The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? (An explanation would be helpful!)
Answer:
I can ride 3.3 miles in $10.
Step-by-step explanation:
Let i can ride x miles in $10.
So for first 0.5 miles I have paid = $2.4
The for remaining ride of (x - 0.5) payment done = $[tex]\frac{0.20}{0.1}\times (x-0.5)=2(x - 0.5)[/tex]
I gave the tip = $2
Total payment I have done for the ride = $10
So equation will be
2.4 + 2(x - 0.5) + 2 = 10
4.4 + 2x - 1 = 10
3.4 + 2x = 10
2x = 10 - 3.4
2x = 6.6
x = [tex]\frac{6.6}{2}=3.3[/tex]
Therefore, i can ride 3.3 miles in $10.
Add the two expressions.
−6.3x+4 and 1.5x−6
Enter your answer, in simplified form, in the box.
please help fast 30 points!
Of the following sets, which numbers in {0, 1, 2, 3, 4} make the inequality 7x + 3 < 17 true?
{0}
{0, 1}
{0, 1, 2}
{2, 3, 4}
Hello,
The correct answer is B) {0, 1}
Hope this helps!!!! Happy Holidays!!!! (:
jordan has a marble collection. 4/12 of the marbles are red. 2/4 are green. what fraction of her total marbles are red and green
Fifteen students were surveyed to see whether they liked the color red or blue. There were three more students who preferred blue over red. Write and solve a system of equations to find how many students preferred blue and how many preferred red.
You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a purple or a blue marble?
Without further information, we can say that the prediction of drawing a blue or purple marble in six attempts depends on the total number of marbles and the number of blue and purple marbles.
If half the marbles are blue or purple, there is a predicted average of three such draws in six attempts.
To predict how many times you could pick a purple or blue marble, we would need to first know the total number of marbles and the number of blue and purple marbles. This information isn't provided in the question. However, we can discuss this concept further. When you select a marble and put it back, the probabilities remain the same for each draw because the total number of marbles in the bag and the number of desirable marbles (blue or purple in this case) do not change.
For example, if a bag contains four blue marbles and three white marbles, and you draw one marble six times with replacement (meaning each time after drawing, you put the marble back into the bag), the probability of drawing a blue marble each time is 4/7, because there are four blue marbles and seven total marbles.
Therefore, the best prediction of the number of times you will draw a blue or purple marble in six tries depends on these individual probabilities. If we assume half the marbles are blue or purple, then on average, we would expect to draw a blue or purple marble about three times.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
The best prediction possible for the number of times you will pick a purple or a blue marble after 6 draws is 3.43 times.
Explanation:To predict the number of times you will pick a purple or a blue marble, you need to determine the probability of picking a purple or a blue marble for each individual draw and then multiply that probability by the number of draws. In this case, the bag contains 4 blue marbles out of a total of 7 marbles.
Therefore, the probability of picking a blue marble on each draw is 4/7.
Since you are drawing 6 times, you can predict that you will pick a purple or a blue marble approximately (4/7) x 6 = 24/7 = 3.43 times.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
what is the approximate distance across a camel's snout.
in the decimals chart, the memory cue for dividing by a whole number is "up." what does that mean?
Answer:
It means that you have to put the decimal point in the quotient exactly above the decimal point in the dividend.
Step-by-step explanation:
In the picture attached, the decimals chart is shown. There you can see where you have to put the decimal point in the quotient when you are dividing a decimal number by a whole number.
Hey guys! Could someone help me with this problem? I got the wrong answer! The answer is B, but I don’t know how to get it! Could you work it out and explain?! Thank you so much! God Bless!
between which two consecutive whole numbers is
[tex] \sqrt{46} [/tex]
I need some help with 22, 24, 25
negative financial information (excluding bankruptcy) can stay on your credit report for:
plz help me with this problem!!!! Thanks!
There were 25 words on a recent vocabulary test in English class, and Owen got four words wrong. What percent did he get wrong?
If three dozen cookies cost $9, what is the cost per cookie?
what fraction of 60 is 45?
I'll give brainliest if you show your work.
Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.
Mia's Work
Step 1: 3-35/ 10-91
Step 2: -32/ -81
Step 3: 32/ 81
What was the first error that Mia made?
Mia simplified incorrectly and made the slope positive.
Mia subtracted in the wrong order.
Mia switched the numerator and the denominator.
Mia used subtraction instead of addition.
Answer:
Mia switched the numerator and the denominator.
Step-by-step explanation:
The slope formula is given by:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Where we have two ordered pairs:
P1 = (x1, y1)
P2 = (x2, y2)
Given is : Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91)
Step 1: [tex]\frac{3-35}{10-91}[/tex]
If we compare the formula with Mia's step, we can see that she switched the numerator and the denominator.
Hence, the error made is : Mia switched the numerator and the denominator.
#22. As you can see I tried to work it out, but to no avail.
The correct answer is (A) -2y - 2 for x in 3x - 2y = 10.
x + 2 = -2y
3x - 2y = 10
In order to find the second variable, we must take either x or y out of one of the equations. We can specifically exclude x by substituting the following in the expression:
From the first equation into the second, x = -2y - 2. With this change, x will no longer be present in the second equation, allowing us to determine the value of y. As a result, we must replace the phrase with:
For x in the equation, -2y - 2:
3x - 2y = 10
To acquire:
3(-2y - 2) - 2y = 10
To put it simply: -6y - 6y - 2y = 10
combining comparable phrases
-8y = 16
y = -2 after dividing both sides by -8.
Once y has been determined, we can add this result back into one of the original equations.
Therefore, the correct answer is (A) -2y - 2 for x in 3x - 2y = 10.
For such more questions on answer
https://brainly.com/question/1859113
#SPJ8
Fred makes 2.50 less per hour than Barney. Barney makes 15.75 per hour. How much does Fred make per hour?
1) $14.75
2) $15.00
3) $13.25
4) $12.75
Use the drawing tool(s) to form the correct answer on the provided grid.
Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.
Graph the function that represents this situation.
Answer:
See attachment
Step-by-step explanation:
Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.
We have to Graph the function that represents the given situation.
Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)
Since initially, Jennifer is at 4000 feet.
and is descending with an average speed of 40 feet per minute.
So when she begins to descend she is at 4000 feet that is y- intercept is 4000.
Then, the equation of graph is given by
y = -40x + 4000
As she is descending at the rate of 40 feet per minute so -40x
Thus, The graph for the given equation can be drawn as shown below.
also, when x = 100
then y = -40(100) - 4000 = 0
Plot points (0, 4000) , (100,0) to obtain the graph.
On the coordinate plane below, quadrilaterals TRAP and HELP are similar to eachother.
Use the Pythagorean theorem to determine the ratio between sides RA and EL.
A. 2:1
B.5:3
C. 3:2
D. 1:1
Answer:
The ratio would be A. 2:1
Step-by-step explanation:
Solve the linear system of equations using addition. Graph the equations to verify your solution. -4x=y+3
Answer:
Step-by-step explanation:
given equation,
-4 x = y + 3
y = -4 x -3........................(1)
comparing equation 1 with
y = m x + c
m = -4 and c = -3
now using this we can easily plot the graph where c is the y-intercept and m is the slope of line .
so, the plot is shown in the graph attached below.
Dakota tiled a floor with tiles that look like this:
Here is her floor:
What is the length of? _________________
What is the length of ? ________________
What is the length of? _______________
What is the measure of ABC? ____________
What is the measure of CAB? ____________
What is the measure of ACB? _____________
What is the measure of BCE? _____________
What is the measure of CED? ______________
What is the total length of Dakota’s floor? _____________
What is the total width of Dakota’s floor? ____________
250 divided by 10 to the 2 nd power
When 250 is divided by 10 the 2nd power will be 5².
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
250 is divided by 10. Then the value of the expression will be
⇒ 250 / 10
⇒ 25
Write the expression in the form of 2nd power, then we have
⇒ 25
⇒ 5 x 5
⇒ 5²
When 250 is divided by 10 the 2nd power will be 5².
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Directions: Determine whether the given value of the variable is a solution of the inequality.
renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the mp3 player is 4 centimeters, and the width is 7 centimeters.
To create a scale diagram, determine the ratio between the length and width of the scale drawing and the actual object.
Explanation:To create a scale diagram, we need to determine the ratio between the length and width of the scale drawing and the actual object.
In this case, the length of the scale drawing is 8 inches and the actual length of the mp3 player is 4 centimeters.
So the length ratio is 8 inches / 4 centimeters = 2 inches / centimeter.
Similarly, the width ratio can be calculated as 14 inches / 7 centimeters = 2 inches / centimeter.
Learn more about Scale Diagrams here:https://brainly.com/question/12706537
#SPJ12
In Renee's scale drawing of the mp3 player, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing. This is calculated by comparing the actual length to the length on the drawing, converting the units to centimeters first. The scale should be consistent for both length and width.
Explanation:The question describes a situation where Renee is making a scale diagram of her mp3 player. In this case, there is a comparison between the actual size of the mp3 player and it's representation on the scale drawing. Let's use the lengths as a basis for the scale.
The length of the actual mp3 player is 4 cm and the length on the scale is 8 inches. But, to make our comparison valid, we need to make sure that both measurements are in the same unit. Now, since 1 inch is approximately 2.54 cm, our 8 inches become 8 × 2.54 = 20.32 cm.
This means Renee's scale is roughly 5 to 1 (since 20.32 divided by 4 is about 5). Therefore, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing.
We can follow the same process for the width and verify that the scale is consistent, which it should be, but in this case, it's not necessary because we've been given that the lengths and the widths have exactly the same proportions in both the drawing and the real object.
Learn more about Scale Diagram here:https://brainly.com/question/12706537
#SPJ12
A hollow crystal ball is made of glass that is 3 centimeters thick. The ball has a radius to the outside surface of 8 centimeters. What is the approximate volume of glass used to make the ball? Use 3.14 for pi.
Answer:
The approximate volume of glass is equal to [tex]1,620.24\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere ( crystal ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
the approximate volume of glass is equal to
[tex]V=\frac{4}{3}\pi (rb^{3}-ra^{3})[/tex]
[tex]rb=8\ cm[/tex]
[tex]ra=(8-3)=5\ cm[/tex]
substitute
[tex]V=\frac{4}{3}(3.14)(8^{3}-5^{3})=1,620.24\ cm^{3}[/tex]
Name the angle below 4 different ways.
plz help and NO BS answers.
PLEASE HELP!!!
If g(x) = 2x4 + 3x3 - x2, find g(-1).
A) -42
B) -12
C) -10
D) -2
Answer:
The value of g(-1) is -2
Step-by-step explanation:
[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]
Now we find g(-1)
To find g(-1) plug in -1 for x in the given g(x) equation
Replace all x by -1
[tex]g(x) = 2x^4 + 3x^3 - x^2[/tex]
[tex]g(x) = 2(-1)^4 + 3(-1)^3 - (-1)^2[/tex]
[tex]g(x) = 2-3-1=-2[/tex]
The value of g(-1) is -2
Answer:
-2
Step-by-step explanation:
g(-1) = 2(-1)4 + 3(-1)3 - (-1)2 = 2(1) + 3(-1) - 1 = 2 - 3 - 1 = -2
Walter pays $4 for each gallon, g, of gas for his lawn mower. He uses a gift card worth $5 to reduce the amount he owes for his purchase. How much money, m, will Walter owe if he buys 4 gallons of gas? Make a table using 2, 3, and 4 as values for g. Graph the ordered pairs, and then write an equation to solve the problem
m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas
What is Expression?An expression is combination of variables, numbers and operators.
Given that Walter pays $4 for each gallon, g, of gas for his lawn mower.
Walter uses a gift card worth $5 to reduce the amount he owes for his purchase.
We need to find the money, m, will Walter owe if he buys 4 gallons of gas.
m=4g+5
Now for 4 gallons we have to find the money.
m=16+5
m=21
Now for gallon =2
m=13
Now for gallon =3
m=17
Hence, m=4g+5 is the equation for money will Walter owe if he buys g gallons of gas
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2