In addition to coal, lead, and petroleum, salt was an important mineral resource. Where did salt manufacturing first begin?
A.
Seminole land
B.
Creek land
C.
Cherokee land
D.
Arapaho land
Answer: Cherokee land
Step-by-step explanation: Oklahomas first commercial salt manufacturing occured in the Cherokee land Indian territory in 1815 by a Cherokee agent, major William Lovely
two buses leave the terminal at 12 noon. bus #86 takes 45 minutes to complete its route. bus #79 takes 60 minutes when is the next time the two buses will arrive together at the terminal
Answer:
3 hours from noon, or 3 pm.
Step-by-step explanation:
As of 12 noon, the frequencies are 45 and 60 minutes.
To find out when they leave at the same time again, we need the LCM (least common multiple) of the two frequencies, i.e.
LCM (45, 60) = common time from {45,90,135,180,225,270,315,360....} and{60,120,180,240,300,360,...}
We see that they leave at the same time again at 180 and 360, ... minutes. Since 180 minutes is the least common multiple, 180 is the next time they leave together again, or 3 hours after noon, i.e. 3pm.
Happy New Year, ... en quelques minutes! :)
Answer:
3 PM
Step-by-step explanation:
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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The____ property of addition is being illustrated below.(6 + 7) + 1 = 6 + (7 + 1)1. Commutative 2. Associative 3. Identity
From the text we can see that the property in question is the associative property of addition.
The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)
Answer:
3.7ml/hr
Step-by-step explanation:
From the question
A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion
Step 1
The patient weighs 110lb(pounds
Convert the patients weight to kilogram
1 lb = 0.454kg
110lb =
Cross Multiply
110lb × 0.454kg
= 49.94kg
The patient weight = 49.94kg
Step 2
The dosage to to be administered by the nurse = 2 mcg/kg/min
If 1 kg = to be administered 2mcg/min
49.94 kg =
(49.94kg × 2mcg/min)/1
= 99.88mcg/min
Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min
Step 3
Available dopamine is 400mg in 250ml
We have to convert this to mcg
Hence,
1 mg = 1000mcg
400mg =
Cross Multiply
= 400mg × 1000mcg
= 400000mcg
Hence, the available dopamine is administer in 250ml/400000mcg
Part 3
Since 60 minutes is 1 hour
The nurse should set the IV pump to deliver how many ml/hr
(99.88mcg/min × 250ml × 60mins)/ 400000mcg
= 3.7455ml/hr
Approximately to the nearest tenth = 3.7ml/hr
Select the correct answer from each drop-down menu.
40
45
50
55
60
65
70
75 80
85
For this data set, the best measure of center is the
and its value is
Seven subtracted from seven times a number is 147. What is the number?
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
On July , the billing date, Marvin Zug had a balance due of $265.72 on his credit card. His card charges an interest rate of 1.25% per month. The transactions he made are to the right.
a) Find the finance charge on August , using the previous balance method.
b) Find the new balance on August 7.
(see photo)
Answer:
475$
Step-by-step explanation:
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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what is equivalent to 3 and 1/4 minus negative 5/8
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
En un triatlón, Jenny nadó durante 1 hora, anduvo en bicicleta durante 1,75 horas y corrió durante 1 hora. Su velocidad promedio en bicicleta fue 2 veces su velocidad promedio para correr, y su velocidad promedio para correr fue 8 veces su velocidad promedio para nadar. La distancia total del triatlón fue de 55,5 kilómetros. Escribe una ecuación y resuélvela para encontrar la velocidad de nado promedio de Jenny en kilómetros por hora. Explique su ruta de solución y el razonamiento detrás de su trabajo.
Jenny's Average swimming speed is 1.5 km/h.
Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.
We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.
Thus, the distance she swam is S * 1 = S km.
Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.
Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.
Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.
She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.
The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.
Therefore, we can write the equation:
S + 8S + 28S = 55.5.
Simplifying the equation, we get:
37S = 55.5.
To solve for S, we divide both sides of the equation by 37:
S = 55.5 / 37 = 1.5.
Thus, Jenny's average swimming speed is 1.5 km/h.
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What is the slope of 1/2 and 7/5
Answer:
0.5
Step-by-step explanation:
its hard to explian how to do it but you can find a video im sure
Let f(x)=2x-1, h(x) = -x-5.
Find (f o h)(-3).
(foh)(-3)=
So, (f o h)(-3) = 3. This is the value of the composite function (f o h) at -3. Please note that (f o h)(-3) is equivalent to f(h(-3))
What is function?An input and an output are connected by a function. It functions similarly to a machine with an input and an output. Additionally, the input and output are somehow connected. The traditional format for writing a function is f(x) "f(x) =... "
To find (f o h)(-3), we need to first evaluate h(-3), and then plug that result into the function f(x).
Given:
f(x) = -2x - 1
h(x) = -x - 5
First, we evaluate h(-3):
h(-3) = -(-3) - 5
h(-3) = 3 - 5
h(-3) = -2
Now, we plug the result of h(-3) into the function f(x):
f(h(-3)) = f(-2)
f(h(-3)) = -2(-2) - 1
f(h(-3)) = 4 - 1
f(h(-3)) = 3
So, (f o h)(-3) = 3. This is the value of the composite function (f o h) at -3. Please note that (f o h)(-3) is equivalent to f(h(-3)), which means we first evaluate h(-3) and then plug that result into f(x). I hope this helps! Let me know if you have any further questions. :)
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The table and graph both represent the same relationship. which equation also represents that relationship?
Answer:
I think it's y= 2x
Step-by-step explanation:
For every number in y, x increases by 2
Answer:
y=x2
Step-by-step explanation:
The first one because 2x2 is 4 .
4x2 is 8
6x2 is 12
Joanie bought three oranges and an apple for a total of $4.27. She paid with four $1 bills
and a 50¢ coin. What is the least number of coins consisting of a combination
of pennies, nickels, dimes or quarters that she could receive as change?
Answer:
23 cents
Step-by-step explanation: 1+1+1+1+50cents=4.50
4.50-4.27=23
what is the value of -2/3x0.6÷ 6/5
Answer:
-0.33333333333 in other word it o.3 with line over 3
Step-by-step explanation:
Here is a table classifying 116 thousand US households (in thousands) in
2013 by tenure and insurance status:
Insurance status Owns home Rents home
Insured
71
13
Uninsured
27
5
Find the relative frequency marginal distribution of insurance status.
Round to the nearest whole percent.
Insured: %
Uninsured: %
Insured = 72%.
Uninsured = 28%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Here is a table classifying 116 thousand US households (in thousands) in
2013 by tenure and insurance status:
Insurance status Owns home Rents home
Insured 71 13
Uninsured 27 5
Total house = 71 + 13 + 5 + 27 = 116
Insured = (71 + 13)/116 = 72%.
Uninsured = (5 + 27)/116 = 28%.
Therefore, 72% = insured and 28% = uninsured.
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Instructions: Find the surface area of each figure, Round your answers to the nearest tenth, if necessary 12 yd. 3 yd. Surface Area: W?
REmember that
the surface area of a cylinder is equal to
SA=2(pi)r^2+2(pi)(r)(h)
we have
r=3 yd
h=12 yd
substitute
SA=2(pi)3^2+2(pi)(3)(12)
SA=18pi+72pi
SA=90pi yd2
SA=282.7 yd2A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
I will mark you brainiest!
A) 3
B) 6
C) 9
D) 12
The value of x, considering the similar triangles, is given as follows:
B) 6.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Considering that the triangles for this problem are similar, the proportional relationship for the side lengths is given as follows:
9/3 = 12/4 = x/2.
Since the constant is of 3, the value of x is obtained with cross multiplication as follows:
x/2 = 3
x = 6.
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y= mx + b, solve for x
Answer: (y-b)/m
Step-by-step explanation:
y - b = mx
(y-b)/m = x
Hope that helped!
The solution for x for the equation y= mx + b, where "x" is an unknown variable \(\dfrac{y - b}{m}\).
Two algebraic expressions separated by an equal symbol between them and with the same value are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
To solve the equation y = mx + b for x, we need to isolate x on one side of the equation.
y = mx + b
Subtract b from both sides:
y - b = mx
Next, we can divide both sides by m to solve for x:
\(x = \dfrac{(y - b)}{m}\).
Therefore, the solution for x is \(\dfrac{y - b}{m}\)
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Can someone please help me with #’s 3 & 4?
Answer:
3. 3(n + 6),
4. 5(2n + 4)
Step-by-step explanation:
dunno if its possible to isolate the addition to have it done first without parenthesis.
What is the solution to the equation below? Round your answer to two decimal places. 3e2x + 12 = 42
Answer:
X= 5.52
Step-by-step explanation:
1. Solve the equation:
e×2x + 12= 42
x=15/e
2. Round x=15/e to the required place
x=5.52
Answer:
X=1.15
Step-by-step explanation:
8. In the expression x - 53 - 4x - W + 6x + 8, the constants are 53,8 Xw X, W ООО 0 1,4-1,6 -53,8
-53,8 are the constants in this expression
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Help me out with the answer
Answer:
C i think
Step-by-step explanation:
Which of the following is the strongest correlation?
O 0.21
0 -0.92
O 0.44
0.89
Answer:
0.89
is the strongest correlation
0.89 is the strongest correlation. Hence option D is correct.
What is correlation?It is a statistical value that describing the degree to which two variables travel in coordination with each another.
Since , +1 is the strongest correlation, here the value nearby is also also have stronger correlation. This implies 0.89 has the strongest correlation among 0.21, -0.92, 0.44. 0.89.
Thus, 0.89 is the strongest correlation.
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There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon.
1 L ≈ 0.26 gallons
6 kL ≈ fl oz
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
We have,
To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.
The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.
This means that for every kiloliter, there are 33814.0227 fluid ounces.
To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).
= 6 kL x 33814.0227 fl oz/kL
= 202884.1362 fl oz
Therefore,
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
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