Answer: 442
Step-by-step explanation: volume is length x width x height
so plug it in to get 17 x 13 x 2 = 442
( 25 points) I need help with 3 and 4
Answer:
10,00 for 3.
4. 72
Step-by-step explanation:
Answer:
3) 10,000 stacks
4) 84 inches
Step-by-step explanation:
3)
1,000,000 / 100 = 10,000
4)
7ft x 12in/foot = 84 inches
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
\(y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line\)
why is the order you use to name polygons important when writing a congruency statement?
Answer:
When stating that two triangles are congruent, use a congruence statement. The order of the letters is very important, as corresponding parts must be written in the same order. Notice that the congruent sides also line up within the congruence statement. One congruence statement can always be written six ways.
Step-by-step explanation:
the ___ two sets is the set of elements but could be found in both sets at the same time
Answer:
The answer is
Intersection
Hope this helps
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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A car travels at a constant velocity of 84 km/hr. How far would the car travel in 20 minutes?
d=vt
d=84 km/hr x 2/6 hr
d = 28 km
Among a group of students studying Pascal, COBOL, or FORTRAN, 49 are studying Pascal, 37 are studying COBOL, and 21 are studying FORTRAN. If 9 are studying Pascal and COBOL, 5 are studying Pascal and FORTRAN, 4 are studying COBOL and FORTRAN, and 3 are studying Pascal, COBOL and FORTRAN, how many students are in this group
The total number of students in the group can be determined by adding the number of students studying each programming language and subtracting the overlapping counts.
We are given the number of students studying Pascal, COBOL, and FORTRAN, as well as the number of students studying multiple programming languages.
Number of students studying Pascal (P) = 49
Number of students studying COBOL (C) = 37
Number of students studying FORTRAN (F) = 21
Number of students studying Pascal and COBOL (P ∩ C) = 9
Number of students studying Pascal and FORTRAN (P ∩ F) = 5
Number of students studying COBOL and FORTRAN (C ∩ F) = 4
Number of students studying Pascal, COBOL, and FORTRAN (P ∩ C ∩ F) = 3
To find the total number of students, we need to add the counts of students studying each language: P + C + F. However, we need to account for the overlapping counts. Therefore, we subtract the students studying multiple programming languages (P ∩ C + P ∩ F + C ∩ F) and add back the students studying all three (P ∩ C ∩ F).
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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.
Complete the following proof.
Given: mXOY = m WOV
m = m
Prove: m = m
We have so established that m and m are equal as As congruent angles also referred to as vertical angles are formed when two lines connect.
what is angles ?The degree of rotation between two lines, rays, or segments that have a common endpoint is measured in mathematics as an angle. Angles are categorised in geometry according on how much they are rotated. Angles that are less than 90 degrees are referred to as acute angles, those that are precisely 90 degrees are referred to as right angles, those that are between 90 and 180 degrees are referred to as obtuse angles, and those that are exactly 180 degrees are referred to as straight angles.
given
We can write: since mXOY = mWOV.
mWOV - m = mXOY - m
This can be stated simply as:
OXY = OWV
As congruent angles—also referred to as vertical angles—are formed when two lines connect, we can state:
OXY = MOVY.
Therefore:
mOVW mOVY
And:
mOYX = mOXY
Therefore:
mOYX = mOVY
Finally:
OYX = OWV
We thus have:
m = m
We have so established that m and m are equal as As congruent angles also referred to as vertical angles are formed when two lines connect.
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40 12 40
Cost $74 $27 $76
Part A: Calculate the corresponding unit rate for each package
a. The corresponding unit rate of Dog Cakes, Bark Bits, and Woofy Waffles for each package is $1.85 per pound, $2.25 per pound, and $1.90 per pound respectively.
b. The best buy using the unit rates found in Part A is $1.85 per pound.
Part A: We divide the cost by the size to determine the unit pricing for each package.
Dog Cakes: The unit price is $74 divided by 40 pounds or $1.85 per pound.
Bark Bits: $27 divided by 12 pounds equals $2.25 per pound.
Unit pricing for Woofy Waffles is $76 divided by 40 pounds or $1.90 per pound.
Part B: We compare unit pricing to get the best purchase. The greatest deal is the package with the lowest unit price. The greatest deal in this situation is Canine Cakes, which has the lowest unit price at $1.85 per pound.
