Jose rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 83 cents for each mile driven. jose had to pay $194.78 when he returned the truck. for how many miles did he drive the truck?
Answers
Jose drove the truck for approximately 213 miles.
Let's assume that Jose drove the truck for m miles.
We know that there was a base fee of $17.99, so the remaining amount after that base fee went towards the additional charge of 83 cents per mile.
So, the additional charge for the miles driven can be represented as 0.83m.
The total cost that Jose had to pay was $194.78. Therefore, we can write the equation:
17.99 + 0.83m = 194.78
Solving for m:
0.83m = 194.78 - 17.99
0.83m = 176.79
m = 213.072
So, Jose drove the truck for approximately 213 miles.
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Related Questions
Store A sells a watch for $50 and offers a 5% discount. Store B sells the same watch for $60 and offers a 20% discount. The sales tax is 6% for both . After discounts and taxes are applied, from which store should you buy the watch and why?
Answers
50*5%=2.5
50-2.5=47.5
47.5+(6%*47.5)=$50.35
Store B
20%*60=12
60-12=48
48+(6%*48)=$50.88
I would but the watch from store A because it would be 53 cents cheaper.
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AD=3AD=3 and AC=12,AC=12, what is the length of \overline{AB}? AB ? (Note: the figure is not drawn to scale.)
Answers
Answer:
The answer is "6"
Step-by-step explanation:
\(\to x^2 = 3 \times 12 \\\\\to \sqrt{6^2 +3^2} = \sqrt{45} =\sqrt{9} \sqrt{5} = 3\sqrt{5} \\\\\to x= 6\)
The value of \(\overline{AB} =6\)
If (x2 – 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2) ______ = x2 - 4
x² – 4
x-2
x + 2
x² - 2
Answers
Answer: B or x-2
Step-by-step explanation:
y( x+a ) m solve for the variable x.
Answers
Answer:
x=y/m-a
Step-by-step explanation:
y=(x+a)m
Divide m on both sides
y/m=x+a
Subtract a on both sides
y/m-a=x
A sample of size 95 will be drawn from a population with mean 25 and standard deviation 13. Find the probability that will be between 22 and 27.
Answers
1.3338 is the likelihood, The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Explanation:
Mean (m) = 25
The standard deviation is 13
Sample size (n) is 95.
Chance that x will fall between 22 and 27.
Zscore = x - mean / s / n
If x = 22, Zscore is equal to (22 - 25) / (13/95).
For x = 27, Zscore is equal to (27 - 25) / (13/95) / n = 13 / 95, which is 1.3338.
1.3338 is the likelihood.
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27.87 - 4.6
Will give brainliest
Answers
Answer:
23.27
Step-by-step explanation:
27.87 - 4.6 = 23.27
6=2(y+2) y=?
please help
Answers
Divide by 2 on both sides.
3 = y + 2
Subtract 2 from both sides.
1 = y
(Substitution)
6 = 2(1 + 2)
6 = 2(3)
6 = 6
==========================================================
Explanation:
There are two ways to solve this
The first method will have us distribute the 2 through to each term, then we solve for y
6 = 2(y+2)
6 = 2y+4 .... distribute
2y+4 = 6
2y = 6-4 .... subtract 4 from both sides
2y = 2
y = 2/2 .... divide both sides by 2
y = 1 is the answer
-------------
Or we can solve through this set of steps
6 = 2(y+2)
6/2 = y+2 ...... divide both sides by 2
3 = y+2
y+2 = 3
y = 3-2 .... subtract 2 from both sides
y = 1
Either way, we get the same answer.
-------------
To check the answer, replace every copy of y with 1
Simplifying should lead to 6 on the right side
6 = 2(y+2)
6 = 2(1+2)
6 = 2(3)
6 = 6
Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.
Need help will mark brainliest
Answers
Answer:
I am grade 5 and I don't know about what it is at all. but please make me as the brainliest
often a complicated expression in formal logic can be simplified. for example, consider the statement s
Answers
The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.
To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.
Here are some steps you can follow to simplify the statement "s":
1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.
2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.
3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.
4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.
5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.
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A particle of mass mm moves in the plane with coordinates ( x ( t ) , y ( t ) )(x(t),y(t)) under the influence of a force that is directed toward the origin and has magnitude k / \left( x ^ { 2 } + y ^ { 2 } \right)k/(x 2 +y 2 )—an inverse-square central force field.
Answers
An inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
From Newton's second law of motion,
mass × acceleration = Force acting on the mass
Resolving the force F along x and y directions and applying Newton's second law of motion,
Using,
\(r = \sqrt{x^2+y^2}\)
Therefore,
\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and cosθ = \(\frac{x}{\sqrt{x^2+y^2} }\)
Similarly using,
\(r = \sqrt{x^2+y^2}\)
we get,
\(m\frac{d^2y}{dt^2} = -|F|sin\theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)
Therefore we showed that holds
\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)
Hence the answer is an inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
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Probability Distributions for Discrete Random Variables
Which of the following are discrete random variables?
Select all that apply
1-The number of CDs that a college student owns
2- The number of dogs you own
3- The amount of gas in your car
4- Number of 6s you get when you throw 5 number cubes
5- The number of dog sleds that a competitor uses in an annual sled dog race
Answers
The discrete random variables from the given options are: 1, 2, 4, and 5.
The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.
The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.
Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.
The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.
On the other hand, the following option is not a discrete random variable:
The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5
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Find the area shaded
PLEASE HELPPPPP
Answers
2x5/2=5(1)
6x5/2=15(2)
The area shaded: (1)+(2) => 5+15=20
Answer: 20
Let U=(1, 2, 3, 4, 5, 6, 7, 8), A={1, 2, 3, 6), and B=(3, 4, 5). Find the set An B. ANB=
Answers
The set A ∩ B = {3}
The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.
The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.
To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.
Therefore, the intersection of sets A and B is {3}.
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z scores that fall below the mean are ______. a. 0 b. negative c. either positive or negative d. positive
Answers
The correct answer to the question "z scores that fall below the mean are" is "negative". Z-scores are measures of relative standing that can be used to make comparisons among the scores in the distribution by transforming raw data into standardized units.
The formula for z-score is:z = (X-μ)/σz-scores can be negative, zero, or positive numbers. A negative z-score tells us that the corresponding score is below the mean and vice versa.In addition to this, the mean of all z-scores is always zero. If the mean of all z-scores is zero, that means that z-scores are measuring deviation from the mean. If a z-score is below the mean, it means that the corresponding raw score is below the mean, which results in a negative z-score.
Z-scores that fall below the mean are negative. Z-scores are statistical values that allow analysts to transform raw data into standardized units that make comparisons possible among scores in the distribution. The formula for calculating the z-score is: z = (X-μ)/σThe z-score can be either negative, zero, or positive, depending on whether the value is below, equal to, or above the mean, respectively. Because the mean of all z-scores is always zero, z-scores can be used to measure deviation from the mean, with a negative z-score indicating that the corresponding raw score is below the mean. Z-scores allow us to compare the scores in the distribution by converting them into standard units. Negative z-scores are associated with scores that are below the mean. Conversely, positive z-scores are associated with scores that are above the mean.
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describe the rule that describes the relationship between the numbers in the top row (x) and the bottom row (y) in the following table
Answers
Answer:
y(x) = 2x+3
Step-by-step explanation:
the rule is y(x) = 2x+3
whats the slope of the table pls help me
Answers
Answer:
x+6y=5
3x+y=16
6x+2y=8
Step-by-step explanation:
When 4 × 102 is divided by 2 × 10–2 the resulting quotient has 10 raised to the power of
Answers
Answer:
2038 that's a answer po because hindi kasali ang 10
The exponent is represented as \(A=2*10^{4}\) where the resulting quotient has 10 raised to the power of 4.
Given data:
To perform the given division of \(A=\frac{4*10^{2}}{2*10^{-2}}\) , we can use the properties of exponents and arithmetic operations.
When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:
So, the exponent is represented as A.
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
Now, the value of \(A=\frac{4*10^{2}}{2*10^{-2}}\).
Now, simplify the exponent expression:
\(A=\frac{4*10^{2+2}}{2}\)
\(A=2*10^{4}\)
Hence, the exponential form is \(A=2*10^{4}\).
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solve for step by step 5x-2=23
Answers
Solve for u
5=u+4 ??
Answers
Answer:1
Step-by-step explanation:
subtract 4 from both sides, so that leaves you with 1=u
a study is designed to test whether there is a relationship between natural hair colors and eye colors. if a significant chi-square value is obtained, this suggests that:
Answers
Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.
A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.
The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.
Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .
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Classifying Triangles Card
Answers
The triangle problem's solution is given by the relationship amongst x,y and z, which is z²= x²+y² .
Explain the triangle.Due to its three vertices and three sections, a triangles is a polygon. It has a simple geometric form. Triangle ABC refers to a triangular with the points A, B, and C. When three factors are not collinear, a singular plane and triangle are found. Triangles are regarded as polygons since they have three corners and a right side. The points where a triangle's three sides intersect are known as the triangle's corners. By summing three triangle angles, one gets 180 degrees.
