Answer:
33
Step-by-step explanation:
do it in reverse
there are 3 numbers
average is 20
that means total is 20 times 3 which is
60
7+20+x=60
27+x=60
x=60-27=
33
Answer:
x = 33
Step-by-step explanation:
we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present
for example,
the average of 2 and 20
2 + 20 = 22
(there are two numbers, so we divide by 2)
22 / 2 = 11
so, this example has an average of 11
we can apply the same logic to a variable:
we know that
[tex]\frac{20+7+x}{3}[/tex] = 20
We can now solve for x:
[tex]\frac{20+7+x}{3}[/tex] = 20
· 3 ·3 {multiply both sides by 3}
20 + 7 + x = 60 {combine like terms}
27 + x = 60 {subtract 27 from both sides to isolate x}
x = 33
{check answer:
7 + 20 + 33 = 60
60 / 3 = 20 (divided by 3 because we have 3 numbers) }
so, the value of x is 33
(x = 33)
hope this helps!!
What is the equation of the parabola shown with its directrix on this graph?
? Question The point (x, y) is first rotated 180° clockwise about the origin, translated 6 units to the left, and then reflected across the line y = x. Write a function S to represent the sequence of transformations applied to the point (x, y).
The function S to represent the sequence of transformations applied to the point (x, y) is (-y, -x - 6)
Transformation of coordinatesTransformation is a technique used to change the position of an object on an xy-plane.
Given the coordinate (x, y)
Rotation of the coordinate by 180° clockwise about the origin will given;
(x, y) - > (-x, -y)
If the result is translated 6 units to the left, then;
(-x, -y) -> (-x-6, -y)
If it is then reflected across the line y = x, we will switch the coordinates to have:
(-x-6, -y) -> (-y, -x - 6)
The function S to represent the sequence of transformations applied to the point (x, y) is (-y, -x - 6)
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A sequence of numbers begins with 12 and progresses
geometrically. Each number is the previous number
divided by 2.
Which value can be used as the common ratio in an
explicit formula that represents the sequence?
N/H
02
06
O 12
Answer:
1/2
Step-by-step explanation:
since every time you divide by 2, the common ratio is 1/2
Three friends go to a store to rent games and movies. Calvin rents 3 movies and 2 video games and spends a total of $25. Samantha rents 2 movies and 1 video game and spends a total of $14.75.
If the rental fee for each game is the same and the rental fee for each movie is the same, determine how much their friend, Keith, will spend at the rental store to rent 1 movie and 2 video games. Explain your answer.
The Keith will spend $16 to rent 1 movie and 2 video games from the store.
How to solve the equation of two variable?Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".
From the given information, we can form the following system of equations:
3m + 2g = 25 (Calvin's rental)
2m + g = 14.75 (Samantha's rental)
We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.
From the second equation, we can solve for "g" in terms of "m":
g = 14.75 - 2m
Substituting this into the first equation, we get:
3m + 2(14.75 - 2m) = 25
Simplifying this, we get:
3m + 29.5 - 4m = 25
-m + 29.5 = 25
-m = -4.5
m = 4.5
Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:
2(4.5) + g = 14.75
g = 14.75 - 9 = 5.75
So the rental fee for each game is $5.75.
To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:
1(4.5) + 2(5.75) = 16
Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.
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What is the period of the function y=tan (4/pi (x-pi/3))
O 3 units
O4 units
O 6 units
O 8 units
Answer:
Period = 4 units
Step-by-step explanation:
Standard form of a tangent function:
[tex]f(x)=\sf A \tan(B(x+C))+D[/tex]
A = vertical stretchπ / |B| = period (distance between any two consecutive vertical asymptotes)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftThe tangent function has a vertical asymptote whenever cos(x) = 0
The tangent function does not have an amplitude because it has no maximum or minimum value.
Given function:
[tex]y=\tan \left(\dfrac{\pi}{4}\left(x-\dfrac{\pi}{3}\right)\right)[/tex]
Therefore:
Vertical stretch (A) = none[tex]\textsf{Period}=\dfrac{\pi}{\left|\dfrac{\pi}{4}\right|}=4[/tex]Phase shift (C) = π/3 to the rightVertical shift = noneAnswer: 4 units
Step-by-step explanation:
Express ratio 3.5:14 as 1:n
Answer:
1 : 4
Step-by-step explanation:
3.5 : 14 ( divide both parts by 3.5 )
= 1 : 4
Please help!!!!!!!!!!!!!!!!!1
Answer:
f(x)=(x+4)(x+2)
Step-by-step explanation:
Factor x^2−6x+8 using the AC method.
please answer this, i am not sure what the answer is
The loss on the sale of equipment of $25 will appear in cash flow for operating activities section.
What is a cash flow statement?The cash flow statement is a financial statement that gives aggregate data regarding the cash inflows that a company receives.
The loss on sales of equipment will be:
Cost of equipment = $500
Less accumulated depreciation = $375
Less sale of equipment = $25
Here, the loss on the sale of equipment of $25 will appear in cash flow for operating activities section.
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Could I get some help on this pls, and most importantly how you could solve it.
Thank you.
Using your choice of technology, find the line of best fit using the data below for the women’s 100-meter Olympic records. Interpret the y-intercept, and explain the significance of the slope.
The equation of the line of best fit is y = -0.03x + 69.94
How to determine the line of best fit?The column headers are given as:
Year Time(s)
To enter the data values in a graphing calculator, we use the following representations:
x ⇒ Year
y ⇒ Time (s)
Using the above representations, we have the following calculation summary from a graphing calculator:
Sum of X = 72209Sum of Y = 432.95Mean X = 1951.5946Mean Y = 11.7014Sum of squares (SSX) = 17242.9189Sum of products (SP) = -514.5997The equation of the line of best fit is:
y = bx + a
Where
b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03
a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94
So, we have:
y = -0.03x + 69.94
A linear equation is represented as:
y = Slope * x + y intercept
So, we have:
Slope = -0.03
y intercept = 69.94
The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year
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Mr wong predicted that he would sell 45 automobiles , he actually sold 48
Answer:
well done mr wong lol
Step-by-step explanation:
what's the question is it the percent he beat his prediction?
if it is then its 48 divided by 45 times 100
this equals 106.67%
then take this away from his prediction percent originally which is 100%
106.67-100= 6.67%
Work out m and c for the line:
y = 2 − 3 x
Answer:
m = -3
c = 2
Step-by-step explanation:
This equation is given in slope-intercept form. The general structure of these equations is:
y = mx + c
In this form, "m" represents the slope and "c" represents the y-intercept. As you have been given the entire equation, the only thing you have to do is rearrange the equation to find which values correspond with the variables.
y = 2 - 3x -----> y = -3x + 2
Therefore,
m = -3
c = 2
pls help!! determine the period! thx
Answer:
T=5
Step-by-step explanation:
what does [ ] mean in math?
it is a bracket used in maths
Answer:
They are kind of like outer brackets, so if you have some expression like this:
5 + (4 × 6 + (7 - 8)),
it's better to write it like this:
5 + [4 × 6 + (7 - 8)],
so you can read it more easily.
Oil tank contains 220.2 gallons of oil. Whenever that amount of oil drops below 90 gallons an alarm sound if 145.3 gallons are pumped into a delivery truck how many gallons must be pumped in back into the tank in order to shut off the alarm
Answer:
15.1 gallons are needed to shut off the alarm.
Find the reflection of point (50, 25) across the x-axis.
The reflection of any point across the x-axis:
⇒ means that x-coordinate remains the same
⇒ but the y-coordinate is multiplied by '-1'
In this case:
⇒ (50,25) becomes (50,-25)
Answer: (50,-25)
Hope that helps!
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Answer:
(50, -25)
Step-by-step explanation:
When we reflect a point across the x-axis, only the sign of the y-value the changes. In this case, the y-value is 25, so after the reflection it becomes -25. The x-value stays the same. So your resulting point is (50, -25)
Identify the Property of Equality that is used in each statement.
If x=2, then 2x = 4.
5= 3a; therefore, 3a = 5.
If T=4, then 5T + 7 equals 27.
If 9 = 4x and 4x = m, then 9 = m.
