find the value in this equation 16y=164
16y = 164
divide both sides by 16
y = 164 / 16 = 10.25
y = 10.25
Answer:
Step-by-step explanation:
16y=164
16/16=1 164/16= 10 1/4
164 divided by 16 is 10 1/4 when your dividing it step by step on paper.
Which property of multiplication is used to rename 5/6 to 10/12?
The property of scaling or multiplying by a fraction is used to rename 5/6 to 10/12.
Explanation:The property of multiplication used to rename 5/6 to 10/12 is the property of scaling or multiplying by a fraction. To rename a fraction, you can multiply both the numerator and denominator by the same number. In this case, we can multiply both 5 and 6 by 2 to get 10 and 12 respectively. Therefore, 5/6 = 10/12.
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What is the solution of the system?
Use the elimination method.
−4x−2y=−12
2x+4y=−12
(?,?)
Please Help!
Answer:
The solution of the equation −4x−2y=−12 , 2x+4y=−12 are (6 , -6) .
Step-by-step explanation:
As given the equations are
−4x−2y = −12
Simplify the equation
-2(2x + y) = -12
2x + y = 6
Another equation
2x+4y=−12
2(x+2y) = −12
x + 2y = -6
Two equation becomes
2x + y = 6
x + 2y = -6
Multiply x + 2y = -6 by 2 and subtracted from 2x + y = 6 .
2x - 2x + y - 4y = 6 + 12
-3y = 18
[tex]y = \frac{-18}{3}[/tex]
y = -6
Putting the value of y in the equation
2x + -6 = 6
2x = 12
[tex]x = \frac{12}{2}[/tex]
x = 6
Therefore the solution of the equation −4x−2y=−12 , 2x+4y=−12 are (6 , -6) .
What is the largest rectangular area that can be enclosed with 400 feet of fencing?
in parallelogram ABCD, angle D is a right angle. determine whether the parallelogram is a rectangle. If so, by what property
When you calculate the sample mean, you divide the sum of the values in the sample by..?
The sample mean is calculated by adding up all the values in a sample and then dividing this total by the number of values in the sample.
Explanation:When you calculate the sample mean, you divide the sum of the values in the sample by the number of values in that sample. For instance, if your sample contains the values 2, 4, and 6, you would add all these values together to get 12. Then, you would divide this total by 3, because there are three values in your sample. This would give you a sample mean of 4.
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Suppose that you are headed toward a plateau 19.3 meters high. if the angle of elevation to the top of the plateau is 29.5 degrees, how far are you from the base of the plateau?
Evaluate 1/4c + 3d when c = 6 and d = 7
An investment of $7,650 earns interest at the rate of 5% and is compounded quarterly. What is the accumulated value of the investment at the end of 9 years?
a.
$11,964.17
b.
$11,867.66
c.
$9,338.56
d.
$8,554.94
Answer:
$11,964.17
Step-by-step explanation:
Plz help! :p
The tables below show the values of y corresponding to different values of x:
Table A
x 3 3 2
y 1 0 0
Table B
x 3 5 5
y −2 2 −2
Which statement is true for the tables?
Both Table A and Table B represent functions.
Both Table A and Table B do not represent functions.
Table A does not represent a function, but Table B represents a function.
Table A represents a function, but Table B does not represent a function.
Answer:
Table A represents a function but Table B does not represent a function.
Step-by-step explanation:
419% of what number is 33.52 ? Find the answer in proportions
To solve the problem, '419% of what number equals 33.52?', one sets up a proportion and solves for the unknown. The calculated result equates to approximately 7.99.
Explanation:This question is asking for the base number where 419% of it equals 33.52.
Proportions play a crucial part in the calculation. Think of percentages as fractions with a denominator of 100. So, 419% can be written as 419/100. Now, let's set up a proportion to find our unknown number:
Let the unknown number be x.Set the proportions as follows: (419/100) / x = 33.52 / 1. This is because 419% of x equals 33.52.Now, cross-multiply and solving for x gives you the equation 419 * 1 = 100 * 33.52.Finally, solving for x gives x = (100 * 33.52) / 419. This results in approximately 7.99.Learn more about Percent Proportions here:https://brainly.com/question/31487888
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The line parallel to y=9x+4 that passes through (2,7)
The equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the equation y = 9x + 4, the slope of the line is expressed as:
mx = 9x
m = 9
We will use the same slope since the lines are parallel
Substitute the slope and the given point into the formula;
y - 7 = 9 (x -2)
y - 7 = 9x - 18
y = 9x -18 +7
y = 9x - 11
Hence the equation of the line parallel to y=9x+4 that passes through (2,7) is y = 9x - 11
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In your top dresser drawer are 6 blue socks and 10 grey socks, unpaired and mixed up. one dark morning you pull two socks from the drawer (without replacement, of course!). what is the probability that the two socks match?
Sterday, a movie theater sold 262 bags of popcorn. a large bag of popcorn costs $3. a small bag of popcorn costs $1. in all, the movie theater made $412 from popcorn sales. write and solve a system of equations to find how many bags of each size of popcorn were sold.
One number is 3 more than another. Their sum is -13. Find the numbers
Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. how many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet?
Answer:
101.8182 pounds.
Step-by-step explanation:
He used 40 pounds of insecticide to cover 1760 square feet of lawn and 60 pounds to cover an additional 2640 square feet. So,
1760 + 2640 = 4400 square feet of lawn with 40+60 = 100 pounds of insecticide. Then, his whole lawn is 4480 square feet andn he already covered 4400, so he need to cover 4480 - 4400 = 80 square feet more.
Now, one of the data given we can do a proportion:
40 pounds to 1760 square feet = [tex]\frac{40pounds}{1760ft^2}[/tex]
x pounds to 80 square feet = [tex]\frac{xpounds}{80ft^2}[/tex]
[tex]\frac{40pounds}{1760ft^2}=\frac{xpounds}{80ft^2}[/tex]
[tex]xpounds*1760ft^2 = 80ft^2*40pounds[/tex]
[tex]xpounds = \frac{80ft^2*40pounds}{1760ft^2}[/tex]
[tex]xpounds = \frac{3200pounds}{1760}[/tex]
[tex]x = 1.8182 pounds.[/tex]
Then, to cover his whole lawn of 4480 square feet he needs 100+1.8182 = 101.8182 pounds of insecticide.
For many hotels, including the Grand Hotel Toplice, the price of a room will fluctuate depending on _____
a.
the time of day
b.
the time of year
c.
the gender of the person
d.
the nationality of the person
Answer:
b.
the time of year
Step-by-step explanation:
The question is to select a suitable option from the given four option to find out the factor that affects the price of room most
a) Time of day is immaterial as hotels charge 24 hours at whatever time they enter.
b) time of year -- this is a correct factor as prices of rooms depend upon demand and demand increases due to seasons, holidays, festivals, etc.
c) the gender of the person is irrelevant in determining the price of the room as equal prices for both genders.
d) nationality of the person cannot differentiate the prices charged
Hence the suitable option is
b.
the time of year
The space between the text and the top, bottom, left and right edges of the paper are called?
The space between text and the edges of the paper is known as margins. These are essential for creating visually pleasing documents and providing space for binding or notation. They are adjustable in text-editing software.
Explanation:The space between the text and the top, bottom, left, and right edges of the paper is known as margins. They are essential in creating a visually pleasing document while offering a significant area for binders or for allowing readers to make notes. For example, in Microsoft Word or other text-editing software, you can adjust the size of the margins under the 'Page Setup' option.
As an additional point, 'the distance between the plates', 'the area', 'the length of a side', and both 'the area and the length of a side' are related to the geometry and physics field. These phrases are typically used when discussing measurements in these subjects, but they don't directly relate to this specific question about margins.
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Write the ratio as a fraction in simplest form. 213213 feet : 412412 feet the ratio as a fraction in simplest form is .
Which equation in point-slope form contains the points (8, 10) and (–4, 2)?
The equation in point-slope form containing the points (8, 10) and (-4, 2) is y - 10 = (2/3)(x - 8).
Explanation:The point-slope form of a linear equation is given by where (x1, y1) represents the given point and m represents the slope. To find the equation in point-slope form containing the points (8, 10) and (-4, 2), we need to calculate the slope first. The slope m can be calculated using the formula m = (y2 - y1) / (x2 - x1).
Using the given points (8, 10) and (-4, 2), we can substitute the values into the formula to find the slope:
Now that we have the slope, we can use one of the given points to write the equation in point-slope form. Let's use the point (8, 10):
Factor? for 6xy−3x−8y+4
A number or algebraic expression that divides another number or expression evenly is factor. (2y-1) and (3x-4) are factors for 6xy−3x−8y+4.
What are factors?a number or algebraic expression that divides another number or expression evenly is called factor.
We need to find factors for 6xy−3x−8y+4.
The given expression is
6xy -3x -8y +4
Take common terms
3x (2y - 1 ) - 4 (2y -1)
(2y-1) (3x-4)
Therefore the factors are (2y-1) (3x-4) for 6xy−3x−8y+4.
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If h(x) = 3x −7, find h(4). Show all work for credit!
How many complex roots does the polynomial equation have? 3x^5−2x+1=0
Answer:
The polynomial equation has 5 complex roots.
Step-by-step explanation:
Which of the following equations represents a line that is perpendicular to the line that passes through the points below?
(-8, -10) (-6, -2)
Thank you!
By calculating the slope of the line passing through the given points to be 4, the slope of any line perpendicular to this would have the opposite reciprocal, -1/4. Without a specified point for the line to pass through, (0,0) is used and the equation of the perpendicular line is y = -1/4x.
Explanation:The first step to finding a line perpendicular to another is understanding the concept behind the slope of a line. The slope of a line is determined by comparing the vertical change (rise) to the horizontal change (run) between two points on a line.
For the points (-8, -10) and (-6, -2), the slope would be calculated as follows: (change in y)/(change in x), which in this case would be (-2 - (-10))/(-6 - (-8)). Simplifying that expression gives us a slope of 4.
The opposite reciprocal of 4 is -1/4 (we flipped the fraction and changed the sign). This is the slope of all lines perpendicular to the original line.
Lastly, for the equation of a line, we need a point for the line to pass through, since the question didn't specify a point, we can use (0,0), so the equation of our perpendicular line is y = -1/4x.
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what is the domain of the following parabola
Answer:
C. All real numbers.
Step-by-step explanation:
We have been given an image of a parabola. We are asked to find the domain of given parabola.
We know that domain of a function is all real values of x for which function has a defined value.
We know that domain of a quadratic function is all real numbers, therefore, option C is the correct choice.
Answer: R
Step-by-step explanation: The domain of a function is the set of all x-values of the function.
The x-values on a coordinate system are the left-and-right values and
we can see that the parabola is expanding infinitely to the left and
to the right so the domain of the function is all real numbers.
Although there is an all real numbers option, you can also represent
this idea using a capital R like I have done below.
PLEASE PLEASE HELP IM LITERALLY CRYING.
Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.
What is the equation for g(x)?
Enter your answer in the box.
g(x)= ????
Answer:
g(x) = 32x-7
Step-by-step explanation:
A vertical stretch is shown in an equation by multiplying the equation by a factor greater than 1. Since we are stretching by a factor of 4, we multiply the equation by 4:
g(x) = 4(8x) = 32x
A vertical translation is performed by subtracting a value from a function. To translate the function 7 units down, we will subtract 7 from the equation:
g(x) = 32x-7
The equation for g(x) = 32x - 7.
Given that,
Let f(x) = 8x,The graph of f(x) should be transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.Based on the above information, the calculation is as follows:
g(x) = 4(8x)
= 32x
Now here we subtract 7 from the equation.
So, it is g(x) = 32x-7
Therefore we can conclude that the equation for g(x) = 32x - 7.
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Evaluate the function rule for the given value.
y= 4 X 2^x for x = –6
A: 1/16
B: -48
C: 1/8
D: 1/32
The midpoint of EF is M (4,10) one endpoint is E (2,6). Find the coordinates of the of the other endpoints F.
6,14
6,17
10,17
14,8
By applying this formula and solving for the unknown coordinates, the coordinates of endpoint F are determined to be (6, 14).
The student is asking to find the coordinates of the other endpoint F of a line segment EF given that the midpoint M is (4,10) and one endpoint E is (2,6). To find the coordinates of F, we can use the midpoint formula which states that the midpoint's coordinates are the averages of the endpoints' coordinates:
Midpoint Formula
Mx = (Ex + Fx) / 2
My = (Ey + Fy) / 2
Knowing the coordinates of endpoint E (2, 6) and midpoint M (4, 10), we can set up two equations to solve for the coordinates of F.
Finding Fx
4 = (2 + Fx) / 2
=> Fx = 4 * 2 - 2
=> Fx = 6
Finding Fy
10 = (6 + Fy) / 2
=> Fy = 10 * 2 - 6
=> Fy = 14
Therefore, the coordinates of the other endpoint F are (6, 14).
what number is 8.2% of 50
A car Travel 476 miles on 14 gallons of gas. Write an eqation relating the distance d to the nuber of gallons
g. How mmany travel 578 miles