A car travelling as fast it can , may move at 40 km per hour. How long does the car take to travel 70 km?
Answers
The car will take 1 hour and 45 minutes (or 105 minutes) to travel a distance of 70 km at its maximum speed of 40 km/h.
The following calculation can be used to calculate how long it will take the car to travel 70 km:
Time = Speed / Distance
Given that the car's top speed is 40 km/h, we may enter the values into the formula as follows:
Time equals 70 km / 40 km/h
By condensing this phrase, we discover:
Duration: 1.75 hours
Thus, driving the car at its top speed for 70 kilometres will take 1.75 hours.
Since there are 60 minutes in an hour, we may multiply this time by 60 to get minutes:
1.75 hours times 60 minutes is one hour.
Duration: 105 minutes
It's vital to remember that this calculation takes the assumption that the speed will remain constant throughout the entire trip and does not take into consideration variables like traffic, road conditions, or any stops.
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Related Questions
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
Answers
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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Help, please!
The answer is presented on the image, thank you!
Answers
Answer:
PQ = 3QR = 5EF = 10Step-by-step explanation:
You want to know the side lengths of the triangles shown if DE = 8.
Value of xSide DE is marked as x+6. If its length is 8, then we have ...
x +6 = 8
x = 2 . . . . . subtract 6
Side lengthsThe unknown side lengths are then ...
PQ = x+1 = 3
QR = x+3 = 5
EF = x+8 = 10
__
Additional comment
These are both 3:4:5 right triangles. The larger is twice the size of the smaller. You can guess this because a 3:4:5 right triangle is the only one with a side length of 4 and integer lengths for the other sides.
(15 POINTS!) A deli owner randomly samples 100 customers on three separate days to see what sandwiches they bought. This data shows the results of the three samples.
The deli owner expects 750 customers.
Based on the unbiased samples, about how many turkey sandwiches will the deli sell?
218 turkey sandwiches
225 turkey sandwiches
253 turkey sandwiches
308 turkey sandwiches
Answers
In one hour, Frank earns the money shown below. How much does he earn in 7 weeks if he works 3 hours each week?
↓↓
$12
↑↑
ITS DUE TODAY HELP PLEASE
Answers
Answer:
$252
Step-by-step explanation:
If Frank earns $12 an hour and works 3 hours a week, he makes $36 a week. So for 7 weeks, he earns $252 because $36x7 weeks= $252 in 7 weeks
y = 2x + 3
Is it proportional
Answers
Answer:
No, it is not proportional.
Step-by-step explanation:
Non proportional equations are written as:
y=kx + b
Let's compare your equation to non proportional equations.
In your equation, 2 is "k".
And 3 is "b".
Proportional equations are written as y=kx.
Hope this helps! Have a great day!
1. explain how and why the area under a curve can be described using an integral. what is an integral??
Answers
The integral is defined as the limit of the sum of the areas of an infinite number of rectangles, each with an infinitely small width, that are used to approximate the area under the curve. By taking the limit of this sum as the width of the rectangles approaches zero, we can find the exact area under the curve.
The integral is represented by the symbol ∫ and is written as the integral of a function f(x) over an interval [a, b]. The integral of f(x) over [a, b] is denoted by ∫[a, b] f(x) dx. The integral of f(x) over [a, b] gives us the area between the curve of f(x) and the x-axis over the interval [a, b].
In summary, an integral is a mathematical tool that allows us to calculate the area under a curve. We can use an integral to find the exact area under the curve by taking the limit of the sum of the areas of an infinite number of rectangles, each with an infinitely small width, that are used to approximate the area under the curve.
If h(x)=-4/5x+6/7 find the following values. Simplify your answer.
h(1)=
h(2)=
h(-1/2)
Answers
Hence , on solving the given expression , we get values of h(1) = 58/35 , h(2) = 86 /35 and h(-1/2) =26 /35.
A operate in maths may be a special relationship among the inputs (i.e. the domain) and their outputs (known because the codomain) wherever every input has specifically one output, and therefore the output are often derived back to its input.We have given an expression h(x)=-4/5x+6/7 .
Putting x = 1 in h(x) , we get
h(1) = 4/5(1) +6/7
= 4/5 +6/7
= 28 + 30 /35
= 58 /35
Putting x = 2 in h(x) , we get
h(2) = 4/5(2) +6/7
= 8/5 + 6/7
= 56 + 30 /35
= 86 /35
Putting x = -1/2 in h(x) , we get
h(-1/2) = 4/5(-1/2) +6/7
= -2/5 + 6/7
= -14 + 30 /35
= 26 /35
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in a college biology class, only half of the class earned a passing grade, Out of all the students
and passed. What is the probability of someone having studied, given that they passed?
All 60%
b. 30%
6, 2%
d. 70%
Answers
Answer:
b 30% is the right answer
please help me !!!!!
Answers
Answer:
Cheer up...٩(●˙—˙●)۶٩(●˙—˙●)۶٩(●˙—˙●)۶
Step-by-step explanation:
Hahahah
Answer:
:
To find the new function all you have to do is apply the operation in the order that is specified. In this case, subtract the two functions:
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Answer link
Brody had 3 pounds of blueberries. Brody let his friend Trudy eat 1/4 of the blueberries. How many pounds of blueberries did Trudy eat?
Answers
Answer:
Trudy ate 3/4 a pound
Step-by-step explanation:
First, turn the 3 pounds into a fraction greater than 1. So 3 =3/1
Then multiply to see how many OF the blueberries Trudy eats (of means to multiply)
3/1 x 1/4 = 3/4
Hope this helps!
A 3-yard roll of aluminum foil costs $1.71. What is the price per foot?
Answers
Answer:
.19 ¢
Step-by-step explanation:
1.) Multiply
There are 3 feet in one yard. And there are 3 yards. So,
3 x 3 = 9
2.) Divide
1.71 ÷ 9 = .19
3.) Check answer
.19 x 9 = 1.71
So it cost .19¢ per foot.
Hope this helps you out : )
A server earns X dollars per hour at a restaurant in addition to money made from tips. If during a 6-hour shift, the server earns $164.50 in tips, what is the minimum amount the server must earn per hour to make at least $184 total during the shift?
a. $4.00
b. $3.75
c. $3.50
d. $3.25
Answers
Answer:
$3.25
Step-by-step explanation:
184-164.50=19.50
19.50÷6=3.25
Which expression is equivalent to ( xy -6)2 for all values of x and y where the expression is defined?
Answers
Answer:
( x y -6)² = x² y² - 12 xy + 36
Step-by-step explanation:
Explanation:-
Given that the expression ( x y -6)²
Apply formula (a-b)² = a² -2ab + b²
( x y -6)² = (xy)² - 2 × xy× 6 + (6)²
= x² y² - 12 xy + 36
( x y -6)² = x² y² - 12 xy + 36
Answer:
xy^36
Step-by-step explanation:
If a 18 ft tall statue casts a 12 ft Long shadow, then how long is the shadow that a 3 ft tall baby elephant casts
Answers
Answer:
2 feet
Step-by-step explanation:
This is because you have to use ratios:
18:12 :: 3:x
you can then figure out 18/12=1.5, so you have to figure out what what 1/1.5 or 2/3 of what 3 is. you then multiply 3 by 2/3 and get 2 feet
Answer:
2 ft
Step-by-step explanation:
use cross multiplication
12 is to 18 as x is to 3
12 / 18 = x / 3
12 × 3 = 18x
now solve for x
36 = 18x
divide by 18
2 = x
So a 3 ft baby elephant casts a 2 ft shadow
3/4( x + 8 )=9 Solve for x: x=
Answers
Answer:
4
Step-by-step explanation:
Multiply 4/3 to both sides to cancel out the 3/4 on the left.
Next, subtract 8 from both sides to cancel out the 8 on the left.
This should result in the equation x = 4!
Answer:
x = 4
Step-by-step explanation:
3/4 times x = 3/4x
3/4 times 8 = 6
9 - 6 = 3
3 / (3/4) = 4
I hope this helps :)
It costs $17.60 for a pack of 4 padlocks. Find the unit price in dollars per padlock. If necessary, round your answer to the nearest cent.
Answers
Answer:
4=$17.60
1=$17.60/4
1=$4.40
Step-by-step explanation:
Anyone I need help with this problem plss
Answers
Answer:
About 1.23 standard deviation above the mean
Step-by-step explanation:
From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation
That would be through calculating the z score as follows;
z-score = (x - mean)/SD
where x is the given value
z-score = (87-71)/13 = 1.23
Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean
Evaluate the following expression
1/5^-2
Answers
Answer:
25
Step-by-step explanation:
If (1/5)^2 equals 1/25, then (1/5)^-2 should be the opposite.
(1/5)^-2 equals 25
Which of the following is a solution to the inequality y>3x−9 ? (Select all that apply)
Answers
Answer:
necesitas pensar profesor porque todavía no entiendo bien si quieres
Answer:
the answer
Step-by-step explanation:
y=77 since I am smart
Riley has 24 more stickers than Maria.
Create an expression to show the number of stickers Riley has in terms of n by moving terms and symbols to the lines.
Then move a phrase to complete the sentence to define the variable n.
Answers
Answer:
n+24=x
Step-by-step explanation:
Answer: the 8
Step-by-step explanation:
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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what is everything i need to know about bearings?? i suck at them
Answers
Answer:
Step-by-step explanation:
bearing is the angle which a line makes with the north.
HELP ASAP!!
Recall that the tax owed will reduce Carlos’s net profit. Carlos’s real, after-tax ROI is _____.
A) 21.2%
B) 22.1%
C) 23.2%
Answers
We can see Carlos’s real, after-tax ROI is A) 21.2%.
This is because he will have to pay taxes on his net profit, which will reduce his overall return on investment.
What is tax?Tax is a financial charge or levy imposed by a government on individuals, businesses, or other entities to fund public expenditure and support various governmental functions.
It is a mandatory payment required by law and collected by government authorities at different levels, such as national, state, or local governments.
ROI = (Net Profit / Investment) x 100
In this case, Carlos's net profit is $10,000 and his investment is $50,000.
However, he will have to pay taxes on his net profit, which will reduce his overall return on investment.
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Hello. This question asks to solve for x and I don't understand how to do that here. Can you please help?
Answers
Answer
x = 6°
Explanation
The key to solving this is shown in the attached image below
So, we can see that the relation between all of this is that
5x + 17 = ½ [(37x + 5) - (23x - 5)]
5x + 17 = ½ (37x + 5 - 23x + 5)
5x + 17 = ½ (37x - 23x + 5 + 5)
5x + 17 = ½ (14x + 10)
5x + 17 = 7x + 5
5x - 7x = 5 - 17
-2x = -12
Divide both sides by -2
(-2x/-2) = (-12/-2)
x = 6°
Hope this Helps!!!
help me please with this work
Answers
Step-by-step explanation:
we know
\(y = mx + c\)
Answer:
y-intercept: -3
slope: 4
equation: y=4x-3
Step-by-step explanation:
To find the y-intercept, it shows in the table of value that when x is 0, y is -3 so y-intercept = -3. To find the slope, find the first differences which is 4.
Solve each of the quadratic equations.
0 =522 - 2x + 6
Answers
Answer:
\(x = 264\)
\(0 = 528 - 2x \\ 528 - 2x = 0 \\ - 2x = - 528 \\ x = \frac{ - 528}{ - 2} \\ x = 264\)
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Answers
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
Answers
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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9 x 10 to the power of 5 + 8 x 10 to the power of 4 + 2 x 10 to the power of 3 + 9 x 10 to the power of 2 + 5 x 10 + 1
please
Answers
Answer:
5.94587615×10^9
Step-by-step explanation:
You just...put it in a calculator?
a slide 4.1 m long makes an angle of 35° with the ground. rounded to the nearest tenth of a meter, how far above the ground is the top of the slide.
Answers
By definition,
sin(angle) = opposite/hypotenuse
From the picture,
\(\begin{gathered} \sin (35)=\frac{x}{4.1} \\ \sin (35)\cdot4.1=x \\ 2.4\text{ m = x} \end{gathered}\)