Here,
Given: In this situation, triangle XYZ is a right triangle.
Thus,
We discover:
Z, X, and Y components
They are linked in the following ways:
It being a right triangle,
So,
According to the Pythagoras Theorem,
=>z²= x²+y²
The triangle problem's solution can be found by using the relationship among z, x, and y, which is given by z2=x2+y2.
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Please help! I dont know this question.
Answers
9514 1404 393
Answer:
B. 14°
Step-by-step explanation:
An angle and its complement total 90°. If x is the measure of the complement of ∠DEF, then ...
x + 76 = 90
x = 90 -76 = 14
The complement of ∠DEF is 14°.
_____
Additional comment
An angle measure is never negative, so the complement of an angle will never be greater than 90°. Only one choice qualifies.
Use the distributive property to remove the parentheses.
-8(6w-x-2)
Answers
Answer: -48x+8x+16
You just multiply every term in the parentheses
Can someone help me
Answers
Answer:
c=20
Step-by-step explanation:
Which of the following expressions is equivalent to 6(5+3×)
Answers
Answer:
30 + 18x = 6(5+3x)
Step-by-step explanation:
for this all you have to do is distribute the 6 by doing 6 x 5 = 30 and
6 x 3 = 13 and then you just have to add them together to get
30 + 18x = 30 +18x
Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours. If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week? A. 18(s+2.5)>750 B.18(2.5s + 38) >/= 750 C.18(38) +2.5s >/= 750 D.20.5s > 750
Answers
Answer:
C.18(38) +2.5s >/= 750
Step-by-step explanation:
If Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes survey and Patty plans to work 38 Hours then the inequality which shows the earning of atleast $750 is 18(38)+2.5s>=750 which is option C.
What is inequality?Inequality is like an equation which shows the relationship between two or more variables but it is expressed in greater than, less than, greater than or equal to, less than or equal to signs.
How to form inequality?We have been given that the number of surveys is s.
Earning on the basis of hours=18*38
Earning from customer's survey=s*2.50
Earning required by Patty=$750
Inequality which shows atleast $750 earning of Patty is :
18*38+2.50s>=750
we have to use greater than sign because the earning that Patty wants to earn is atleast 750 so it can be equal to or more than 750 dollars.
Hence the inequality will be 18(38)+2.5s<=750.
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answers
The measure of center should be used is Mean, because Sunny Town is symmetric.
When comparing the data to determine which location typically has the cooler temperature, the measure of center that should be used is the mean. The mean (average) is a suitable measure of center for symmetric distributions, which is the case in Sunny Town. When a distribution is symmetric, the mean provides an accurate representation of the center of the data.
On the other hand, the distribution in Beach Town is skewed.
A skewed distribution means that the data is not symmetric and has a long tail on one side. In such cases, the median is a more appropriate measure of center. The median represents the middle value of a dataset and is less affected by extreme values or outliers, making it a better choice for skewed distributions.
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determine whether the statement is true or false. if f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
Answers
The given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
Declining Function: A function f is said to be decreasing on an interval I if for any two values x₁ and x₂ in I, with x₁ < x₂, then f (x₁) > f (x₂).
Since f '(x) < 0 for 7 < x < 10, it implies that the slope of the tangent line to the curve at every point in the interval (7,10) is negative. That means the graph of f is declining in that interval.
Therefore, the given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
This is because a negative first derivative, f'(x), indicates that the function is decreasing. The fact that f'(x) < 0 for all values of x in the given interval (7, 10) implies that the function is continuously decreasing throughout that interval.
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Which of the following is a line through the point (-1, 2) with a slope of
in graph form
Answers
The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.
We know that when a point and slope of the equation are given, an equation can be written as
\(\frac{y-y_{1} }{x - x_{1} } =m\)
which is known as the slope-point form
where m is the slope of the equation
y1 is the y coordinate of the given point
x1 is the x coordinate of the given point
In the given question, y1 = 2 and x1 = -1
Substituting the value of coordinates in the slope point equation, we get
\(\frac{y-2}{x-(-1)} = m\)
\(\frac{y-2}{x+1}=m\)
y-2 = mx + m
y = mx + m-2
Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.
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What is the equation of the line passing the point (-1, 2) with a slope m?
What is 0.02 as a precent
Answers
Answer:
2 percent
Step-by-step explanation:
move the decimal over to the right twice
Answer:
2%
Step-by-step explanation: