Matthew drove 189 miles in 7 hours. If he continued at the same rate, how long would it take to travel 297 miles?
Answers
Time to travel 297 at same rate = 297 / 27 = 11 hours
Related Questions
Graph a point at (-2,3) and
a point at (2, 3).
Answers
The graph with a point at (-2,3) and a point at (2,3) is shown below.
Here's a graph with a point at (-2,3) and a point at (2,3):
y
^
|
| ● (2,3)
|
| (x, y)
|
|
|__________________________→ x
The point (-2,3) is represented by a dot (●) on the left side of the x-axis at y = 3. The point (2,3) is represented by a dot (●) on the right side of the x-axis at y = 3.
Both points share the same y-coordinate, indicating that they lie on a horizontal line.
The graph locating the points (-2, 3) and (2, 3) is attached below.
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if an object is dropped from a height of 38 feet, the function h(t) = -16t square + 38 gives the height of the object after t seconds. Graph the function.
Answers
The graph of the quadratic equation can be seen below.
How to graph the quadratic equation?
Here we have a quadratic equation that represents the height:
\(h(t) = -16t^2 + 38\)
Where this represents the height in ft.
This is just a quadratic function, so to graph it we can just get some points and then connect them, by evaluating the function we will get:
\(h(0) = -16*0^2 + 38 = 38\\\\h(1) = -16*1^1 + 38 = 22\\\\h(2) = -16*1.5 + 38 = 2\)
So we have the 3 points (0, 38), (1, 22) and (2, 2), we graph them and connect them with a parabola. The graph can be seen below.
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On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Answers
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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what is K=2r-5s solving for r
Answers
find difference between 2/3 53/300
Answers
Answer:
0.5 difference
Step-by-step explanation:
2/3=0.66666666666=0.7
53/300= 0.17666666666=0.2
0.7-0.2=0.5
Is the temperature measured in Celsius proportional to the temperature measured in Fahrenheit?
Answers
Answer:
The relationship between Fahrenheit and Celsius is directly proportional
The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportional to one another.
Is there a proportional link between the temperature scales?
No. because the ratio is different (no constant of proportionality). The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportionate to one another. It suggests that as the temperature rises on the Celsius scale, the temperature rises as well on the Fahrenheit scale. Fahrenheit and Celsius have a proportionate relationship. Both follow the various unit differences between each scale and have varying water freezing points. There is one place where the Fahrenheit and Celsius scales meet. At both -40 °C and -40 °F, they are equal. To determine when two temperature scales are equal to one another, the straightforward technique is to set the
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how do you slove the eqaution 4x=3y-7
Answers
The given equation can be solved for the value of x and y
i.e. x = (3y - 7)/4 & y = (4x + 7)/3.
What is the linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We have,
The equation 4x=3y-7
So, here we can solve this equation for the x as well as y equals,
Firstly we will solve for x:
4x = 3y - 7
dividing the whole equation by 4 we get,
4x/4 = (3y - 7)/4
x = (3y - 7)/4
Similarly, we will solve for y:
4x = 3y - 7
3y = 4x + 7
dividing the whole equation by 3 we get,
3y/3 = (4x + 7)/3
y = (4x + 7)/3
Hence, the given equation can be solved for the value of x and y
i.e. x = (3y - 7)/4 & y = (4x + 7)/3
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siin. The scale used for a model of a kitchen isdimensions of the kitchen?1ft. In the model, the kitchen measures $2in. by 3 in.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Model
1 / 4 in = 1 1/2 ft
dimensions of the kitchen
2 1/2 in by 3 in
Step 02:
\(1\text{ }\frac{1}{2}\text{ ft = 1 + }\frac{1}{2}\text{ = }\frac{2+1}{2}=\frac{3}{2}\text{ ft}\)\(2\text{ }\frac{1}{2}in\text{ = 2 +}\frac{1}{2}\text{ = }\frac{4+1}{2}\text{ =}\frac{5}{2}in\)Step 03:
1 / 4 in = 3 / 2 ft
\(\frac{5}{2}in\cdot\text{ }\frac{3\text{ / 2 ft}}{1\text{ /4 in }}\text{ = }\frac{5\text{ }}{2\text{ }}in\cdot\text{ }\frac{3\cdot4\text{ ft}}{2\cdot1\text{ in}}\)\(\frac{5}{2}in\cdot\text{ }\frac{12ft}{2in}\text{ = }\frac{5\cdot12\text{ }}{2\cdot2}=\text{ }15ft\)\(3\text{ in }\cdot\text{ }\frac{12ft}{2in}\text{ = }\frac{3\cdot12}{2}=18ft\)The answer is:
b. 15 ft by 18 ft
A sauce recipe calls for 11 cups of sunburst tomatoes for every 3 cups of cherry tomatoes. Complete the table to show how many cups of cherry tomatoes are needed to mix with 55 cups of sunburst tomatoes. Then, graph the pairs of values. Cups of
Answers
We know that for every 3 cups of cherry tomatoes, the recipe calls for 11 cups of sunburst tomatoes.
