A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
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Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%
Answer:
Decreasing; 0.8%
IT DIVISION ITS NOT ADDING.
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
Use the distributive property to write an equivalent expression for 28+14y (find the greatest common factor)
PLEASE HELP MATH MIDTERM
Steven bought a cylindrical water tank for his cattle, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for the tank to safely sit on. The seller told him the Volume and the height. Help Steven by calculating the diameter of the tank using the information below.
The volume of the tank is 572π 3 and its height is 9ft
Answer:
Step-by-step explanation:
h and r are the height and radius of the tank, respectively.
volume = πr²h
πr²·9 = 572π
r = √(572π/(9π)) = √(572/9)
diameter = 2r ≅ 15.9 ft
If a triangle has sides of 8, 8, and 6, then it is classified as an _____ triangle.
Answer:
right
Step-by-step explanation:
Answer:
Isoceles
Step-by-step explanation:
An isoceles triangle has 2 congruent sides.
A fair dice has six sides, numbered 1 to 6
After it is rolled, five of the numbers can be seen.
a) Write down the probability that one of these five numbers is 3
b) Work out the least possible sum of the five numbers
(a). The probability that one of these five numbers is 3 is [tex]\frac{5}{6}[/tex].
(b). The least possible sum of the five numbers is 15
Probability:Probability is the ratio of number of favourable outcomes to the total number of outcomes.
When a fair dice has six sides, numbered 1 to 6 ,After it is rolled, five of the numbers can be seen.
The probability that one of these five numbers is 3 is computed as,
[tex]P(E)=\frac{5}{6}[/tex]
The least possible sum of the five numbers, when the number 6 is hidden.
Least sum = 1 + 2 + 3 + 4 + 5 = 15
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At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?
Answer:
The sunflower's height when it was planted.
Step-by-step explanation:
The sunflower's height in inches, h, after weeks, is given by the equation :
h=2.5w + 19
We need to tell that what the number 19 represent in the equation.
If we put w=0, we get,
h=2.5(0) + 19
h = 19 inches
It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."
y - 4= -8 (x - 1)
linear or nonlinear?
The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?
Answer:
12 lemons, $5.52
Step-by-step explanation:
The equations of four lines are given. Identify which lines are parallel. Line 1: y=1/2x-6. Line 2: x-2y=-1. Line 3: y=4x+6. Line 4: y+3=1/4(x-6)
Answer:
Lines 1 and 2 are parallel because they have the same slope
Step-by-step explanation:
slope of line 1 = 1/2
slope of line 2 = 1/2
slope of line 3 = 4
slope of line 4 = 14
how to find slope of line 2, solve for 'y':
x - 2y = -1
-2y = x - 1
y = 1/2x + 2
how to find slope of line 4, simplify for 'y':
y + 3 = 1/4x - 1/4(6)
y = 1/4x - 6/4 - 3
y = 1/4x -6/4 - 12/4
y = 1/4x - 18/4
Oscar wants to rent a boat. The rental company charges an initial fee of $12 plus $8 per hour to rent the boat.
a) Write a linear equation to describe the total cost of renting the boat.
b) What is the cost of renting the boat for 5 hours?
i need points pleaseeeeeeeeee
Answer:
a) y=8x+12
b) $52
Step-by-step explanation:
for a)
the linear cost of this equation is 8, since is asks this amount per hour. The constant is 12, a one time fee. to form the equation, you would use the formula y=mx+b, and substituted in with the given, you get y=8x+12.
for b)
in b, it asks for the cost of renting the boat when x=5, renting the boat for 5 hours. all you have to do is plug in 5 in place of the x in the equation:
y=8x+12
y=8(5)+12
y=40+12
y=52
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8
4y=32+x
y=32+x/4
32+x/4=mx+8
32+x=4mx+32
32-32+x=4mx
x=4mx
x/:=4m
1=4m
m=1/4
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
If y= cx" and dy/dx =
4/root x
what are the values of c and n?
Answer:
c = 8
n = 1/2
Step-by-step explanation:
Since dy/dx is the derivative form, we can integrate the answer to get the value of y.
The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).
It can be stated in terms of geometry as the slope of tangent of the function at a given point.
It is given as y = cxⁿ and dy/dx = 4/√x.
Take the derivative of y = cxⁿ with respect to x as,
dy/dx = cd(xⁿ)/dx
⇒ nc × xⁿ⁻¹
Compare the obtained derivative with 4/√x to obtain,
nc = 4 and n - 1 = -1/2
⇒ n = 1/2 and c = 8
Hence, the values of c and n are 1/2 and 8 respectively.
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Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
7. Which of the following expressions contains like terms?
5xy - 13y
5x - 13xy
5xy - 13x
5xy - 13xy
Answer:
The last one
Step-by-step explanation:
Due to there being xy's in both terms
If /Il m, what is the value of x?
Answer:
x= 137 hope it helps have a nice day
Answer:
137
Step-by-step explanation:
180-43 (these two angles plug into all the angles)
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
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CEOLATIONS AND INEQUALITIES
Finding angle measures of a triangle given angles with variables
In the triangle below, suppose that m U=(x+9)°, m = (2x+1), and mW=(7x)".
Find the degree measure of each angle in the triangle.
Answer:
∠U = 26°
∠V = 35°
∠W = 119°
Step-by-step explanation:
Given:
∠U = (x+9)°
∠V = (2x+1)°
∠W = (7x)°
Find:
Value of each angle
Computation:
Using angle sum property
∠U + ∠V + ∠W = 180°
(x+9)° + (2x+1)° + (7x)° = 180°
10x + 10 = 180
x = 17
So,
∠U = (x+9)° = 17 + 9 = 26°
∠V = (2x+1)° = 34 + 1 = 35°
∠W = (7x)° = 7 x 17 = 119°
Please help with this question ASAP
Answer:
B. 28/15
Step-by-step explanation:
7/3 x 4/5 = 28/15
Find an equation of the plane. The plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) Incorrect: Your answer is incorrect.
Answer:
The equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].
Step-by-step explanation:
Algebraically speaking, a plane can be represented by following vectorial product:
[tex](a,b, c)\,\bullet\,(x,y,z) = 1[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Plane coeffcients.
[tex]x[/tex], [tex]y[/tex], [tex]z[/tex] - Coordinates.
We need three distinct points to determine all coefficients. If we know that [tex](x_{1},y_{1},z_{1}) = (0,9,9)[/tex], [tex](x_{2},y_{2}, z_{2}) = (9,0,9)[/tex] and [tex](x_{3},y_{3},z_{3}) = (9,9,0)[/tex], the system of equations to be solved is:
[tex]9\cdot b + 9\cdot c = 1[/tex] (1)
[tex]9\cdot a + 9\cdot c = 1[/tex] (2)
[tex]9\cdot a + 9\cdot b = 1[/tex] (3)
The solution of this system is [tex]a = \frac{1}{18}[/tex], [tex]b = \frac{1}{18}[/tex], [tex]c = \frac{1}{18}[/tex].
Hence, the equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].
What is 1/2 divided by 1/8?
Answer:
8/2
Step-by-step explanation:
Answer:
8/2 will be your first answer but then you simplify to get the answer of 4
anie spent 2.5 hours doing homework she spent 1/3 of the time on the history project she spent all remaining time writing an essay how much time did Annie spent writing the essay answer fast!!!!!!!!!!
4)
Which expression is equivalent to 3x + x + y?
A)
4xy
B)
5xy
0
3 + xy
Highlight
D)
4x + y
Time
Remaining
Answer:
D.) 4x + y
Step-by-step explanation:
3x + x + y
Add 3 x and x .
4 x + y
can anyone help me get the surface area of
2cm
5cm
8cm
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.