Do the equations ;x + 2 = 6
and ;(*+ 2) = 6 represent the same situation?
Explain.
Answers
The given equations have in one, (1/5) is the coefficient of x, in the second equation, (1/5) is the coefficient of (x + 2), while both equations equals 6. Therefore, the value of x is different in both equations which do not represent the same situation.
How the given equations be evaluated?The given equations are presented as follows;
[tex]\frac{1}{5} \cdot x + 2 = 6...(1)[/tex]
[tex] \frac{1}{5} \cdot (x + 2) = 6...(2)[/tex]
Solving each equation for x gives;
For equation (1), x = 5×(6 - 2) = 20
x = 20
For equation (2), we have;
x = 6 × 5 - 2 = 28
x = 28
Given that the value of x in the given equations are different, the situations are different.
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Related Questions
Khloe is a salesperson who sells computers at an electronics store. She is paid a $5
commission for every computer sale she makes and she also makes a guaranteed base
pay of $90 each day. Make a table of values and then write an equation for P, in
terms of a, representing Khloe's total pay on a day on which she sells a computers.
Number of Computers Sold Khloe's Daily Pay in Dollars
90 ✓
95 ✔
100✓
105 ✓
Answer: P =
Answers
By finding and evaluating a linear equation, we will complete the table:
Number of computers sold| Khloe's Daily pay in dollars:
90 $540
95 $565
100 $590
105 $615
How to complete the table?Here we know that Khloe is a salesperson who ells computers, and she gets $5 for each computer sold, plus a base pay of $90 each day.
Then if in a day she sells x computers, the amount that she wins that day is given by the linear function:
f(x) = $90 + $5*x
Now we want to complete the table:
Number of computers sold| Khloe's Daily pay in dollars:
90
95
100
105
To complete the table we just need to evaluate the linear function in these values of x, we will get:
f(90) = $90 + $5*90 = $540
f(95) = $90 + $5*95 = $565
f(100) = $90 + $5*100 = $590
f(105) = $90 + $*105 = $615
Now we just need to input these values in their correspondent place on the given table, we will get:
Number of computers sold| Khloe's Daily pay in dollars:
90 $540
95 $565
100 $590
105 $615
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4. Two brands of cooking fat, Omega 1 and Omega 2 are melt and mixed to produce a new brand, Omega super. The density of Omega 1 is 2.5g/cm³ and that of Omega 2 is 2.0g/cm³, calculate the density of the mixture given that the two brands are mixed in the ratio of 5:3 respectively by volume. (4 mks)
Answers
Step-by-step explanation:
2.0
2.5cm,
8888888888888888822
What is the value of p?
p-43
p
p+45°
Exterior angle theorem
Answers
Answer: p=178/3 degrees
Step-by-step explanation:
Based on the problem, I THINK these three angles add up to 180 degrees
(p-43)+(p)+(p+45)=180
p-43+p+p+45=180
p+p+p-43+45=180
3p+2=180
3p=178
p=178/3 degrees
An amusement park ride consists of four circular cars. The ride rotates at a rate of 0.25 revolution per second. In addition, each car rotates 0.5 revolution per second. If Jane is positioned at point P when the ride begins, what coordinates describe her position after 31 seconds?
Answers
Let ride rotate in clockwise direction ( cw ) then position will be co - ordinate ( 0, 3)
What does coordinate mean in this case?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.As per given problem ride rotates at a rate of .25 revolution /sec
so in every 4 sec it completes 1 full revolution .
In every 1 sec it revolves by 90° only .
In 28 sec car 1 complete 7 full revolution so , in next 3 sec
So , in next 3 sec it completes only 270.
Here car itself also rotates at the rate of .5 revolution .
So in 31 sec it it completes is full revolution .
& in next 1 second it completes 180° revolution .
Case - 1 Let ride rotate in counter clockwise ( ccw) then find position will be at co - ordinate ( 0, - 1 ) .
Case - 2 Let ride rotate in clockwise direction ( cw ) then position will be co - ordinate ( 0, 3)
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The measures of two vertical angles are 32° and (2x + 2)°. Find the value of x
Answers
Answer:
x = 15
Step-by-step explanation:
Vertical angles, also called opposite angles sometimes, are angles that across from each other.
They are congruent meaning they have equal measurement
We can write the following equation based on these information to find the value of x :
2x + 2 = 32 subtract 2 from both sides
2x = 32 divide both sides by 2
x = 15
Which equivalent to log 20?