To determine how many cups of cherry tomatoes are needed for the given measures of sunburst tomatoes, the first step is to determine the unit rate of the relationship (or constant of proportionality)
The unit rate can be determined as follows:
\(k=\frac{y}{x}\)For this exercise
y → cups of cherry tomatoes
x → cups of sunburst tomatoes
\(k=\frac{3}{11}\)This means that for every cup of sunburn tomatoes you need 3/11 cups of cherry tomatoes.
To complete the table you have to multiply each given amount of sunburst tomatoes by the unit rate:
22 cups sunburst tomatoes:
\(22\cdot k=22\cdot\frac{3}{11}=6\)33 cups sunburst tomatoes:
\(33\cdot k=33\cdot\frac{3}{11}=9\)44 cups sunburst tomatoes:
\(44\cdot k=44\cdot\frac{3}{11}=12\)55 cups sunburst tomatoes:
\(55\cdot k=55\cdot\frac{3}{11}=15\)You can complete the table as follows:
The graph below shows the points on the coordinate system
given that the point p(−8, 5) lies on the line kx 3y 57 = 0, find k.
Answers
The value of k in the equation kx + 3y - 57 = 0 is 5.25.
To determine k in the equation kx + 3y - 57 = 0, you need to use the point (−8, 5) that lies on the line.
To find the value of k, substitute the coordinates of point p into the equation, then solve for k by combining like terms. So,
we have
kx + 3y - 57 = 0
Rewriting the equation as; k(-8) + 3(5) - 57 = 0
Simplifying; -8k + 15 - 57 = 0
Add the constants on the left side; -8k - 42 = 0
Solve for k by adding 42 to both sides; -8k = 42k = -42/(-8)
Therefore, k = 5.25
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What is the first common factor of 6 and 8.25?
Answers
Answer:
omo
___
Step-by-step explanation:
in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answers
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
What is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
triangle a b c. side a c is 7 feet and side c b is 4 feet. hypotenuse a b is unknown.
startroot 22 endroot ft
startroot 33 endroot ft
startroot 57 endroot ft
startroot 65 endroot ft
Answers
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{4}\\ \end{cases} \\\\\\ c=\sqrt{7^2 + 4^2}\implies c=\sqrt{65}\)
what a statistical process control technique that permits only 3.4 defects per million opportunities.?
Answers
Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.
Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.
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chords find the length of the segment indicated. 19 X 20.8
Answers
In given Circle, the value of x will be 10.4.
What exactly is a circle?
A circle is a geometric shape consisting of all the points in a plane that are at a given distance, called the radius, from a given point, called the center. The distance around the circle is called the circumference, and the distance across the circle passing through the center is called the diameter.
A circle is defined by its radius or diameter, and all points on the circle are equidistant from the center. The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14159, and r is the radius.
Now,
Given that diameter of the circle=20.8
and x here is radius of the circle
and as radius=diameter/2
then x=20.8/2
x=10.4
Hence,
the value of x will be 10.4.
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See attached picture, is there a way to enter equations or algebraic symbols?
Answers
SOLUTIONS
Solve a given equations or algebraic symbols?
\(\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}\)(A)
\(\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}\)(B)
\(\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}\)(C)
\(\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}\)(D)
\(\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}\)There are 20 people trying out for a team. How many ways can you make randomly select for people to make a team?
Answers
There are 15,504 ways to randomly select a team of 5 people from a group of 20 people
If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:
C(20, n) = 20! / (n! * (20 - n)!)
where C(20, n) represents the number of ways to select n people from a group of 20 people.
For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:
C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504
Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.
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lim x- 2 ln(x+3)-ln(5)/x-2
Answers
the limit of the given expression as x approaches 2 is 1/5.
To find the limit of the expression:
lim(x→2) [(ln(x + 3) - ln(5))/(x - 2)]
We can simplify it using logarithmic properties. Recall that the logarithmic property states:
ln(a) - ln(b) = ln(a/b)
Applying this property to our expression, we have:
lim(x→2) [ln((x + 3)/5)/(x - 2)]
Now, let's evaluate the limit:
lim(x→2) [ln((x + 3)/5)/(x - 2)]
By direct substitution, we get an indeterminate form of 0/0. We can use L'Hôpital's Rule to find the limit.
