We have to solve this expression:
[tex]undefined[/tex]a local salesman receives a base salary of $875 monthly. he also receives a commission of 10% on all sales over $1800. how much would he have to sell in a month if he needed to have a monthly income of $1500?
The total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.
What is termed as the sales commission?Sales commission is indeed the amount of cash as well as money paid to salespeople for exceeding a predetermined sales target. For instance, a company may agree to pay it's own salespeople a 4% commission on monthly sales exceeding Y.The total monthly earnings for salespeople can be calculated as follows:
Monthly salary = base salary + sales commission
Given that what a local salesman generates a base salary of $875 and a 10% sales commission on any and all sales above $1,800, the salesman must make the following sales in order to earn $1500 in a given month:
Let the sales done by 'x'.
Then,
875 + 7% (x - 1800) = 1500
875 + (7/100) (x - 1800) = 1500
7(x - 1800) = 62500
x - 1800 = 8928.7
x = 894657.14
Thus, the total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.
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James sells 6 cupcakes for £5
Maddie sells 4 cupcakes for £3.50
Which is better value?
You must show all your working.
Items 11-15. Lines a, b, c, and d
intersect as shown.
11. Which pairs of lines are parallel?
(a) a and b
(b) a and c
(c) c and d
(d) b and d
12. What is x?
13. What is y?
(a) 37
(b) 84
(c) 88
(d) 92
14. What is z?
(a) 84
(b) 92
(c) 96
(d) 109
15. If the slope of line d is given, the slope of which other line is known?
LEFT SIDE OF PAPER!!
Answer:
11. (c) c and d
12. x = 109°
13. (b) 84
14. (c) 96
15. C
Step-by-step explanation:
11. Parallel means that if the lines continued on forever, the lines will never cross. They have the same slope.
12. x is an alternate exterior angle to the angle labeled 109°. this means that the angles are equivalent.
13. y is the last unknown angle in the triangle. The interior angles of a triangle always add up to 180°. So 180° = 55° + 41° + y.
y = 180° - 55° - 41° = 84°
14. z is a supplementary angle to y, meaning that y + z = 180°.
180° - 84° = 96° = z
15. Lines d and c are parallel meaning they have the same slope, therefore if you know the slope of one, you know the slope of the other.
A shirt can be stitched using 3 2/5 m of cloth. How much cloth is required for stitching 15 such shirts?
A 50 m
B 55 m
C 51 m
D none of the above
Logan is having his dog professionally groomed and wants to tip the groomer 15%. What equation can Logan use to calculate the tip, y, if his total bill is x dollars?
Answer:
y = 1.15x
Step-by-step explanation:
15% = 0.15
100% = total bill
Total bill + 15% = 115% or 1.15
x × 1.15 = y
Simplify the complex rational expression. Type your answer in simplest form, multiplying any factors you may have in the numerator or denominator. When typing your answers, type your terms with variables in descending power and in alphabetical order without any spaces between your characters. If needed use the carrot key ^ (press shift and 6) to indicate an exponent.\frac{\left(\frac{2c}{c+2}+\frac{c-1}{c+1}\right)}{\frac{\left(2c+1\right)}{c+1}}
We will simplify the complex expression shown below:
[tex]\frac{\frac{2c}{c+2}+\frac{c-1}{c+1}}{\frac{2c+1}{c+1}}[/tex]The simplification process is shown below >>>>
[tex]\begin{gathered} \frac{\frac{2c}{c+2}+\frac{c-1}{c+1}}{\frac{2c+1}{c+1}} \\ =\frac{\frac{2c(c+1)+(c-1)(c+2)}{(c+2)(c+1)}}{\frac{2c+1}{c+1}} \\ =\frac{\frac{2c^2+2c+c^2+2c-c-2}{(c+2)(c+1)}}{\frac{2c+1}{c+1}} \\ =\frac{\frac{3c^2+3c-2}{(c+2)(c+1)}}{\frac{2c+1}{c+1}} \\ =\frac{3c^2+3c-2}{(c+2)(c+1)}\times\frac{c+1}{2c+1} \\ =\frac{3c^2+3c-2}{(c+2)\cancel{c+1}}\times\frac{\cancel{c+1}}{2c+1} \\ =\frac{3c^2+3c-2}{(c+2)(2c+1)} \end{gathered}[/tex]If we multiply out the denominator, we have:
[tex]\begin{gathered} \frac{3c^2+3c-2}{(c+2)(2c+1)} \\ =\frac{3c^2+3c-2}{2c^2+c+4c+2} \\ =\frac{3c^2+3c-2}{2c^2+5c+2} \end{gathered}[/tex]AnswerThe numerator is
[tex]3c^2+3c-2[/tex]The denominator is
[tex]2c^2+5c+2[/tex]Rewrite the equation in Ax+By=C form.Use integers for A, B, and C.y-4=6(x-6)
The question wants us to represent your the equation y - 4 = 6()
write the equation of the line that is perpendicular to 5x-4y=4 and passes through the point (-8, 2)
The linear equation perpendicular to 5x-4y=4 is:
y = (-4/5)*x + 42/5
How to get the linear equation?We want to find a line perpendicular to:
5x - 4y = 4
Solving this for y, we get:
y = 4 - 5x
y = (4 - 5x)/-4 = -1 + (5/4)*x
We can see that the slope of this line is 5/4, the slope of a perpendicular line will be the inverse of the opposite, so we get:
slope = -4/5.
