Answer:
B) 37%
Step-by-step explanation:
Given,
The total base pay and commission = $ 52561,
While, base pay = $ 23690,
So, the amount of commision = Total base pay and commission - base pay = $ 52561- $ 23690 = $ 28871,
Also, total sale = $77,300,
Hence, the rate of the commission( in percentage )
[tex]=\frac{Commission}{Sale}\times 100[/tex]
[tex]=\frac{28871}{77300}\times 100[/tex]
[tex]=\frac{2887100}{77300}[/tex]
[tex]=37.3492884864\%[/tex]
[tex]\approx 37\%[/tex]
Option 'B' is correct.
To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will restock her supplies and will spend $22 each time she restocks the supplies. The expression below describes this situation.
22x+54.35
In this expression, what is the coefficient and what does it describe?
co·ef·fi·cient
ˌkōəˈfiSHənt/Submit
noun
1.
MATHEMATICS
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).
So, 22 is your coefficient.
In the mathematical expression 22x + 54.35, the coefficient is 22. It describes how much the teacher spends in dollars each time she restocks her classroom supplies. The constant term '54.35' represents the initial spending at the start of the school year.
Explanation:In the given expression 22x + 54.35, the coefficient is 22.
The coefficient, in this context, represents the cost (in dollars) that the teacher spends each time she restocks her classroom supplies. Every time the teacher purchases more supplies during the school year, she is spending $22, hence the '22' is multiply by 'x' which indicates the number of times these supplies are restocked.
The constant term '54.35', on the other hand, represents the initial amount the teacher spends at the start of the school year. To summarise, '22x' describes the total expense on supplies restocked during the year, and '54.35' is the initial expenditure.
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A chocolate store pays its supplier $800 by check. The company records a decrease in cash immediately, but the bank doesn't record a decrease in cash until the supplier later deposits the check. This gives rise to a(n)
Answer:
The answer is Timing Difference
Explanation:
Timing distinction is the idea of the bookkeeping that happens because of the change issues. The planning contrast is the term that is amazingly utilized in the money related announcing or tax collection purposes. The technique for computation of the devaluation is distinctive in both monetary bookkeeping and tax collection. Timing contrasts definition. Transitory contrasts between the detailing of an income or cost for budgetary explanations (books) and the revealing of the thing for money impose reason.
Pls explain for each answer you pick pls
So here is how it would go
-12+12 = 08+(-8) = 0-5+-5 = -10-20+20 = 0-2000+2000 = 0Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilometer from the station. In kilometers, what is the approximate distance between the station and the balloon?
(a) 3.0
(b) 3.9
(c) 4.1
(d) 5.3
Answer:
(c) 4.1 km
Explanation:
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
where:
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
To get the length of the hypotenuse, we will use the Pythagorean theorem
[tex]hypotenuse = +\sqrt{(side1)^2 + (side2)^2}[/tex]
Substitute with the givens:
[tex]hypotenuse = +\sqrt{(4)^2 + (1)^2}[/tex] = √17 ≈ 4.1 km
Hope this helps :)
Whats the answer to 47+4x<7
Isolate the x. Treat the less than sign as equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 47 from both sides
4x + 47 (-47) < 7 (-47)
4x < -40
Next, divide 4 from both sides
(4x)/4 < (-40)/4
x < -40/4
x < -10
x < -10 is your answer
hope this helps
What’s the product of 0.54(8)
To find the product of 0.54 and 8, multiply the two numbers together. The product is 4.32.
to calculate the product of 0.54 and 8:
Start by multiplying the whole numbers:
8 * 0 = 0
Next, multiply 8 by the decimal, 0.54:
8 * 0.54 = 4.32
So, you first calculate the product of the whole numbers (8 * 0 = 0), and then you calculate the product of the decimal and the whole number (8 * 0.54 = 4.32).
When you add these results together, you get the final product, which is 4.32.
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A culture of 2.4X10^11 bacteria is in a Petri dish A. A culture of 8X10^9 bacteria is in Petri dish B. How many times greater is the number of bacteria in Petri dish A than patri dish B. Enter your answer in standard notation in the box.
A culture of 2.4 × 10^11 bacteria is in a Petri dish A
A culture of 8 × 10^9 bacteria is in Petri dish B
Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:
[tex]\frac{Number of bacteria in Petri dish A}{Number of bacteria in Petri dish B} = \frac{2.4 * 10^11}{8 * 10^9}[/tex]
Divide 2.4 by 8 to give 0.3
Divide 10^11 by 10^9 to give 10^(11-9) = 10^2
The answer is 0.3 × 10²
Find a rational number that is between 5.2 and 5.5. Explain why it is rational.
Answer:
5.3
Step-by-step explanation:
One rational number can be 5.3
It is rational because it has terminating decimal expansion
which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?
[tex]-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7[/tex]
Answer:
x < 6.4
Step-by-step explanation:
given,
-8 - 5 x + 2 > -38
- 5 x - 6 > -38
adding both side by 6
- 5 x - 6 + 6 > -38 + 6
- 5 x > -32
multiplying both side by (-1)
5 x < 32
on multiplying by negative sign the inequality direction changes
x < 6.4
the graph is shown in the figure attached below. the shaded region shows the required area.
What is the solution for the equation 6x − 8 = 4x
Your answer would be x=4.
6x-8=4x
sub 6x from both sides
-8=-2x
divide by -2 both sides
x=4
Hope This Helps!!!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.
Aswer: 9 / 4 sqrt 3
Solution:
Perimeter: P=9 inch
Area: A=?
A=(1/4) sqrt(3) L^2
Side of the triangle: L
We need the side "L" of the triangle:
We know: P=3 L
Replacing the perimeter in the equation above:
9 inch=3 L
Solving for L: Dividing both sides of the equation above by 3:
(9 inch) / 3 = 3 L /3
3 inch = L
L = 3 inch
Replacing L=3 inch in the formula of Area:
A=(1/4) sqrt(3) L^2
A=(1/4) sqrt(3) (3 inch)^2
Squaring:
A=(1/4) sqrt(3) (9 inch^2)
Multiplying:
A=(1*9)/4 sqrt(3) inch^2
A=9/4 sqrt(3) inch^2
Answer:
9√3/4
or
9/4√3
Step-by-step explanation:
P=3a=9⇒a=3 inches.
The area of the equialteral triangle is
A=\dfrac{a^2\sqrt{3}}{4}=\dfrac{3^2\sqrt{3}}{4}=\dfrac{9\sqrt{3}}{4}\ \text{sq. in}.A=4a23=4323=493 sq. in.
if you know two points on a line, how can you find the right the rate of change of the variables being graphed?
The rate of change is the slope of a line. The slope of the line can be calculated using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. To find the slope of a line using this formula, it is necessary to know two of the points on the line.
Determine the smallest integer value of x in the solution of the following inequality
4x+10>=11
4x+10 >= 11
4x+10-10 >= 11-10 .... subtract 10 from both sides
4x >= 1
4x/4 >= 1/4 .... divide both sides by 4
x >= 1/4
x >= 0.25
This means x must be 0.25 or larger. The next integer closest to 0.25, that is above 0.25, is the value 1.
So x = 1 is the smallest integer solution possible.
there is a picture with the questiom above
Answer:
its 10.55
Step-by-step explanation:
because he started with 12.50 spend 6.95 and neede 5 more
Answer:
its 10.55
Step-by-step explanation:
because he started with 12.50 spend 6.95 and needs 5 more in order to get the next
Please mark brainiest
Which number is a solution of a inequality b>10.6 a.-9 b.10 c.10.6 d.11
Answer:
y=9x+1.6
This is the right answer but there are slightly different equations similar
the difference of two numbers is 28 find both numbers if the larger is four more than three times the smaller
Let x = the smaller number.
Let 4+3x = the larger number.
So, 28 = 4+3x - x
24 = 2x
x = 12.
The smaller number is 12, now we need to find the larger number,
4+3(12)
40
So, the numbers are 12 and 40.
The equation can be solved by setting up two equations based on the information given, and then substitifying and simplifying the equations to solve for the two numbers. The two numbers are 12 and 40.
Explanation:
The subject of this question is dealing with equations in mathematics. To problem-solve this, we can first form an equation based on the information given: The larger number is equal to 'four more than three times the smaller number' and 'the difference between the two numbers is 28'.
So we can set up two equations:
Larger Number (L) = 3* Smaller Number (S) + 4 Larger Number (L) - Smaller Number (S) = 28By substituting the first equation into the second, it resolves as:
3S + 4 - S = 28
which simplifies to:
2S = 24
So, the smaller number S = 24/2 = 12. Substituting S = 12 into the first equation gives:
L = 3*12 + 4 = 36 + 4 = 40
So the two numbers are 12 and 40.
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a scale drawing of a school bus has a scale of 0.5 inch to 5 feet. if the length of the school bus is 4.5 inches on the scale drawing, what is the actual length of the school bus
the International Space Station orbits the earth 5475 times each year write a column addition problem to find out how many times it orbits the earth in 4 years
ISS completes 21,900 orbits around the Earth in four years.
To calculate how many times the International Space Station (ISS) orbits the Earth in 4 years, we would set up a column addition problem where we add the number of orbits per year 5475 times for each of the four years. Here is the problem set up for column addition:
5475
+ 5475
+ 5475
+ 5475
------
When we add these numbers, the total will give us the number of orbits completed in four years.
The addition is as follows:
5475
+ 5475
+ 5475
+ 5475
------
21900
Therefore, the ISS completes 21,900 orbits around the Earth in four years.
How can you put 32.3 as a mixed number in the simplest form
32.3 is a decimal number in which 3 is the digit at the tenth place.
Mixed number contains a whole number and a fraction part.
32.3 expressed as mixed fraction is [tex]32\frac{3}{10}[/tex] , here 32 is the whole number and [tex]\frac{3}{10}[/tex] is the fraction part.
[tex]\frac{3}{10}[/tex] is the fraction in the simplest form.
For this reason, 32.3 expressed as a mixed number in the simplest form is [tex]32\frac{3}{10}[/tex].
on Monday joe bought 10 cups of coffee and 5 doughnuts for his his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bough 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee
X= be coffee
Y=be donuts
Set up equations
10x+5y=16.50
5x+10y=14.25
Now multiply first equation by -2 to get a negative
(-2)10x+5y(-2)=16.50(-2)
-20x-10y=-33
Now put both equations to solve for x
-20x-10y=-33
5x+10y=14.25
___________
-15x. = -18.75
Now divide -15 bith sides to get x alone
X= -18.75/-15
X= 1.25
The cost of each coffee cup$1.25
The cost of each coffee cup will be equal to $1.25.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that on Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the office. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25.
The cost will be calculated by forming linear expressions below,
X= be coffee
Y=be doughnuts
The equations can be written as,
10x+5y=16.50
5x+10y=14.25
Now multiply the first equation by -2 to get a negative.
(-2)10x+5y(-2)=16.50(-2)
-20x-10y=-33
Now put both equations to solve for x
-20x-10y=-33
5x+10y=14.25
___________
-15x. = -18.75
Now divide -15 on both sides to get x alone,
X= -18.75/-15
X= $1.25
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I need to prove my sister wrong pleas help.
Each piece of butter is 0.4 ounces
Which compound sentence has its solution set shown on the graph below
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.
“Or” indicates that, as long as either statement is true, the entire compound sentence is true.
Now as shown in the graph, the solution inequality of the graph is :
x > 3 and x < 5 [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]
Now let's solve each option to find if it fits in with the above inequality
Option 1 : 2x-4 > 6 or 3x < 9
⇒ x > 5 or x < 3
Option 2 : 2x - 4 < 6 and 3x > 9
⇒ x < 5 and x > 3
Option 3 : 3x + 8 > -7 or -4x < 12
⇒ 3x > -15 or x < -3
⇒ x > -5 or x < -3
Option 4 : 3x + 8 < -7 and -4x > 12
⇒ 3x < -15 and x > -3
⇒ x < -5 and x > -3
So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9
has its solution set on the graph.
Whats the area of the shaded regions (show work)
You need to show the pictures for us to answer.
Can anyone help with this please
1/30 simplified your welcome for the help
a culture of 2.4 x 10^11 bacteria is in petri dish. A culture of 8×10^9 bacteria is in petri dish B. how many times greater is the number of bacteria in a petri dish A than petri dish B? enter your answer, in standard notation down below
2.4×10¹¹=240000000000
8×10'9= 8000000000
240000000000÷8000000000=30
so A is ×30 greater that B
I put this into my calculator but it keeps coming out as "error" :/ not sure if it's just my calculator or something with the problem
Evaluate the square root
The answer would be 9/5
Root 81 =9
Root 25 =5
14g>56 how do you solve this
What kind of triangle would the measurements 7ft 15ft 17ft
Answer:
This is an Obtuse triangle.
Step-by-step explanation:
A Equilateral Triangle is a triangle where all sides are equal. Here all sides are different so it is not an Equilateral Triangle.
Isosceles triangle is a triangle that has 2 sides that are equal. Here all sides are different therefore this is not an Isosceles triangle.
A right angled triangle is a triangle whose sides satisfy the following equality.
Lets say A triangle has sides a, b and c. Where c is the highest value.
Then, [tex]a^{2} +b^{2} =c^{2}[/tex]
Lets substitute the values to the above equation to see whether it the triangle we are given satisfies the above equality,
[tex]7^{2} +15^{2}[/tex] = [tex]49+225[/tex]=[tex]274[/tex]
[tex]17^{2} =289[/tex]
Therefore, [tex]7^{2} +15^{2}[/tex] ≠[tex]17^{2}
So it is not a Right Angled Triangle.
If the sum of squares of the shorter sides is greater than the square of the longer side then it is an Acute angle if not it is an obtuse angle.
[tex]7^{2} +15^{2}[/tex] = [tex]274[/tex]≤[tex]17^{2} =289[/tex]
Therefore, This is an Obtuse triangle.
Is 2x/3 the same as (2/3)x ? Just wondering
the best way to understand is putting a number in place of x and seeing if they are equal to eachother so just to make it simple i'll make x=6
so your first equation is 2(6)/3 =12/3=4 now the other equation would be (2/3)6 = 6
i actually solved it putting 2 in place of x and got the same answer for both so i think they're the same