Even though Canine Cakes and Woofy Waffles have the same size (40 pounds), Canine Cakes has a cheaper unit rate than Woofy Waffles. The product with the highest unit rate is Bark Bits, making it the most costly per pound. Canine Cakes is the greatest purchase based on unit prices.
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The question is -
Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.
Canine Cakes Bark Bits Woofy Waffles
Size (pounds) 40 12 40
Cost $74 $27 $76
Part A: Calculate the corresponding unit rate for each package.
Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.
What property was used in step 1 to arrive at step 2? Step 1: 5 (x minus 7) = 55. Step What property was used in step 1 to arrive at step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equality2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equalityWhat property was used in step 1 to arrive at step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equalityv
The property which was used in step 1 to arrive at step 2 is: A. distributive property.
What is the distribution property?The distributive property states that when the sum of two (2) or more addends are multiplied by a number, the same output is produced as when each addend is multiplied respectively by the number, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
x(y + z) = xy + xz.
By applying the distributive property of multiplication to step 1, we have:
5(x - 7) = 55.
5x - 35 = 55
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Complete Question:
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
A.) Distributive property.
Step-by-step explanation:
What would be the result of executing the following code?
int[] x = {0, 1, 2, 3, 4, 5};
Group of answer choices
A-An array of 6 values, all initialized to 0 and referenced by the variable x will be created.
B-An array of 6 values, ranging from 0 through 5 and referenced by the variable x will be created.
C-The variable x will contain the values 0 through 5.
D-A compiler error will occur.
The result of executing the given code is (B) an array of 6 values, ranging from 0 through 5, will be created and referenced by the variable x.
The code `int[] x = {0, 1, 2, 3, 4, 5};` is initializing an array of integers named `x`. The values inside the curly braces represent the elements of the array. In this case, the values are 0, 1, 2, 3, 4, and 5.
Option (A) is incorrect because the values in the array are not all initialized to 0. Instead, each value corresponds to its respective position in the array.
Option (C) is also incorrect because the variable `x` does not directly store the values 0 through 5. Instead, `x` is a reference to the array that contains those values.
Option (D) is not applicable as the code provided is syntactically correct and will not result in a compiler error.
Therefore, the correct answer is (B) - an array of 6 values, ranging from 0 through 5, will be created and referenced by the variable `x`.
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Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?
A. 4/9
B. 5/6
C. 7/8
D. 5/8
Answer:
7/8
Step-by-step explanation:
Since the only case where we don't get a head is TTT. And in all other cases, there is at least 1 head, so the probability of getting at least one head is 7/8 ( we get at least one head in 7 out of 8 cases)
Additive inverse of -0.5
Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
A bus comes to a station once every 10 minutes and waits at the station for 3 minutes. Assume that you arrive at the station at a random time. Express the probability as a decimal. Find the probability that you will have to wait more than 6 minutes to board a bus.
The time between buses is 10 minutes and the bus waits at the station for 3 minutes, so the time between the departure of one bus and the departure of the next bus is 10 + 3 = 13 minutes.
Since you arrive at a random time, the time you have to wait for the next bus can be any number from 0 to 13 minutes, with each value between 0 and 13 being equally likely.
The probability that you will have to wait more than 6 minutes to board a bus is the probability that you arrive at the station between 0 and 7 minutes after a bus has left.
This is because if you arrive at the station more than 7 minutes after a bus has left, you will have to wait less than 6 minutes for the next bus to arrival time.
The probability that you arrive at the station between 0 and 7 minutes after a bus has left is 7/13, or approximately 0.538.
Therefore, the probability that you will have to wait more than 6 minutes to board a bus is approximately 0.462 (1 - 0.538).
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Alicia owns 3/4 of a section of land. She plants pumpkins on 2/3 of her land. What fraction of the entire section is planted with Alicia's pumpkins?
Answer:
0.8
Step-by-step explanation:
FIRST AND LAST YOU SUBTRACT
this is similar to section 4.2 problem 30: determine the indefinite integral. use capital c for the free constant. ( −1 x4 − 2 x ) dx = incorrect: your answer is incorrect. .
The correct indefinite integral of (-1x^4 - 2x) dx is -1/5 * x^5 - 2x + C, where C represents the constant of integration.
Based on the given information, the problem is to determine the indefinite integral of the expression (-1x^4 - 2x) dx, using capital C for the free constant.
It appears that the previous answer given for this problem was incorrect.
To solve this problem, we need to use the rules of integration, which include the power rule, constant multiple rule, and sum/difference rule.
The power rule states that the integral of x^n is (x^(n+1))/(n+1), where n is any real number except -1.
The constant multiple rules state that the integral of k*f(x) is k times the integral of f(x), where k is any constant. The sum/difference rule states that the integral of (f(x) + g(x)) is the integral of f(x) plus the integral of g(x), and the same goes for subtraction.
Using these rules, we can break down the given expression (-1x^4 - 2x) dx into two separate integrals: (-1x^4) dx and (-2x) dx.
Starting with (-1x^4) dx, we can use the power rule to integrate: (-1x^4) dx = (-1 * 1/5 * x^5) + C1, where C1 is the constant of integration for this integral.
Next, we can integrate (-2x) dx using the constant multiple rule: (-2x) dx = -2 * (x^1/1) + C2 = -2x + C2, where C2 is the constant of integration for this integral.
To get the final answer, we can combine the two integrals: (-1x^4 - 2x) dx = (-1 * 1/5 * x^5) + C1 - 2x + C2 = -1/5 * x^5 - 2x + C, where C is the combined constant of integration (C = C1 + C2).
We can simplify this expression by using capital C to represent the combined constant of integration, giving us:
(-1x^4 - 2x) dx = -1/5 * x^5 - 2x + C
Therefore, the correct indefinite integral of (-1x^4 - 2x) dx is -1/5 * x^5 - 2x + C, where C represents the constant of integration.
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Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
The skirt was originally 24 dollars
Step-by-step explanation:
3/4 ( b+s) = 31.50
where b is the original price of the blouse and s is the original price of the skirt
b = 18
3/4 ( 18+s) = 31.50
Multiply each side by 4/3
4/3 * 3/4 ( 18+s) = 31.50 *4/3
18+s =42
Subtract 18 from each side
18+s-18 = 42-18
s =24
The skirt was originally 24 dollars
3.1 (3 points) Given the following infix expression, draw an expression tree and re-write this expression in prefix and postfix forms. Infix expression: (A − B) + C * (D / E)
The infix expression given is (A-B)+C*(D/E)
Steps to draw the expression tree
The order of operations should be considered while drawing the expression tree.
The following steps are followed:
First, draw a node for the operator with the highest precedence,
which is multiplication (symbol *).Second,
draw nodes for the other operators, in the order of their precedence, which is division (symbol /), and addition (symbol +).
Third, draw the leaf nodes for the operands in the order that they appear in the infix expression.
A B CD E- /* + Steps to re-write in prefix form
The prefix form of the infix expression is obtained by traversing the expression tree in the pre-order fashion.
That is, the operator is written before its operands.
The prefix form of the infix expression (A-B)+C*(D/E) is obtained as follows:+ - A B * C / D E
Steps to re-write in postfix form
The postfix form of the infix expression is obtained by traversing the expression tree in the post-order fashion.
That is, the operator is written after its operands.
The postfix form of the infix expression (A-B)+C*(D/E) is obtained as follows: A B - C D E / * +
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GUYS PLS HELP DUE IN 20 MINUTES!!!!!
What is 0.01666666666 rounded to the 2 decimal places??
Answer:
it is 0.02
Step-by-step explanation:
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer:
Answer:
(5, 20)
Step-by-step explanation:
We can find the slope of the line
m = (y2-y1)/(x2-x1)
= (40-0)/(10-0)
= 40/10
=4
Since the line goes through (0,0) the y intercept is 0
y = mx+b
y = 4x
Lets check the points by substituting into the equation
40, 10) 10 = 4*40 10 =160 no
(–5, –10) -10 = 4*-5 10 = -20 no
(5, 20) 20 = 4*5 20 = 20 yes
(–10, –20) -20 = 4*-10 -20 = -40 no
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer
c
Step-by-step explanation:
egde2020
A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply. (12, 3) (-2,-5) +(-3, 1) O (1, 15) (5,-2)
Answer:
(-3, 1) (5,-2)Step-by-step explanation:
Given a line withThe point (0, 1) on itA positive slopeTo find The point from the list that is not on the same lineSolutionSlope formula is m = (y2 - y1)/(x2 - x1)Using one given point, we get the slope:
m = (y - 1)/(x - 0)m = (y - 1)/x and m > 0Let's verify the answer choicesPoint (12, 3)
m = (3- 1)/12 = 2/12 > 0, yes, on the linePoint (-2,-5)
m = (-5 - 1)/( -2) = 3 > 0, yes, on the linePoint (-3, 1)
m = (1 - 1)/(-3) = 0, no, not on the linePoint (1, 15)
m = (15 - 1)/1 = 14 > 0, yes, on the linePoint (5,-2)
m = (-2 - 1)/5 = -3/5 < 0, no, not on the lineAnswer:
answer in picture
Step-by-step explanation:
(close reading) Which letter is angrier?Find a quote to support your claim
I think that Jefferson's letter is angrier.
Why do I think so?I think this because you can kind of tell from the first sentences of both letters, Hamilton is kinder when he says, "Sir: --I have the pleasure of your private letter on the 26th of August."
However, Jefferson says something not really rude, but not as respectful than Hamilton to the President. He says, "DEAR SIR, I received your letter of August 23rd."
The two letters in question here is the letters written by both Alexander Hamilton and Thomas Jefferson to the President about the war between France and Britain.
Because he supported America throughout the Revolutionary War, Jefferson supported France. Hamilton supported the British because he believed it would facilitate trade.
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Evaluate the line integral, where
C
is the given curve.
∫ xyds,C:x2,y=2t,0≤t≤2
C
According to the given information the line integral is 8(1+125\(\sqrt{110}\)) / 15 .
What distinguishes a line integral from a definite integral?
Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.
\(\int\limits_c {xy} \, ds\), C : x = t^2 , y = 2t, 0 ≤ t ≤ 3
x' = 2t , y' = 2
ds = \(\sqrt{(x')^2 + (y')^2}\)
\(\sqrt{4(t)^2 + 4}\)
\(\int\limits C {xy} \, ds\) = \(\int\limits^3_0 {2.2t.2\sqrt{1+t^2}} \, dt\)
t = tanθ
dt = (1+\(tan^{2}\)θ)dθ = (\(sec^{2}\)θ)dθ
= \(\int\limits^3_0 {4t^3\sqrt{1+t^2} } \, dt\)
= 8(1+125\(\sqrt{110}\)) / 15
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Which one is correct
Answer:
Bart is correct
Step-by-step explanation:
a set of data is normally distributed with a mean equal to 10 and a standard deviation equal to 3. calculate the z score for each of the following raw scores
The z-score is a standardized score that tells us how many standard deviations a data point is away from the mean. It is calculated as:
z = (x - mu) / sigma
where x is the raw score, mu is the mean, and sigma is the standard deviation.
For a normally distributed set of data with a mean of 10 and a standard deviation of 3, the z-score for each of the following raw scores would be:
x = 7
z = (7 - 10) / 3 = -1
The z-score for a raw score of 7 is -1.
x = 12
z = (12 - 10) / 3 = 0.67
The z-score for a raw score of 12 is 0.67.
x = 16
z = (16 - 10) / 3 = 2
The z-score for a raw score of 16 is 2.
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Which expression is equivalent to 1/4(3x+4y) + 3(1/4x+ 2/3y)
The expression is equivalent is 6x/4 + 24y/12
What are algebraic expressions?
Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.
These expressions also consisting of mathematical operations, such as;
AdditionParenthesesDivisionSubtractionMultiplicationFloor division, etcGiven the expression;
1/4(3x+4y) + 3(1/4x+ 2/3y)
expand the bracket
3x/4 + 4y/4 + 3/4x + 3/3y
collect like terms
3x/4 + 3/4x + 4y/4 + 3/3y
add like terms
3x + 3x/4 + 12y + 12y /12
add the numerators
6x/4 + 24y/12
Hence, the expression is 6x/4 + 24y/12
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Simply the expression: 3^-8 X 3^4
Answer:
Exact Form:
1
81
Decimal Form:
0.01234567
…
Step-by-step explanation:
A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489
Answer: C. 15x + 12y = 489
Step-by-step explanation: Got it right on edge test
Answer:
C
Step-by-step explanation:
15x+12y=489