Applying L'Hôpital's Rule, we take the derivative of the numerator and the derivative of the denominator:
lim(x→2) [(1/(x + 3))/1]
Simplifying further, we have:
lim(x→2) [1/(x + 3)]
Now, we can substitute x = 2 into the expression:
lim(x→2) [1/(2 + 3)]
= lim(x→2) [1/5]
= 1/5
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Please Help! will give brainlest!
Answers
Answer:
No, because triangle XYZ is not a right triangle.
Step-by-step explanation:
SOHCAHTOA (sin, cos, tan) can only work on right triangles. If a triangle is not a right triangle, you cannot use sin cos tan on it. This triangle is not a right triangle, so this is why you cannot fin the tangent ratio.
What is the slope of a line that goes through the origin and the point (6, -4)?
Answers
The slope of the line that goes through the origin and the point (6, -4) is -2/3.
To find the slope of a line that goes through two given points (x₁, y₁) and (x₂, y₂), you can use the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, one of the points is the origin, which has coordinates (0, 0), so x₁ = 0 and y₂ = 0. The other point is (6, -4), so x₂ = 6 and y₂ = -4. Substituting these values into the slope formula gives:
slope = (-4 - 0) / (6 - 0) = -4/6 = -2/3
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What is the simplified form of the fraction below 14/49
Answers
Answer:
That would be 2/7.
Step-by-step explanation:
By finding the GCD between 14 and 49, you can reduce the fraction.
The GCD between 14 and 49 is 7.
By dividing both 14 and 49 by 7, you'll reduce your answer.
14/49 ---> 2/7
if a test has a standard deviation of 20 and a reliability of .90, what is the standard error of measurement?
Answers
The standard error of this measurement is 6.32
How to determine the standard error of measurement?The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.
In this case, we have the following parameters
Standard deviation = 20
Reliability = 0.90
The standard error of measurement from the standard deviation and the reliability is calculated using the following formula
Standard error of measurement = Standard deviation * √1 - reliability
Substitute the known values in the above equation, so, we have the following representation
Standard error of measurement = 20 * √1 - 0.90
This gives
Standard error of measurement = 20 * √0.10
Evaluate
Standard error of measurement = 6.32
Hence, the standard error in this case is 6.32
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Find the perimeter of the figure to the nearest hundredth. perimeter: about __ in
Answers
Hope this helps. Have a nice day!
Which of the following can be used to show that these triangles are congruent?
Answers
The hidden information is that angleACB is equal to angle DCE
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An operating characteristic curve is based on a(n) ________ probability distribution. a. uniform b. normal c. exponential d. binomial
Answers
An operating characteristic curve is based on a(n) binomial distribution probability.
According to the statement
we have given that the an operating characteristic curve and we have to tell the name of the probability based on the this curve is called.
So, For this purpose, we know that the
The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.
And in this type of probability, it is given by a characteristics curve and The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated
So, this is called the binomial distribution probability.
So, An operating characteristic curve is based on a(n) binomial distribution probability.
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the price of a necklace was increased by 10% to £150. what was the price before the increase
Answers
Answer:
$135
Step-by-step explanation:
10% of 150 = 15
150 - 15 = 135
Increased by 10%.
So, 150 x 0.10 = 15
The necklace was increased by £15.
The price before the increase is £150 - £15.
This amount is £135.
PLEASE SOMEONE HELP ME! I NEED THE ANSWER ASP
The water spray from a spinning lawn sprinkler covers a circular area of 196π square feet. If Ray is standing 30 feet away from the sprinkler as it is spraying water, which of the following statements is true?
A. Ray will get wet because the sprinkler sprays an area with a radius of 196 feet and 30<196.
B Ray will stay dry because the sprinkler sprays an area with a radius of 14 feet and 14<30.
C. Ray will stay dry because the sprinkler sprays an area with a radius of 28 feet and 28<30.
D. Ray will get wet because the sprinkler sprays an area with a radius of 98 feet and 30<98.
Answers
Answer:
moooooooooooooooooo
Answer:
yes I need to wash ur homework
Is 8 a whole number?
Answers
Answer:
Yes.
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $134.50 to spend on parking and admission. Parking is $14.50, and tickets cost $24 per person, including tax. How many people can go to the amusement park?
Answers
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Select one:
1/3
1/25
1/5
1/4
Answers
Step-by-step explanation:
what happens, when we actually calculate the given fractions ?
after all, a fraction is always a division.
so,
1/3 = 0.3333333333...
1/25 = 0.04
1/5 = 0.2
1/4 = 0.25
aha !
1/4 is the correct answer.