo x do / Fi x di.In this ratio:Fi represents the input force or input quantity.di represents the input distance or input time.Fo represents the output force or output quantity.do represents the output distance or output time.Efficiency is typically calculated by comparing the output to the input. In the case of mechanical systems, it is often measured as the ratio of output work or energy to input work or energy.Therefore, the ratio Fo x do / Fi x di represents the output work or energy divided by the input work or energy, which is commonly used to determine efficiency in various contexts.
please I only have an hour left so can you help me with both?
Answers
Explanation: Since Nicole is giving away stuffed animals, the graph should be decreasing so you can eliminate answers b and c. You can eliminate answer D as well because the starting value of the graph is 600 stuffed animals, not 60.