The correct solution of the expression 3/4 ( 6x - 4) = 1/2 (x + 4) with the property that justify each step is shown below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
Now, Solve the expression as;
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
⇒ 9/2x - 3 = 1/2x + 2 By Distributive property
⇒ 9/2x - 3 - 1/2x = 1/2x + 2 - 1/2x Subtraction property of equality
⇒ (9/2 - 1/2)x - 3 = 2 Combine like terms
⇒ 4x - 3 = 2 Subtraction property
⇒ 4x - 3 + 3 = 2 + 3 Addition property of equality
⇒ 4x = 5
⇒ 1/4 × 4x = 1/4 × 5 Multiplication property of equality
⇒ x = 5/4
Learn more about the mathematical expression visit:
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Breaking down Brown versus Whitman: Example 2 of the chapter 1 discusses an exit poll taken during the 2010 California gubernatorial election. The administrators of the poll also collected demographic data, which allows for further breakdown of the 3889 voters from whom information was collected. Of the 1633 voters registered as Democrats, 91% voted for Brown, with a margin of error of 1.4%. Of the 1206 voters registered as Republicans, 10% voted for Brown, with a margin of error of 1.7%. And of the 1050 Independent voters, 42% voted for Brown, with a margin of error of 3.0%.
Required:
a. Do these results summarize sample data or population data?
b. Identify a descriptive aspect of the results.
c. Identify an inferential aspect of the results.
Answer:
(A) Population data
(B) The figures
(C) The classification of votes by political party
Step-by-step explanation:
(A) These results summarize population data. The population is the total 3,889 voters from whom information was collected.
The samples would be
- Voters registered as Democrats (1,633)
- Voters registered as Republicans (1,206)
- Independent Voters (1,050)
The total of members in each sample equals the total number of people in the population.
(B) A descriptive aspect of the result is the figures or percentages. They describe how (in percentage) voters penned their votes for Brown and how they penned their votes for Whitman. NOTE: To get the percentage or fraction of those who voted for Whitman, simply subtract the percentage of Brown's supporters from a total of 100%.
(C) An inferential aspect of the results is the classification of votes by different parties (the samples are the different parties involved here). This helps to infer the sources of support for Brown and the sources of support for Whitman.
For example, if the total votes for Brown (in population result analysis) are low, the Republicans are the major reason why!
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answer:
x = 0
Step-by-step explanation:
I think you mean
[tex] \dfrac{x^2 + 3x}{x^3} [/tex]
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
How do I Estimate how many cups of Fruit Trail Mix the recipe can make
Please help I don’t understand
A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?
Answer:
CP = 17000
Step-by-step explanation:
Given that,
Loss = 10%
Selling price of the watch, SP = $15,300
We need to find the cost price of the watch.
[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]
So, the cost price of the watch is 17000.
5/7x1/2 please need help now
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
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3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
Salut, am si eu o intrebare, care ma cam "bate" pot spune, deoarece imi da rezultate multiple, iar intrebarea este urmatoarea:
Cati bani poti face timp de 6 luni punand cate 5lei/zi? Dar timp de 7luni, a cate 5lei/zi??
Va rog, ajutati-ma cat puteti de repede.
Seara faina!
Dau coroana, daca pot!
Answer:
sorry
Step-by-step explanation:
find the value of x and round
Answer:
X=11.8
Step-by-step explanation:
Were best pals now lol
If p = 6 and q = 7, what is the value of 2pq?
Ο Α. 42
O B. 126
0 C. 84
OD. 72
Answer:
C. 84
Step-by-step explanation:
2 x 6 x 7 =
12 x 7 =
84
Hope that helps!
What is the value of y?
3
4
5
6
Answer:
Step-by-step explanation:
2y+4=10
we will subtract 4 from both sides
2y=10-4
2y=6
y=3
Answer:
3is your answer
2y+4=10
2y=10-4
y=6/2=3
What is the probability that the red die shows a six or the green die shows a six?
Answer:
[tex]\frac{11}{36}[/tex]
Step-by-step explanation:
= 1/6 + 1/6 - 1/6^2
Evaluate the expression when c=2 and y=-6.
-c+by
0
Х
?
Answer:
-38
Step-by-step explanation:
-c + 6y
= -(2) + 6 (-6)
= -2+(-36)
= -2 - 36
= -38
Find the value of x for this figure
Answer:
x = 101°
Step-by-step explanation:
15 + 25 + 39 + x = 180
79 + x = 180
x = 101
a statement for the equation p-6=10
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]p - 6 = 10[/tex]
Required
Write a statement for the expression
The statement is:
The cost of a grater is $6 less than the cost of an electric cooker, What is the of the electric cooker?
The above statement when translated to a mathematical expression is:
[tex]p - 6 = 10[/tex]
Where p represents the cost of the cooker
Solving for p.
[tex]p = 10 + 6 = 16[/tex]
-Ms. Gorman says, “Then victory won’t lie in the blade, but in all the bridges we’ve made.” What does she mean by ‘bridges?’
please help
Answer:
OH I love Amanda Gorman!