Then the line is something like:
y = (-4/5)*x + b
To find the value of b, we use the fact that the line passes through (-8, 2)
2 = (-4/5)*-8 + b
2 = (-32/5) + b
2 + 32/5 = b
10/5 + 32/5 = b
42/5 = b
The linear equation is:
y = (-4/5)*x + 42/5
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What is the slope of the line that passes through the points (2, 8) and
(-3, 14)? Write your answer in simplest form.
Answer:
-6/5
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (14 - 8)/(-3 - 2)
slope = 6/(-5)
slope = -6/5
The solution is -6/5
The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A
Now , the value of A is A ( 2 , 8 )
Let the second point be B
The value of B is B ( -3 , 14 )
And , the slope of the line between 2 points is given by the formula,
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( -3 - 2 )
On simplifying the equation , we get
Slope m = 6 / ( -5 )
Slope m = -6/5
Therefore , the slope of the line is m = -6/5
Hence , The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5
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What is the weight of 6yards of fabric
Answer:6.1 ounces
Step-by-step explanation:
9t + 5(t + 3) = -(t + 13) + t
If we solve the given equation for t we get that t=-2
The equation given,
9t+5(t+3) = -(t+13) +t
⇒9t + 5t + 15 = -t -13 +t
⇒14t + 15 = -13 (∵-t+t=0)
⇒14t = -13-15 (bringing 15 from left hand side to right hand side the sign is flipped and 15 becomes -15)
⇒14t = -28
⇒[tex]t=\frac{-28}{14}[/tex] (dividing both sides by 14)
⇒t = -2
Thus on solving the equation we get t = -2
Your question was incomplete but most probably your full question was
Solve for t when this equation is given, 9t+5(t+3) = -(t+13) +t
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What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?
The transformation of the functions from f(x) to g(x) is translate 7 units right and 2 units up
How to determine the transformation?The equations of the functions are given as
f(x) = 3x + 9
g(x) = 3x - 10
Let the translations from f(x) to g(x) be h and k
So, we have
g(x) = f(x + h) + k
This gives
f(x + h) = 3(x + h) + 9 + k
Open the brackets
f(x + h) = 3x + 3h + 9 + k
Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k
g(x) = 3x + 3h + 9 + k
This means that
3x + 3h + 9 + k = 3x - 10
Evaluate the like terms
3h + 9 + k = - 10
This gives
3h + k = - 19
Express -19 as -21 + 2
3h + k = -21 + 2
Express 21 as 3 * 7
3h + k = -3 * 7 + 2
By comparison, we have
h = -7 and k = 2
This means that the transformation is 7 units right and 2 units up
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Three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes. Which of the following statements is true regarding Rick's votes?
The statement that is true regarding Rick's votes is D. Rick has 32 more votes than Jami.
How to calculate the value?From the information, three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes
Rick = h + 10
Jami = h - 22
In this case, it's important to note that the difference between Jami and Rick will be:
= 10 - (-22)
= 10 + 22
= 32
Therefore, Rick will have 32 more votes.
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Three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes. Which of the following statements is true regarding Rick's votes?
A. Rick has 10 more votes that Jami
B. Rick has 22 more votes that Jami
C. Rick has 5 more votes than Helen
D. Rick has 32 more votes than Jami.
At the beginning of baseball season, the
concession stand had inventory of
4,250 bags of popcorn. At the end of the
season, 1,250 bags remain. What is the
percent of decrease in the number of
bags of popcorn? Round to the nearest
tenth if necessary.
Answer:
70.6% decrease
Step-by-step explanation:
4250-1250 = 3000
4250x = 3000
x=70.6%
70.6% decrease
:]
PLEASE HELP! WILL MARK BRAINLIEST!Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.------ + ------ + ------k812k + 10k + 8k + 2k−8k−2
We already know that Jackson biked k kilometers.
Maria biked 8 more kilometers than Jackson, which means that she biked
[tex]k+8[/tex]Peter biked 2 fewer kilometers than Jackson, which means that he biked
[tex]k-2[/tex]To get the total all of them biked, we add those expressions together.
[tex]k+(k+8)+(k-2)[/tex]4. Find the perimeter and the area of the
trapezoid.
18 cm
33.3 cm
31.5 cm
32.4 cm
8.7 cm
The perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
What is a trapezoid?An open, flat shape with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel.So, the area and perimeter of the trapezoid:
The perimeter of the trapezoid formula: P = a + b + c + d
P = a + b + c + dP = 8.7+18+33.3+32.4P = 92.4 cmThe area of the trapezoid formula: a+b/2 × h
A = a+b/2 × hA = 8.7 + 18/2 × 31.5A = 420.525 cm²Therefore, the perimeter and area of the given trapezoid are 92.4 cm and 420.525 cm².
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Consider the following definite integral.sxex²+1d'dx0Identify the definite integral that will result after making a u-substitution.
The first choice is the correct result
Can someone answer this! Its due in 34 minutes!!!!
I WILL BE USING LAWSOF EXPONENTS.
[tex] = {3}^{3} \times (3^{2})^{3x} \\ = {3}^{3} \times 3^{2 \times3 x} \\ = {3}^{3} \times {3}^{6x} \\ = 3^{3 + 6x} [/tex]
IF IT SAID THAT K IS THE IS THE EXPRESSION IN TERMS OF K THEN THE EXPRESSION NOW IS
[tex]3 +6 x[/tex]
HOPE THIS HELPS
3. (02.02)
Angle ABC is formed by segments AB and BC on the coordinate grid:
90 degree
m/ABC 180 degrees
Angle ABC is rotated 90 degrees counterclockwise about the origin to form angle AB'C'. Which statement shows the measure of angle A'B'C' (4 points)
OmzABC 90
m/ABC= mzABC
5-
OmzABC-2 m/ABC
8
The statement that shows the correct measure of ∠A'B'C' is
m∠ABC = m∠A'B'C'.
What type of transformation does rotation do?
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point. A rotation produces a new figure known as the image. The picture matches the original figure exactly.
The rotation will typically be at a similar angle, even if a figure can be rotated by any number of degrees. Positive degrees will cause the figure to revolve counterclockwise. The graphic will turn clockwise if the degree value is negative. Any point on the figure can be rotated.
Given, ΔABC with co-ordinates (3, 4), (5, 3) and (3, 2); also ∠ABC = 53.13°
Again, ΔABC is rotated counter-clockwise by 90° to make the ΔA'B'C'.
Thus, new triangle having co-ordinates (-4, 3), (-3, 5) and (-2, 3) is obtained.
Rotation retains congruence since it is a transformation that does not alter side length or angle measure.
Thus, we have ∠A'B'C' = 53.13°
Therefore, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'.
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Given f(x)=3x2−5x−2.
What is the value of f(−2/3)?
Answer:
[tex]2\frac23[/tex]
Step-by-step explanation:
Hello!
Evaluate the function for -2/3, by plugging it in for x in the equation.
Evaluate[tex]f(x) = 3x^2 - 5x - 2[/tex][tex]f(-\frac23) = 3(-\frac23)^2-5(-\frac23)-2[/tex][tex]f(-\frac23) = 3(\frac49) + \frac{10}{3} - 2[/tex][tex]f(-\frac23) = \frac{4}3 + \frac{10}3 - 2[/tex][tex]f(-\frac23) = 4 \frac23 - 2[/tex][tex]f(-\frac23) = 2\frac23[/tex]The evaluated value is [tex]2\frac23[/tex].
Answer:
Step-by-step explanation:
The absolute value of negative two third is really 2/3 but if your trying to reduce it to the lowest term its 0.66 or 0.67 However I would just put only 2/3 in the box, confidently knowing it would be scored correct.
Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per
gigabyte. She wants to keep her bill under $60 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Ella
can use while staying within her budget.
> ≤ >
Inequality: 5g +37.5 < 59
9 4.3
Submit Answer
attempt 2 out of 2
The gigabyte needed will be g<2.2 as per the given condition that is- " Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month."
What is inequality?A mathematical statement of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).
How to solve inequality?Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the numbers on the other by adding or subtracting quantities.
Here,
Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.
So the inequality will be,
49+5g<60
5g<11
g<2.2
The required gigabyte will be g<2.2 under the following circumstances: "Ella's cell phone plan has a fixed monthly fee of $49 and a per-gigabyte charge of $5. She wants to keep her monthly bill under $60."
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The distance around Earth's equator is
4.00 x 104 km. The distance around the Moon's
equator is 6.8 x 103 km. What is the difference
between these distances?
The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.
Given Data
The distance around Earth's equator is
4.00 x 104 km
= 416 km
The distance around the Moon's equator is
6.8 x 103 km
= 700.4
Difference = Distance around Earth's equator - Distance around the Moon's equator
Difference = 700.4 - 416
Difference = 284.4
The difference between distance around Earth's equator and distance around the Moon's equator is 284.4.
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The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds. Use the constraints of the real-world situation to predict the height of the water balloon at 15 seconds. Use complete sentences to support your answer.
The representation of the linear model shows that the height of the balloon after 15 seconds is 0 feet.
In statistics, the term "linear model" has several meanings depending on the situation.
Since it refers to regression models the most, the phrase is frequently used synonymously with a linear regression model. When used in time series analysis, the phrase has a different meaning. In each case, "linear" refers to a subclass of models for which it is possible to significantly reduce the complexity of the underlying statistical theory.The water balloon is hurled from a height of 40 feet above, as can be seen from the linear model.
The balloon now ascends to a height of 70 feet before returning to ground due to gravity.
The balloon drops to the earth and makes a splash after about ten seconds.
Therefore, the balloon will remain at the ground for some more time.
As a result, according to the linear model, the balloon's height at time 15 seconds is always 0 feet.
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5x/6 = 30 solve for x simplify your answer as much as possible
Answer:
x = 36
Step-by-step explanation:
Simplify:To find the value of 'x', isolate 'x'.
[tex]\sf \dfrac{5}{6}x = 30\\\\ \text{Multiply both sides by 6,}\\\\ 5x = 30*6\\\\\text{Divide both sides by 5,}\\\\ x = \dfrac{30*6}{5}\\[/tex]
x = 6 * 6
x = 36
2. Write ONE algebraic rule that represents triangle JKL being translated to triangle J"K"L".
The original coordinates of JKL:
J(-3, -3), K(-4, 2) and L(2,1)
First, it is translated by the algebraic rule (x,y)->(x+2, y-3):
J(-3, -3)-> J'(-3+2, -3-3)=J'(-1, -6)
K(-4, 2) -> K'(-4+2, 2-3)= K'(-2, -1)
L(2,1) -> L'(2+2, 1-3)= L'(4, -2)
Then, this image is translated by (x,y)-> (x-2, y-1)
J'(-1, -6) -> J''(-1-2, -6-1) = J''(-3, -7)
K'(-2, -1) -> K''(-2-2, -1-1)= K''(-4, -2)
L'(4, -2) -> L''(4-2, -2-1)= L''( 2, -3)
Coordinates for triangle J''K''L'':
J''(-3, -7), K''(-4, -2) and L''( 2, -3)
2. To find algebraic rule that represents JKL to J''K''L'':
[tex]\begin{gathered} J^{\doubleprime}(-3,-7)\text{ and J(-3, -3)} \\ (x,y)\rightarrow(x,\text{ y+4)} \end{gathered}[/tex]What percentage of this shape is shaded?
The point J(-2,2) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, J'?
Check the picture below.
The midpoint of AB is M(1, 1). If the coordinates of A are (-2,5), what are the
coordinates of B?
The coordinates of B are (4 , -3) .
A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.
The origin of each reference coordinate line, known as an axis of the system or simply an axis (plural axes), is the intersection of the ordered pairs (0, 0). The coordinates can also be determined by looking at the locations of the perpendicular projections of the point onto the two axes, which are shown as signed distances from the origin.Let the coordinates of B be (x, y)
As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:
abscissae of M = (-2 + x) /2
or, 1 = (-2 + x) /2
or, x = 4
Ordinate of M = (5 + y)/2
or , 1 = (5 + y)/2
or, y = -3
Therefore the coordinates of B are (4 , -3)
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Given a Figure whose points are A(4, 5), B(2, -1), C(0, 0), D(-4, -1).
What would be the image of that figure if it goes under a reflection across the line y = 1, what is the
coordinate of B'?
A. B'(2, 3)
B. B'(3, 1)
C. B'(-2,3)
D. B'(2, -3)
Answer:
B' (2,3)
Step-by-step explanation:
See the pictures below. B was two units below y = 1 so B' needs to be 2 units above y = 1. That places the point at (2,3)
Given the function f(x) = 8x + 4, find each of the following. f(5), f(-8), f(0)
Answer:
44, -60, 4
Step-by-step explanation:
8(5) + 4 ---- 40 + 4 ---- 44
8(-8) + 4 ---- -64 + 4 ---- -60
8(0) + 4 ---- 0 + 4 ---- 4