Answer:
The slope- intercept form this situation is given by y = 0.75x + 3 .
Step-by-step explanation:
The slope- intercept is given by
y = mx + c
Where m is the slope, c is the y intercept .
As given
When visiting Baltimore, MD needs taxi to get from your hotel to the National Aquarium.
The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
Let us assume that the total amount charge by the taxi be y .
Let us assume that the number of miles travelled by the taxi be x.
Than
Total amount charge by taxi = Amount charge by the taxi per miles + Flat free charge .
y = 0.75x + 3
(Here m = 0.75 and c = 3)
Therefore the slope- intercept form this situation is given by y = 0.75x + 3 .
The equation that models this situation is y = 0.75x + 3.
To write an equation in slope-intercept form that models the situation of renting a taxi in Baltimore, MD, you can use the following equation:
Total Cost (C) = (Cost per Mile) * (Number of Miles) + (Flat Fee)
In this case, the cost per mile is $0.75, and the flat fee is $3.00. So, the equation becomes:
C = 0.75x + 3.00
Here, C represents the total cost of the taxi ride, and x represents the number of miles traveled. This equation is in slope-intercept form (y = mx + b), where:
"C" is the dependent variable (y),
"x" is the independent variable (the number of miles traveled),
0.75 is the slope (m), which represents the cost per mile, and
3.00 is the y-intercept (b), which represents the flat fee.
To learn more about equation here:
https://brainly.com/question/29657992
#SPJ3
You are wearing a pair of cargo pants with six pockets. You've put $10 in one of the pockets, but you cannot remember which one. After checking two pockets without success, what is the probability that the money will be in the next pocket you check? NextReset
The probability that the money will be in next pocket is 0.25.
We have a pair of cargo pants with six pockets and $10 in one of the pockets.
We have to find out the probability that the money will be in the next pocket you check after checking two pockets without success.
What is the formula to calculate the probability of an event ?The formula to calculate the probability of an event is -
[tex]P(A) = \frac{Total\;number\;of\;favorable\;outcomes}{Total\;number\;of\;outcomes\;in \;sample\; space} =\frac{n(A)}{n(S)}[/tex]In the question it is given -
Total money = $10
Total no. of pockets = 6 = n(S)
After two unsuccessful check in two pockets, new sample space =
n(S') = n(S) - 2 = 4
Hence, the probability that the money will be in the next pocket you check is -
P(A) = [tex]\frac{1}{4} = 0.25[/tex]
Hence, the probability that the money will be in next pocket will be 0.25.
To solve more questions on probability, visit the link below -
brainly.com/question/743546
#SPJ5
HELP MEEE!!! PLEASE!!!
Jane has $10000 to invest in AAA and AA bonds. The AAA bond yields a 5% and requieres a minimum investment of $1000. The AA bond yields an average of 8% and requires a minimum investment of $2000. Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond
In a probability experiment, Craig rolled a six-sided die 57 times. The die landed on a number greater than three 36 times. What is the ratio of rolls greater than three to rolls less than or equal to three?
The ratio of rolls greater than three to rolls less than or equal to three is 36:21, which simplifies to 12:7 after dividing both terms by the greatest common divisor of 3.
Since Craig rolled the die 57 times, and it landed on a number greater than three 36 times, then it landed on a number less than or equal to three the remaining number of times. Subtracting the number of greater rolls from the total rolls:
Total rolls: 57
Rolls greater than three: 36
Rolls less than or equal to three = 57 - 36 = 21
Now, we can establish the ratio of rolls greater than three to rolls less or equal to three:
Ratio = Rolls greater than three : Rolls less than or equal to three = 36 : 21
And if needed, we can simplify this ratio by dividing both sides by their greatest common divisor, which is 3:
Simplified Ratio = 12 : 7
The glass container is filled to a height of 2.25 inches. What percent of the container is filled with sand?
One-third the sum of 6 and 3 (u get 10 points)
Hurry
Final answer:
The sum of 6 and 3 is 9, and one-third of this sum is 3 when you divide 9 by 3.
Explanation:
In mathematics, a sum is the result of adding two or more numbers or quantities together. It represents the total or aggregate of those quantities. The process of finding this total is called addition.
Thus,
To calculate one-third the sum of the numerals 6 and 3, we first find the sum of 6 and 3, which is 9.
Then, we need to take one-third of 9.
To find one-third of a number, you divide the number by 3.
So one-third of 9 is 9 divided by 3, which equals 3.
Therefore, one-third the sum of 6 and 3 is 3.
Please help me with question 5
Simplify this equation.
(equation and choices in image)
b.)x³-7x²+3x+36
(x-4)(x²-3x-9)
Distribute x and -4 to x²-3x-9
=x²(x)-3x(x)-9(x)+x²(-4)-3x(-4)-9(-4)
=x³-3x²-9x-4x²+12x+36
Combine all liked terms
=x³-7x²+3x+36
How would you write the following phrase as a number expression eight more than triple a number
which of the following values of x makes the rational expression below equal to zero? 2x+16/x+5
a. 5
b. -5
c. 8
d. -8
Answer:
d. -8
Step-by-step explanation:
Remember that you cannot possibly divide anything by 0, so if the denominator gives as a result 0, you are dealing with an impossibility, in order for a franction to give as a result 0, the numerator has to be 0, so we just need to equalize the numerator to 0 and solve for x to know how can we make the rational expression 0:
2x+16=0
2x=-16
x=-16/2
x=-8
So in order to make the expression equal to 0 x needs to be equal to -8,
Find three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68
The three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68 are: Integers 5, 7 and 9.
Let;
x = smallest odd integer(x+2) = middle odd integer(x +4) = largest integerThe question however suggests that;
The sum of the smallest number and 7 times the largest number is 68.
Therefore;
x + 7(x+4) = 688x + 28 = 688x = 40x = 5.In essence,
the smallest number is x = 5.the middle number is x+2 = 7.the largest number is x+4 = 9Read more:
https://brainly.com/question/18473365
Help!
Could it be...??
a. /_ A
b. /_ BCA
c. /_ b
d. /_ CBA
How do you turn 43% into a fraction
To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. 43% can be written as the ratio 43 to 100 or 43/100.
Therefore, 43% can be written as the fraction 43/100.
miss Roberts simplified this ratio 2:6 explain how you know she is incorrect can you tell where she might have made a mistake
Can anyone help me on this question?:) tysm ily
Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 16 and its height is 6 ?
1. Solve w=x+y/z for y.
2. Solve the equation above for z.
Answer:
y = z(w -x)z = y/(w -x)Step-by-step explanation:
As in any "solve for ..." problem, you reverse (undo) the operations done to the variable of interest. Generally, you do that in reverse order.
1. y is divided by z then the quotient added to x. To solve for y, we subtract x, then multiply by z.
... w - x = y/z . . . . . . . subtract x from the given equation
... z(w -x) = y . . . . . . . multiply by z
___
2. To solve for z, it is more convenient to start with the equation for y that is the result of the first question. We divide that by the coefficient of z.
... z = y/(w -x)
From w=x+y/z, the value of y = z(w - x)
w=x+y/z
This is changing the subject formula. The first thing to do is to subtract x from both sides. This will be:
w - x = x + y/z - x
w - x = y/z
Then, we cross multiply
z(w - x) = y
Therefore, y = z(w - x)
Since y = z(w - x)
Then, to get the value of z goes thus:
z = y/(w - x)
Read related link on:
https://brainly.com/question/24695759
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg smartphone survey). if 12 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.
Using the binomial probability formula, sum up the probabilities for 0, 1, and 2 smartphone users using their phones in meetings, which will give you the total probability for fewer than 3.
Explanation:The subject of this question appears to be probability theory, a branch of mathematics that studies the likelihood of different outcomes. The problem presented involves calculating the probability of a certain number of smartphone users behaving in a specified way. In this case, it's about finding the likelihood that fewer than 3 out of 12 selected individuals use their smartphones in meetings or classes.
To solve this, we'll use a binomial probability formula: P(X=r) = (nCr) * p^r * (1-p)^(n-r), where:
n is the number of trials (in this case, 12 smartphone users),r is the desired number of successful outcomes,p is the probability of success on a single trial (54%), andnCr is the combination of n items taken r at a time.
You will need to sum up the probabilities for 0, 1, and 2 smartphone users using their phones in meetings or classes to get the total probability for fewer than 3.
Learn more about Probability here:https://brainly.com/question/22962752
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 8 and 13
Final answer:
The length of the third side of a triangle with side lengths of 8 and 13 must be greater than 5 units and less than 21 units according to the triangle inequality theorem.
Explanation:
To find the range for the length of the third side of a triangle given two sides with lengths of 8 and 13, we can use the triangle inequality theorem.
