The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth?
Answers
Answer: Isaac traveled approximately 13 miles by the taxi.
Step-by-step explanation:
Since we have given that
Amount charges to pick up a passenger = $2.50
Amount per mile = $1.95
Total amount charged = $27.46
Let x be the number of miles driven by the taxi.
According to question, it becomes,
Hence, Isaac traveled approximately 13 miles by the taxi.
Related Questions
Decrease from 126 ounces to 48 ounces percent
Which table shows a linear function?
The length of the sides of a triangular garden are 10m 11m 13m.Find the measure of the angle opposite the longest side to the nearest tenth of a degree
Identify which table shows a direct variation.A. Table 1 only B. Table 2 only C. both tables D. neither table
x2 − 10
x4 − 10x2 + 100
x4 + 10x2 + 100
Answers
x^6 - 10x^4 + 10x^4 + 100x^2 - 100x^2 + 1000
x^6 - 10x^4 + 100x^2 + 10x^4 - 100x^2 + 1000
x^2(x^4) - x^2(10x^2) + x^2(100) + 10(x^4) - 10(10x^2) + 10(100)
x^2(x^4 - 10x^2 + 100) + 10(x^4 - 10x^2 + 100)
(x^2 + 10)(x^4 - 10x^2 + 100)
The factors of x^6 + 1000 is x^2 + 10 and x^4 - 10x^2 + 100.
One of the factors of the given polynomial is: Option C: x⁴ - 10x² + 100.
How to find the factors of the polynomial?
The factors of the polynomial given as x⁶ + 1000 is as follows:
Since we have 1000 isolated, we can guess that one of the factors will have 10 and as we can break down as follows:
x⁶ - 10x⁴ + 10x⁴ + 100x² - 100x² + 1000
We can now rearrange as:
x⁶ - 10x⁴ + 100x² + 10x⁴ - 100x² + 1000
This can be factored further as:
x²(x⁴) - x²(10x²) + x²(100) + 10(x⁴) - 10(10x²) + 10(100)
x²(x⁴ - 10x² + 100) + 10(x⁴ - 10x² + 100)
(x² + 10)(x⁴ - 10x² + 100)
The factors of x⁶ + 1000 is x² + 10 and x⁴ - 10x² + 100.
Read more about factors of polynomial at: brainly.com/question/30937687
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b. (2b – 2)(2b + 4)
c. 4(b – 2)(b + 2)
d. 2(b – 4)(b + 4)
Answers
a^2-b^2=(a+b)(a-b)
(2b)^2-4^2=(2b-4)(2b+4)
(2b-4)=2(b-2)
(2b+4)=2(b+2)
2(b-2)2(b+2)
4(b-2)(b+2)
C is answer
Answers
a.)102.02
a.)242.47
The volume of the cone can be expressed as:
where:
V - the volume of the cone,
r - the radius of the cone,
h - the height of the cone.
It is given:
h = 12 in
R = 2r = 5.7 in ⇒ r = 5.7 in ÷ 2 = 2.85 in
π = 3.14
Therefore, the volume of the original conical chamber (V₁)
Further, the new chamber is scaled by a factor of 1.5. That means that radius and height of the original chamber are increased 1.5 times:
r₁ = r · 1.5 = 2.85 in · 1.5 = 4.275 in
h₁ = h · 1.5 = 12 in · 1.5 = 18 in
The volume of the new chamber is:
The difference between two chambers is:
V₁ - V = 344.49 - 102.02 = 242.47
Answer:
a and a
Step-by-step explanation:
Answers
After the first step which is combining like terms, so add the 3p and the single p together.
Next, the negative 7 turns to a positive when we exterminate it from one half of the equation and add it towards the second part.
4p-7=13
+7. +7
4p=20
Divide both sides by 4 to get the p alone.
4p=20
/4. /4
P=5
That is the answer to the entire equation, again though the first step answer is at the very top, i just felt like solving it for you as well.
The resulting equation is 4p - 7 = 13 option fourth 4p - 7 = 13 is correct after adding like terms.
What is linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a linear equation:
3p – 7 + p = 13
After adding like terms
4p - 7 = 13
The above equation is the resulting equation after the first step in the solution.
Thus, the resulting equation is 4p - 7 = 13 option fourth 4p - 7 = 13 is correct after adding like terms.
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Answers
approximating the numbers. The exact number she reported is not
possible. To see why, I'll do it strictly by the math:
Robins = 5 times
Cardinals = 1 time
Total birds = 6 times
6 times = 25 birds
Divide each side by 6 : 1 time = 25/6 = 4-1/6 birds
Robins = 5 times = 20-5/6 of them
Cardinals = 1 time = 4-1/6 of them
Total: (20-5/6) + (4-1/6) = 25 birds.
How many more robins than cardinals = (20-5/6) - (4-1/6) = 16-2/3 more.
The math works out fine. But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that. Eeeew. I don't want to talk about it.
Answers
Final answer:
The greatest common polynomial of 8r³-6r² is 2r². The expression when factored using the greatest common polynomial becomes 2r²(4r-3).
Explanation:
To find the greatest common polynomial of the expression 8r³-6r², we must look for the greatest common factor or polynomial. In this case, we observe that both terms, 8r³ and 6r², have a common factor of 2r².
To factorize the expression, we simply divide each term by the greatest common factor we identified. The factored expression is 2r²(4r-3).
So, the greatest common polynomial in the given expression is 2r².
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