The question is incomplete:
Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is 5.5% of the selling price. How much commission will the salesperson earn by selling a couch for $495?
Answer:
The salesperson will earn $27.22 as comission by selling a couch for $495.
Step-by-step explanation:
From the information given, you know that Lin's comission is 5.5% of the selling price, so in order to find the amount of the commision the salesperson will earn you have to calculate 5.5% of the selling price:
495*5.5%=27.22
According to this, the answer is that the salesperson will earn $27.22 as comission by selling a couch for $495.
Boris rides around a 800 metre track recording his speed each time. In
the three laps he recorded 49 secs, 53 secs and 48 secs. What was his
average time per lap?
Answer:
The easiest way to work out average times is to convert them all to seconds. 60 secs makes 1 min etc. Add all the seconds. Then divide the sum by the number of entries, hope this works.
Step-by-step explanation:
Hannah wants to buy a $510 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $85 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?
Group of answer choices
A. 17
B. 15
C. 19
D. 21
Answer:
Letter C.19
SORRY IF THIS IS WRONG..
what is 0.375 as a fraction
Answer:
3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8
Ren was trying to solve a system of linear equations. He correctly argued that he could replace one equation by the sum of that equation and multiple of the other. He stated that this would produce a system that has the same solution as the original system.
To show this, Ren wrote down a system of equations. He them determined wich othe system of equations would have the same solution as the original system. Ren's original system is shown below.
Answer:
This what I got.
Hope it helps!
The solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
The given equations are;
-2x-5y = -47........(i)
4x-2y = -2
We can simply it, and write;
2x-y = -1
y = 2x+1.....(ii)
Put equation (ii) in (i)
-2x-5(2x+1) = -47
-2x-10x-5 = -47
-12x = -42
x = 7/2
Put value of x in eq (ii)
y = 2(7/2)+1
y = 8
Therefore, the solution of main equation is (7/2, 8)
Solving the other three equations,
1) -14x+y = -41
or, y = -41+14x......(i)
2) 4x-2y = -2
or, 2x-y = -1
y = 2x+1....(ii)
Solving the equations,
2x+1 = -41+14x
12x = 42
x = 7/2
Put x = 7/2, in (ii)
y = 8
Therefore, the solution is (7/2, 8)
We get the solution of main equation is equal to this system of equation.
2) -2x-5y = -47......(i)
6x+3y = 45
or, 2x+y = 15.......(ii)
Solving the equation by elimination,
-4y = -32
y = 8
Put y = 8 in equation (ii)
2x+8 = 15
x = 7/2
Therefore, the solution is (7/2, 8)
Again, we get the solution of main equation is equal to this system of equation.
3) -2x-5y = -47.........(i)
8x-5y = -8.......(ii)
Solving the equations by elimination,
-10x = -39
x = 39/10
Since, value of x is not same as the value of x in main equation, that means, both the system of the equation do not have same solution.
Hence, we get that, the solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.
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Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
-81= −45−9n i need help please
-45 - 9n = -81
-9n = -81 + 45
-9n = -36
n = -36/-9
n = 4
Hope this helps you. :)
Answer:
4=n
Step-by-step explanation:
-81= -45-9n
+45 +45
-36= -9n
÷ -9 ÷-9
4= n
substitute:
-81= -45 -9 (4)
-81= -45 -36
-81= -81
Question 21 (5 points)
Saved
The equation 3(4x) = (4x)3 illustrates which property?
O multiplicative inverse
distributive
O commutative
O associative
Answer:
a
Step-by-step explanation:
Which expression represents the greatest common factor (GCF) of 110 and 132?
A. 2 x 11
B. 2 x 5 x 7
C. 2 x 3 x 7
D. 5 x 7
Answer:
(B) 2x5x7
Step-by-step explanation:
Answer:
B
hope this helps! :)
HELP PLS! IS THIS RIGHT? ONLY ANSWER IF YOU KNOW! THANKS!
Answer:
YES its 8
Step-by-step explanation:
At the end of its first year of operations, Berganstein Sportswear had current
assets of $13,000, fixed assets of $25,000, current liabilities of $7,000, and long-term liabilities of $14,000. What is the amount of owner's equity?
Whoever answer this, thank you!
Answer:
Step-by-step explanation:
it will be 59,000 because i add it all up
Servers at a snack shop use the table below to find the total cost for frozen yogurt, but some of the numbers have worn off. The total cost is proportional to the number of cups of frozen yogurt. Find the missing numbers in the table.
Answer:
1.50 for one cup of frozen yogurt.
Step-by-step explanation:
Juanita is buying a cover for her motorcycle which has a length of 7.5 feet if the covers are only sold in whole foot increments what size covers should Juanita buy
Answer:
Size of the cover should Juanita buy is 8 feet.
Step-by-step explanation:
Given: The length of the motorcycle is 7.5 feet.
To find: The size of the cover of motorcycle.
The length of the motorcycle is 7.5 feet. But the covers are only sold in whole foot increments.
So, Juanita should buy 8 feet long cover for motorcycle.
Please help this is due in ten minutes!!!!!!!!!!!!
Use the figure to find the measures of <1 and <2.
plz plz somebody help me i will mark you has brainlest pls its due at 8:00 its like 7:43
Answer: She is incorrect because 0 + 0 = 0
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer: Option B.
Step-by-step explanation:
By an online search, i found that the options are:
A: (123873, 24765, 25000, 5678)
B: (16287, 16728, 16827, 16872)
C: (98782, 98728, 98287, 98278)
D: (78082, 78802, 78208, 78028)
The numbers will be arranged in increasing order if the difference between all the pairs of consecutive numbers in the set is positive (where the order of the numbers if from left to right):
For example, for the set A the differences are;
1) 24765 - 123873 = -99108
The difference is negative, then the second number is smaller than the first one, then the numbers are not arranged in increasing order.
Now let's see with set B:
1) 16728 - 16287 = 441
2) 16827 - 16728 = 99
3) 16872 - 16827 = 45
All the differences are positive, then the numbers on this set are arranged in increasing order.
We could easily see that in sets C and D the numbers are not arranged in increasing order, in set C the second number is smaller than the first one.
and in set D the third number is smaller than the second number.
Answer: sorry if it is not what you wanted I wasn't sure on what to submit
Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2
The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
g(x) = log₂x
Transformation:
g(x) → g(x) + 2
G(x) =log₂x + 2
The function will shift upside by 2 units.
G(x) → G(x-2)
f(x) =log₂(x-2) + 2
The function will shift right side by 2 units.
Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
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Answer:The equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
g(x) = log₂x
Transformation:
g(x) → g(x) + 2
G(x) =log₂x + 2
The function will shift upside by 2 units.
G(x) → G(x-2)
f(x) =log₂(x-2) + 2
The function will shift right side by 2 units.
Thus, the equation of the function f(x) is: f(x) = log2(x − 2) + 2 option (B) f(x) = log2(x − 2) + 2 is correct.
Learn more about the function here:
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Step-by-step explanation:
Find the measures of the interior angles.
X = 26 degrees
Step-by-step explanation:
84+ 70=154
180-154= 26
What is the answer to this equation 7b=70
Answer:
It is 10.
Step-by-step explanation:
b=70 divided by 10 which is 7
The area of a parallelogram can be found using the formula A = WebEQ Image.
where A = Area of parallelogram
b = length of base
h = height of parallelogram
Image
Which shows this formula solved for h?
A.
WebEQ Image
B.
WebEQ Image
C.
Image
D.
Image
HINT THE ANSWER IN B
I just want people to have the answer
Answer:
the correct answer is B hope this helps
please show the work of how you got the answer please :)
Answer:
146
Step-by-step explanation:
72+4(33+2)−19
=49+4(33+2)−19
=49+4(27+2)−19
=49+(4)(29)−19
=49+116−19
=165−19
=146
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
Write 7√5 using rational exponents.
Answer:
7*(5)^0,5
Step-by-step explanation:
The value of number 7√5 in form of rational exponents will be 1561/1000.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The number is,
⇒ 7√5
Now,
Since, The number is,
⇒ 7√5
Solve as;
⇒ 7√5 = 7 × 2.23
= 15.61
= 1561/100
Thus, The value in rational exponents = 1561/1000
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Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
UL
LIVE REMINI
50:13
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
y=
35-4y=-4
4x - 3y = -3
Oy-2 = (x-4)
Cy+2=(x+4)
Save and Exit
Next
Submit
Mark this and return
Answer:
4(y+2) = 3(x+4) and 4y - 3x = 4
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation 3x - 4y = 7
Rewrite in slope intercept form
-4y = -3x+7
y = 3/4 x - 7/4
Slope = 3/4
Slope of the required line will also be 3/4 since they are parallel lines
Substitute the slope and the point into the equation above;
y - y0 = m(x-x0)
y +2 = 3/4 (x+4)
4(y+2) = 3(x+4)
4y + 8 = 3x+12
4y - 3x = 12-8
4y - 3x = 4
Hence the required equations are 4(y+2) = 3(x+4) and 4y - 3x = 4
Need help ASAP!! I'll give brainliest to the correct answer!!
Answer:
∡SRT
Step-by-step explanation:
angle which creates the longest side is the largest angle
ITS TIMED PLEASE HELP!
Answer:
1/81
Step-by-step explanation:
Answer:
1/81
Step-by-step explanation:
9^-6/9^-4=9^-6-(-4)=9^-2=1/81
What is the quotient of d⁴-6d³+d+17÷d-2
Answer:
d^4-6d^3+d+17/d-2
A bit complicated, sorry about that.
can someone please help me figure out what X is? I've tried starting with different numbers and stuff, but I don't know what to do
Answer:
x = 8
Step-by-step explanation:
20:30 = 2:3 = 1:1.5
18×1.5 = 27
27 = 2x +11
16 = 2x
Find the value of the expression
m + m + 9
for m = 4, n = 3, and r= 1.
Answer:
17
Step-by-step explanation:
both m's substitute for 4
4+4+9
8+9
17