A. log 10 x log 2
B. log 15 + log 5
C. log 30 - log 10
D. log 60/log 3
E. log 80 - log 4
Answers
==========================================
Reason:
log(80) - log(4)
log(80/4)
log(20)
The rule used is log(A) - log(B) = log(A/B)
Using a calculator,
log(80) - log(4) = 1.30103 approximatelylog(20) = 1.30103 approximatelywhich helps confirm the answer. The logs I used were base 10, but it could be any base really.
help me ...........................................,.........................,.............
Answers
The values to the nearest tenth are:
a. 1. 43
b. 26. 41
c. 11. 69
d. 4. 57
e. 15. 77
How to determine the values
Given the equations;
a. 4. 186 - 2. 758
Find the difference
1. 428
1. 43
b. 72. 05 - 45. 64
Find the difference
26. 41
c. 82. 156 - 41. 31 - 29. 16
Find the difference
11. 686
11. 69
d. 17. 054 - 11. 65 - 0. 83
Find the difference
4. 574
4. 57
e. 29. 16 - 12. 48 - 0. 91
Find the difference
15. 77
Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77
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How much more would $10,000 earn in 3 years compounded daily at 1.33%, than compounded semi-annually at 1.33%?
Answers
Answer:
$19,192,529,147.31
Step-by-step explanation:
Daily compounded = 10,000 * (1.0133)^(365*3) = $19,193,611,648.31
Semi-annually compounded = 10,000 * (1.0133)^(2*3) = $10,825.01
The total difference in cost is 19,193,611,648.31 - 10,825,01 which is $19,192,529,147.31
3 more than m as an equation
Answers
Answer:m+3
Step-by-step explanation:hope this helps
Victor is saving his money to buy a new satellite radio for his car. He wants to save enough money for the radio and one year of satellite radio service before he makes the purchase. He started saving for the radio with 50 that he got for his birthday. Since then, he has been adding 15 every week after he cashes his paycheck.
c. How long will it take Victor to save 150 ?
Answers
Victor takes approximately 7 weeks to save 150.
Given,
Initial savings of victor = 50
Savings added by victor weekly = 15
We have to find the time taken by victor to save 150.
We know that victor saved 50 which he got for his birthday.
Then, 150 -50 = 100
That is by saving 15 weekly victor has to make a total of 100.
Therefore, to find the time taken by victor to save 100 is:
100 / 15 = 6.66, approx 7
That is victor takes approximately 7 weeks to save 150.
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the floor of an elevator in a building is 30.5 Ft above ground level. it travels down to the lower level of the building, where the floor is 10.75 feet below ground level . what distance has the elevators floor traveled ?
Answers
The distance travelled by the elevators floor is 41.25 feet.
The floor of the elevator was = 30.5 feet above the ground level.
Initial position = + 30.5 feet
Now, the elevator is 10.75 feet below the ground level.
Final position = - 10.75 feet.
So, the distance travelled by the floor of the elevator is:
Distance = + 30.5 feet - ( - 10.75 feet)
Distance = 30.5 feet + 10.75 feet
Distance = 41.25 feet.
Therefore, we get that, the distance travelled by the elevators floor is 41.25 feet.
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hello giving Brainly
find surface area of composite shape show ur work
Answers
How many hundreds are in the hundreds place in the number 243?
Answers
Answer:
2 hundreds
Step-by-step explanation:
there is the number 2 in place of the hundreds
Aaliyah owns a small textile company that produces shirts. On a particular day,
Aaliyah has one worker come into the shop to make shirts. She must pay the worker
$28 per hour and also pay $2 per shirt for material costs. The worker created an
average of 4 shiris per hour and Aaliyah's total expenses for labor and materials were
$144. Write a system of equations that could be used to determine the number of
hours the worker worked and the number of shirts the worker made. Define the
variables that you use to write the system.
Let _ =
Let _=
System of equations:
1.
2
Answers
A system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is 28x + 2(4x) = 144
Let x be the number of working hours
She must pay the worker $28 per hour
So, Cost of labor for x hour = 28x
The worker created an average of 4 shirts per hour.
So, number of shirts produced in x hours = 4x
Cost of 1 shirt = 2
Cost of 4x shirts = 2 (4x)
Total expenses for labor and materials = 28x + 2(4x)
We are given that Aaliyah total expenses for labor and materials were $144
So, 28x + 2(4x) = 144
28x + 8x = 144
x = 4
Hence a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made is 28x + 2(4x) = 144
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Is (4, -2) a solution to -6x + y = -26 ?
Answers
Answer: ask the teacher to break it down for u
Step-by-step explanation:
that simpile
y=6x-26, Although I didn't really get what were you looking for
find x when y is -1. y= -7/8x+17
Answers
Answer:
x is 20.57
Step-by-step explanation:
-1 minus 17 is -18. -18 divided by -7/8 is 20.57
Answer:
Step-by-step explanation:
-7/8x+17=-1
Now we need to find what +17 = -1
-1 - 17 = -18
Now we find out how many times -7/8 go into -18
-18 / (-7/8) = 20.57412857
So x = 20.57412857
As a fraction, that would be 144/7
Hope this helps ^^
Jalissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $4.25. Each refill is $2.25. She also decided to get a bagel for $3.15. If Jalissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?
Answers
Answer: $11.40
Word problem involving average rate of change
Answers
Answer:
(a): 190
(b): 750
Please see below for the steps.
Step-by-step explanation:
(a):
Use points (0,1000) and (3.1, 1589)
Use slope formula. The slope formula is also used to find average rate of change (just so you know).
y2-y1/x2-x1
1589-1000/3.1-0=589/3.1=190
Answer for (a) is 190
(b):
Use points (12.4, 4100) and (15.5, 6425)
Use slope formula.
y2-y1/x2-x1
6425-4100/15.5-12.4=2325/3.1=750
The answer for (b) is 750
Hope this helps!
Please mark as brainliest if correct!
Have a great day!
What is the ph at the equivalence point of a weak base-strong acid titration?
a) ph < 7
b) ph = 7
c) ph > 7
d) ph = 14
Answers
(B) Between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.
What is Equivalence Point?A standardized acid/base titrant reactant and an unknown base/acid analyte reactant combine in a specific stoichiometry (molar ratio) to produce the respective conjugate products in an acid-base titration experiment. The analyte reactant is in excess early in the titration, and the titrant is limiting. When enough titrant is added, the analyte reactant is completely consumed and only products remain. This is the titration's equivalence point. At this point, the pH of the solution is determined by the relative strength of the starting reactants.So, consider the following example of ammonia (a weak base) titrated with HCl (a strong acid):
[tex]\mathrm{NH}_3+\mathrm{HCl} \rightarrow \mathrm{NH}_4^{+}+\mathrm{Cl}[/tex]Only the products remain at the equivalence point.
We can disregard the chloride anion. The ammonium cation, on the other hand, is a weak conjugate acid with sufficient acidic strength that we must consider it.It dissociates according to the following equilibrium, resulting in a mildly acidic pH of less than 7:
[tex]\begin{aligned}&\mathrm{NH}_4^{+} \leftrightharpoons H^{+}+\mathrm{NH}_3 \\&K_a=5.6 \times 10^{-10}\end{aligned}[/tex]
Therefore, (B) between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.
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The correct question is given below:
Which best describes the pH at the equivalence point of a titration of a weak base with a strong acid?
A. less than zero
B. between 0 and 7
C. close to 7.0
D. between 7 and 14
E. greater than 14
What additional statement is needed in a proc import step when dbms = dlm is specified?
Answers
Now let's process the ASCII text file using the IMPORT and EXPORT procedures.
Must specify ASCII text file delimiter in DBMS options.
PROC IMPORT DATAFILE ="c:\sas\ego.csv" OUT=jeeshim.egov DBMS=CSV REPLACE;
GETNAMES=YES;
DATAROW = 2;
RUN
DATAFILE lets you import an external file.
Designates a SAS data file.
The DBMS specifies the type of external file. For example, "DBMS=DLM", "DBMS=CSV", and "DBMS=TAB".
REPLACE overwrites the existing file, if any.
GETNAMES reads the variable names from the first line of the data file.
The DATAROW option tells the row from which SAS reads the observations.
GETNAMES and DATAROW require a semicolon at the end.
This example exports the data set to an ASCII file by the specified range. DATA and OUTFILE respectively define the set of data to be output and the external file to which the data is output.
PROC export
DATA = jeeshim.egov
OUTFILE="c:\sas\ego.txt"
DBMS = DLM REPLACE;
RUN;
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Find the domain and range of each relation and determine whether it is a function.
(-3,4),(-1,2),(0,-2),(1,0),(2,2)
Answers
The domain and range of the give relation can be determined by listing the x values for the domain and listing the y values from the range. If each x corresponds to only one y, it is a function.
Domain of a relation refers to all the input values of the relation. Hence, domain is the set of all x coordinates. In the given data, the domain is:
{-3, -1, 0, 1, 2}
Range of a relation refers to all the output values of the relation. Hence, range is the set of all y coordinates. In the given data, the range is:
{4, 2, 0, -2}
In order for a relation to be a function, each x must correspond to only one value of y i.e., an x has one y value. For example, for a relation x = 4 and y = 1,2, hence it is not a function.
In our relation, each x value has only one y value, it is a function.
Mapping the relation can also give us the answer in a simpler way.
As there is one arrow leaving each x value, it is a function. (If two arrows are leaving an x value it is not a function.
Hence, for the relation given, Domain: {-3, -1, 0, 1, 2}, Range: {4, 2, 0, -2} and it is function.
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Solve each equation. Check each solution.4/x-2 = x-1/x-2
Answers
The solution of equation 4/x-2 = x-1/x-2 is x = 5
In this question, we have been given an equation.
4/x-2 = x-1/x-2
We need to find the solution of given equation.
4/x-2 = x-1/x-2
Here, denominator is same on both the sides.
So, we can cancel it from both the sides.
So, given equation would be,
4 = x - 1
4 + 1 = x
x = 5
We need to check above solution.
Substitute x = 5 in LHS of given equation.
LHS
= 4/x - 2
= 4/(5 - 2)
= 4/3
Also, substitute x = 5 in RHS of given equation.
RHS
= x - 1 / x - 2
= (5 - 1)/(5 - 2)
= 4/3
So, LHS = RHS
Therefore, the solution of equation 4/x-2 = x-1/x-2 is x = 5
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Write a two-column proof.
Given: V is the midpoint of YW;
UY || XW.
Prove: ΔU V Y≅ ΔX V W
Answers
We reached the conclusion that ΔUVY≅ ΔXVW under SSA condition.
What is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: V is the midpoint of YW; UY || XW.
To Prove: ΔUVY≅ ΔXVW
YV = VW = (Given)UY = WX = (Given: parallel)∠UVY = ∠XVW (Inversely opposite angles)So, ΔUVY≅ ΔXVW under SSA contion.
(Refer the table shown below)
Therefore, ΔUVY≅ ΔXVW under SSA contion.
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what is the outside area of a 3D object
Answers
Make a table of values for f(x) after the given translation. 1 unit down.
Answers
Using equations of the form y=f(x), you may be able to modify the graph in various ways.
For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)-1
-1 1 0
1 3 2
3 5 4
5 7 6
7 9 8
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Help asap please
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?
a
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
b
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
Answers
The weight of the bag she brings home is; D: Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
How to use scientific notation?We are told that Maria wanted to bring back 5 million kg of sand from her trip to the beach. Thus;
Amount of sand she wanted to bring out = 5,000,000 kg = 5 * 10⁶ kg
Now, we are told that each grain of sand weighs 6.7 * 10⁻⁷ kg. Thus, the total amount of sand she brings home is;
(5 * 10⁶) * (6.7 * 10⁻⁷) = (5 * 6.7) * (10⁶ ⁻ ⁷) = 33.5 * 10⁻¹ = 3.35 kg
Thus, the correct answer is; Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
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The weight of a gold bar varies directly with its volume. If a 40 cm³ bar weighs 772 grams, how much will a 100 cm³ bar weigh?
Answers
Density is a material's intrinsic (intrinsic) property that depends on how much it occupies a particular space and possibly on temperature.
Density is expressed in units of mass divided by volume. The International Standard Unit (SI) is the kilogram per cubic meter ("cube") or kg/m3. Some commonly used density units are grams per cubic centimeter, or we can also express it as g/cm3; it is more widely used in laboratories.
Mass and volume are related by a term called density.
The formula gives the relation between the mass and the density of an object:
Density = Mass/ Volume
We can extract the desired quantity from this formula, and here it is mass, so,
Mass = Density x Volume
So, by using the above information, 100 cm^3 bar weighs 1930gm.
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6.) The perimeter of a square is 12√5 cm. Find the length of each side and the area of the
square.
Answers
the perimeter Is equal to the length of each side moltiplicated for 4, so the length of each side Is: l=P/4=12√5/4=3√5.
The area of the square Is the square of the length of each side, so: A=12√5x12√5= 144x5 (at the moment i haven't a calculatour to use)
Look at the picture and help me find how many planes there are.
Answers
Answer:
I think B- 8
The dual-energy x-ray absorptiometry (dexa) is the gold standard measurement for body composition. (gold standard = most accurate form of measurement) true false
Answers
The DEXA is the most accurate form of body composition measurement.
What is an x-ray?
An X-ray is a rapid and painless technique which is commonly used to generate images of the internal parts of a human body. It is a very effective and convenient way of looking for bone damages and other problems.
Explanation
The statement 'the dual-energy x-ray absorptiometry (DEXA) is the gold standard measurement for body composition is true. Here, the gold standard means the most accurate form of measurement.
Hence, the given statement is true.
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