Step-by-step explanation:
x = 2. 2(x) = 2(2). 2x= 4. Multiplication Property of Equality (if you have two equals sides and then multiply them by the same quantity both sides will remain equal)
5=3a therefore 3a = 5. Symmetric Property if a=b then b=a
T = 4 => 5T = 20 (Multiplication Property of Equality) => 5T + 7 = 27 (Addition Property of Equality. basically if two sides are equal and you add the same quantity they will remain equal)
Last one is transitive property which states. if a=b and b=c then a=c so in this case a would be 9, b would be 4x and c would be m
Keri did jumping jacks for ⅗ of a minute and sit-ups for ½ a minute. How many more seconds did Keri do jumping jacks than sit-ups?
PLS HELP AND HURRY
Answer:
so we need to subtract the situps from the jumping jack so
3/5-1/2
first we need to simplify to the same bottom number
6/10=3/5
5/10=1/2
6/10-5/10=1/10
so 1/10 of 60 is
1/10*60=6
Hope This Helps!!!
please be quick im being timed
Answer:
this one
Step-by-step explanation:
Given the following formula, solve for a.
Answer:
A. a = 2s - b -c
Step-by-step explanation:
Rearrange the equation in a way that you have only a on one side. When solving equations you can add, subtract, multiply or divide by the same number/variable/expression on the both sides.
[tex]s = \frac{a + b + c}{2}[/tex]
Multiply by 2 to get rid of the fraction.
[tex]s \cdot 2 = \frac{a + b + c}{2} \cdot 2[/tex]
On the right side the 2 cancels out:
[tex]s \cdot 2 = a + b + c[/tex]
On the right side next to a are still b and c. But we want a alone. Subtract b.
[tex]s \cdot 2 - b = a + b + c - b[/tex]
b - b on right side gives 0.
[tex]s \cdot 2 - b = a + c + 0[/tex]
The step above is usually skipped, because number + 0 = number.
[tex]s \cdot 2 - b = a + c[/tex]
Next to a there is still c. Subtract c.
[tex]s \cdot 2 - b - c = a + c - c[/tex]
c - c on the left is 0.
[tex]s \cdot 2 - b - c = a[/tex]
So our answer is:
[tex]s \cdot 2 - b - c = a[/tex]
It can be rewritten to (change sides):
[tex]a = s \cdot 2 - b - c[/tex]
And s · 2 can be rewritten to 2s:
[tex]a = 2s - b - c[/tex]
FIND THE EQUATION FOR THE LINE SHOWN
Answer:
y = 2x - 1
Step-by-step explanation:
gradient is defined as rise over run.
we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)
for the run, 1 - 0 = 1
for the rise, 1 - -1 = 2
2 / 1 = 2
it crosses the y-axis at -1
therefore in the form y = mx + b, the equation is y = 2x - 1
Which is the graph of the system of inequalities y 2x-and y ≤ 2x + 6
4x
2
ANVA
-6-4-22 26
-6-4-
-6-4
2
246
O
246
2
O
x
246
Answer: Option 1
Step-by-step explanation:
The second and third options do not contain the line y = 2x+6, so they can be eliminated.
Between the first and fourth options, only the first option shows the line y=2x+6 being shaded below, so it is the answer.
The graph of the inequality is graph A
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y ≥ ( 1/5 ) ( 4x - 1 ) be equation (1)
y ≤ 2x + 6 be equation (2)
Now , To graph the system of inequalities, we can start by graphing the boundary lines for each inequality and then determine which region of the coordinate plane satisfies both inequalities.
For the first inequality, y >= (1/5)(4x-1), we can start by graphing the line y = (1/5)(4x-1), which has a y-intercept of -1/5 and a slope of 4/5. We can draw this line as a solid line, since the inequality includes the "or equal to" condition:
And , for the second inequality, y <= 2x+6, we can graph the line y = 2x+6, which has a y-intercept of 6 and a slope of 2. We can also draw this line as a solid line, since the inequality includes the "or equal to" condition:
Hence , the inequality is solved and the solution to the system of inequalities is the shaded region above the line y = (1/5)(4x-1) and below the line y = 2x+6, including the boundary lines.
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if the exterior angles of a pentagon are x° 2x° (x+30)°,(x-10)° and (x+40)° find x
a) 30
b) 50
c) 60
d) 80
Answer:
[tex]\fbox {b) 50}[/tex]
Step-by-step explanation:
The sum of the exterior angles of any polygon (including a pentagon) is equal to 360 degrees.
Then :
⇒ x + 2x + x + 30 + x - 10 + x + 40 = 360
⇒ 6x + 60 = 360
⇒ 6x = 300
⇒ x = 50
Answer:
[tex]\huge\boxed{\sf x = 50}[/tex]
Step-by-step explanation:
Statement:The exterior angles of a pentagon add up 360 degrees.Given angles:x°2x°(x+30)°(x-10)°(x+40)°Solution:x + 2x + x + 30 + x - 10 + x + 40 = 360
6x + 60 = 360
Subtract 60 to both sides
6x = 360 - 60
6x = 300
Divide 6 to both sides
x = 300/6
x = 50
[tex]\rule[225]{225}{2}[/tex]
after this i will only have 4 questions please and ty!
Answer:D
Step-by-step explanation:
this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied
A person paid by the hour works 22 hours a week and makes $359. How much would they make if they work
37 hours?
Round your answer to 2 decimal places.
Answer:
$ 603.77
Step-by-step explanation:
Find unit rate of dollars per hour : 359/22
now multiply by hours : 359/22 * 37 = 603.77
Answer:
$603.77
Step-by-step explanation:
if they work 22 hours a week
and once a week they make $359
therefore divide to get the hourly rate
359/22 = 16.3181818182
they make 16.3181818182 per hour
then we have to multiply the hourly by the hours worked
16.3181818182 * 37 = 603.772727273
since this is in dollars ($) we round to the second decimal place (hundredths)
meaning we cut off the numbers after it
603.77║2727273
then, determine if the thousandths place is equal to or greater than five or less than five
since it is a 2 then the 7 stays the same
if it were a 5 or greater we would round up, making the 7 in the hundredth place turn into an 8.
therefore your answer is $603.77
hope this helps:)
What is the measure (in radians) of central angle & in the circle below?
O
O
O
옥
26
ㅇ 역
12 cmy
0
14 cm
Answer:
7pi/6
Step-by-step explanation:
Using the formula for arc length in radians, we get:
14pi = 12(theta)theta = 7pi/6 [divide both sides by 12]If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?
y=5+3x for x
Show work
Answer:
[tex]x = \frac{y - 5}{3}[/tex]
Step-by-step explanation:
Hello!
To solve for x, we have to first isolate the variable.
Solve for x[tex]y = 5 + 3x[/tex][tex]y - 5 = 3x[/tex][tex]y - 5 = 3(x)[/tex][tex]\frac{y - 5}{3} = x[/tex]The value of x is [tex]\frac{y - 5}{3}[/tex].
Can yall help me Find m/1.
Answer:
mAngle1 = 33°
Step-by-step explanation:
The three angles in a triangle add up to 180°.
31° + 116° + x = 180°
147° + x = 180°
Subtract 147° from both sides.
x = 33°
The measure of Angle1 is 33°
f(x)=x²-3x-2 is shifted 4 units left. The result is g(x). What is g(x)?
A. g(x)=(x-4)² - 3(x-4)-2
B. g(x)=x²-3x+2
C. g(x) = (x+4)² - 3(x+4) - 2
D.g(x) = (x+4)² - 3x-2
Answer:
c
Step-by-step explanation:
left is in brackets and opposite sign so left is plus right is minus
is 9x=63,x=7 true or false
Answer:
True
9 * 7 = 63
Therefore when x=7 9x=63
The equation given is true since 7 is the solution.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign.
The two sides of an equation is usually called as left hand side and right hand side.
The given equation is 9x = 63.
There is only one variable here, x.
We have to solve this equation and find whether the solution is 7 or not.
Solution of the equation is the value of x.
9x = 63
Divide both sides of the equation by 9, then, we get,
9x / 9 = 63 / 9
9 gets cancelled in the left hand side and 63/9 = 7.
So we get,
x = 7
So the given statement is true that for 9x = 63, the solution is x = 7.
Hence the given equation is true.
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