Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
Define perimeter.In geometry, a shape's perimeter, or overall length, is referred to as its perimeter. The lengths of all a shape's sides and edges are added up to determine its perimeter.
Here,
Given : length = 5 - 1(x) or
=> length = 5-x
Width is twice the length
thus,
=>Width = 2(5-x)
=>Width = 10-2x
So ,To find the perimeter
We use,
=> Perimeter = 2(length + width)
=> Perimeter = 2( 5-x + 10-2x )
=> Perimeter = 2( 15 -3x)
=> Perimeter = 30 -6x
Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
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PLS HELP!! Thank you so much
Perimeter stuff
Answer:
Perimeter = 9x + 6
Step-by-step explanation:
Perimeter = x+14 + x-1 + x+5 + 3x + 2x-10 + x-2
Perimeter = 9x + 14 + 5 - 1 - 10 - 2
Perimeter = 9x + 19 - 13
Perimeter = 9x + 6
Round 0.25773438 to the nearest hundredth
Answer:
The answer is 0.26.
I wish you luck on your assignments.
Answer: 0.26
Step-by-step explanation:
1. The hundredths place is two digits from the decimal point
2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same
3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6
4. Our final answer is 0.26
What is the coordinate of the vertex of this following parabola?
Comparing the parabola's equation to the formula [tex]y = ax^2 + bx + c[/tex] in standard form is the first step. In step 2 Apply the formula h = -b/2a to find the vertex's x-coordinate. In step 3 Substitute x = h in the expression [tex]y = ax^2 + bx + c[/tex] to obtain the vertex's y-coordinate (k).
How are the axis and vertex determined?The equation of the parabola's axis of symmetry is the vertex's x-coordinate. The axis of symmetry for a quadratic function in standard form, [tex]y = ax^2 + bx + c[/tex] is a vertical line, [tex]x=b^2a[/tex].
What exactly is a vertex?The intersection of two lines or rays that create an angle is known as the vertex of the angle.
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What is 20% of 80 plus 15% of 30?
20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.
For the simple harmonic motion equation d=2 sin(pi/3 t), what is the frequency? If necessary, use the slash (/) to denote a fraction.
Answer:
The frequency is f = 1/T = 1/2 Hz.
Step-by-step explanation:
The frequency of a simple harmonic motion equation can be found by taking the inverse of the period. The period of a simple harmonic motion equation is the time it takes for the motion to repeat itself. In the equation d=2 sin(pi/3 t), the period is T = 2*(pi/3)/(pi/3) = 2 seconds. Therefore, the frequency is f = 1/T = 1/2 Hz.
Answer:1/6
Step-by-step explanation:
what is the slope for the equation?
Answer:
Slope: -1/2
Step-by-step explanation:
You can find the slope from this equation by adding 1/2 to each side of the equation since the way you find the slope of a line is by using: y = mx + b. The "m" must ALWAYS be on the right for it to be a valid slope equation, therefore, we have to use inverse operations for -1/2x to bring it to the right side.
Now, after we added 1/2x to each side, we get this equation:
-y = 1/2x + 3/4
We are not yet done since the y is accompanied by a negative 1, so, to isolate the variable, you use inverse operations once again and you get this equation:
y = -1/2x - 3/4
Therefore, the slope for this equation is -1/2.
Hope this helped! :D
A six-sided die is tossed three times. The probability of observing three ones in a row is
1 / 156
1 / 216
3 / 46
1 / 120
Reason:
There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.
It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.
This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.
PLEASE HELP I WILL GIVE BRIANLI EST
The number of students at the open house is B. 468.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
We know if a and b are two quantities in a total quantity (ax + bx) the amount of a single quantity can be obtained by [a/(a+b)]× (ax + bx).
Given, The ratio of students to adults at the open house is 9 : 7 and the total number of students and adults at that place is 832.
Therefore,
The number of students is,
= (9/9+7)×832.
= (9/16)×832.
= 9×52.
= 468.
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Logic, Reasoning and Puzzles Assignment
Solving a Payment Puzzle
A wealthy and generous owner of an Internet company offers two
options of payment to her new vice president.
Option 1: a monthly salary
of $50000 per month paid
at the beginning of each
month
Name: Yaseen
Option 2: a monthly salary
based on 1¢ the first day,
2¢ the second day, 4c the
third day, 8¢ the fourth day,
and so on. The monthly salary
will be the amount calculated
for the last day of the month.
Assume there are 30 days in the month.
A. How can you calculate the vice president's earnings under
Option 2?
B. Compare the monthly earnings for the two options.
1.9
C. Which payment option would you take if you were the vice
president? Why?
Answer:
very long question
Step-by-step explanation:
hey could anyone solve this for me and make sure its correct
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those provided
[tex]R(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad S(\stackrel{x_2}{15}~,~\stackrel{y_2}{31}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{31}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{5}}} \implies \cfrac{ 24 }{ 10 } \implies \cfrac{12 }{ 5 }[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{12}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{12}} ~\hfill \stackrel{negative~reciprocal}{ {\Large \begin{array}{llll} -\cfrac{5}{12} \end{array}} }}[/tex]
Step-by-step explanation:
the slope of a line is the ratio
y coordinate change / x coordinate change
when going from one point on the line to another.
the perpendicular slope is simply turning that ratio fraction upside down and flips the sign.
(5, 7) to (15, 31)
x changes by +10 (from 5 to 15).
y changes by +24 (from 7 to 31).
the slope (or gradient) is therefore
+24/+10 = 12/5
the perpendicular slope or gradient is then
-5/12
Find the length of the line segment shown below.
The line segment AB is d = [tex]\sqrt{106}[/tex] in length if (-5, 4) and (B), and A = (-5 , 0) . A line segment is hence a section or component of a line with two endpoints.
what is line segment ?A line segment in geometry is bordered by two separate points on a line. A line segment has two fixed or distinct endpoints, whereas a line has no endpoints and can stretch in both directions indefinitely. A line segment is hence a section or component of a line with two endpoints. A line segment, unlike a line, has a set length. Measuring the length of a line segment can be done using either metric measurements, such as millimeters or centimeters, or conventional measurements, such as feet or inches.
given
d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
(5 )2 + ( 9 ) 2 = d
d = 25 + 81
d = [tex]\sqrt{106}[/tex]
The line segment AB is d = [tex]\sqrt{106}[/tex] in length if (-5, 4) and (B), and A = (-5 , 0)
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what values are solutions for inequality -3 < 2x -3
The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.
What is the solution to the given inequality?Given the inequality in the question;
-3 < 2x -3
Solve for x, by making it the subject of the formula.
Subtract 2x from both sides
-3 < 2x -3
-3 - 2x < -3
Add 3 to both sides
-3 + 3 - 2x < -3 + 3
-2x < -3 + 3
-2x < -3 + 3
-2x < 0
Next, divide both sides by -2
-2x/-2 > 0/2
x > 0/2
x > 0
Therefore, the solution to the inequality is x > 0.
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find quotient 5/4 divided by 13/12
Answer: 1.15384615385
Step-by-step explanation:
divide
sum of -7g and 4g+2
The sum of the given two expressions -7g and 4g+2 is -3g+2.
What are algrbraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
What are the types of algebraic expressions?There are mainly 3 types of algebraic expressions which are:
Monomial ExpressionBinomial ExpressionPolynomial ExpressionThe sum of given expressions , -7g and 4g+2 can be performed as follows:
-7g + (4g + 2)
= (-7+4)g + 2
= -3g + 2
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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.
How to find the percent error?Using this formula to find the percent error
Percent error = Measurement - Actual length / Actual length
Let plug in the formula
Percent error = 12.2 - 12.1 / 12.1
Percent error = 0.1 /12.1
Percent error = 0.0083 or 0.83%
Therefore we can conclude that the percent error is 0.83%.