This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the absolute value of their difference.
The inequalities for the third side, let's call it c, are:
c < 8 + 13c > |13 - 8|Therefore, we can say:
c < 21c > 5So the length of the third side must be greater than 5 units and less than 21 units.
Va doctor prescribes 10 mg of cough syrup. available is 5 mg/5 ml. how many teaspoons would you give?
Which describes the difference between the graph of f(x) = 3x2 + 2 and g(x) = 9x2?
B) The graph of f(x) is obtained by shifting g(x) up 2 units and compressing vertically by a factor of 3.
C) The graph of g(x) is obtained by shifting f(x) right 2 units and stretching vertically by a factor of 3.
D) The graph of f(x) is obtained by shifting g(x) right 2 units and stretching vertically by a factor of 3.
The solution is, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.
What is transformation of graph?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
here, we have,
Given that,
here is a graph of f(x) = x which is transformed into h(x) = 3x² - 7.
The graph of a the equation -
f(x) = x
is a straight line.
now, we get, When it is squared and multiplied by 3, we get -
h(x) = 3x²
which is a parabola stretched by a factor of 3 in vertical direction along
+ y axis.
When 7 is subtracted, it will shift the graph down by 7 units.
h(x) = 3x² - 7
Therefore, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.
To solve more questions on Graph transformation, visit the link below-
brainly.com/question/2542251
#SPJ3
Complete question:
What is the effect on the graph of f(x) = x when it is transformed to
h(x) = 3x2 - 7?
A. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units down.
B. The graph of f(x) is horizontally compressed by a factor of 3 and
shifted 7 units to the right.
C. The graph of f(x) is horizontally stretched by a factor of 3 and
shifted 7 units down.
D. The graph of f(x) is vertically stretched by a factor of 3 and shifted
7 units to the right
add or subtract.
[tex] \binom{7 \sqrt{2} }{2} - \binom{ \sqrt{8} }{2} [/tex]
Question 7 plz help me saner this question
Which of these is equivalent to 92 + 42? (9 + 4)2 (9 × 4)2 (9 × 9) + (4 × 4) (9 + 9) + (4 + 4)
In 2015, the price of a business math text rose to $150. This is 8% more than the 2014 price. What was the old selling price?
Answer: old selling priceof businesss math text rose = $138.89
Explanation:
In year 2015, Price of business math text rose = $150
Suppose privious price (year 2014)= x dollars
Previous price is 8% less than the price in 2015 because given that $150 is 8% more than previous year price.
Now write the linear equation for the given information:
x + 8% of x = 150
Solve for x
x + [tex] \frac{8}{100} [/tex]x = 150
x + 0.08x = 150
1.08x = 150
divide 1.08 both the side
x = [tex] \frac{150}{1.08} [/tex]
x = $138.89
Old selling price = $138.89
In a survey, 60 baseball fans were asked whether they thought the designated hitter rule should be changed. Forty-one fans thought the rule should be changed. WHat percent of the fans surveyed said that the designated hitter rule should be changed.
Which trinomial is the product of the expression below ? (2R-3) (R+12)
The heights in centimeters of 5 students are: 165, 175, 176, 159, 172 find the sample median, sample mean and sample variance.
The value of the sample median is 172.
The value of the sample mean is 169.4.
The value of the sample variance is 52.3
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The heights in centimeters of 5 students are: 165, 175, 176, 159, 172
Now,
Arrange the heights in order.
159, 165, 172, 175, 176
Median = 172
Mean = (159 + 165 + 172 + 175 + 176) / 5 = 847 / 5 = 169.4
Sample variance.
= ∑ (x - Mean)² / (n - 1)
= 209.2 / 4
= 52.3
∑ (x - Mean)²
= (159 - 169.4)² + (165 - 169.4)² + (172 - 169.4)² + (175 - 169.4)² + (176 - 169.4)²
= 108.16 + 19.36 + 6.76 + 31.36 + 43.56
= 209.2
Thus,
The sample mean = 169.4
The sample median = 172
The sample variance = 52.3
Learn more about median here:
https://brainly.com/question/28060453
#SPJ5
Which equation could be the equation of this parabola?
A. y = -2x^2
B. x = -2y^2
C. x = 2y^2
D. y = 2x^2
y - 5 = 0.5x2 + 6x - 3 How many x-intercepts does the graph of this quadratic have?
Answer:
its (A)
Step-by-step explanation: