A function rule that relates the total distance a car can travel d as a function of the number of gallons of gas in its tank g is given by: d = 20g
What is a proportion?A proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a rule that relates the total distance (d) which a car can travel as a function of the number of gallons (g) of gas in its tank:
d = 20g
Where:
d represents the total distance travelled.20 represents the constant of proportionality.g represents the number of gallons.In conclusion, the total distance (d) traveled by most cars is directly proportional to the number of gallons (g) of gas in their tank at a constant rate of 20 miles per gallon of gas.
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How many sisters does Carly have
Answer:
she has 2 sisters; lucy simon and joanna simon
Step-by-step explanation:
find the slope-intercept form of the equation of the line that has the given slope and passes through the given point
Answer: you didn't give me any numbers, so I can't give you an answer. But, I can help!
The slope intercept form is Y=mx+b
X and Y are your coordinates
m is the slope
b is the y-intercept.
As long as you know two of those, you can solve for the missing variable.
I hope this helps!!!
what is the volume of a circle with a diameter of 2 inches
Answer:
Volume = 4 πr3 3= 4 ×π×43 3
= 268.08257310633 feet3
Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:
Twelve buckets of water are needed to fill a small swimming pool. there are approximately 3.8 liters in 1 gallon. if each bucket holds 1.5 gallons, what is the volume of water, in liters, the pool holds?
Answer:68.4 liters
Step-by-step explanation: 1.5x12=18 18x3.8=68.4
2.
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for
each hour of labor.
y (dollars)
4,000
3,000
2,000
1,000
10
20
30 40 50
x (hours)
1. How much would the painting company charge to paint a house that needs
20 hours of labor? A house that needs 50 hours?
Scom
60
2. Draw a line representing the relationship between x, the number of hours it
takes the painting company to finish the house, and y, the total cost of
painting the house. Label the two points from the earlier question on your
graph.
3. Find the slope of the line. What is the meaning of the slope in this context?
Using a linear function, it is found that:
1. The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.
2. The graph is given at the end of the answer.
3. The slope of 50 means that the cost of each additional hour of labor is of $50.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The flat rate is the intercept.The cost per hour is the slope.Hence the charge for x hours of labor is given by the following function:
C(x) = 50x + 500.
Then:
C(20) = 50(20) + 500 = $1500.C(50) = 50(50) + 500 = $3000.The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.
The slope of 50 means that the cost of each additional hour of labor is of $50.
The graph with the two points from item a labeled is given at the end of the answer.
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Is the question ''how many cars were sold each day this month'' statistical or not?
what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.
What is the area of a triangle?
The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).
Calculation of the area of the given triangle
Given:
P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR
Let PQ be the base parallel to the x-axis
b = 7 - 1 = 6
And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4
The area of triangle PQR is equal to half the product of base and height
Area = (6 × 4) / 2
= 24 / 2
= 12 square units
Hence, the area of the triangle with given vertices is 12 square units.
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Abdoulaye is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a cube that has six sides labeled 1 to 6 and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
The number of different possible outcomes is 24
How to determine the number of different possible outcomes?The given parameters are:
Fair die = 6 sides
Spinner = 4 sections
The number of different possible outcomes is calculated using
Outcomes = Fair die * Spinner
This gives
Outcomes = 6 * 4
Evaluate
Outcomes = 24
Hence, the number of different possible outcomes is 24
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find the domain rang and function
Answer:1,1 0
Step-by-step explanation:
-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please
Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.
Here the fraction is -4/-9, 11/12, -21/-18, 1/6.
To know write the fraction in its ascending form, and convert the fraction into it's decimal form.
Therefore we have,
-4/-9 = 4/9 = 0.44
11/12 = 0.916
-21/-18 = 21/18 = 7/ 6 = 1.16
1/6 = 0.16
Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.
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Which region represents the solution to the given system of inequalities?
