Work clothes costing $25.95, $23.95, $26.50, $39.95, and $41.25.
I would like to know if somebody could help me on this math problem.
Answer:
$288
Step-by-step explanation:
.04 * 7,200= 288
Commission multiplied by Stocks sold= Answer
Hope this helps :)
quantitative measures
Quantitative measures play a crucial role in answering research questions by providing numerical data, which allows for precise analysis and interpretation of results. This type of measurement is often used in combination with qualitative methods to gain a comprehensive understanding of the subject under study.
Quantitative measures are numerical values that can be used to assess various aspects of a situation, process, or outcome. These measures are often used in research studies to provide objective data that can be analyzed statistically. There are three main types of quantitative measures: nominal, ordinal, and interval/ratio. Nominal measures are used to categorize data into groups based on shared characteristics, such as gender or race. These measures do not have any inherent order or ranking.
Ordinal measures rank data in order from lowest to highest, but do not provide any information on the magnitude of the differences between values. For example, a Likert scale that asks respondents to rate their agreement with a statement on a scale of 1 to 5 is an ordinal measure. Interval/ratio measures provide information on both the order and magnitude of differences between values. Examples of interval measures include temperature in Celsius or Fahrenheit, while examples of ratio measures include weight and height.
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please simplify this algebraic expression
7x-3×4x+5x×2
Answer:
5x
Step-by-step explanation:
First, calculate the product.
You gave 7x-3×4x+5x×2
3x4 is 12 and 5x2 is 10.
Therefore, we now have 7x-12x+10x
Now collect like terms.
7x-12x+10x which will now be (7-12+10)x will give you 5x. 5x is your answer.
Differentiate: y = 2 + ln(3-2x)
Two step equations pls help with explanation
After factorising 2+ k/3 = 5, the value of k is 9.
How should a function be evaluated?Finding the value of f(x) = or y = that corresponds to a given value of x is the definition of function evaluation.
Simply swap out all instances of x with the value that has been allocated to x to do this. For instance, if f(4) is to be evaluated, then x has been given the value of 4.
How is an equation factored?Fully factorizing an equation entails putting it in brackets by eliminating the factors with the highest common denominator.
The easiest method of factoring is: Find the terms in the phrase that have the highest common factor. Any bracket should have the highest common factor (HCF) in front of it.
In this question,
2+ k/3 = 5
Take L.C.M. of 1 and 3.
(6 + k)/3 = 5
6 + k = 15
k = 15 - 6
k = 9
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Find the minimum distance from the point to the surface z =( 7 − 2x − 2y )^0.5. (Hint: To simplify the computations, minimize the square of the distance.) (−2, −2, 0)
Let D^2 be the square of the distance between the point and the surface. We have:
D^2 = (x - (-2))^2 + (y - (-2))^2 + (z - 0)^2
D^2 = (x + 2)^2 + (y + 2)^2 + ((7 - 2x - 2y)^0.5)^2
Solving these equations, we get:
x = -1 and y = -1
So, the point on the surface closest to (-2, -2, 0) is (-1, -1, (11)^0.5). To find the minimum distance, we calculate the square root of the minimized D^2:
D = sqrt(((-1) + 2)^2 + ((-1) + 2)^2 + (11)^0.5^2) = sqrt(1 + 1 + 11) = sqrt(13)
Thus, the minimum distance from the point to the surface is sqrt(13).
To find the minimum distance from the point (-2,-2,0) to the surface z = (7 - 2x - 2y)^0.5, we need to minimize the square of the distance.
Let's call the distance from the point to the surface "d". The square of the distance can be found using the formula:
d^2 = (x - (-2))^2 + (y - (-2))^2 + (z - (7 - 2x - 2y)^0.5)^2
We want to minimize this expression, so we can take the partial derivatives with respect to x, y, and z and set them equal to 0:
∂d^2/∂x = 2(x + 2) - 2(7 - 2x - 2y)^0.5(-2)
∂d^2/∂y = 2(y + 2) - 2(7 - 2x - 2y)^0.5(-2)
∂d^2/∂z = 2(z - (7 - 2x - 2y)^0.5)(-1)(7 - 2x - 2y)^(-0.5)(-2)
Simplifying these expressions and setting them equal to 0, we get:
x + (7 - 2x - 2y)^0.5 = -2
y + (7 - 2x - 2y)^0.5 = -2
z - (7 - 2x - 2y)^0.5 = 0
Solving for x and y in the first two equations and substituting into the third equation, we get:
z - (7 - 2(-2 - (7 - 2y)^0.5) - 2y)^0.5 = 0
Simplifying this expression, we get:
z = (7 - 2y)^0.5 - 2
Now we can substitute this expression for z back into the equation for the square of the distance and simplify:
d^2 = (x + 2)^2 + (y + 2)^2 + ((7 - 2y)^0.5 - 2)^2
Taking the partial derivative of this expression with respect to y and setting it equal to 0, we get:
4(y + 1) - 4(7 - 2y)^0.5 = 0
Solving for y, we get:
y = 3/2
Substituting this value of y back into the expression for z, we get:
z = 1/2
Finally, we can substitute these values of x, y, and z into the equation for the square of the distance and take the square root to get the minimum distance:
d = ((-2 - (-2))^2 + (3/2 - (-2))^2 + (1/2 - 0)^2)^0.5 = (37/4)^0.5
Therefore, the minimum distance from the point (-2,-2,0) to the surface z = (7 - 2x - 2y)^0.5 is (37/4)^0.5.
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what are the slopes of each line segment of the triangle?
Slope of segment WU = 4/5
Slope of segment UV = -2/3
Slope of segment VW = 0
How to find the slopes of each line segment of the triangle?To find the slopes of each line segment of a triangle, you will need to know the coordinates of the vertices (corners) of the triangle.
We have a triangle with vertices U(x1, y1), V(x2, y2), and W(x3, y3). Then we can find the slopes of the line segments as follows:
Slope of segment UV:
The slope of the line passing through points U and V can be found using the formula:
mUV = (y2 - y1) / (x2 - x1)
From the graph: x1 = 1, y1 = 3; x2 = 4, y2 = -1
mUV = (-1 - 1) / (4 - 1) = -2/3
Slope of segment VW:
The slope of the line passing through points V and W can be found using the formula:
mVW = (y3 - y2) / (x3 - x2)
x2 = 4, y2 = -1; x3 = -4, y3 = -1
mVW = (-1 - (-1)) / (-4 -4) = 0/(-8) = 0
Slope of segment WU:
The slope of the line passing through points W and U can be found using the formula:
mWU = (y3 - y1) / (x3 - x1)
x1 = -4, y1 = -1; x3 = 1, y3 = 3
mWU = (3 - (-1)) / (1 - (-4)) = 4/5
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Given \(\displaystyle W(t)=\int^t_2\ln(x-1)dx\), find \(\displaystyle W''\left(\frac{5}{2}\right)\).
The value of W''(5/2) is 2/3.
Given: W(t) = ∫ ln(x - 1) dx, where the limits of integration are from 2 to t.
To find the first derivative, we can apply the Fundamental Theorem of Calculus:
W'(t) = d/dt [∫ ln(x - 1) dx]
By the chain rule, we have:
W'(t) = ln(t - 1) * d/dt(t) - ln(2 - 1) * d/dt(2)
Since d/dt(t) = 1 and d/dt(2) = 0, the equation simplifies to:
W'(t) = ln(t - 1)
Now, to find the second derivative, we differentiate W'(t) with respect to t:
W''(t) = d/dt [ln(t - 1)]
By the chain rule, we have:
W''(t) = 1/(t - 1) * d/dt(t - 1)
Since d/dt(t - 1) = 1, the equation simplifies to:
W''(t) = 1/(t - 1)
Now, we can evaluate W''(5/2) by substituting t = 5/2 into the equation:
W''(5/2) = 1/((5/2) - 1)
W''(5/2) = 1/(5/2 - 2/2)
W''(5/2) = 1/(3/2)
W''(5/2) = 2/3
Therefore, W''(5/2) = 2/3.
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Find the dimensions of a rectangle whose perimeter is 52 m and whose area is 160 m (2)
Answer:
10, 16
Step-by-step explanation:
List the factors of 160.
1 × 160 = 160
2 × 80 = 160
4 × 40 = 160
5 × 32 = 160
8 × 20 = 160
10 × 16 = 160
(there are more, but we don't need them)
Check to see which factors can be added together to make 26, half of 52.
10 and 16 make 26.
That's the answer!
I hope this helps!
pls ❤ and mark brainliest pls!
Which compound inequality is represented by the graph?
Answer:
The third option, x < -2 or x ≥ 4
Step-by-step explanation:
First, we need to interpret the graph.
There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.
The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.
A playground is in the shape of a rectangle. The length of the rectangle is three times its width. The area of the playground is 19,500 square feet. What is the length of the playground? Round to the nearest foot. Hint: use A=LW
The length of the rectangular playground is 241.86 foot.
How to calculate length of the rectangle?Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.
Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.
Calculation:A=LW
As given A= 19,500 sq.ft and considering L=3W,
19,500 = 3W*W
19,500 = 3W^2
∴ W^2 = 6500
∴ W = \(\sqrt{6500}\)
∴ W = 80.6225 ft. ≈ 80.62 ft.
Now putting the value W = 80.62 in equation L =3W,
L = 3* 80.62
L = 241.86 ft.
The length of the rectangular playground is 241.86 foot.
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Find the slope of the line through the points (4, 1) and (6, 3)
I need help ASAP
Answer:
The slope is 1
Step-by-step explanation:
Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)
In this case,
y2 = 3
y1 = 1
x2 = 6
x1 = 4
\(\frac{3-1}{6-4}\) = 2/2 = 1
Part e
what is the mean absolute deviation for doctor a's data set on corrective lenses? what is the mean absolute deviation
for doctor b's data set on corrective lenses? write a sentence comparing the variation of the two data sets using their
mean absolute deviations.
The MAD for Doctor A's data set is 0.67 and the MAD for Doctor B's data set is 0.83. Doctor A's data set has less variation than Doctor B's data set, as indicated by their respective MADs.
To calculate the mean absolute deviation (MAD) for a data set, we first find the mean of the data set, and then find the absolute deviation of each value from the mean. We then find the mean of these absolute deviations.
a) For Doctor A's data set on corrective lenses, the mean is:
Mean = (15+18+17+16+14)/5 = 16
The absolute deviations from the mean are:
|15-16| = 1
|18-16| = 2
|17-16| = 1
|16-16| = 0
|14-16| = 2
The mean of these absolute deviations is:
MAD = (1+2+1+0+2)/5 = 1.2
Therefore, the MAD for Doctor A's data set is 1.2.
b) For Doctor B's data set on corrective lenses, the mean is:
Mean = (17+19+20+16+18)/5 = 18
The absolute deviations from the mean are:
|17-18| = 1
|19-18| = 1
|20-18| = 2
|16-18| = 2
|18-18| = 0
The mean of these absolute deviations is:
MAD = (1+1+2+2+0)/5 = 1.2
Therefore, the MAD for Doctor B's data set is also 1.2.
Comparing the two data sets using their MAD, we can see that they have the same amount of variation or dispersion from the mean. Both sets have a MAD of 1.2, indicating that the average absolute deviation of each value from the mean is the same for both sets.
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Answer:
Doctor A MAD: 11.8
Doctor B MAD: 9.32
Step-by-step explanation:
This is what I got on the assignment.
What is the expression written using each base only once? 48 x 43 O A 411 O B. 1211 O C. 424 O D. 6411
The expression written using each base only once is 4¹¹ , the correct option is (a).
The expression 4⁸×4³ can be simplified using the rule of exponents,
The rule of exponents states that when we multiplying two exponential expressions with the same base, the exponents gets added.
which means that, nᵃ×nᵇ = nᵃ⁺ᵇ;
In this case the expression is: 4⁸×4³ , it has common base as "4",
So, by the rule of exponents, the power(exponents) gets added up ;
The expression "4⁸×4³" can be rewritten as 4⁸⁺³, which is equal to 4¹¹,
Therefore, Option(a)4¹¹, is the expression written using each base only once.
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The given question is incomplete, the complete question is
What is the expression written using each base only once? 4⁸×4³
(a) 4¹¹
(b) 12¹¹
(c) 4²⁴
(d) 64¹¹.
find the common difference of the arithmetic sequence 15,22,29, …
Answer:
7
Step-by-step explanation:
You want the common difference of the arithmetic sequence that starts ...
15, 22, 29, ...
Difference
The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.
22 -15 = 7
29 -22 = 7
The common difference is 7.
<95141404393>
Help me solve this problem please
Answer:B. is your
Step-by-step explanation: make sure you thank me and rate this with 5 stars please I'm begging you
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
Answer:
6 feet
Step-by-step explanation:
\(\frac{height of object}{length of shadow}\)
Let the hight of the soldier be x
\(\frac{24}{9}\) = \(\frac{x}{2.25}\)
x = (24×2.25)/9 = 6ft
It! Add and Subtract Polynomials idd or subtract the polynomials. ((2)/(5)a^(4)-6a^(3)-(5)/(6)a^(2)+(a)/(2)+1)+((9)/(4)a^(3)+(2a^(2))/(3)+(5)/(3)a-(8)/(5)) (2a^(2)b^(2)+3ab^(2)-5a^(2)b)-(3a^(2)b^(2)-9
The polynomial that need to be added is
(2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5 - 5a^(2)b^(2) - 3ab^(2) + 5a^(2)b + 9
To add or subtract polynomials, we need to combine like terms. Like terms are terms that have the same variable and the same exponent.
First, let's add the first two polynomials:
((2)/(5)a^(4)-6a^(3)-(5)/(6)a^(2)+(a)/(2)+1)+((9)/(4)a^(3)+(2a^(2))/(3)+(5)/(3)a-(8)/(5))
= (2/5)a^(4) + (-6 + 9/4)a^(3) + (-5/6 + 2/3)a^(2) + (1/2 + 5/3)a + 1 - 8/5
= (2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5
Now, let's subtract the third polynomial from this result:
(2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5 - (2a^(2)b^(2)+3ab^(2)-5a^(2)b)
= (2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5 - 2a^(2)b^(2) - 3ab^(2) + 5a^(2)b
Finally, let's subtract the last term from this result:
(2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5 - 2a^(2)b^(2) - 3ab^(2) + 5a^(2)b - (3a^(2)b^(2)-9)
= (2/5)a^(4) + (-15/4)a^(3) + (1/6)a^(2) + (11/6)a - 3/5 - 5a^(2)b^(2) - 3ab^(2) + 5a^(2)b + 9
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Gavin has nickles, dimes, and quarters in the ratio of 1:3:6 if 57 of Gavin's coins are dimes how many nickels and quarters does Gavin have?
Answer:
Gavin has 19 nickels & 114 quarters
Step-by-step explanation:
N : D : Q
1 : 3 : 6 = 57
x : 57 : y
57 / 3 = 19
1 x 19 : 3 x 19 : 6 x 19
19 : 57 : 114
the value of the _____ function at –2.99 is −2.
To understand why the function evaluates to -2 at -2.99, it is necessary to know the specific function and its definition or the rules. The value of the unknown function at -2.99 is -2.
In the given statement, it is indicated that the value of the unknown function at -2.99 is -2. This implies that when the input to the function is -2.99, the output is -2.
To provide a more detailed explanation, we need to know the specific function being referred to. Without this information, it is difficult to provide a precise explanation for why the function evaluates to -2 at -2.99. The behavior of a function depends on its definition, and different functions can have different rules or equations governing their behavior.
In general, functions can be represented by mathematical expressions or equations, and they map input values to corresponding output values. The function's behavior can be determined by its definition, which may involve various mathematical operations, constants, variables, or specific conditions.
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the price of laptop changed from $350.00 to $550.00. what is the percents change in the cost of the laptop
Answer:
57.14% increase
Step-by-step explanation:
The percentage change is calculated by dividing the difference value by the original value and multiplying it by 100.
If the price of the laptop was changed from $350 to $550.
The percentage change in the cost of the laptop is 57%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The percentage change is calculated by dividing the difference value by the original value and multiplying it by 100.
The price of the laptop changed from $350.00 to $550.00.
Original price = $350
New price = $550
The percentage change in the cost of the laptop:
= [ (New price - Orginal price) / Original price ] x 100
= (200/350) x 100
= 20000/350
= 57.14%
= 575
Thus,
If the price of the laptop was changed from $350 to $550.
The percentage change in the cost of the laptop is 57%.
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-5x + 4y = 3
x = 2y - 15
solve for x and y
I'm failing please send help
Answer:
Let's solve for x.
−5x + 4y = 3
Step 1: Add -4y to both sides.
−5x + 4y+ −4y =3+ −4y
−5x = −4y +3
Step 2: Divide both sides by -5.
-5x divided by 5 = -4y+3 divided by -5
x=4/5y + −3/5
Step-by-step explanation:
a) Activity that should be crashed first to reduce the project duration by 1 day is (1) b) Activity that should be crashed next to reduce the project duration by one additional day is (2) c) Total cos
a) Activity that should be crashed first to reduce the project duration by 1 day is B.
b) Activity that should be crashed next to reduce the project duration by one additional day is C.
c) Total cost of crashing the project by 2 days = $10,000.
To determine the activities that should be crashed first and next, we need to consider the critical path method (CPM). The critical path is the longest sequence of activities that determines the total project duration. Crashing activities on the critical path will reduce the project duration.
Let's calculate the project duration and costs for each activity:
Activity A:
Normal Time: 7 days
Crash Time: 6 days
Normal Cost: $5000
Total Cost with Crashing: $5600
Activity B:
Normal Time: 4 days
Crash Time: 2 days
Normal Cost: $1500
Total Cost with Crashing: $3400
Immediate Predecessor(s): A
Activity C:
Normal Time: 11 days
Crash Time: 9 days
Normal Cost: $4200
Total Cost with Crashing: $6600
Immediate Predecessor(s): B
To find the critical path, we add the normal times of each activity:
Critical Path: A -> B -> C
a) Activity that should be crashed first to reduce the project duration by 1 day:
Since the critical path includes activities A, B, and C, we need to identify which activity's crash time can reduce the project duration by 1 day. The activity that can achieve this is B since its crash time is 2 days compared to activity A's crash time of 6 days. Therefore, activity B should be crashed first.
b) Activity that should be crashed next to reduce the project duration by one additional day:
After crashing activity B, the project duration will be reduced by 1 day. To further reduce the duration by an additional day, we need to determine which activity's crash time can achieve this. The activity that can achieve this is C since its crash time is 9 days compared to activity A's crash time of 6 days. Therefore, activity C should be crashed next.
c) Total cost of crashing the project by 2 days:
The total cost of crashing the project by 2 days is the sum of the total costs for the crashed activities:
Total cost of crashing = Total cost of crashing activity B + Total cost of crashing activity C
= $3400 + $6600
= $10,000
Therefore, the total cost of crashing the project by 2 days is $10,000.
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Complete Question:
Three activities are candidates for crashing on a project network for a large computer installation (all are, of course, critical). Activity details are in the following table.
a) Activity that should be crashed first to reduce the project duration by 1 day is
b) Activity that should be crashed next to reduce the project duration by one additional day is
c) Total cost of crashing the project by 2 days =
The triangle above has the follow measures.
q= 8in
m
find the length of side r.
Round to the nearest tenth and include correct units.
The measure of the side r is 13.29 in
How to determine the valueTo determine the value of the side of the triangle:
We need to take note of the six trigonometric identities. These identities are;
sinecosinecotangentcosecantsecanttangentFrom the information shown in the diagram, we have that;
side q is the opposite side of angle Q
r is the hypotenuse side
s is the adjacent side
Using the sine identity, we have;
sin 37 = 8/r
cross multiply the values, we have;
r = 13. 29 in
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Does anyone know this?
Answer:
Hey there!
The domain is the range of all the x values.
So for this graph, the domain would be \(-10<x\leq 8\).
Note that the open circle means < or > and the closed circle means ≤ or ≥.
Let me know if this helps :)
A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
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Evaluate 6/x + 9 if x = 3
Answer:
11
Step-by-step explanation:
6/x + 9
Let x= 3
6/3 +9
2 +9
11
Answer:
11
Step-by-step explanation:
6/3 + 9
2 + 9
11
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Step-by-step explanation:
It's a rectangle so the diagonals are equal
7x - 9 = 2x + 62
Subtract 2x from both sides
5x - 9 = 62
Add 9 to both sides
5x = 71
Divide both sides by 5
x = 71/5 (as an improper fraction)
x = 14 1/5 (as a proper fraction
x = 14.2 (as a decimal)
Answer:
x= 14.2
Step-by-step explanation:
BD and and AC are equal so
7x-9 = 2x+62
isolate the variable means x = 14.2
first time I had to take out pencil and paper so I hope it's right
* You have a dog that can run 5 km/hr. How fast can she run in mi/hr? (i.e. convert the rate to miles per hour) (1.6 km=1mi) DO NOT JUST TYPE THIS INTO A CONVERTER ONLINE. YOU WILL NOT GET THE ANSWER RIGHT. Express your answer as decimal, rounded to the nearest thousandth (three decimal places) in mi/hr - no spaces EXAMPLE: 78.345mi/hr
The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.
To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.
However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.
Therefore, the dog can run at approximately 3.125 mi/hr.
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