Answer:
Method 2, a monthly base salary of $1,500 with a 3% commission on sales over $7,500, will earn more money.
Step-by-step explanation:
given -
method 1 - he can choose to earn only a 10% commission on sales each month,
method 2-earn a monthly base salary of $1,500 with a 3% commission on sales over $7,500.
also, he has an average sales of $16,000 each month.
according to the question;
method 1 earning =>
10% of $16,000 =>(10/100)*$16,000=$16,00.
method 2 earning =>
$1,500+(3/100)*($16000-$7500)=$1755.
in method 2, a monthly base salary of $1,500 with a 3% commission on sales over $7,500. he will earn more.
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Answer this pleaseeee
Answer:
Option 4: a reflection over the y-axis and a translation 4 units down
Step-by-step explanation:
f(x) = 3x + 1 ---> g(x) = -3x - 5
to go from 3x to -3x is a reflection across the y axis
to go from 1 to -5 is a shift 4 units down
Evaluate the expression 6 + 8f for f = 4.
A 8
B 18
C 38
D 56
P1-8
The answer is C:38
explanation: you multiply 8x4=32, so then you add 6 to 32
Hope this helped!
If you know any of these please help!
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices.
What is meant by angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. It is referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.The arc is centered at the vertex and defined by the sides in the case of a geometric angle. When there is a rotation, the arc is defined by any other point and the rotation's image, and it is centered at the rotation's center.10. In the given figure,
l ║m
(3x - 29)° + (8y + 17)° = 180° [Because they are linear pairs]
⇒ 3x -29 + 8y + 17 = 180
⇒ 3x + 8y - 12 = 180
⇒ 3x + 8y = 192 ............ (1)
Now,
8y + 17 = 6x -7 [Alternate interior angles]
⇒ 6x - 8y = 24 ..............(2)
On adding (1) and (2),
(3x + 8y) + (6x - 8y) = 192 + 24
simplifying the above equation, we get
⇒9x = 216
⇒ x = 216/9 = 24
⇒ x = 24
Now, 6x - 8y = 24
⇒ 8y = 6(24) - 24
⇒ y = (144 - 24)/8
⇒ y = 120/8 = 15
So, x = 24 and y = 15
11. In this given figure,
l ║m
7x - 23 = 49 + 3x ...... (Alternate interior angles)
⇒ 7x - 3x = 49+23
⇒ 4x = 72
⇒ x = 18
11y -1 = 3x [Alternate exterior angles]
⇒ 11y - 1 = 3 x 18
⇒ 11y = 54 + 1
⇒ 11y = 55
⇒ y = 5
Therefore, the value of x = 18 and y = 5
12. 11. In this given figure,
l ║m
3x - 4 = 5x - 38 [Alternate interior angles]
⇒ 5x - 3x = 38 - 4
⇒ 2x = 34
⇒ x = 17
7y - 20 + 5x - 38 + 90° = 180° [Angle sum property of a triangle]
⇒ 7y - 20 + 85 - 38 + 90 = 180
⇒ 7y + 117 = 180
simplifying the above equation, we get
⇒ 7y = 180 - 117
⇒ 7y = 63
⇒ y = 63/7 = 9
Therefore, the value of x = 17 and y = 9
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the answer is not 16 and I don't know how it's not 16 and I need someone to explain it to me what the real answer is cuz I already know what the real answer is and I don't understand how it's the real answer
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Scale factor: 1 : 8
Scale drawing:
A = 2 cm²
Object:
A = ?
Step 02:
A = 2 cm² * (8 / 1) = 16cm²
Question is in the image
Answer:
0
Step-by-step explanation:
7 is not in the sample space, meaning it is impossible. Therefore, the probability is 0.
Please help me with my math
Answer:
I see a right angle, so the transversal is perpendicular to the parallel lines. Therefore, x and y are supplementary and congruent, and so we have x = 90 and
y = 90.
Help with this equation I need to turn it in
Answer:
y=12x+40
Step-by-step explanation:
The earnings are the initial payment per month plus the pay per hour times the number of hours.
13.5% of an amount is 37 what is the original amount
Let the original amount be n.
(n) (percentage) = (final amount)
Solving the Question
We're given:
Original amount = nPercentage = 13.5%Final amount = 37Organize this information into an equation:
n(13.5%) = 27
⇒ Convert 13.5% into a decimal:
0.135n = 27
⇒ Divide both sides by 0.135:
n = 27 ÷ 0.135
n = 200
Therefore, the original amount is 200.
