Answers
24. The price of the motorcycle before tax was $11,500. 25. the instructor earns $28.75 per class after the raise. 26. the sum that Kay and Shay paid, including tax, was $28.62.
Describe Equation?An equation is a mathematical statement that asserts that two expressions are equal. Equations are used to represent relationships and constraints between variables, and are commonly used in many fields of science, engineering, and mathematics.
An equation consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). Each side of the equation can contain numbers, variables, mathematical operations (such as addition, subtraction, multiplication, and division), and parentheses.
The goal of solving an equation is to determine the value(s) of the variable(s) that make the equation true. This is typically done by applying mathematical operations to both sides of the equation in order to isolate the variable on one side and simplify the expression on the other side.
24. Let the price of the motorcycle before tax be represented by x. Then, we can write an equation based on the given information:
0.125x = 1437.50
Solving for x, we get:
x = 1437.50 / 0.125 = $11,500
Therefore, the price of the motorcycle before tax was $11,500.
25. The instructor now earns 115% of $50, or:
$50 x 1.15 = $57.50
Since this is the amount earned for teaching 2 classes, the amount earned per class after the raise is:
$57.50 / 2 = $28.75
Therefore, the instructor earns $28.75 per class after the raise.
26. To find how much Kay paid, we first need to calculate the tax:
0.08 x $14.50 = $1.16
So the total amount Kay paid was:
$14.50 + $1.16 = $15.66
Similarly, the tax Shay paid was:
0.08 x $12 = $0.96
So the total amount Shay paid was:
$12 + $0.96 = $12.96
Therefore, the sum that Kay and Shay paid, including tax, was:
$15.66 + $12.96 = $28.62
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Related Questions
if m this is so confusing
Answers
BDC = 235
Solve for x pleaseeee fast
Answers
Answer:
x = 76
Step-by-step explanation:
-4( x - 26 ) = -200
-4x + 104 = -200
-4x = -304
x = 76
Hopefully this helps!
Brainliest please?
the value of x is 76
\( - 4(x - 26) = - 200\)
\( - 4x + 104 = - 200\)
\(104 + 200 = 4x\)
\(304 = 4x\)
\( \frac{304}{4} = x\)
\(x = 76\)
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
Answers
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
minutes 30 seconds. At these rates, after 10 minutes of running, the distance Barbara has run is
what fractional part of Liad's?
Answers
Answer:
2/3rds of liad's run
Step-by-step explanation:
3 min 45s = 3 3/4 min = 15/4 min; 10/(15/4) = 8/3 laps
2min 30s = 2 1/2 min = 5/2 min; 10/(5/2) = 4 laps
(8/3)/4 = 2/3
Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann
Answers
keiko: 4
ann: 5
keiko drive the fastest
Which algebraic rule describes the translation of quadrilateral ABCD to quadrilateral A’B’C’D?
Answers
The algebraic rule that best describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is P'(x, y) = (x + 8, y + 7). (Correct answer: A)
How to determine the translation of a quadrilateral on a Cartesian plane
According to the image attached we understand that the quadrilateral ABCD is transformed into quadrilateral A'B'C'D' by applying pure translation. Translations are a kind of rigid transformation, defined as a transformation applied on a geometric locus such that Euclidean distance is conserved at every point of the construction.
Vectorially speaking, translations are described by the following formula:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vector.By direct comparison, we conclude that the quadrilateral ABCD is translated 8 units in the +x direction and 7 units in the +y direction. Hence, the algebraic rule that describes the translation of quadrilateral ABCD to quadrilateral A'B'C'D' is:
P'(x, y) = (x, y) + (8, 7)
P'(x, y) = (x + 8, y + 7)
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Rearrange b = c + xd to make x the subject of the formula.
Answers
Answer: x = (b-c)/d
Step-by-step explanation:
xd + c = b
xd = b-c
x = b-c/d
Please answer this question as soon as possible I will make mark your answer brainlist. ThankYou
Answers
Answer:
i was a able to do 1 3 and 4 but i am not sure for number 2
1). $6
3). $40
4).$32
Step-by-step explanation:
What is the slope of the line graphed below?
Answers
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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Determine whether each ordered pair is a solution of the equation y=2x+6
Answers
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?
Answers
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answers
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
Como sacar una taza de porcentaje
Answers
Answer:
La tasa de porcentaje resulta de la división del valor de porcentaje (el dividendo) entre el valor base (el divisor) multiplicado por 100 %.
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
Answers
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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2. If there are 95 pencils and 45 erasers in the box, what is the simplified ratio of erasers to pencils? LED
Answers
Answer:
The simplified ratio is 19:9.
Step-by-step explanation:
Answer:
19:9
Step-by-step explanation:
First, make it a fraction. 95/45. Then simplify by 5.
SHOW WORK!!
The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond? (10 points)
A. 225
B. 500
C. 750
D. 900
Answers
If he puts 300 sunfish into the pond, he will put 225 perch in the pond.
What is a ratio?A ratio is the comparison of one thing to another. Generally, ratios compares value.
They store the children pond keeping a ratio of 4 sunfish to 3 perch. Therefore, the ratio of sunfish to perch will be as follows
4:3If he 300 sunfish into the pond , the number of perch that will be in the pond can be calculated as follows:
4 / 3 = 300 / xcross multiply
4x = 900
x = 900 / 4
x = 225
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what is the volume of the cylinder below height 15 radius 11
Answers
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
4. In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 12 hours. Write a function showing the number of bacteria after t hours, where the hourly growth rate can be found from a constant in the function.
Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per hour, to the nearest hundredth of a percent.
Answers
The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.
To represent the number of bacteria after t hours, we can use the exponential growth formula:
N(t) = N₀ * (1 + r)^t,
where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.
In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:
r = 2^(1/t_double) - 1,
where t_double is the doubling time in hours.
Substituting the given values, we have:
r = 2^(1/12) - 1 ≈ 0.0592.
Now we can write the function for the number of bacteria after t hours:
N(t) = 5300 * (1 + 0.0592)^t.
To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:
percentage_growth = r * 100 ≈ 5.92%.
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the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian
Answers
Answer:
\(Probability =0.1744\)
Step-by-step explanation:
Given
Total
\(American = 11\)
\(Canadian = 18\)
Selection
\(American = 0\)
\(Canadian = 4\)
Required
Determine the probability of selecting a 4 committee member that are Canadian.
First, we calculate total possible selection.
\(Total = American + Canadian\)
\(Total = 11 + 18\)
\(Total = 27\)
Number of ways to select 4 from 27 is:
\(^{27}C_4 = \frac{27!}{(27-4)!4!}\)
\(^{27}C_4 = \frac{27!}{23!4!}\)
\(^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}\)
\(^{27}C_4 = \frac{27*26*25*24}{4!}\)
\(^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}\)
\(^{27}C_4 = \frac{421200}{24}\)
\(^{27}C_4 = 17550\)
Next, we calculate ways of selecting 4 Canadians from 18 is:
\(^{18}C_4 = \frac{18!}{(18-4)!4!}\)
\(^{18}C_4 = \frac{18!}{14!4!}\)
\(^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}\)
\(^{18}C_4 = \frac{18*17*16*15}{4!}\)
\(^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}\)
\(^{18}C_4 = \frac{73440}{24}\)
\(^{18}C_4 = 3060\)
The required probability is:
\(Probability =\frac{3060}{17550}\)
\(Probability =0.1744\)
Can someone tell me how i find this problem?
Answers
Answer:
9.80
Step-by-step explanation:
x²=14²-10² = 196-100 = 96
x=√96 = √(16*6 ) = 4*√6 =4*2.45=9.80
Which one is the answer.
Answers
Divide by 3 on both sides
C 5 > 7/3
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
Answers
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answers
Answer:
4*9
Step-by-step explanation:
It's obvious.
which of the following is equal to the rational expression?
Answers
Answer:
d
Step-by-step explanation:
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have a great day/night
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For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
Answers
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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18. What is the value of x in the right triangle? 9 х A) 7 B) 777 C) 785 D) V7
Answers
Given a right-angled triangle
Where
\(\begin{gathered} \text{Hyp}=\text{Hypotenuse}=9\text{ units} \\ \text{Adj}=\text{Adjacent}=2\text{ units} \\ \text{Opp}=\text{Opposite}=x\text{ units} \end{gathered}\)The value of x can be deduced by using the Pythagorean theorem
The formula of the Pythagorean theorem is
\(\text{Hyp}^2=\text{Opp}^2+\text{Adj}^2\)\(9^2=x^2+2^2\)Solve for x
\(\begin{gathered} 9^2=x^2+2^2 \\ 81=x^2+4 \\ \text{Collect like terms} \\ x^2=81-4 \\ x^2=77 \\ \text{Square of both sides} \\ \sqrt[]{x^2}=\sqrt[]{77}^{} \\ x=\sqrt[]{77}\text{ units} \end{gathered}\)Hence, the answer is option B
Which function is represented by this graph?
-10 -8 -6 -4 -2
-10
-2
-6
-8
-10
2
4
6
8
10
Answers
The standard absolute value graph has been shifted 7 units to the right and 3 units down to get this graph.
That means we have answer B: f(x) = | x - 7 | - 3
Remember that the left-right shifts are opposite from what they would appear to be in the equation.
| x - 7 | shifts it right 7 units.
| x + 7 | shifts it left 7 units.
Question 6
10 pts
Solve for x.
119°
(5x - 72°
(3x – 4)º
Please help
Answers
Answer:
x = 9
Step-by-step explanation:
Angles in a triangle add up to 180°.
Step 1: Set up equation
119 + 3x - 4 + 5x - 7 = 180
Step 2: Solve for x
Combine like terms: 8x + 108 = 180Subtract 108 on both sides: 8x = 72Divide both sides by 8: x = 9Find the quotient.
(6x ^2 + 23x + 20) ÷ (5 + 2x)
a) 3x - 4
b) 3x + 4
c) 3x +19
Answers
Answer:
3x+4
Step-by-step explanation: