The initial markup percentage needed for this specialty store buyer is approximately 47.03.The initial markup percentage refers to the amount by which a retailer increases the cost price of a product to determine its selling price.
To calculate the initial markup percentage needed for the specialty store buyer, we need to consider the net sales, expenses, markdowns, shortages, employee discounts, and profit goal.
To calculate the total reductions:
Total Reductions = Markdowns + Shortages + Employee discounts
Total Reductions = $115,000 + $8,880 + $30,400 = $154,280
To calculate the gross sales:
Gross Sales = Net Sales + Total Reductions
Gross Sales = $500,000 + $154,280 = $654,280
To calculate the desired gross margin:
Desired Gross Margin = Gross Sales - Expenses - Profit Goal
Desired Gross Margin = $654,280 - (0.28 * $654,280) - (0.25 * $654,280)
Desired Gross Margin = $654,280 - $183,197.6 - $163,570
Desired Gross Margin = $307,512.4
To calculate the initial markup:
Initial Markup = (Desired Gross Margin / Gross Sales) * 100
Initial Markup = ($307,512.4 / $654,280) * 100
Initial Markup ≈ 47.03
Therefore, the initial markup percentage needed for this specialty store buyer is approximately 47.03.
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5. (30 points) y-function (or y-factor) is commonly used to evaluate the quality of pressure-volume data from constant mass expansion (cme) of oil and gas. Y-function is applied to data in the two-phase region in cme. When y-function is plotted as a function of pressure for the two- phase region, it should be linear or close to being linear. Two sets of cme data are provided in tables 1 and 2. One of them is of low quality because the data were taken with insufficient equilibration time. Apply y-function to the two sets of cme data, and show a plot for each data set. Which one is the low-quality cme data based on your plots?
To apply the y-function to the provided cme data, we need to first calculate the specific volume (v) for each data point using the ideal gas law: v = (RT)/P
where R is the gas constant, T is the temperature in Kelvin, and P is the pressure. We will assume that the gas is ideal and use R = 8.314 J/mol K.
Next, we need to calculate the y-values for each data point using the equation:
\(Y = (v - v_l) /(v_g - v_l)\)
where \(v_l\) and \(v_g\) are the specific volumes of the liquid and gas phases, respectively, at the given pressure and temperature. We will use the following values for \(v_l\) and \(v_g\):
\(v_l = 0.001 (m^3/kg)\\\\v\\_g = 5.0 (m^3/kg)\)
Using the specific volume values and the equation for y, we can calculate the y-values for each data point:
| Pressure (MPa) | Temperature (K) | Specific Volume
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find the number of ways to select 3 pages in ascending index order
The number of ways to select 3 pages in ascending index order depends on the total number of pages available.
To find the number of ways to select 3 pages in ascending index order, we can use the concept of combinations . In combinatorics, selecting objects in a specific order is often referred to as permutations. However, since the order does not matter in this case, we need to consider combinations instead.
The number of ways to select 3 pages in ascending index order can be calculated using the combination formula. Since we are selecting from a set of pages, without replacement and order doesn't matter, we can use the formula C(n, k) = n! / (k! (n-k)!), where n is the total number of pages and k is the number of pages we want to select.
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1-87 Plot the points A(3,2) B(3,6) C(5,4) on a piece of graph paper and translate the figure up 2 units
and left 5 unita.
the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
We are given the coordinates of the points:
A (3 , 2)
B (3 , 6)
C (5 , 4)
We need to plot them on the graph paper.
Now, we need to translate the points 2 units to the up and 5 units to the left.
So, the coordinates will change from ( x , y ) to ( x - 5 , y + 2)
So, we get that:
A (3 , 2) will become A' ( - 2 , 4)
B (3 , 6) will become B' ( - 2 , 8)
C (5 , 4) will become C' ( 0 , 6)
Therefore, we get that, the points will become from ( x , y ) to ( x - 5 , y + 2) and these has been plotted on the graph.
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help needed with this question
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
Solve for x ASAP pls
The angle vertically opposite to angle 130° will be equivalent to 130° since they are vertically opposite angles.
So, the angle corresponding to x+139° will be equivalent to 130°.
Which means :
\( = x+ 139 = 130\)
\( = x = 130 - 139\)
\( =\color{hotpink} x = - 9\)
Therefore, the correct option is :
\(\color{hotpink}\bold{A) -9}\)
80 POINTS AND BRAINLIEST IF THIS IS ANSWERED (WITH STEPS PLS)
The total surface area of the prism is 204 cm²
what is a prism in math?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given here: A prism with triangular base with three of its faces as rectangle and its bases triangles.
Thus total surface area is the sum of areas of all these 5 faces
TSA= Sum of the area of the two slanted rectangles + Sum of the two bases + the sum of the rectangle the prism is resting on in the figure
Now dimensions of the slanted rectangles are given by length =12 and breadth =5 and the dimensions of the last rectangle are length =12 and breadth = 6
∴ TSA= 2×12×5 +1/2 ×6×4 +12×6
= 120+12+72
=204 cm²
Hence, The total surface area of the prism is 204 cm²
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The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
\(39.8^{\circ} C\)
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
\(t(h)=10cos(15h-10)^{\circ}+30\)
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
\(t(0)=10cos(15(0)-10)+30\)
\(t(0)=10cos(-10)+30\)
\(t(0)=39.8^{\circ} C\)
Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)
Do u agree or disagree and why?
Answer:
Erm. i would disagree
Step-by-step explanation:
Because they don't look the same or anything like that.
Answer:
True.
Step-by-step explanation:
This is a right angle. By the using the rule of finding the hypotenuse, the larger the angle, the longer the opposite side of the triangle is.
In this case, since the right angle (90°) is largest angle, the opposite side (Line CD) is the hypotenuse.
With this information, CJ would be the shortest path to the shore, denoted by the points (J & D).
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
Isaac makes china mugs with names painted on them. He charges a fixed fee for the mug, together with a fixed charge for each letter in the name. Penelope buys a mug for each of her children, Alexander and Lucia. She pays $12.60 for Alexander’s mug and $9.40 for Lucia’s mug. How much would Penelope have to pay for a mug with her own name on it?
Answer:
Not completely sure, and I know its late but for the other people that look at this, 11.80$
Step-by-step explanation:
I found how many more letters Alexander had over Lucia, then when I got 4 divided it in-between 12.60 - 9.40 (3.20) I got 0.8. knowing the letter cost i got the initial fee for the mug (5.40) and added 8x0.8 to it, resulting in my answer 11.80$
Penelope has to pay $11.8 for a mug with her own name on it.
Number of letters in Alexander's name = 9
Number of letters in Lucia's name =5
The Difference in the number of letters in both the names
= 9-5
=4 letters
Alexander pays = $12.60
Lucia pays = $9.40
Difference in payments = 12.60-9.40 = $3.20
It means charge for 4 letters = $3.20
So, charge for 1 letter = $0.80
Number of letters in Penelope's name = 8
So, Penelope will pay = 8*0.80 +fixed fee for the mug
= $6.4 +fixed fee for the mug
What will be the fixed fee for the mug?The Fixed fee for the mug will be the payment done by Penelope for either Alexander or Lucia minus the charge for each word in the word Alexander or Lucia respectively.
The Fixed fee for the mug = $9.40 - charge for each word in the word "Lucia"
The Fixed fee for the mug = 9.40 - 5*0.80 = $5.40
So, Penelope will pay = 6.4 +5.4 =$11.8
Therefore, Penelope has to pay $11.8 for a mug with her own name on it.
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how do you solve 6e + 2 - 3e - 5
please write down the steps
If you are looking for a solution, please provide an equation with an equal sign and a value on the other side.
To solve the equation 6e + 2 - 3e - 5, follow these steps:
Step 1: Combine the like terms.
In this equation, the like terms are the terms with the variable "e" (6e and -3e).
6e - 3e = 3e
Now, combine the constant terms (2 and -5).
2 - 5 = -3
Step 2: Rewrite the simplified equation.
After combining the like terms, the simplified equation becomes:
3e - 3
Since there's no equal sign in the given expression, we cannot solve it further as it is not an equation. However, we have simplified it to its simplest form, which is 3e - 3.
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find : a 1/2 of i 2 3/4 ii 4 2/9
1) 2 3÷4 = 11÷4
hence, 11÷8 = 1.37 .
2) 4 2÷9 =38÷9 .
hence, 38÷18 = 2.11 .
simplify 2 3÷4 = 11÷4
and
4 2÷9 = 38÷9.
now 1/2 of 11/4 = 11/8 = 1.37.
1/2 of 38/9 = 38/18 = 2.11 .
The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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pls help me solve surds , √75 ,√48, √12,√125,√28. pls help
the right hand side value for the starting node in a shortest path problem has a value of
In a shortest path problem, the right-hand side (RHS) value for the starting node has a value of 0. This indicates that the shortest path from the starting node to itself has a cost of 0.
In summary, the RHS value for the starting node in a shortest path problem is 0, indicating that the shortest path from the starting node to itself has a cost of 0.
The RHS value is used in the context of the Dijkstra's algorithm, which is commonly used to solve shortest path problems. In this algorithm, a priority queue is used to store the nodes that have not yet been visited, sorted based on their tentative distances from the starting node. Initially, the starting node is assigned a tentative distance of 0, indicating that it is the source node for the shortest path. The RHS value is used to update the tentative distance of a node when a shorter path is discovered. When a node is added to the priority queue, its tentative distance is compared to its RHS value, and the smaller of the two values is used as the node's priority in the queue. By setting the RHS value of the starting node to 0, we ensure that the starting node always has the highest priority in the queue and is processed first by the algorithm.
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Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars.
Answer:
The answer is 1.06x+10
Step-by-step explanation:
Well, I assume that both tickets cost the same: let's call it x.
So the tickets cost 106%x (the cost of the ticket plus tax).
The total prize of the tickets will be: 2*106% x+20.
But let's assume that you share it half-half then the answer would be 1.06x+10
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 67. Let μ denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
(b) Let X denote the sample average compressive strength for n = 12 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). If X = 1340, find the P-value. (Round your answer to four decimal places.) P-value = 0.0193
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) The p-value for the test statistic X = 1340 is approximately 0.0193
Hypothesis testing:
Hypothesis testing is a statistical method used to make inferences or decisions about a population based on sample data.
To test these hypotheses, a sample of 12 specimens is taken, and the sample mean compressive strength (X) is calculated. The test statistic used in this case is the sample mean itself.
The p-value is then calculated to determine the probability of observing a sample mean as extreme as the observed value (1340) under the assumption that the null hypothesis is true.
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) To find the p-value for the given test statistic X = 1340, we need to calculate the probability of obtaining a sample mean as extreme as X, assuming the null hypothesis is true.
Since the sample size is 12 and the population standard deviation is known (σ = 67), use the normal distribution to approximate the sampling distribution of the sample mean.
The test statistic is X itself, and find the probability of obtaining a sample mean as extreme as 1340 or more, given that the null hypothesis is true.
Using the known population standard deviation, calculate the standard error of the sample mean (SE) as σ/sqrt(n), where σ = 67 and n = 12.
=> SE = 67/√(12) ≈ 19.334
To calculate the z-score, subtract the assumed population mean (1300) from the observed sample mean (1340) and divide it by the standard error:
z = (1340 - 1300) / 19.334 ≈ 2.069
Now, find the p-value associated with this z-score using a standard normal distribution table or calculator.
The p-value represents the probability of obtaining a z-score as extreme as 2.069 or more.
Consulting a standard normal distribution table or using a calculator,
Find that the area to the right of 2.069 is approximately 0.0193.
Therefore,
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) The p-value for the test statistic X = 1340 is approximately 0.0193.
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two number are in the ratio 5:8 if if there sum is 130 find the numbers
Answer:
50 and 80
Step-by-step explanation:
two numbers are in ratio 5;8 which is 5x + 8x
sum = 130
5x + 8x = 130
13x = 130 ( divide both sides by 13)
x = 10
to find the two numbers we multiply by x
5x = 5 x 10 = 50
8x = 8 x 10 = 80
How can we determine whether the solution is a ray or a segment?
A ray has only one endpoint. A segment has two endpoints.
What is a line?
A line is an object in geometry that is infinitely long and has neither width nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional spaces, they are one-dimensional objects. In everyday language, a line segment with two points designating its ends is also referred to as a "line."
A ray and a segment are parts of a line.
This line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.
In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length.
A line segment's length can be calculated using either metric units like millimeters or centimeters or conventional units like feet or inches.
Ray has only one endpoint and the other ends go infinity.
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Based on the family the graph below belongs to, which equation could represent the graph?
y=2^x+3
y=log(2x)+3
y=2x² +2
y=1/2x+2
For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
what do the x- and y-axes on a perceptual map represent?
Answer: A perceptual map is a marketing tool used to visualize and analyze how customers perceive products or brands in relation to each other. The x- and y-axes on a perceptual map represent different attributes or factors that customers use to evaluate and differentiate products or brands.
The x-axis on a perceptual map represents one attribute or factor, and the y-axis represents another attribute or factor. For example, the x-axis could represent price, and the y-axis could represent quality. By plotting different products or brands on the map based on how customers perceive them in relation to these attributes, marketers can gain insights into how to position their products or brands in the market and identify potential opportunities for differentiation.
The location of a product or brand on the perceptual map relative to other products or brands can indicate how customers perceive it. Products or brands that are located close to each other on the map are perceived to be similar in terms of the attributes represented by the axes. Products or brands that are located far apart on the map are perceived to be different in terms of these attributes.
On a perceptual map, the x- and y-axes represent different attributes or dimensions of the product or brand being evaluated.
These dimensions are typically chosen based on consumer perceptions and can include factors such as quality, price, taste, and convenience.
The placement of a product or brand on the map indicates how consumers perceive it in relation to other options in the market.
By analyzing perceptual maps, marketers can gain insight into consumer preferences and identify opportunities to differentiate their products or improve their positioning.
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6.2.24
Que
In the figure, PQ = QR = RS. Find TU.
w
s
U
2.3
Y
12 R
VO
2.8 x
P Р
The length of TU is
Answer:
TU = 8.4
Step-by-step explanation:
The geometric figure consists of the following segments;
1) 4 parallel lines, WS, YR, XQ, and, VP
2) Three transversals, VW, PS, and, TU
The given parameters are;
PQ = QR = RS
Therefore, given that the transversal, PS, makes equal intercept with the 4 given parallel lines, by equal intercept theorem, the transversal TU will make equal intercepts with the given parallel lines
Therefore;
TX = 2.8 = XZ = ZU
From which we have, by segment addition postulate;
TU = TX + XZ + ZU
∴ TU = 2.8 + 2.8 + 2.8 = 8.4
TU = 8.4.
please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2
(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)
Let us find the dual of the above primal problem.
Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)
and\($y_1, y_2, ..., y_m \geq 0$\)
(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)
Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)
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f(x) = square root 32x
g(x) = square root 2x
Given:
The two functions are:
\(f(x)=\sqrt{32x}\)
\(g(x)=\sqrt{2x}\)
To find:
The \((f\cdot g)(x)\). Assume \(x\geq 0\).
Solution:
We have,
\(f(x)=\sqrt{32x}\)
\(g(x)=\sqrt{2x}\)
Now,
\((f\cdot g)(x)=f(x)\cdot g(x)\)
\((f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}\)
\((f\cdot g)(x)=\sqrt{32x\times 2x}\)
\((f\cdot g)(x)=\sqrt{64x^2}\)
\((f\cdot g)(x)=8x\)
Therefore, the correct option is A.
) for pvc pipe in 2008, the authors estimate a failure rate of 0.0081 failures per 100 miles of pipe per day. consider a 100-mile-long segment of such pipe. what is the expected number of failures in 1 year (365 days)? based on thi
The expected number of failures in 1 year is 8.9948.
The authors calculate a failure rate for PVC pipe of 0.0081 per 100 miles of pipe per day in 2008. Think of a 100-mile section of this pipe.
(I)
Given;
Mean failures per day = 0.0081
So,
Expected number of failures in 1 year = 0.0081 * 365
= 8.9948
(II)
Poisson Distribution with λ = 8.9948 is given by:
\(P(x) =\frac{e^-^8^.^9^9^4^8 8.9948^0}{x!}\)
⇒ for x = 0, 1, 2,. . . .
P(At least 1 failure) = 1- P(X=0);
\(P(x) = \frac{e^-^8^.^9^9^4^8 8.9948^0}{0!} = \frac{0.00012*1}{1}\)
= 0.00012
So,
P(At least 1 failure) = 1 - 0.00012 = 0.99988
Hence, the expected number of failures in 1 year is 8.9948.
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Solve the equation 17.25x + 3.89 = 21.14. Give your answer correct to the nearest integer.
Answer:
x = 1
Step-by-step explanation:
17.25x+3.89=21.14
17.25x=17.25
x = 1
Answer:
The solution to the equation is x = 1
Step-by-step explanation:
Hi,
We need to isolate the term that contains the variable "x", so we will subtract 3.89.
17.25x + 3.89 - 3.89 = 21.14 - 3.89
We obtain:
17.25x = 17.25
Dividing both sides by 17.25:
x = 1
Therefore, the solution to the equation is x = 1.
Good luck!
-20 divided by (-4) =
Answer: 5
Step-by-step explanation: -4×5=-20