Answer200
Mia needs to bring at least 25 pieces of fruit to the school picnic. she is bringing both apples and oranges, and was told to be sure to bring more than 10 apples select all inequalities that model this situation
Answer:
2.5
Step-by-step explanation:
if it is divison then the answer would be 2.5
if its additin is 35
if subtraction it is 15
if multipcation 250
Graph this inequality 7 < f
The graph of the inequality 7< f has been plotted.
The given inequality is 7 < f
The inequality states that the the relationship between two numbers. The relationships are greater than, greater than or equal to , less than, less than or equal to, equal to. These are the commonly used relationship between the two number in the inequality.
Here the inequality is 7 < f
The value of f is greater than 7
Plot the inequality in the graph
At the point 7 we use a small circle to represents the term greater than, if it was greater than or equal to we use a dot at that point
Hence, the graph of the inequality 7< f has been plotted
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Consider the quadratic function f(x) =x - 5x + 6.
What are the values of the coefficients and constant in the function?
The values of the coefficients and constant in the quadratic function are a = 1, b = -5, and c = 6, where a and b are coefficients and c is the constant.
What are quadratic functions?A polynomial function with one or more variables, where the greatest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the highest degree term in a quadratic function is of the second degree. The formula for a quadratic equation is ax² + bx + c = 0, where a and b are referred to as the coefficients of x² and x, respectively. The function's constant is the c term.Given quadratic function f(x) = x² - 5x + 6.
The values of the coefficients and constant in the function are
a = 1
b = -5
c = 6
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Each bucket holds gallons 2 3/4of water. If it takes 9 buckets to fill a tank, how much water does the tank hold?
Answer:
207/4 some other forms are 51 3/4 or 51.75
Step-by-step explanation:
Answer:
24 3/4 gal
Step-by-step explanation:
2 3/4 gal / bucket * 9 bucket = 24 3/4 gal
how do you solve this
Answer:
45
Step-by-step explanation:
In this picture we can see that they gave us 2 angles.
Angle V has an angle of x+83
Angle S has an angle of 4x - 53
As one of the circle thermoses in mathematics said when there is an angle in the center of the circle, the angle at the circumference is half the angle at the center, which means we could create and equation such that:
angle of angle V = 2 times the angle of angle S
x + 83 = 2(4x - 53)
x + 83 = 8x - 106
189 = 7x
27 = x
Since we know x = 27, we can substitute into the equation angle of S to find what is the angle of TSU:
4x - 53
= 4(27) - 53
= 108 - 53
= 45
Answer:
<TSU = 55°
Step-by-step explanation:
We know that,
Angle at the circumference of a circle is twice the angle at the centre.
Therefore,
2 × <UST = <UVT
Given that,
< UVT = x + 83
< TSU = 4x - 53
Accordingly, we can make an expression like this.
[tex] \sf2 × <UST = <UVT[/tex]
[tex] \sf2(4x - 53) = x + 83 \\ [/tex]
And now solve the above expression and find the value of x.
Let us solve it now.
[tex] \sf8x - 106 = x + 83 \\ \sf8x - x = 106 + 83 \\ \sf7x = 189 \\ \sf \: x = 27[/tex]
And now, according to the question they've asked us to find the value of <TSU.
As we mentioned earlier, they've given that, <TSU = 4x - 53.
So, to find the value of Angle TSU, we have to replace x with 27 and find the value of angle TSU.
Let us solve it now
[tex] \sf \: <TSU = 4x - 53 \\ \sf \: <TSU = 4 \times 27 - 53 \\ \sf \: <TSU = 108 - 53 \\ \sf \: <TSU = 55 \degree[/tex]
ALGEBRA 2
9) Solve using elimination.
3a = -5b-2
10b=1-6a
Answer:
No solution.
Step-by-step explanation:
Solving using elimination method:
3a = - 5b - 2
3a + 5b = -2 ------------------(I)
10b = 1 - 6a
6a + 10b = 1 --------------------(II)
[tex]\sf \dfrac{a_1}{a_2}= \dfrac{3}{6}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{5}{10}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2} = \dfrac{-2}{1}[/tex]
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
So, this system of linear equations are two parallel lines and has no solution.
Question
Choose the English equivalent of the underlined word in the following sentence:
La pizarra es verde.
yellow
green
blue
red
Answer:
Green
Verde = green
ms kit teaches 5 reading groups each group has 6 students find how many students ms.kit teaches today if 2 students are absent
Here are the ingredients needed to make 8 pancakes.
250 ml milk
egg
140 g flour
5 g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b)
Craig makes 12 pancakes.
Work out how much butter he needs.
2. John has $160 to spend on video
games. He spent $30 on a controller
and the rest on video games. If each
game costs $13, how many games did
he buy? (Write an equation using "g"
to represent the number of games.
Solve for g.)
He buy 10 games that costs $13.
What is equation?Equation, also known as a statement of equivalence between two expressions with variable- and/or number-based components. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
Given Data
John has $160 to spend on video games.
He spent $30 on a controller the rest on video games.
If each game costs $13
Equation
30 + 13g = 160
13g = 130
g = 10
He buy 10 games that costs $13.
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If the supplement of an angle is 12 degrees less than twice the measure of the angle, what is the measure of the angle?
The angle whose supplement is 12 degrees less than twice its measure is 64 degrees.
What is the measures of the supplementary angle?supplementary angles are angles that add up 180 degrees.
Given the data in the question;
Let x represent the first angle.
Measure of first angle = xMeasure of second angle = 2x - 12Numerical measures of the angles = ?Since the angle are supplementary, sum of angles = 180°
First angle + second angle = 180
x + ( 2x - 12 ) = 180
Solve for x
x + 2x - 12 = 180
3x - 12 = 180
3x = 180 + 12
3x = 192
x = 192/3
x = 64
Therefore, the measure of the angle 64 degrees.
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The Smithsonian Jellyfish Tank that regularly sells for $24.99 was on sale for 15% off with a special code. How much would be saved by using the code?
The saved amount after selling the tank and by using the code is $21.24.
What is selling price?
The selling price is the amount in the form of extra charges which was decided by the shopkeepers for the different commodities. The cost spent by the shopkeeper for the purchase is the cost price. And for profit selling price should be more than the cost price.
According to the question, the given parameter is as written below:
The selling price of the Jellyfish tank is: $24.99
And the discount with special code is: 15 percent
The calculated money saved by using the special code is:
Discount Amount = (24.99 x 15)/100 = 3.7485
Saved money = $24.99 - $ 3.7485 = $ 21.2415 ≅ $ 21.24
Hence, the saved amount after selling the tank and by using the code is $21.24.
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A gate is made out of 7 panels of wood, each in which is 15.7 cm wide. between the panels there is a gap of 14.9 cm how wide is the gate in total and in cm?
Answer:
Total width of the gate in cm is equal to=> 109.9+89.4=199.3 cm
Step-by-step explanation:
GIVEN-
A gate is made out of 7 panels of wood, each of which is 15.7 cm wide. between the panels, there is a gap of 14.9 cm
THIS IS AN EASY SUMMATION PROBLEM-
FOR ONE PANEL WIDTH =15.7
FOR 7 PANEL'S WIDTH =15.7*7=109.9;
NOW, between the 7 panels, 6 gaps create
one gap =14.9 cm
six gap =14.9 * 6 =89.4 cm
so, the total width of the gate in cm is equal to=> 109.9+89.4=199.3 cm
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3/x-1-4x-1/x+1 =x^2+5/x^2-1-5
After thoroughly calculating the equation, we conclude that x⁴ + 4x³ - 6x² - 2x + 25 is the simplified form of 3/x - 1 - 4x - 1/x + 1 = x² +(5/x)²- 1 - 5
What is a simplified form?When the top and bottom of a fraction are the same size and still whole numbers, the fraction is said to be in its simplest form or simplified form.
Using 2/4 as an example, 1/2 can be written.
Simplify a fraction by multiplying its top and bottom by the biggest number that will divide them both exactly (they must stay whole numbers). the outcome will be what we call the simplified form.
We have been asked to simply the equation
3/x - 1 - 4x - 1/x + 1 = x² +(5/x)²- 1 - 5
⇒ 3/x - 4x - 1/x + 6 = x² +(5/x)²
⇒ 2/x - 4x + 6 = x² +(5/x)²
⇒ 2/x - 4x²/x + 6x/x = x² +(5/x)²
⇒ (2 - 4x² + 6x)/x = x² +(5/x)²
Multiplying x to both side
⇒ 2 - 4x² + 6x = x² +(5/x)² × x
⇒ 2 - 4x² + 6x = x³ + 25/x
⇒ x³ + 4x² - 2 = 6x - 25/x
⇒ x³ + 4x² - 2 = 6x²/x - 25/x
⇒ x³ + 4x² - 2 = (6x²- 25)/x
Multiplying x to both side
⇒ (x³ + 4x² - 2) x = 6x²- 25
⇒ x⁴ + 4x³ - 2x = 6x²- 25
⇒ x⁴ + 4x³ - 6x² - 2x + 25
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Need help!!! 50 points
The multiplication of the mixed fractions as 4²/₇ * 2¹/₅ gives; 9³/₇
How to multiply mixed fractions?A mixed fraction is one that has a part that is a whole number and a part that is a proper fraction.
Now, a proper fraction has its' numerator lesser than its' denominator while an improper fraction has it's numerator greater than its' denominator.
Let us convert each fraction into an improper fraction before multiplication.
4²/₇ = 30/7
2¹/₅ = 11/5
Thus, we have;
30/7 * 11/5
This can be reduced to;
66/7 which can be converted back to a mixed fraction to get 9³/₇
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x = 3 over 5 + y = 1 over 3 x z = 2 and 4 over 5
could you please re post the question clearly as right now I don't understand what this means, you can try just taking a picture of the question and attach it to your post
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Determine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.
25, 34, 43, 52, ...
explain :)
Answer:
205
Step-by-step explanation:
we first enter the desired number equaling the equation, so 21. then we enter the first term and find the common difference, in this case it's going up by 9. then we take the desired term, subtract 1 and we end up with 205 as the 21st term.
21 = 25 + 9 (21 - 1)
A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, find the value of x.
If A is in the interior of NFL. If m/NFA = 5x+10, m/AFL = 30-2x, and m/NFL = 58°, the value of x would be 6
How to determine the valueIt is important to note that the formula for determining the sum of interior angles of a shape is expressed as;
(n-2) 180
Where 'n' is the number of sides
From the information given, we have that the shape has 3 sides, so we have
(3 -2)180
180°
Give the angles as;
m/NFA = 5x+10m/AFL = 30-2x m/NFL = 58°Equate the angles to m/NFL, we have
5x+10 + 30-2x = 58
Now, collect like terms
5x - 2x = 58 - 40
Subtract like terms
3x = 18
Make 'x' the subject by dividing both sides by 3, we have
x = 18/3
x = 6
Thus, the value of 'x' is 3
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Given the function f described by f(x)=8x^2+4x-5 find the function values.
The two solutions of the quadratic function are 0.58 and -1.1.
What is the solution of a quadratic equation?The solution of a quadratic equation can be obtained using the substitution method or formula method.
The solution of the given quadratic function is determined as follows;
f(x) = 8x² + 4x - 5
0 = 8x² + 4x - 5
The formula method of a quadratic function is given as;
[tex]x = \frac{-b \ \ \pm \ \sqrt{b^2 - 4ac} }{2a}[/tex]
from the above equation, a = 8, b = 4, c = -5
[tex]x = \frac{-4 \ \ \pm \ \sqrt{4^2 - 4(8\times -5)} }{2a}\\\\x = \frac{-4 \ \ \pm \ \sqrt{16 + 160} }{2(8)}\\\\[/tex]
x = 0.58 or -1.1
Thus, the function has two solutions, a negative and positive solution.
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If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This mathematical theorem is called what?.
If an experiment with a random outcome is repeated a large number of times, the empirical probability of an event is likely to be close to the true probability. This mathematical theorem is called The Law of Large Numbers.
The Law of Large Numbers states that on the off chance that a test with an irregular result is repeated a huge number of times, the empirical probability of an event is likely to be near the true probability. The bigger the number of redundancies, the closer together these probabilities are likely to be.The law of large numbers does not ensure that a given test, particularly a little test, will reflect the genuine population characteristics or that a test that does not reflect the genuine population will be adjusted by a subsequent sample. The law of large numbers demonstrates a greater test will speak to a population mean, whereas the central tendency theorem states a greater test will speak to a population's distribution.
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Serena’s father tipped a taxi driver $5 for a $25 ride. What was the percent of the tip that he paid?
The percentage of the tip that Serena's father paid was 20%.
What is a percentage?Mathematically, a percentage is a numerical ratio, usually expressed as a fraction of 100 and denoted by the percent sign (%).
Percentages show the proportional relationship between two fractions, like proportions and ratios.
The amount of the tip = $5
The cost of the ride = $25
The total amount paid by Serena's father = $30 ($5 + $25)
The percentage of tip to the ride's cost = The amount of the tip divided by the cost of the ride.
= 20% ($5/$25 x 100)
Thus, in percentage terms, the amount that Serena's father tipped the taxi driver is 20% of the ride's actual cost.
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What do the following two equations represent?
Choose 1 answer:
A.The same line
B.Distinct parallel lines
C.Perpendicular lines
D.Intersecting, but not perpendicular lines
Answer:
D
Step-by-step explanation:
[tex]2x-12y=24 \\ \\ x-6y=12 \\ \\ 6y-x=-12 \\ \\ 6y=x-12 \\ \\ y=\frac{1}{6}x-2[/tex]
The slopes of the lines are neither the same nor are they negative reciprocals, so the answer is D.