Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table. Which form of transportation travels a greater distance per hour?
Answer:
The bus travels 15 miles more per hour than the train.
TTM ;)
Bus covers greater distance per hour as a form of transportation.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table.
Distance covered per hour by the train = m[T] = (135 - 90)/(3 - 2) = 45 miles/hour.
Distance covered per hour by the bus = m[B] = (300 - 0)/(5 - 0) = 300/5 = 60 miles/hour
Therefore, Bus covers greater distance per hour as a form of transportation.
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what must be subtracted from 4x4 - 2x3 - 6x2 + x - 5 so that the answer is exactly divisible by x + x - 2
To solve this problem, what we have to do is to divide the whole equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 with the equation 2 x^2 + x – 1. Whatever remainder we get must be the value that we have to subtract from the main equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 for it to be exactly divisible by 2 x^2 + x – 1.
By using any method, I used long division we get a remainder of -6.
Therefore we have to subtract -6 from the main equation which results in:
4 x^4 – 2 x^3 – 6 x^2 + x – 5 – (-6) = 4 x^4 – 2 x^3 – 6 x^2 + x + 1
The sum of 5 consecutive integers is 110. What is the fourth number in the sequence?
110/5 = 22, that is the middle number
now use the 2 numbers below that and the 2 numbers above that
so you have 20 + 21 + 22+ 23+24 = 110
the 4th number is 23
You are expecting a call from a friend anytime between 3:00 P.M. and 5:00 P.M. At 3:20 P.M, you discover that someone accidentally left the phone off the hook. What is the probability that you missed your friend’s call?
Suppose that it costs $12 to place a classified advertisement in the newspaper, plus $4 for each line. Then the cost to place an ad x lines long is given by y dollars, where y equals 4 x plus 12. Express as an ordered pair the fact that a 5 line ad costs $32.
Answer:
(5,32)
Step-by-step explanation:
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There are 11 apples in a basket. 3 of these apples are green. The rest of them are red. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of red apples to green apples?
Answer:
a) 8 : 11
b) 8:3
Step-by-step explanation:
Given: The total number of apples in the basket = 11
The number of green apples = 3
Then , the number of red apples = [tex]11-3=8[/tex]
a) The ratio of red apples to all apples in the basket will be :-
[tex]\dfrac{\text{Number of red apples}}{\text{Total apples}}=\dfrac{8}{11}=8 : 11[/tex]
b) The ratio of red apples to green apples will be :-
[tex]\dfrac{\text{Number of red apples}}{\text{Number of green apples}}=\dfrac{8}{3}=8 : 3[/tex]
Which situation is most likely to show a constant rate of change? A. The number of people on a city bus compared with the time of day B. The number of slices in a pizza compared with the time it takes to deliver it C. The shoe size of a young girl compared with her age in years D. The amount spent on grapes compared with the weight of the purchase
answer both questions if u cant see all the answers it don't matter all u need is the question
Find the rate of change of the function f(x)=-4/5x+8
The rate of change of the function f(x)=(-4/5)x+8 is -4/5, as this is the slope of the linear function which is constant.
To find the rate of change of the function f(x)=-4/5x+8, we can identify the coefficient of the x term, which in this case is -4/5. This coefficient represents the slope of the line, which is the rate of change of the function.
Hence, the rate of change of the function f(x) is -4/5. No additional calculations are needed because the function is linear, and its rate of change is constant.
In terms of calculus, for linear functions, the rate of change is equal to the derivative, which for f(x)=-4/5x+8 is -4/5.
NEED HELP FAST!
4.
(08.02 LC)
Four equations are graphed on the coordinate grid:
Which set of equations has (–3, 0) as its solution? (1 point)
A and B
B and D
B and C
A and D
i really don't understand this! if anyone does please help me!!! :)
Type the correct answer in each box. Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without the discount was $ and he paid $ . NextReset
What is the quotient and the remainder for
52 divided by 8
Mara ran 3km north and then 4km east. She will finish her run by running directly home. What was the total distance of her run?
Answer:
its option C
Step-by-step explanation:
Kirk bought songs for his MP3 player. He needed 6 more songs to have a total of 100. Write an integer to represent how many more songs Kirk needs. I NEED HELP!!!!!!!
Kirk needs 6 more songs to reach a total of 100, so the integer representing the number of songs he needs is +6.
Kirk needs 6 more songs to have a total of 100 songs for his MP3 player.
The integer to represent how many more songs Kirk needs is +6.
This is because an integer is a whole number (not a fraction or decimal) and can be positive, negative, or zero. In this case, since Kirk is adding songs to reach a total, we use a positive integer.
The +6 indicates that 6 more units (songs, in this context) are needed to reach the goal of 100.
7x+4=3x+2x+28=? show equation for answer
Rewrite the expression with parentheses to equal the given value of 5+3×2-6 with the value of 10
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is,
(5+3) × 2 - 6
= 8 × 2 - 6
= 16 - 6
= 10
Hence, The given expression 5+3×2-6 can be rewritten with parenthesis to equal it with 10 is (5+3)×2-6.
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Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.
To find the number of students in the larger class, set up a system of equations using the given information. Solve the system to find the value of x, which represents the number of students in the larger class. The larger class has 28 students.
To find the number of students in the larger class, we can set up a system of equations. Let's call the number of students in the larger class x, and the number of students in the smaller class y. The problem states that one class has 6 more students than the other, so we can write the equation x = y + 6.
We also know that the two classes have a total of 50 students, so x + y = 50. We can solve this system of equations to find the value of x, which represents the number of students in the larger class.
Using the second equation, we can substitute the value of x from the first equation into the second equation: (y + 6) + y = 50. Simplifying this equation, we get 2y + 6 = 50. Next, subtract 6 from both sides to isolate the variable: 2y = 44. Finally, divide both sides by 2 to solve for y: y = 22. Now, we can substitute this value of y back into the first equation to find x: x = 22 + 6 = 28. Therefore, there are 28 students in the larger class.
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Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water?
If the unit selling price is $2.50 and the unit cost is $1.00 what action is needed to maintain the gross margin percentage when unit cost increases $0.25
2.50 / 1.00 = 250% gross margin percentage
1.00 + 0.25 = 1.25
1.25 x 250% = 1.25 x 2.5 = 3.125
the unit selling price needs to be increased by 0.63 cents to $3.13
Given the function g(x)=7-x^2, evaluate g(x+h)-g(x)/h , h=0
The result is g'(x) = -2x.
Given g(x) =[tex]7 - x^2.[/tex]
Evaluate g(x+h)
=[tex]7 - (x+h)^2[/tex]
= [tex]7 - x^2 - 2xh - h^2.[/tex]
Compute g(x+h) - g(x)
=[tex][7 - x^2 - 2xh - h^2] - [7 - x^2][/tex]
= [tex]-2xh - h^2.[/tex]
Divide by h:
(g(x+h) - g(x)) / h
= [tex](-2xh - h^2) / h[/tex]
= -2x - h.
Take the Limit as h Approaches 0: As h approaches 0, the expression -2x - h approaches -2x.
Therefore, g'(x) = -2x.
So, the derivative of g(x) when h = 0 is -2x.
In a shelter, the number of kennels is proportional to the number of dogs. The constant of proportionality in terms of dogs per kennel is 3, and there are 27 dogs in the shelter. How many kennels are there?
Answer: There are 9 kennels containing 3 dogs per kennel.
Step-by-step explanation:
27 divided by 3 = 9
Okay, I am stumped on a 4th grade math problem. Help! Taylor's home street address number has five digits. Two digits have values of 60,0000 and 300. The last digit is 9. The value of each of the other digits is ten times the value of the digit on the right. What is Taylor's home street address number?
To find Taylor's home street address number, we can determine the value of each digit based on the given information and then calculate the sum.
Explanation:In this problem, we are given that Taylor's home street address number has five digits.
We also know that two of the digits have values of 60,000 and 300, and the last digit is 9.
The value of each of the other digits is ten times the value of the digit on the right.
Let's break down the information we have:
The first digit is 60,000.The second digit is 300.The third digit is 10 times the value of the second digit, so it's 10 * 300 = 3,000.The fourth digit is 10 times the value of the third digit, so it's 10 * 3,000 = 30,000.The last digit is 9.Putting all the digits together, we get the address number: 60,000 + 300 + 3,000 + 30,000 + 9 = 93,309.
The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?
Find the height of a triangle whose base is 2 square root 2 inches and area is 8 square root 6 square inches.
Sam goes running Monday, Wednesday, and Friday of each week. Each Monday he runs 3.75 miles, each Wednesday he runs 5.75 miles, and each Friday he runs 6.25 miles. How many total miles does he run in 7 weeks?
manny brought 2 1/2 cakes to the party, but 3/4 of those went uneaten. How much cake was not eaten?
When 100 is added to a number, the result is 60 more than 5 times the number
Find the value of (3 + 4)2.
Answer:
The value of given expression is 49.
Step-by-step explanation:
The given expression is
[tex](3+4)^2[/tex]
On solving the parenthesis, we get
[tex](3+4)^2=7^2[/tex]
It can written as
[tex](3+4)^2=7\times 7[/tex]
On multiplication, we get
[tex](3+4)^2=49[/tex]
The simplified value of given expression is 49.
Therefore the required value is 49.