Answer:
x= -2
Step-by-step explanation:
Let's solve your equation step-by-step.
15−10x=5(x+9)
Step 1: Simplify both sides of the equation.
15−10x=5(x+9)
15+−10x=(5)(x)+(5)(9)(Distribute)
15+−10x=5x+45
−10x+15=5x+45
Step 2: Subtract 5x from both sides.
−10x+15−5x=5x+45−5x
−15x+15=45
Step 3: Subtract 15 from both sides.
−15x+15−15=45−15
−15x=30
Step 4: Divide both sides by -15.
−15x/-15 = 30/ -15
x= −2
What is 72.081
Subtract 45.126
Answer:
I believe it is 26.955
Step-by-step explanation:
Answer:
The answer is 26.955
Step-by-step explanation:
The answer is 26.955 because 72.081 minus 45.126 is 26.955
Greatest common factor for 30w, 42w^2, 6w^5
Answer:
6 w
Explanation:
Question: "What is the GCF of 30, 42, and 12?
You may ask, "How did you get the answer?"
1) Let's list out the factors of 30, 42, and 12.
30 - 1, 2, 3, 5, 6, 10, 15, 30
42 - 1, 2, 3, 6, 7, 14, 21, 42
12 - 1, 2, 3, 4, 6, 12
What are the common numbers from the list?
1, 2, 3, 6
What is the greatest number from the list of the common numbers?
6
Now let's separate the variables and find the common factor of the variables.
Variables:
w 2 , w 4 , w * w
can also be thought of as w 1 .
Since
w
is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is
w .
Answer:
6
Step-by-step explanation: You may ask, "How did you get the answer?"
1) Let's list out the factors of 30, 42, and 12.
30 - 1, 2, 3, 5, 6, 10, 15, 30
42 - 1, 2, 3, 6, 7, 14, 21, 42
12 - 1, 2, 3, 4, 6, 12
What are the common numbers from the list?
1, 2, 3, 6
What is the greatest number from the list of the common numbers?
6
Now let's separate the variables and find the common factor of the variables.
Variables: w2 , w4, w*w can also be thought of as w1.
Since w is the lowest powered variable and all of the other ones are greater than that. Then it means that the common factor of the variables is
w.
Let's combine what we've found out now!
The GCF of the integers is 6 and the common factor of the variables is
w
. Therefore, the GCF is 6w!
Mr. Lopez travels a distance of 100 miles to work each day, Which of the following graphs best represents the
relationship between the time Mr. Lopez takes to get to
work and the speed at which he drives?
Answer:
Step-by-step explanation:
they left at 12:34
Length = 9.8 cm
Width = 5.5 cm
Height = 4.3 cm
Volume?
Answer:
231.77
we have length as9.8cm
breadth as 5.5cm
height as 4.3cm
solution
we know that
volume =l*b*h
=9.8*5.5*4.3
=231.77
Jervane is planning on buying some coffee and several donuts for a road trip.She wants to spend no more than 20$ in total. Coffee cost 3$ and donuts are 2$ each write and solve an inequality to determine the maximum number of donuts that jervane can buy.
The inequality used to determine the maximum number of donuts that jervane can buy is 3 + 2x ≤ 20
InequalityTotal to spend = $20Cost of coffee = $3Cost of donuts = $2Number of donuts = x3 + 2x ≤ 20
2x ≤ 20 - 3
2x ≤ 17
x ≤ 17/2
x ≤ 8.5
Therefore, the inequality used to determine the maximum number of donuts that jervane can buy is 3 + 2x ≤ 20
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in triangle MPQ points N and R are located on sides MP and QP with NR drawn. which set of measurements below would justify that triangle MPQ is similar to triangle NPR
number 9
(6x+1/2)+(2x-8 1/2)Simplify the expression.
Answer:
simplified = 8x - 8
Step-by-step explanation:
trust me :)
How do you find the horizontal asymptote of a rational function?"
A. Set the denominator equal to zero
B. Set the numerator equal to zero
C.plug in zero for x
D. Use one of the 3 rules
Answer:
c
Step-by-step explanation:
HELP ASAP!!! PlEASE
State the smallest possible value of x if x is an integer for the following inequality.
-22
-24
-23
Es el valor de la incógnita en la siguiente igualdad: x/Sen30°= 8/Sen45°
Respuesta:
x = 5.656854249
Explicación paso a paso:
[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]
x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]
x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]
x = 5.656854249
A
P. Alex works as one of three unpaid interns at an office for
college credit. She does the work that the company would
otherwise pay an employee $12 per hour to do. If the
office is open for 8 hours in a day, and if Alex works for
the full day on each of the 20 workdays in a month, how
much money does the company save per month by having
Alex work instead of a paid employee?
