Cindy paid the cashier a total of $6.90 for the three candy bars, including taxes.
What is expression ?
Expressions can be used to represent various mathematical concepts and relationships, and they are used extensively in algebra, calculus, and other branches of mathematics.
To calculate the total cost of the candy bars with taxes, we need to first find the cost of each candy bar and then add up all three costs.
The cost of the Giant Kit Kat is $3.59, but we need to add 9% tax to get the total cost:
$3.59 + 0.09($3.59) = $3.91 (rounded to the nearest cent)
The cost of the Mini Snickers is $0.75, but we need to add 9% tax to get the total cost:
$0.75 + 0.09($0.75) = $0.82 (rounded to the nearest cent)
The cost of the Twix TENDO is $1.99, but we need to add 9% tax to get the total cost:
$1.99 + 0.09($1.99) = $2.17 (rounded to the nearest cent)
Now we can add up the total cost:
$3.91 + $0.82 + $2.17 = $6.90
Therefore, Cindy paid the cashier a total of $6.90 for the three candy bars, including taxes.
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Brendon is building a clubhouse where 1 inch on the plans is equivalent to 8 inches on the actual clubhouse.
If the clubhouse is to be 126 inches wide, what will the width be on the plans?
Round answer to the nearest hundredth if necessary.
Answer:
To find the width of the clubhouse on the plans, we need to use the given scale of 1 inch on the plans being equivalent to 8 inches on the actual clubhouse. Let's assume that "x" inches on the plan correspond to the actual width of 126 inches of the clubhouse.
Using the proportionality of the scale, we can set up the following equation:
1 inch / 8 inches = x inches / 126 inches
Simplifying the equation, we can cross-multiply to get:
8 inches * x inches = 1 inch * 126 inches
8x = 126
x = 15.75
Therefore, the width of the clubhouse on the plans is 15.75 inches.
Just number 9 with work
The correct answer is (c) Left 5. The transformation is a horizontal shift to the left by 5 units.
What is equation?An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.
Here,
The given equation is y = 12/(x + 5), which represents a rational function. The parent function for this type of function is y = 1/x, which has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.
To transform the parent function represented by y = 1/x into y = 12/(x + 5), we need to apply the following transformations:
Vertical stretch by 12: This means that the y-values of the graph will be multiplied by a factor of 12, causing the graph to become narrower and taller. Horizontal shift left 5 units: This means that the graph will be shifted 5 units to the left, causing the vertical asymptote to move from x = 0 to x = -5.
Therefore, the correct answer is (c) Left 5, since this represents the horizontal shift of 5 units to the left. The other answer choices do not accurately describe the transformation of the parent function into the given equation.
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8 books cost 19.60 which equation would help determine the cost of 10 books?
Answer: $24.5
Step-by-step explanation:
8 Books = $19.60
1 Book = $19.60/8 = $2.45
10 Books = $2.45 X 10 = $24.5
Answer:
E none of the above
Step-by-step explanation:
a correct equation would be:
8/19.60 = 10/x
or
19.60/8 = x/10
2 2/5 as an improper fraction in simplest form
Answer: 12/5
Step-by-step explanation:
If I get paid $12.50 an hour and I worked a total of 15 hours and 35 minutes how much did I make?
Answer: $194.79
Step-by-step explanation:
It is easiest to approach this question in two parts.
First part is simple - multiply the wage per hour times the number of whole number you have worked. ($12.50)(15) = $187.50
Next you need to find how much you make in 35 minutes at a wage rate of 12.50 an hour. You can set up a ratio to find this out -
($12.50) | (60 min) - (x dollars) | (35 min)
then cross multiply and divide - (12.5 * 35) / 60 = 7.291
This means you make $7.29 for 35 minutes of work.
$187.50 + $7.29 = $194.79 for 15 hours 35 minutes of work.
(this is based on a per minute/hour scale)
(x^2-4x+3) + (3x^2-3x-5) ASAP PLS
Answer:
(x - 2)(4x + 1)
The entry fee to East Egg Hunt Event is $7.00. Each ride requires a ticket that cost $2.00. Cassie spent a total of $45.00. How many tickets Cassie Purchase?
Answer: 19 tickets
Step-by-step explanation: $45 - $7 = 38 38 divided by $2 = 19 tickets
if AC = 57, find the measure of AB
Answer choices:
A. 9
B. 30
C. 6
D. 27
Helppppppppppppppppp
How many solutions and what is the solution, as an ordered pair?
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
what is solution ?A value or combination of values that satisfy an equation, inequality, system of equations, or system of inequalities are known as solutions in mathematics. Take the equation x2 - 3x + 2 = 0, for instance. This equation has a solution in the form of an x value that makes the equation true. The quadratic formula allows us to determine that this equation has two solutions, x = 1 and x = 2. According to this, a solution for a system of equations is a set of values that simultaneously satisfy every equation in the system. Mathematical problem-solving, which has many applications in areas like engineering, physics, economics, and more, is a crucial component of the subject.
given
We must identify the point(s) at where the two lines intersect in order to obtain the solution(s) to the system of equations depicted by the graph. The graph demonstrates that the lines cross at the location (-3, 3).
Hence, there is only one answer, which is (-3, 3) as the two lines intersect in order to obtain the solution(s) to the system of equations.
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Decide if each statement is true or false and explain.
All rectangles are quadrilaterals.
Answer: True
Step-by-step explanation:
They have four sides
Answer:true.
Step-by-step explanation: All Rectangles are indeed quadrilaterals because all rectangles have 4 sides and quadrilaterals are known as a four sided shape,
circumference is 1884, what is the diameter
Answer: how many places are you looking for? because it would be around 599.696332...(and more decimal numbers)
you get this from dividing 1884 by 3.14159 (pi)
The maximum number of grams of fat that should be in a diet vary directly as a persons way a person weighing 126 pounds should have no more than 84 g of fat per day. What is the maximum daily intake for personally and 30
ponds
PLEASE HELP ME
Given the following quadratic functions, complete the following:
1. Identify the zeros.
2. Identify the vertex.
3. Write the quadratic equation in factored form for the function that is graphed.
The zeros and vertex of each quadratic equation are:
Case 1: y = 4 · (x + 2) · (x - 2), Roots: - 2, 2, Vertex: (0, - 16)
Case 2: y = (1 / 2) · (x + 5) · (x - 3), Roots: - 5, 3, Vertex: (- 1, - 8)
Case 3: y = - 2 · (x + 4) · (x + 2), Roots: - 4, - 2, Vertex: (- 3, 2)
Case 4: y = - 2 · (x + 6) · (x + 2), Roots: - 6, - 2
Vertex: (- 4, 8)
How to analyze quadratic functions and derive their expressions
Graphically speaking, quadratic functions have the form of the parabola. The zeros are the points of parabola that are on the horizontal axis (x-axis) and the vertex is the only point of the parabola. The factor form of the parabola is:
y = C · (x - r₁) · (x - r₂)
Where:
C - Vertex constantr₁, r₂ - RootsNow we proceed to determine all the features of the quadratic function:
Case 1
Roots: r₁ = - 2, r₂ = 2
Vertex: (h, k) = (0, - 16)
C = y / [(x - r₁) · (x - r₂)]
C = - 16 / [2 · (- 2)]
C = - 16 / (- 4)
C = 4
Factor form: y = 4 · (x + 2) · (x - 2)
Case 2
Roots: r₁ = - 5, r₂ = 3
Vertex: (h, k) = (- 1, - 8)
C = y / [(x - r₁) · (x - r₂)]
C = - 8 / [(- 1 + 5) · (- 1 - 3)]
C = - 8 / [4 · (- 4)]
C = - 8 / (- 16)
C = 1 / 2
Factor form: y = (1 / 2) · (x + 5) · (x - 3)
Case 3
Roots: r₁ = - 4, r₂ = - 2
Vertex: (h, k) = (- 3, 2)
C = y / [(x - r₁) · (x - r₂)]
C = 2 / [(- 3 + 4) · (- 3 + 2)]
C = 2 / [1 · (- 1)]
C = - 2
Factor form: y = - 2 · (x + 4) · (x + 2)
Case 4
Roots: r₁ = - 6, r₂ = - 2
Vertex: (h, k) = (- 4, 8)
C = y / [(x - r₁) · (x - r₂)]
C = 8 / [(- 4 + 6) · (- 4 + 2)]
C = 8 / [2 · (- 2)]
C = 8 / (- 4)
C = - 2
Factor form: y = - 2 · (x + 6) · (x + 2)
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What is the answer to x3 y3 z3 k?
Answer:
The equation x3+y3+z3=k is known as the sum of cubes problem.
Step-by-step explanation:
A primary credit card holder's card has an APR of 11.99%. The current monthly balance, before interest, is $7,568.19. The cardholder makes a payment of $350 the first 11 months and then pays off the balance at the end of the 12th month. How much interest did the credit card holder pay?
$720.27
$156.34
$370.31
$679.70
The credit card holder paid $720.27 in interest over the 12 months. Answer choice A, $720.27, is the correct answer.
What is simple interest?
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
First, let's calculate the monthly interest rate by dividing the APR by 12:
11.99% / 12 = 0.99917%
Next, let's calculate the interest paid on the monthly balance for each of the 11 months before the final payment:
Month 1:
Interest = $7,568.19 x 0.99917% = $75.59
Month 2:
Balance = $7,568.19 - $350 - $75.59 = $7,142.60
Interest = $7,142.60 x 0.99917% = $71.38
Month 3:
Balance = $7,142.60 - $350 - $71.38 = $6,721.82
Interest = $6,721.82 x 0.99917% = $67.11
Month 4-11: (follow the same process as above)
Interest for Month 4: $63.82
Interest for Month 5: $60.51
Interest for Month 6: $57.17
Interest for Month 7: $53.80
Interest for Month 8: $50.41
Interest for Month 9: $47.00
Interest for Month 10: $43.56
Interest for Month 11: $40.11
Now, at the end of month 11, the cardholder has a balance of:
$7,568.19 - ($350 x 11) - $75.59 - $71.38 - $67.11 - $63.82 - $60.51 - $57.17 - $53.80 - $50.41 - $47.00 - $43.56 - $40.11 = $1,225.74
Finally, the cardholder pays off the remaining balance of $1,225.74 at the end of month 12. The interest charged for this month would be:
Interest = $1,225.74 x 0.99917% = $12.25
So the total interest paid by the cardholder over the 12 months is:
$75.59 + $71.38 + $67.11 + $63.82 + $60.51 + $57.17 + $53.80 + $50.41 + $47.00 + $43.56 + $40.11 + $12.25 = $720.27
Therefore, the credit card holder paid $720.27 in interest over the 12 months. Answer choice A, $720.27, is the correct answer.
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Triple the sum of K and 2
"Triple the sum of K and 2" can be interpreted as a two-step procedure that involves adding K and 2 first, and then multiplying the result by 3.
What is multiplication?Multiplication is a fundamental arithmetic operation that involves combining two or more numbers to find their product. It is represented by the symbol "x" or "•" or sometimes simply by placing two numbers next to each other.
According to question:"Triple the sum of K and 2" can be expressed mathematically as:
3(K + 2)
This expression represents the value we get by adding K and 2, and then multiplying the sum by 3.
To evaluate this expression, we first add K and 2 together, giving us a sum of (K + 2). Then, we multiply that sum by 3, giving us a final result of 3(K + 2).
As a result, "triple the sum of K and 2" can be interpreted as a two-step procedure that involves adding K and 2 first, and then multiplying the result by 3.
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The full question is How do you write "triple the sum of K and 2" as an expression?
To amend a country’s constitution, 7/9 of the 84 states in that country must approve the amendment. If 66 states approve the amendment, will the constitution be amended?
Answer:
Since only 66 states approve the amendment, it falls short of the required 7/9 majority. Therefore, the constitution will not be amended.
Step-by-step explanation:
To determine whether the constitution will be amended, we need to compare the number of states that have approved the amendment to the required number of states needed for approval.
The requirement is that 7/9 of the 84 states must approve the amendment. So, we need to calculate 7/9 of 84 to find out how many states need to approve the amendment:
(7/9) x 84 = 66.67
Rounding up, we see that 66.67 is equivalent to 67 states. This means that in order for the amendment to be approved, at least 67 states must approve it.
Since only 66 states approve the amendment, it falls short of the required 7/9 majority. Therefore, the constitution will not be amended.
What is the ordered pair that represents the point (-8, 7) after a reflection over the y-axis?
A. (-8, -7)
B. (8,7)
C. (-7,8)
(7,-8) D.
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct option is 1 and 4 of the given inequality –3(2x – 5) < 5(2 – x)
The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:
-6x + 15 < 10 – 5x
x < 5
Therefore, options 1 and 4 are correct. The other options do not correctly represent the inequality.
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The ratio of new car sales to used car sales at the car lot is 3:5. If the total car sales were $287,400 last month, what was the total of the used car sales?
Answer:
Therefore, the total used car sales were $179,625.
Step-by-step explanation:
Let's assume that the ratio of new car sales to used car sales is 3x:5x, where x is a constant.
The total car sales were $287,400, which means the sum of the new car sales and used car sales is $287,400:
3x + 5x = 8x
So, the total sales can be expressed as:
8x = $287,400
To find the value of x, we need to divide both sides by 8:
x = $35,925
Now, we can calculate the used car sales by multiplying 5x by the value of x:
Used car sales = 5x * x = 5 * $35,925 = $179,625
Therefore, the total used car sales were $179,625.
Simplify to create an equivalent expression.
−
4
(
−
11
+
4
n
)
−
3
(
−
2
n
+
9
)
Answer:
Step-by-step explanation:
To simplify this expression, we will distribute the -4 and -3 to the terms inside the parentheses:
-4(-11+4n) - 3(-2n+9)
= 44 - 16n + 6n - 27
= -16n - 17
Therefore, the simplified expression is -16n - 17.
The table shows the results for spinning the spinner 75 times. What is the relative frequency for the event "spin a 4"?The table shows the results for spinning the spinner 75 times. What is the relative frequency for the event "spin a 4"?
Answer:
Answer: 6/25
======================================================
Explanation:
The table shows the spinner lands on "4" exactly 12 times out of the 50 total.
12/50 = (2*6)/(2*25) = 6/25
In decimal form that is 6/25 = 0.24 which converts to 24%
Adrian eats 2/3's of a pack of gum each
day. How many packs of gum will he
have eaten after 7 days?
10 points given!!
19 less than a number is 28
Answer: 47
Step-by-step explanation:
28+19=47
47-19=28
Pupils in a class were asked how they travel to school. The results were recorded in the table below
Car 13 bus 6 train 5 walk 8
If s pupil in the class was picked at random what is the probability that one of them walked to school as a percentage
Answer:
1/3
Step-by-step explanation:
Let f(x) = -3x - 5
What is the value of f(-5)?
Answer:
I think its 10Step-by-step explanation:
In ΔIJK, i = 100 inches, mm∠I=115° and mm∠J=23°. Find the length of j, to the nearest inch.
The measure of the side J of the triangle ΔIJK will be 43 units.
What is the law of sine?The law of sines defines the ratio of triangle sides, and their respective sine angles are equivalent. The law of sines is also known as the sine law, sine rule, and sine formula.
Given that in the triangle i = 100 inches, m∠I=115° and m∠J=23°. The measure of the length J will be calculated as:-
100 / sin115 = J / sin23
J = (100) x sin23 / sin115
J = 100 x 0.43
J = 43 units
The length of side J will be 43 units.
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A normal population has a mean of $76 and standard deviation of $6. You select random samples of 40.
1. What is the probability that a sample mean is less than $75? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
2. What is the probability that a sample mean is between $75 and $77? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
3. What is the probability that a sample mean is between $77 and $78? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
4. What is the probability that the sampling error ( x¯
− μ) would be $1.50 or less? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
Using a z-table, the probability of a z-score less than 1.58 is 0.9429 (rounded to 4 decimal places).
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields such as mathematics, statistics, science, and finance to make predictions and analyze data.
Here,
1. The z-score for a sample mean of $75 is calculated as:
z = (75 - 76) / (6 / √(40)) = -2.36
Using a z-table, the probability of a z-score less than -2.36 is 0.0099 (rounded to 4 decimal places).
2. The z-score for a sample mean of $75 is calculated as:
z1 = (75 - 76) / (6 / √(40))
= -2.36
The z-score for a sample mean of $77 is calculated as:
z2 = (77 - 76) / (6 / √(40))
= 0.79
Using a z-table, the probability of a z-score between -2.36 and 0.79 is 0.8669 (rounded to 4 decimal places).
3. The z-score for a sample mean of $77 is calculated as:
z1 = (77 - 76) / (6 / √(40))
= 0.79
The z-score for a sample mean of $78 is calculated as:
z2 = (78 - 76) / (6 / √(40))
= 1.57
Using a z-table, the probability of a z-score between 0.79 and 1.57 is 0.0823 (rounded to 4 decimal places).
4. The standard error of the mean (SEM) is calculated as:
SEM = standard deviation / sqrt(sample size)
SEM = 6 / √(40) = 0.9487
The z-score for a sampling error of $1.50 is calculated as:
z = 1.50 / 0.9487 = 1.58
Using a z-table, the probability of a z-score less than 1.58 is 0.9429 (rounded to 4 decimal places).
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What is m24 if m25 = (2x)° and m24 = (x +9)°?
4
X
5
m24 =
The value of angle m<4 is 66 degrees
What are supplementary angles?The angles on a straight line are supplementary, this means that the angles sum up to 180 degrees.
From the information given, we have that;
m<4 = x + 9 degreesm< 5 = 2x degreesEquate the angles to 180 degrees
We have;
m<4 + m<5 = 180
Substitute the expression for each of the angles , we have;
x + 9 + 2x = 180
collect the like terms
3x = 180 - 9
subtract the values
3x = 171
Divide by the coefficient
x = 57
But m<4 = 57 + 9 = 66 degrees
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