Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652
Van Dressler's total sales amount is $12,166.6666667
What is sales amount ?
A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.
3% = $365
365/3*100 =$12,166.6666667
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Which expression below is equal to 6(2x+4) - x² +15-x?
A. x² +11x +9
C. 14x +39
B. x² +11x +39
D. 10x² +9
Answer:
B
Step-by-step explanation:
[tex]6(2x+4) - x^2+15-x\\=12x + 24-x^2+15-x\\=-x^2+24+15+12x-x\\=-x^2+11x+39[/tex]
The closest answer you have provided is B.
he height of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 13 square cm/min. at what rate is the base of the triangle changing when the height is 4 centimeters and the area is 12 square centimeters?
The rate of change of base is 5 cm/min.
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.
Let us assume that
h = height of the triangle
[tex]\frac{dh}{dt}[/tex] = rate of increase of height = 1 cm/min
A = Area of triangle
[tex]\frac{dA}{dt}[/tex] = rate of increase of area = 13 cm²/min
Area of traingle, A = 1/2*(b*h)
When A = 12 cm² and h = 4 cm,
Put in above formula,
12 = 1/2 * (b)(4)
∴ b = 6 cm
A = 1/2 * b*h
[tex]\frac{dA}{dT} = \frac{1}{2}h\frac{db}{dt} + \frac{1}{2}b\frac{dh}{dt} \\\\13 = \frac{1}{2}*4* \frac{db}{dt} + \frac{1}{2}*6*1\\\frac{db}{dt} = 5 cm/min[/tex]
Thus, rate of change of base is 5 cm/min.
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due now pls help!!!!!!!!!!!!
Pythagorean Theorem we get x is 8.
What is the Pythagorean theorem ?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2[/tex], are equal to the squares on the legs.To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula [tex]c^2 = a^2 + b^2[/tex], where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.given :
Hypotenuse = 10
base = 6
unknown leg x = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8
x =8 .
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Two types of alien live on the planet Starlight: Zoomas have 3 eyes
and 2 legs and Popsies have 4 eyes and 5 legs. How many of each
type of alien might there be if there are 38 eyes and 37 legs?
After the linear equation method the answer is 6 Zoomas and 5 Popsies.
What is an linear equation?
Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.
There is a linear equation in one variable and a linear equation in two variables.
It is given that there are two types of alien live on the planet Starlight Zoomas and Popsies.
Zoomas have 3 eyes and 2 legs
Popsies have 4 eyes and 5 legs
There are total 38 eyes and 37 legs
Let there are x number of Zoomas and y number of Popsies.
According to question:
3x + 4y = 38 ..........(1)
2x + 5y = 37 ...............(2)
Solve the above system of equation.
Find the value of x from the equation(1)
3x + 4y = 38
3x = 38 - 4y
x = [tex]\frac{38-4y}{3}[/tex]
Substitute this value of x in equation(2)
2( [tex]\frac{38-4y}{3}[/tex]) + 5y = 37
⇒ [tex]\frac{76-8y}{3}+5y = 37[/tex]
⇒ [tex]\frac{76-8y+15y}{3}=37[/tex]
⇒ 76 + 7y = 111
⇒ 7y = 111 - 76
⇒ 7y = 35
⇒ y = 35/7 = 5
Substitute this value of y in the value of x
x = [tex]\frac{38-4y}{3}[/tex]
x = [tex]\frac{38-4(5)}{3}=\frac{38-20}{3}=\frac{18}{3}=6[/tex]
Therefore, there are 6 Zoomas and 5 Popsies.
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suppose that10% of people are left handed. if7people are selected at random, what is the probability thatexactly 2 of them are left handed?
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
what is percentage ?10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.
As a result:
10% of people identify as left-handed.
P(left-handed) = 0.1 is the probability of success.
Selection number (n) equals six
The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)
P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)
= 0.098415
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
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4/9 x 6 help me please
Answer: 2.666666etc..
Step-by-step explanation:
Answer:
2.64
Step by step explanation
4/9=0.44
0.44×6=2.64
133% of what number is 72?
Answer:
54 is the answer
Step-by-step explanation:
hope this helps
Answer:
54 is your answer
Step-by-step explanation:
the person above is right
PLEASE HELP ME! 30 POINTS AND I WILL GIVE BRAINLIEST!
14 - 8x < 6x + 36
Answer:
x (in simple terms)< -11/7 or -1 4/7
Step-by-step explanation:
1) Place x on one side: The point of this is to islolate x (and to keep things simple make x a positive variable if you can). One way of doing this is adding 8x on both sides what we now get is 14 < 14x + 36
2) Subtract 36 on both sides: We doing this for the same reason as the 1st step which is to islolate x so after this the new equation is -22 < 14x
3) Divide 14 on both sides: Since we aren't dividing by a negative number the sign remains the same the answer is -22/14 < x or x> -22/14 but to simply find the greatest common factor for both the numberator and demonationr which is 2 and divide from there the answer is x> -11/7 or x> -1 4/7
4) Ellie drives 169 miles from Sheffield to London,
She drives at an average speed of 65 miles per hour.
She leaves Sheffield at 6:30 am.
Does she arrive in London before 9:00 am?
You must show your working.
Answer: no
Step-by-step explanation: because 65x3=165 then it will be 9:30 already so she will be late by 30 minutes
A cla ha 12 boy and 18 girl. The cla a a whole ha a GPA (grade point average) of 2. 88, and the boy have a GPA of 2. 52. What i the GPA of the girl? (Round your anwer to two decimal place. )
The GPA of the girls is 3.12
In this question, we have been given a class has 12 boys and 18 girls.
The class as a whole has a GPA (grade point average) of 2.88, and the boys have a GPA of 2.52
We need to find the GPA of girls.
Let m be the GPA of girls.
The weighted average GPA would be,
(12(2.52) + 18m)/ (12+18) = 2.88
We solve above equation to find the value of m
30.24 + 18m = 30 * 2.88
18m = 86.4 - 30.24
18m = 56.16
m = 3.12
Therefore, the GPA of the girls in the class is 3.12
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due today pls help me :c
you have 345321 dogs, 928822 pigs,and 1873652 cats. how many dogs do you have
Answer:345321
Step-by-step explanation:
you said it?
Find the value of b.
Give reasons.
Answer:
b = 72
Step-by-step explanation:
Since AB and AC are congruent then Δ ABC is isosceles with base angles also congruent, that is
∠ ACB = ∠ ABC = b
the sum of the 3 angles in the triangle is 180° , then
b + b + 36 = 180
2b + 36 = 180 ( subtract 36 from both sides )
2b = 144 ( divide both sides by 2 )
b = 72
Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A(-8,-2) and B (6,19)
The coordinates of the point P that is 2/5 of the way from A to B are:
P = (-5.6, 11,2)
How to find point P?If we want to find a point that is 2/5 of the way between two points (x₁, y₁) and (x₂, y₂), then we need to use the formula:
( (3/5)x₁ + (2/5)x₂, (3/5)y₁ + (2/5)y₂)
Here the two points are (-8, -2) and (6, 19), using the above formula we will get the point P:
P = ( (3/5)*-8 + (2/5)*-2, (3/5)*6 + (2/5)*19)
P = (-5.6, 11,2)
These are the coordinates of the point P.
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I need help with number 1
118°
The overall shape is a quadrilateral. meaning total angles on the inside = 360°
each side is equal and therefore both CDE and CFE are the same. 90 + 34 = 124
360 - 124 = 236
236/2 = 118 therefore you answer is 118°
The triangles below are similar. Solve for X.
Answer: x=26
Step-by-step explanation:
a^2+b^2=c^2
28.2^2-16^2=539.24
square root 539.24=23.2
23.2^2+11^2=659.24
square root 659.24=25.7
x=25.7 or 26
You lose an online auction for an autograph. Your losing bid of $40 is 80% of the winning bid. How much less was your bid than the winning bid
In the online auction for an autograph, losing bid is 10 less than the winning bid.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Losing bid in online auction of Autograph = $40,
Also, Losing bid is 80% of the winning bid,
Let winning bid is 100%.
Therefore, winning bid is 20% more than losing bid.
Since,
80% = 40
20 % = 10
Hence, losing bid is 10 less than the winning bid.
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anyone understand this?
Answer:
YES
Step-by-step explanation
it is just vocab words you probably have to study
Find the equation of the line shown.
The equation of the line is y = -2x + c
What is an equation ?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another.
To find the slope, use the two points (4.5,0) and (0,9) and substitute these in the slope formula:
m = [tex]\frac{(y_{2} - y_{1})}{(x_{2} - x_{1} )}[/tex]
= (9 - 0) / (0 - 4.5)
= -2
The equation of the line is
y = mx + c
y = -2x + c
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Write the percent as a fraction and as a decimal.
3
-%
15
What is the fraction equivalent?
(Type a whole number, fraction, or mixed number.)
(a) The fraction for the given percentage is 3% = 3/100 and its decimal number is 0.03.
(b) The fraction for the given percentage is 15% = 15/100 = 3/20 and its decimal number is 0.15.
Here the fractions 15/100 and 3/20 are equivalents.
What are equivalent fractions?Two fractions whose numerators and denominators are different but whose value is the same are said to be equivalent fractions.
For example, a/b = k and c/d = k. Then a/b = c/d.
The fractions a/b and c/d are equivalent fractions.
Calculation:Given percentages are 3% and 15%.
A percentage is a ratio of the parts in the whole of 100 parts.
So, 3% = 3/100
This is nothing but a fraction.
To convert it into decimals, divide the numerator by the denominator. So, we get 3/100 = 0.03.
Similarly, for 15%, the fraction is 15/100
This fraction when divided by 5 in both numerator and denomiantor, we get (15/5)/(100/5) = 3/20
So, the fraction 3/20 is the equivalent fraction for the fraction 15/100 Since their values are the same i.e., 0.15. Thus, the decimal number for those fractions is 0.15.
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A bicycle manufacturer builds both Racing bikes and Recreational bikes from it's local warehouse. It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it. It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it. Assembly can take no more than 180 hours throughout the week, and painting can take no more than 135 hours hours per week. If x represents the number of Racing bikes and y represents the number of Recreational bikes, which of the following systems represents the weekly constraints on assembly and painting?
The system of inequality that represents the weekly constraints on assembly and painting is;
5x + 4y ≤ 180
2x + 3y ≤ 135
How to create a system of inequalities?
We are told that;
x represents the number of Racing bikes.
y represents the number of Recreational bikes
It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it.
It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it.
Assembly can take no more than 180 hours throughout the week. This means ≤ 180
Painting can take no more than 135 hours hours per week. This means ≤ 135. Thus, the inequalities are;
5x + 4y ≤ 180
2x + 3y ≤ 135
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Jada sold 9 stuffed animals last year, which was 36 % of her collection. How many stuffed animals did she start the year with?
Answer:
25
Step-by-step explanation:
9/x = 36/100
9 x 4 = 36
? x 4 = 100
100 ÷ 4 = 25
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 -. 1 2 3 4 5 6 7 8 9 10 11 A. No, because two points with the same x-value have different y values. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same y-value have different x- values. D. Yes, because every x- and y-value is positive.
Answer: A. No, because two points with the same x-value have different y values.
Step-by-step explanation: A function is a relation in which each element in the domain (the set of x-values) is paired with exactly one element in the range (the set of y-values). If there are two points with the same x-value but different y-values, then there is more than one y-value for a given x-value, which violates the definition of a function. Therefore, the given relation is not a function.
Identify two equations for the line that passes through (2,-1) and (8,4)
The equations of the line that passes though points (2,-1) and (8,4) are
y = 2x/3 - 7/3y = 2x/3 - 28/3How to find the equations of the lineThe linear function written in the slope intercept form form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (2,-1) and (8,4)
m = (y₂ - y₁) / (x₂ - x₁)
substituting the values
= (-1 - 4 ) / (2 - 8 )
= -4 / -6
= 2/3
using the point slope formula which is
(2, -1)
(y - y') = m(x - x')
(y - (-1)) = 2/3(x - 2)
y + 1 = 2x/3 - 4/3
y = 2x/3 - 4/3 - 1
y = 2x/3 - 7/3
(8,4)
(y - 4) = 2/3(x - 8)
y - 4 = 2x/3 - 16/3
y = 2x/3 - 16/3 + 4
y = 2x/3 - 28/3
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a researcher obtained a correlation of .52 between variable a and variable b. what is the best interpretation of this correlation?
If the correlation between variables a and b is +0.52, then it shows that as value on A increases, the value on B increases
The correlation between variable a and variable b = +0.52
The correlation is defined as the statistical variable that show the relationship between the variables. So when one variable increases another variable increase or if one variable decreases another variable decreases. So correlation show the the variable changes at constant rate.
In the given details
The correlation between variable a and variable b is +0.52. The sign of the correlation is positive so variable a is increasing and the variable b will also increases at constant rate
Therefore, the best interpretation of correlation is as value on A increases, the value on B increases
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If sin 0 = 7/25, use the Pythagorean Identity to find cos 0.
Answer:
cosФ = [tex]\frac{17}{25}[/tex]
Step-by-step explanation:
the sin and cos are the same and for tan it's flipped.
What is 9/10 written as a percent? Responses
Answer:
90% is the answer
Step-by-step explanation:
hope this helps.
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
The area of the circle-shaped rug is 379.94 square inches
How to determine the area of the circleThe formula for calculating the area of a circle is expressed as;
Area = πr^2
Where;
π has a constant value of 3.14r is the radius of the circleFrom the information given, we have the value of the circumference as 69.08 inches
We need to find the value of the radius.
The formula for calculating the circumference of a circle is mathematically expressed as;
Circumference = 2πr
Where: r is the radius of the circle and π takes the value 3. 14
Now, substitute the value into the formula for circumference of a circle, we have;
69.08= 2(3.14)r
Divide both sides by the coefficient of r
r = 69.08/6. 28
r = 11 inches
Then, area = 3.14 × (11)^2
Area = 3.14 × 121
Area = 379.94 square inches
Hence, the value is 379.94 square inches
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Complete question:
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches. Find the area
a car traveling at 48 ft/sec decelerates at a constant 2 feet per second per second. how many feet does the car travel before coming to a complete stop?
567 feet does the car travel before coming to a complete stop .
What is the definition of a velocity simple?
The direction of the movement of the body or the object is defined by its velocity. In its basic form, speed is a scalar quantity.
In essence, velocity is a vector quantity. It measures how quickly a distance changes. It is the displacement change rate.
vo = 48 v(t) = integral of a(t) plus vo, the initial velocity
a(t) = -2
v(t) = -2t + 48 = 0 when t= 21 seconds, the time to stop
s(t) = -t^2 +48t
s(21) = -(21)^2 + 48(21) = 1008-441 = 567 feet
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