Step-by-step explanation:
HELP ASAP!! Mrs. Walsh is in search of a birthday gift for her niece and decided to shop at Kohls. Mrs. Walsh just had a nice shopping spree there, therefore she had $15 Kohls cash to use. She also had a friends and family coupon for 25% off the entire purchase. Mrs. Walsh made sure to search the fine print and there was nothing noted saying she cannot use BOTH coupons. Which coupon should Mrs. Walsh use first, or does it matter? Will this always be the case? How do you know? Show your work.
Answer:
The best answer would be the 25% off the entire purchase. Say for example Mrs. Walsh was willing to spend 100$ that would be 25% dollars she saved. But when it comes to save the most amount of money. If she spends under 60 dollars use the 15 dollars off. If it’s over 60 use the 25% off coupon
Which side lengths form a right triangle?
Choose all answers that apply:
A
3, 27,6
B
8,15,17
C
5,5, 50
B: 8,15,17
These lengths forms a
right angle triangle.
I WILL GIVE AWAY THE CROWN TO WHOEVER IS CORRECT
Which equation can be used to calculate the area of the shaded triangle below?
A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.
A. 2(10 + 6) = 32
B. fraction 1 over 2(10 + 6) = 8
C. fraction 1 over 2(10 × 6) = 30
D. 2(10 × 6) = 120
Answer:
d
Step-by-step explanation:
you are dealing with area so you are going to want to multiply the length and the width
Answer:
its "fraction 1 over 2(10 × 6) = 30"
Step-by-step explanation:
i just took this text a week ago that the right answer not D
whats 1+1?
please do answer!
Answer:
I thought it was 3, no wait its 2
Step-by-step explanation:
You are thinking of the Principia Mathematica, written by Alfred North Whitehead and Bertrand Russell. Here is a relevant excerpt:
Picture Below
As you can see, it ends with "From this proposition it will follow, when arithmetical addition has been defined, that 1+1=2." The theorem above, ∗54⋅43, is already a couple of hundred pages into the book (Wikipedia says 370 or so); the later theorem alluded to, that 1+1=2, appears in section ∗102, considerably farther on.
I wrote a blog article a few years ago that discusses this in some detail. You may want to skip the stuff at the beginning about the historical context of Principia Mathematica. But the main point of the article is to explain the theorem above.
The article explains the idiosyncratic and mostly obsolete notation that Principia Mathematica uses, and how the proof works. The theorem here is essentially that if α and β are disjoint sets with exactly one element each, then their union has exactly two elements. This is established based on very slightly simpler theorems, for example that if α is the set that contains x and nothing else, and β is the set that contains y and nothing else, then α∪β contains two elements if and only if x≠y.
The main reason that it takes so long to get to 1+1=2 is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps. The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do.
pls pls guys pls pls pls pls pls
Step-by-step explanation:
area of the parallelogram = height (h) × base ( b)
=. 4 m × 6 m
=. 24 m²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
please help me thank you in advance!
Answer:
4x + 5y = 20
Step-by-step explanation:
It is parallel to y = -4/5x + 6
Find the missing lengths or missing angles.
Answer:
M = 70° ( base angles of isosceles triangles are equal)
Answer: M = 70° ( base angles of isosceles triangles are equal)
Step-by-step explanation:
Write a rule that represents the function.
Directions: Find each product. Show your solution. .
1) 0.35 x 24 =
2) 0.59 x 29 =
3) 2.45 x 5 =
4) 0.84 x 3 =
5) 0.45 ~ 63=
6) 3.54 x 0.59=
7) 5.28 x 1.18 =
8) 4.37 x 0.58 =
9) 7,05 * 0.52 =
10) 2.36 x 1.28=
[tex]0.35 \times 24 = [/tex]
Answer:
.
1) 0.35 x 24 =8.4
2) 0.59 x 29 =17.11
3) 2.45 x 5 =12.25
4) 0.84 x 3 =2.52
5) 0.45 ×63=28.35
6) 3.54 x 0.59=2.0886
7) 5.28 x 1.18 =6.2304
8) 4.37 x 0.58 =2.5346
9) 7.05 * 0.52 =3.666
10) 2.36 x 1.28=3.0208
[tex]0.35 \times 24 = [/tex]=8.4
Answer:
1) 8.4
2) 17.11
3) 12.25
4) 2.52
5) 28.35 (if numbers are multiplied)
6) 2.0886
7) 6.2304
8) 2.5346
9) 3.666
10) 3.0208
Can anyone help me with my Geometry question?
Answer:
5.37ft^2
Step-by-step explanation:
Area of the square minus area of the circle, so...
Area of the square is 5x5=25
Area of the circle is pi*2.5^2=19.63
25-19.63=5.37ft^2
does anybody know what to do here?
Answer:
m=6
Step-by-step explanation:
38+8m+4=90
42+8m=90
8m=90-42
8m=48
m=6
Match each part of this algebraic expression with this appropriate description
Answer:
1) x and y --> Variable(s)
2) 1/6 --> Constant(s)
3) 12.1, 4.7, and 6 --> Coefficient(s)
4) 12.1x and 6x --> Like Terms
5) 12.1x, 4.7y, and 1/6 --> Terms
5. The perimeter of a polygon is__________ equal to 2w+21.
A. always
B. sometimes
C. never
lolamm ir
a regular polygon.
What is the equation of the exponential curve that passes through the points (0,3) and (5,96)?
Answer:
M=93/5
Step-by-step explanation: