Combine like terms start fraction 11 over 2 end fraction y and 2. distribute 15 to each term on the left side. Subtract start fraction 11 over 2 end fraction y from each side of the equation.
To divide each side of the equation by 2.
Your fractions are missing there fraction bars:
3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)
15y − 6 + 5 = 1/2 y + 5y + 2
15y − 1 = 11/2 y + 2
A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable
B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1
C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.
15y-1=11/2y+2
Subtracting 11/2y on both sides
9.5y-1=2
That looks pretty good because then you would add 1 on both sides giving:
9.5y =3
Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.
D. You could actually do this but it doesn't help you get x by itself. The equation would look like this: 15/2 y-1/2=11/4 y+1
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Answer:
C is your answer
Step-by-step explanation:
Carmen tutors history. For each hour that she tutors , she earns 30 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use the equation to find Carmen’s earnings after tutoring for 13 hours.
Equation: ______
Carmen’s earnings for 13 hour’s: ____ dollars
An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.
Equation: An equation is created by equating two equations with an equal sign '='.
Let's say Carmen is earning $30 per hour of her tutoring her.
Therefore, the formula for Carmen's income after H hours of tutoring can be written as:
Income = hourly wage for individual instruction x number of hours
I = 30 × H
I = 30H
After 13 hours of tutoring, Carmen's income will be:
I = 30 (13)
I = 390
So, after 13 hours of tutoring, Carmen's income will be $390.
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Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose AC = 48 cm and QD = 51 cm. What is the length of QC?
pq
QC is
cm in length.
The length of segment QC, using the Pythagorean Theorem, is of:
QC = 45 cm.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the length of the hypotenuse is obtained according to the equation presented as follows
[tex]h^2 = l_1^2 + l_2^2[/tex]
The length of QC is obtained considering that QC is a leg of a right triangle in which:
BC is the other leg.QB is the hypotenuse.The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints, thus the length of segment QB is given as follows:
QB = QD = 51 cm.
B is the midpoint of AC, hence the length of segment BC is given as follows:
BC = 0.5 x AC = 0.5 x 48 = 24 cm.
Hence the length of QC is obtained as follows:
QC² + 24² = 51²
QC = sqrt(51² - 24²)
QC = 45 cm.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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Brad graphs the function y = |x-2|Cindy graphs the function y=-|x-2| How does Cindy's graph compare to Brad's graph?
O Cindy's graph is a reflection of Brad's graph across the x-axis.
O Cindy's graph is a reflection of Brad's graph across the y-axis.
O Cindy's graph is one unit to the right of Brad's graph.
O Cindy's graph is one unit to the left of Brad's graph.
Cindy's graph is a reflection of Brad's graph across the x - axis.
What is transformations of graph?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Given:
Brad graphs the function y = |x-2|
Cindy graphs the function y=-|x-2|
If f(x) = |x - 2| and f(x) = - |x - 2|
Since, if the transformation of the graph is f(x) changes to -f(x) then there is reflection over x - axis.
Here y changes to -y.
Therefore, Cindy's graph is a reflection of Brad's graph across the x-axis.
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An airine offerthe ame number of ticket for morning and night flight. When the airline analyzed ticket ale, they determined that the ratio of the number of old ticket to the number of unold ticket wa 3:5 on morning flight and 7:1 on night flight. Ifthe airline ell 581 ticket on night flight, how many unold ticket can the airline expect on morning flight?
415 unsold ticket can the airline expect on morning flight by ratio .
What does a math ratio mean?
When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. A proportion is an equation that sets two ratios at the same value. As an illustration, you could write the ratio as 1: 3 if there is 1 boy and 3 girls.7:1 means 7/8 of the offered tickets are sold at night. 581 is 7/8 of the total night tickets offered
the total offered is 8/7 times 581 = 8(581/7) = 8(83) = 664 total offered for night & mornings.
3:5 ratio means 5/8 of the total offered go unsold (5/8)(8)(83) = 5(83)= 415 unsold morning tickets
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Find the equation of the straight line passing through each of the following pairs of points.
( 11 , 13) and (14, 19)
=========================================================
Explanation:
Let's find the slope of the line through the given points.
[tex](x_1,y_1) = (11,13) \text{ and } (x_2,y_2) = (14,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 13}{14 - 11}\\\\m = \frac{6}{3}\\\\m = 2\\\\[/tex]
The slope is 2.
Now apply point-slope form and solve for y as shown in the steps below.
[tex]y - y_1 = m(x - x_1)\\\\y - 13 = 2(x - 11)\\\\y - 13 = 2x + 2*(-11)\\\\y - 13 = 2x - 22\\\\y = 2x - 22 + 13\\\\y = 2x - 9\\\\[/tex]
The answer is y = 2x - 9
It's of the form y = mx+b
m = 2 = slopeb = -9 = y intercept----------------------------------------
Check:
Let's plug in x = 11.
We should get y = 13 as a result because of the point (11,13)
So,
y = 2x-9
y = 2*11-9
y = 22 - 9
y = 13
This confirms y = 2x-9 goes through (11,13)
Follow similar steps to show that x = 14 leads to y = 19.
I'll let you do this part.
What is the equation of the line shown in this graph?
(-2,2)
(-2,-3)
The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2
The standard equation of a line graph is expressed as [tex]y=mx+c[/tex]
m is the slope of the line
c is the y-intercept
Given: coordinate points (-2, 2) and (-2, -3)
The coordinates are in the form of (x₁,y₁) and (x₂,y₂)
Slope of the equation is [tex](\frac{y2-y1}{x2-x1})[/tex]
So ,slope=[tex](\frac{-3-2}{-2+2})[/tex]
=[tex](\frac{-5}{0})[/tex]
=∝
Since the slope of infinity, this shows that the line is a vertical line. The standard equation of a vertical line is x = a
Since the x-coordinates are similar, hence a = -2
The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2
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10 Can this be simplified? If "yes", then
simplify it. If "no", then explain why.
a²/b^8
Answer:
No
Step-by-step explanation:
You can't simplify this equation any further because the bases (a, b) aren't the same.
For example:
You can simplify a^2/a^8 to be 1/a^6
Steps:
a^8=(a^2*a^6)
a^2/a^2*a^6
a^2 ÷ a^2=1
1/a^6
(You can only break the exponent up and divide the quotient if the base is the same!)
73. in order to estimate the proportion, p, of defective transistors in a lot containing 100,000 transistors, a sample of size 800 is drawn yielding 5 defective transistors. a. use the sample to give a point estimate for p. b. how large a sample would be required to estimate p within 0.1% at the 95% level of confidence?
For option, A point estimate p is = 5/800 = 0.00625
For option B 23860 large sample must be required to estimate p within 0.1% at 95% level of confidence.
Margin of Error = 0.1% = 0.001
The critical Z value for a 95% confidence level is 1.96
Required sample size, n = (z / E)² * p(1-p)
= (1.96 / 0.001)² * 0.00625 * (1 - 0.00625)
= 23860 (Rounding to the nearest integer)
Point estimate of difference in means = 89.5 - 55.9 = 33.6
The standard error (SE) of the sampling distribution of the difference in means is
SE = √{ (s_1²/n1) + (s_2²/n2) }
= { √(16.8²/78) + (8.2²/117) }
= 2.047721
Degree of freedom = min(n1 - 1, n2 -1) = min(78-1, 117-1) = 77
The critical value of t at df = 77 and the 99% confidence interval is 2.64
99% confidence interval of the difference in means is,
(33.6 - 2.64 * 2.047721 , 33.6 + 2.64 * 2.047721)
(28.19, 39.01)
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Manuel completed the right column of the table to help him find the difference of 5/8 and 1/4 .
Answer:
2 step because they changed 1/4 into 1/8
Step-by-step explanation:
what is (-4, -2) reflected across the Y-AXIS
Answer:
(4, -2)
Step-by-step explanation:
You want the coordinates of the point (-4, -2) after its reflection across the y-axis.
ReflectionThe x-coordinate of a point tells you its horizontal distance from the y-axis. When a point is reflected across the y-axis, it is moved to the other side by the same distance. That is, the sign of the x-coordinate changes.
(x, y) ⇒ (-x, y) . . . . . . . reflected across the y-axis
(-4, -2) ⇒ (4, -2) . . . . . reflected given point
The coordinates of the reflection are (4, -2).
<95141404393>
2x² + 3x - 14
Please helppp!
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 2. 5x + 3 represents the cost y of bowling x games. Interpret the parameters of the function.
The cost for renting shoes is represented by the number 3.
The cost per game is represented by the number 2.5.
The given equation is a linear one. One variable with a power of one makes up a linear equation.
y= 2.5x + 3
2.5 in the above calculation stands for the extra cost for each game played. Each game played sees an increase in this number.
