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
Related Questions
Please help i'm so confused
Answers
Answer:
2/3
Step-by-step explanation:
because 1 1/2 x 2/3 = 2 1/4
Answer:
1 1/2 = 3/2
2 1/4 = 9/4
3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3
EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .
Hope I helped!
Question 21: A box covers an area of 8 3/4 in. squared when resting on its base. The volume of the box is 74 3/8 in. cubed. Can you find the surface area of the box? Explain.
Answers
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
PLS HELP ASAP WILL MARK BRAINLIEST
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Answers
Answer:
3.3/11 = DF/7.6
DF = (3.3 × 7.6)/11 = 2.28
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
Please help
I need help on these two
Answers
Answer:surface area of pyramid is 118.80
And the volume of the cube is 1000
Step-by-step explanation:explain on picture
Answer:169.92 cm^2
Step-by-step explanation:
The base is 7.2 x 7.2 (This equals 51.84)
The area of one triangle is 29.52
There are 4 triangles with the same side lengths so you multiply 29.52 x 4.
This would equal 188.08.
Then you add everything together.
This equals 169.92 cm^2.
Answer:1,000 m^3
The formula for volume is hlw.
One of the side lengths of the cube is 10.
If the height, length, and width are ten, then you multiply them all together.
This would give you 1,000.
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.
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.
More can be learned about linear functions at https://brainly.com/question/24808124
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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).
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).
Which statement is true
Answers
Answer: The answer is B
Step-by-step explanation:
The statement which is true include the following: C. function 2 is the only nonlinear function.
What is a linear function?In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.
This ultimately implies that, a linear function has the same (constant) slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.
In this context, we can logically deduce that function 2 is a quadratic function and as such, it is the only nonlinear function.
Read more on linear function here: brainly.com/question/27325295
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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.
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
Answers
Answer:
A weighs 30 because it is always on the higher side
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.
y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70
Answers
Let's look at the graph and pick two points, (2, 70) and (4, 80) and use slope formula, y2 - y1 / x2 - x1
80 - 70 / 4 - 2
10 / 2
5
The slope of this line is 5.
To find the y-intercept, we look where the line crosses through the y-axis or the vertical line.
The y-intercept is (0, 60) or 60
If we plug these numbers into slope-intercept form, we get y = 5x + 60
Your answer is y = 5x + 60
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!
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.
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
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.
graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Answers
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
Answers
First, we can round the dimensions of the sign to the nearest whole number to make the multiplication easier. Rounding 1.4 to 1 and 1.2 to 1, we can estimate that the sign covers approximately 1 square meter of wall.
This estimation assumes that the sign is placed directly on the wall with no gaps or overlaps. In reality, the actual area of wall covered by the sign may be slightly larger or smaller depending on the installation method and any spacing between the sign and the wall.
It's important to note that while estimation can be useful for getting a rough idea of the answer, it's not always accurate and should not be relied upon for precise calculations. In this case, using the actual dimensions of the sign to find the area of the wall covered (1.4 x 1.2 = 1.68 square meters) gives a more accurate result.
The area of the circle is 9/64π square units. The radius of a circle is blank units. The circumference of the circle is blank units.
*One radius and one circumference*
a. 9/32
b. 3/8
c. 3/4
d. 9/32π
e. 3/8π
f. 3/4π
Answers
Answer:
C = 2π(3/8) = 3π/4 units
Step-by-step explanation: The area of the circle is given by the formula A = πr^2, where A is the area and r is the radius.Therefore, 9/64π = πr^2Simplifying, we get:r^2 = 9/64Taking the square root of both sides, we get:r = 3/8The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.Therefore, the circumference of the circle is:C = 2π(3/8) = 3π/4 units
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!
Use the image to determine the direction and angle of rotation.
270° clockwise rotation
270° counterclockwise rotation
90° clockwise rotation
180° clockwise rotation
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)}.
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
Please Help me i really need to pass this!
Answers
Answer: I must say it's (0,3)
Step-by-step explanation: The two lines meet at (0,3) so it's (0,3).
Hope it helps! :D
PLS HELP ASAP! WILL GIVE BRAINLIEST!!! Jason rode his bike in a sprint trial for 15 minutes and complicated a distance of 9 3/4 miles. In his second sprint trial he rode for 20 minutes and completed a distance of 12 2/3 miles.
What is the difference in his speed in miles per hour between the two sprint trials?
(A) The first trial was 3 miles per hour slower.
(B) The first trial was 3 miles per hour slower.
(C) The second trial was 1 mile per hour faster.
(D) The second trail was 1 mile per hour slower.
Answers
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:
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:
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).