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Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
What is the vertext of the following parabola: x^2 - y + 6x + 8 = 0
Answer: y=(x+3)2−17
Step-by-step explanation:
44x46 ayuda plssss speak spanish plssssss
Answer:2024
Step-by-step explanation: 44x46
What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?
The image point of (0, 4) is (0, -4).
What is Cartesian plane?The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.
The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.
Given points (0, 4)
to find image of the point (0,4) after a rotation of 180 degrees,
The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(4) is -4
This makes our new point (0, -5).
Hence the image of point is (0, -4).
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Mario had yards of ribbon for a project. Sue gave him more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
The closest to the number of yards of ribbon Mario had altogether will be 11 yards
What is meant by Fraction?A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that;
Mario had 8 1/5 yards of ribbon for a project.
And, Sue gave him 2 3/4 more yards of ribbon.
Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.
Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards
= 41/5 + 11/4
= (164 + 55) / 20
= 219 / 20 yards
= 10.95 yards
≈ 11 yards
Thus, the total ribbon for the project Mario has = 11 yards
The complete question is given below;-
Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
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What is 0.3172 rounded to the nearest tenth?
Answer:
0.3172 rounded to the nearest tenth would be 0.3.
This is because you would first look at the number in the tenths place which is 3.
Then you would look to the number to the right to determine if you would round up or down.
If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.
If the number were 5, you would look to the number in the thousandths place and then go from there.
Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.
Step-by-step explanation:
Hope it helps! =D
Answer: 0.3171 rounded to the nearest tenth is 0.3.
Step-by-step explanation:
Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):
Find the tenth digit, = 3 in the 0.3171.
Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down.
= 1 in the 0.3171
Because 1 is less than 5, the tenth position digit 3 remains constant.
Remove all digits to the right of the rounding digit and rewrite the number.
As a result, 0.3171 rounded to the nearest tenth is 0.3.
Quad. PQRS ~ Quad. TUVW, Owe side of PORS has the length 12. The corresponding side of TUVW has length 15. The perimeter of TUVW is 35 and the perimeter of PQRS is?
Pls help me solve this!!
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given : PQRS has the length 12
and TUVW has length 15.
thus ,
To find the perimeter of PQRS:
we find,
TUVW = 35 units
and
PQRS = 35 - 6
=> PQRS = 29
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
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A prescription indicates that 1.25 grams of a given drug should be taken
Twice a day. If the drug is available in 500 milligram tablets, how many tablets does it Will the patient take every 12 hours?
Please help me with these questions if can explain i am a bit confused at it
On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
Use the point (3, 2) and divide y by x using the formula y/x = k.
[tex]k = 2/3[/tex]
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Please someone help me
Answer:
6,9 and 3 times respectively
Which graph represents the solution to 1/7 m < - 1/22
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
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how many full cases and additional items are needed to fulfill the order 50 items ordered 12 items per case
Answer: Your answer is 60 divided by 13 = 4.165.
Step-by-step explanation: You would have to divide 12 out of 50, and that would be a decimal of 4.166666666666667 So you need an aditional 10 items but then another additional suitcase there is an answer to this but it would come out as a decimal or fraction, so you would have to specify what type of object is going into these suitcases, most people would just deal with it and carry it in the hands lol.
Helppp I can’t solve this….
So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!
We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!
Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]
(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)
[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]
As we can see, no matter which points you use, it will always simplify to the same slope!
Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!
We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:
[tex]y-23=20(x-x_1)[/tex]
And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).
[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]
So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!
[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]
This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)
Therefore, our final equation is:
y - 23 = 20 (x - 0)
y = 20x + 23 (same answer, just in a different form)
The product of -12 and a number is the same as the sum of the number and 26
-2
Step-by-step explanation:
12x＝x+26
-13x＝26
x＝-2