When:
The additional cost is 2.5 x 1 = 2.50 for 1 game played.
If 10 games are played, the extra cost is 2.5 times 10 games, or $25.
The base rate to rent the shoes is $3. It is an ongoing expense that stays the same regardless of how many games are played.
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15) The circumference of a circle is 20π ft. There's a 25% reduction of the circle's radius. What is the area of
the circle are the reduction of the radius?
Answer:
314 cm squared
Step-by-step explanation:
yea think so
Find the domain and the range of each function, h(x)=-2|x|
By using the properties of domain and range, it can be inferred that
Domain of the function h(x) = -2|x| is the set of all real numbers
Range of the given function h(x) = -2|x| is the set of all negative real numbers
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here,
h(x) = -2|x|
h(x) is defined for all x ∈ R
Domain of the given function is the set of all real numbers
For range
we know,
[tex]|x| > 0\\-2|x| < 0\\h(x) < 0[/tex]for all x ∈ R
Range of the given function is the set of all negative real numbers
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A piece of notebook paper measures 8 1/2 inches by 11 inches. Which of the following metric approximations is the same?
a. 2 m x 2.8 m
b. 3 cm x 4 cm
c. 22 cm x 28 cm
d. 30 m x 40 m
The approximation in meters that is same with a notebook paper measures 8 1/2 inches by 11 inches is
c. 22 cm x 28 cmHow to determine approximationsThe approximation is solved by converting the given unit to metric
The conversion from inches to metric
meters = m
inches = in
The unit conversion factor is given as
1 meter = 39.3701 inches
? meter = 8 1/2 inches
cross multiplying gives
? * 39.3701 = 1 * 8 1/2
? = 8 1/2 / 39.3701
? = 0.2159 m
? = 21.59 cm
? =22
11 inches to metric
? = 11 / 39.3701
? = 27.94 cm
? = 28
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Point A is located on a coordinate plane at (-5, -4). The location of Point B is 6 units to the right of and 7 units down from Point A
HELP ME PLSS
Times for the three parts of a journey are 20 minutes 40 minutes 1 hour and 30 minutes work out the total time for the journey give your answer in hours
Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.
What is a fraction?
The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.
Main Body:
total time = 20 minutes + 40 minutes + 1 hour 30 minutes
= 2.5 hours or 5/2 hours.
Hence total time for journey is 2.5 hours.
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Gabriel is designing a logo in the shape of a trapezoid. The marked sides are equal. The perimeter is 50 inches, the top is 9 1/2 inches, the bottom is 22 3/4 inches. How long is one of the sides with a tick mark?
For trapezoid, the marked sides are 8 7/8 inches long
In this question, we have been given Gabriel is designing a logo in the shape of a trapezoid. The marked sides are equal. The perimeter is 50 inches, the top is 9 1/2 inches, the bottom is 22 3/4 inches.
We need to find the sides with a tick marks.
Assuming non-parallel sides of trapezoid are marked.
Let a = top of trapezoid and b is the bottom of trapezoid
a = 9 1/2
b = 22 3/4
And c, d are non parallel sides of trapezoid
Using the formula for the perimeter of the trapezoid,
P = a + b + c + d
50 = 19/2 + 91/4 + 2c .......(c = d)
50 = 129/4 + 2c
2c = 50 - 129/4
2c = 71/4
c = 71/8
c = 8 7/8
Therefore, for trapezoid, the marked sides are 8 7/8 inches long
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Piecewise function of the graph
A piecewise function of the graph is a function y=f(x) which has different definitions in different intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions.
What is a piecewise function?
A function with many parts of curves in its graph is said to be piecewise. It implies that based on the value of the input, it has many definitions. In other words, a piecewise function responds differently to various inputs.
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A motorcyclist rides 976 miles, using 30.5 gallons of gasoline. What is the mileage, in miles per gallon?
Answer:
Step-by-step explanation:
32 mph
Last year, the track team's yard sale earned $500. This year, the yard sale earned $625. What is the percent of increase?
The percent of increases
The percent of increase in the team's yard sale is 25 %.
Percentage is known as a number or ratio which is expressed as a fraction of 100.
Percentage increase refers to the difference between the final and initial values of any quantity, expressed as a percentage of the initial value of that quantity.
Percentage increase = Final value - Initial value/ Initial value *100
According to question,
Initial value = $500
Final value = $625
Putting the values in the formula,
⇒ $625 - $500 / $500 * 100
⇒ $125/ $500 *100
⇒ 25
Hence, the percent of increase in the team's yard sale is 25 %.
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In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
Answer: 65
Step-by-step explanation:
First we need to know what the 13 is 20% of. 13 is 20% of 65.
To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.
Hope that helped :)
Given g(x)=-2x+5, find g(-4)
Answer:
13
Step-by-step explanation:
Given g(x)=-2x+5, find g(-4)
so you are substituting in -4 for x:
g(-4) = -2(-4) + 5
g(-4) = 8 + 5
g(-4) = 13
the line 2y = 6x +c passes through the point (2, 3). find c
Answer:
-6
Step-by-step explanation:
2y=6x + c
(2 X 3) = (6 X 2) + C
C= - 12 + 6
= - 6
The numbers in bold are the point axes.
the length in inches of a cricket chosen at random from a field is a random variable x with mean 1.2 inches and standard deviation 0.25 inches. find the mean and standard deviation of the length y of a randomly chosen cricket from the field in centimeters. there are 2.54 centimeters in an inch.
The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Given that, the length in inches of a cricket chosen at random from a field is a random variable x with mean 1.2 inches and standard deviation 0.25 inches.
μx = 1.2
σx = 0.25
2.54 cm = 1 in (given)
Y = 2.54x
Formula for mean and standard deviation =
μax+b = aμx + b
σax+b = aσx
Then Y = 2.54x we get,
μy = μ2.54x = 2.54μx = 2.54(1.2) = 3.048
σy = σ2.54x = 2.54σx = 2.54(0.25) = 0.635
Hence, The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.
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8
4 8 12
A
+
20 24
B C
36 40
What number does C stand for? Same question different answer
Answer:
32
Step-by-step explanation:
you are counting by 4 and if you count high enough it will give you that answer
can anybody tell me how to solve the value of 6a+9a?
Answer:
15a
Step-by-step explanation:
6a+9a
We just add the coefficients together since they share the same variable
6+9=15
15a
Hopes this helps please mark brainliest
what is (h - 3)² for h = 5
Answer:32
Step-by-step explanation:
You plug in 5 for H and then you solve
Answer:
the answer to yo question is 4
Step-by-step explanation:
Write 23/6 as a mixed number.
Answer:
[tex]3\frac{5}{6}[/tex]
Step-by-step explanation:
6 can go into 23, 3 times with 5 left over
we write it like this
[tex]3\frac{5}{6}[/tex]
Hopes this helps please mark brainliest
Answer: Its 3 5/6
Step-by-step explanation: 6 goes into 23 3 times. and 5 leftover so
What is the solution to the system of equations 2x y 7 y 2x 3?.
There is no solution for two equations 2x – y = 7 and y = 2x + 3 .
What is an equation?
A statement that the values of two mathematical expressions are equal (indicated by the sign =).
Name different methods to solve the system of equations .
(1)The Graphing Method .
(2)The Substitution Method .
(3)The Linear Combination Method
(4)The Addition Method
(5)The Elimination Method.
(6)The Matrix Method .
The solution of two equations
2x – y = 7 and
y = 2x + 3
On solving the two equations by Subsitution Method ,we get
2x-(2x+3) =7
⇒2x-2x-3=7
⇒0 -3 =7
⇒-3 =7
But since the numbers are not equal ,so we conclude that
-3≠7
Hence ,as x gets canceled and y value is subsituted ,so as a result we get two numbers which are also not equal .
Hence,there is no solution for x and y .
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Corrected Question
What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?
There is no solution for two equations 2x – y = 7 and y = 2x + 3 .
What is an equation?A statement that the values of two mathematical expressions are equal (indicated by the sign =).
Name different methods to solve the system of equations .
(1)The Graphing Method .
(2)The Substitution Method .
(3)The Linear Combination Method
(4)The Addition Method
(5)The Elimination Method.
(6)The Matrix Method .
The solution of two equations
2x – y = 7 and
y = 2x + 3
On solving the two equations by Substitution Method ,we get
2x-(2x+3) =7
⇒2x-2x-3=7
⇒0 -3 =7
⇒-3 =7
But since the numbers are not equal ,so we conclude that
-3≠7
Hence ,as x gets canceled and y value is substituted ,so as a result we get two numbers which are also not equal .
Hence, there is no solution for x and y .
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NOTE: The given question is incomplete on the portal. Here is the complete question.
QUESTION: What is the solution to the system of equations 2x – y = 7 and y = 2x + 3 ?