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
5 X
Answer:
أنا بصراحة لا أعرف
Step-by-step explanation:
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. (,); xy
Answer:
cool cool
Step-by-step explanation:
cool
PLEASE HELP DONT JUST TAKE MY POINTS I DONT KNOW THIS PLEASSE ASAP
explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Answer:11/24
Step-by-step explanation:
5 1/2 divided by 12 equals 11/24
A heap of sand in the form of a square based pyramid is twice as tall as it is wide. If the volume, V, of the sand is 10 m3, find the height, h, of the heap. Give your answer, in metres, correct to two decimal places.
The height of the prism is 4.93 meter with a square base and having a volume of 10 m³
How to solve volumeVolume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.
The volume of a pyramid = (1/3) * base area * height
Let base = b
height = 2 * base = 2b
Since volume is 10 m³, hence:
10 = (1/3) * b * b * 2b
b = 2.47 m, h = 2(2.47) = 4.93 m
The height of the prism is 4.93 meter with a square base and having a volume of 10 m³
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3÷4 1/2
I'm trying to learn math easyer then how they teach in class_school
Answer:
3÷4= 0.75 then,
1/2=0.5
Step-by-step explanation:
Hope it was helpful.
Solve for X I need help please
Answer:
15
Step-by-step explanation:
The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.
(180-60)/8=15
This is 7th grade math bro
A parallelogram has a base of 3 inches and a height of 7 inches. What is its area?
Answer:
21 cm square
Step-by-step explanation:
Base x Height = Area
Area = 3 x 7 = 21 cm square.
Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.
Answer:
Step-by-step explanation:
Take average speed to be (40+50)/ 2 = 45 mph.
Then estimate of distance travelled
= 45 * 3.5
= 160 miles.
What is the midpoint of the segment shown below?
Answer:
A. 5, 1/2
Midpoint formula: (x1+x2)/2, (y1+y2)/2
5 + 5 / 2 = 5
4 + -3 / 2 = 0.5
therefore it is
(5, 1/2)
g(x)= x²-x-12/x²-4x+4
find g(2)
Step-by-step explanation:
g(2)=((2)²-2-12)/((2)²-4(2)+4)
=4-2-12/4-8+4
=-10/0=undefined
2. Ms. B and Ms. D are writing problems for an algebra book. Ms. B started with ten problems already written, and she can write six problems an hour. Ms. D had
no problems written, but she writes ten problems an hour. When will Ms. D have the same number of problems written as Ms. B? How many problems will they
each have written at that time?
The time when they will both have written the same number of problems is 2.5 hours.
The problems they would have written is 25.
When would they have written the same number of problems?The first step is to formulate an equation that represents the number of problems that Ms. B and Ms. D can write in an hour.
Problems Ms. B can write in an hour = 10 + 6h
Problems Ms. D can write in an hour = 10h
Where h represents the number of hours
When Ms. B and Ms. D have written the same number of problems, the two above equations would be equal:
10 + 6h = 10h
In order to determine the value of h, take the following steps:
Combine similar terms : 10 = 10h - 6h
Add similar terms: 10 = 4h
Divide both sides by 4 : 10 / 4
h = 2.5 hours
The number of problems they would have written in 2.5 hours : 10 x 2.5 = 25 problems
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What's 11,000lb in tons
Step-by-step explanation:
What's 11,000lb in tons
it 5.5 us tone
Awnser oooooopppndhdhdh
Answer:
x<212
Step-by-step explanation:
Because < means that x is less than 212
I need help badly please help
Step-by-step explanation:
these are the answers. ignore the scribbles :)
Convert 30 kilograms into gram
hi pls help i do not understand
Answer: A & D
Step-by-step explanation:
A & D both are correct
Given y = 6x + 7, what is the value of y when x = -3?
Answer:
y=-11
Step-by-step explanation:
Answer:
y = - 11
Step-by-step explanation:
y=6x+7
y=6*(-3)+7
y=-18+7
y=-11
i don’t know what to do
Answer:
Step-by-step explanation:
If the problem is (-7)^2 then you multiply -7 *-7
If the problem is -(7) ^2 then you multiply -1*7*7
Answer: FALL OUT OF THE TREE
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.
The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.
What are statements and conclusions?Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.
Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.
From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.
Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.
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Consider the number 7,123,456.
a. Approximate the number by rounding to the nearest million.
Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
What is approximation?Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.
If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.
Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.
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