After calculations, we find that the company saves a total of $12 x 160 = $1,920 per month by having Alex work instead of a paid employee.
In this scenario, the company has three unpaid interns, including P. Alex, who are working in exchange for college credit. This means that the company does not have to pay these interns any salary or wages.
If the company were to hire a paid employee instead of having an intern like Alex work, they would have to pay that employee $12 per hour for the work that needs to be done. This is the amount that the company would have to spend in wages for each hour worked by the employee.
Now, we know that Alex works for the full 8 hours per day, and for 20 workdays in a month. This means that she works a total of 8 x 20 = 160 hours in a month.
Therefore, the total amount of money the company would have to pay a paid employee for the same amount of work that Alex does would be $12 per hour x 160 hours = $1,920.
Since Alex is working for the company without any payment, the company saves the entire amount of $1,920 per month that they would have had to pay a paid employee to do the same work.
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I need find the IQR and list any outliers
According to the solution we have come to find that, The interquartile range (IQR):
(3) 18.33
(4) 38.5
(5) 58.5
What is interquartile range?Interquartile range (IQR) is a measure of variability or spread of a dataset. It is the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. It shows the range of the middle 50% of the data. IQR is often used as a measure of spread because it is less sensitive to outliers than the range.
First, we need to find the median of the dataset. Since there are an even number of values, we take the average of the two middle values:
Median = (30 + 36) / 2 = 33
Next, we find the median of the lower half of the dataset (values less than or equal to the median):
Q1 = 1 + 28 + 30 / 3 = 19.67
And the median of the upper half of the dataset (values greater than or equal to the median):
Q3 = 38 + 40 + 36 / 3 = 38
Finally, we calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 38 - 19.67 = 18.33
There are no outliers in this dataset.
First, we need to find the median of the dataset. Since there are an even number of values, we take the average of the two middle values:
Median = (50 + 52) / 2 = 51
Next, we find the median of the lower half of the dataset (values less than or equal to the median):
Q1 = 45 + 48 / 2 = 46.5
And the median of the upper half of the dataset (values greater than or equal to the median):
Q3 = 60 + 110 / 2 = 85
Finally, we calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 85 - 46.5 = 38.5
There are no outliers in this dataset.
First, we need to find the median of the dataset. Since there are an even number of values, we take the average of the two middle values:
Median = (60 + 60) / 2 = 60
Next, we find the median of the lower half of the dataset (values less than or equal to the median):
Q1 = 17 + 68 / 2 = 42.5
And the median of the upper half of the dataset (values greater than or equal to the median):
Q3 = 72 + 130 / 2 = 101
Finally, we calculate the interquartile range (IQR):
IQR = Q3 - Q1 = 101 - 42.5 = 58.5
There is one outlier in this dataset, the value 130.
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A TV that usually sells for $183.52 is on sale for 30% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answer:
$140.024
Step-by-step explanation:
We know
A TV that usually sells for $183.52 is on sale for 30% off.
183.52 x 0.7 = $128.464
So, $128.464 is the price of the TV on sale for 30% off, not including tax yet.
If the sales tax on the TV is 9%, what is the price of the TV, including tax?
9% = 0.09
128.464 x 0.09 = $11.56
Then we take
128.464 + 11.56 = $140.024
So, the price of the TV is $140.024
Danny charges $75 for 5 hours of swimming lessons, Martin charges $72 for 4 hours of swimming lessons. Who offers a better deal?
Answer:
better deal: Danny
Step-by-step explanation:
Danny charges 15$ for 1 hour
Martin charges 18$ for 1 hour
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
A triangle has vertices at B(-3,0), C(2, -1), D(-1, 2). Which transformation would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1)? (x,y) → (X, -y). (x,y) → (X + 1, y + 1) (x,y) → (-x, y). (x,y) → (X + 1, y + 1) (x,y) → (X. -Y). (x,y) → (X + 2, Y + 2) (x,y) → (-x, y). (x,y) → (X + 2, Y + 2)
The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).
By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).
The other transformations listed do not match the given image coordinates and would not produce the desired result.
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Answer:
(x, y) → (x, −y) → (x + 1, y + 1)
Step-by-step explanation:
Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):
B'(-3, 0) → B'(-3, 0)
C(2, -1) → C(2, 1)
D(-1, 2) → D(-1, -2)
Translate the reflected vertices by (1, 1):
B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)
C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)
D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)
So, the correct sequence of transformations is:
(x, y) → (x, -y) → (x + 1, y + 1)
(Image provided for more proof)
Por Jocelyn's lemonade recipe 4 lemons are required to make 12 cups of lemonade,
At what rate are lemons being used in oups of lemonade per lemon?
Answer:
3 per lemon
Step-by-step explanation:
If you take 12 and divide it by 4 you will get 3 which would be for 1 lemon.
would appreciate some help! :)
AABC ~ AQRS
Find the missing side length, m.
R
B
15
m
А-
С
4.
s
10
m = [?]
=
===========================================
Work Shown:
AC/QS = BC/RS
4/10 = m/15
4*15 = 10*m
60 = 10m
10m = 60
m = 60/10
m = 6
The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.
After the equation is set up, we cross multiply and then solve for m.
Write this percentage as a fraction in its simplest form.
65%
Answer:
13/20
Step-by-step explanation:
Answer:
\(\frac{13}{20}\)
Step-by-step explanation:
Put the percentage over 100: \(\frac{65}{100}\)
Simplify: \(\frac{13}{20}\)
What is the coefficient of 5x² in 5x² 5x?
Answer:
Step-by-step explanation:
i think 1
Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?
DEAR GOD PLEASE HELP ME I HAVE ZERO IDEA WHAT THIS IS I NEED HELP ASAP PLEASE HELP ME
Graph the line that has a slope of 1/8 and includes the point (0,4).
Answer: i cant graph but polt 0,4 on the y axis the go up 1 to the right 8
Step-by-step explanation:
The equation of the line is y = (1/8)x + 4. And the graph of the equation is drawn below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 1/8. Then the equation of a line is written as,
y = (1/8)x + c
The line is passing through (0, 4), then we have
4 = (1/8) (0) + c
c = 4
The equation of the line is y = (1/8)x + 4. And the graph of the equation is drawn below.
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Math one question WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
Dilation reduces or enlarges the size
Translation moves the shape within the quadrant
Rotation about the origin changes the orientation and the location to another quadrant.
Simplify: 2uv + 3uv + u - u
Answer:
2uv + 3uv + u - u
5uv + 0
5uv
Answer:
5uv
(2uv + 3uv) + (u - u)
And you would get the answer 5uv
whats the answer to this -2-3-(-4)
Answer of given problem -2-3-(-4) is integer -1
What are Integers?The Latin term "Integer," which implies entire or whole, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Integer examples include: – 1, -12, 6, 15.
Symbol
The letter "Z" stands in for an integer.
Z= {……-8,-7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,……}
Several Integer Types
Three categories of integers exist:
Zero (0) Good integers (Natural numbers)Integer Negatives (Additive inverse of Natural Numbers)Given problems is:-2-3-(-4)
Using BODMAS, solving the bracket value, we get
=-2-3+4
Now, subtracting 4 from -3, we get
=-2+1
Now subtracting 1 from -2
=-1
Hence, Answer of given problem -2-3-(-4) is integer -1.
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Can you help me explain
Answer:
x = 2
Step-by-step explanation:
5x - 4 = 6
First, you add 4 to 6 and you get:
5x = 10
Then you divide 5 to each side and you get:
x = 2
Hope this helps! :)
Which of the following systems has (1,−1) as a solution? 1. 3x−2y=1 5x+3y=8 2. 3x+2y=1 5x+3y=−8 3. 3x+2y=1 5x−3y=8 4. 2x+3y=1 5x−3y=−8
2. 3x+2y= 1 and 5x+3y=-8
solution: In picture.
- = Q4) Given the implicit function x2 + 4y2 - 2x + 4y - 2 = 0 [Note that horizontal tangent lines have a slope = 0 and vertical tangent lines have undefined slope.] a. At what point(s) does x2 + 4y2
The point(s) at which horizontal tangent(s) occur(s) are: (2, (-2 + √6) / 2) and (2, (-2 - √6) / 2).
2x - 4 = -4y² - 4y + 2 ------(1)
Differentiating equation (1) w.r.t x, we get:
2dx - 4 = [-8y - 4]dy/dx ------(2)
For horizontal tangent, dy/dx = 0.
Putting dy/dx = 0 in equation (2), we get:
2dx - 4 = -4(0) ------(3)
From equation (3), we get: 2x = 4 ⇒ x = 2.
Now, putting x = 2 in equation (1), we get:
4 = -4y² - 4y + 2 ⇒ 4y² + 4y - 2 = 0 ⇒ 2y² + 2y - 1 = 0.
Now, solving the above quadratic equation by quadratic formula, we get:y = (-2 ± √6) / 2.
Substituting this value in x = 2, we get two points:(2, (-2 + √6) / 2) and (2, (-2 - √6) / 2).
Therefore, the point(s) at which horizontal tangent(s) occur(s) are: (2, (-2 + √6) / 2) and (2, (-2 - √6) / 2).
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