Answer:
The number is 2
Step-by-step explanation:
The equation is: 1/4 (x + 10) = 2x - 1
1/4x + 2.5 = 2x - 1
Multiply everything by 4 to get rid of the fraction
x + 10 = 8x - 4
Subtract x from both sides
10 = 7x - 4
Add 4 to both sides
14 = 7x
Divide both sides by 7
x = 2
List and describe the characteristics of a perfectly competitive market.
A market system with perfect competition is one in which there are several buyers and sellers interacting with the same goods.
A perfectly competitive market structure is widely found a market in the Indian economy. This market often accepts prices as a single seller cannot change the market price in the economy. Together with other characteristics, this trait sets this market apart from other types of markets.
Let's discuss the characteristics of the perfectly competitive market in detail which are as follows:
1. Large number of buyers and sellers- A commodity has a high number of buyers and sellers when there is ideal competition. Because there are so many customers, each one only purchases a very little portion of the available supply.
2. Homogeneous Products- Products in this market are homogenous in nature which means the products are identical in nature. This suggests that each company's output, in terms of quantity, quality, colour, size, features, etc., is a perfect substitute for the work of the others. This suggests that consumers don't care about what different companies produce.
3. Free entry and exit of firms- In the economy, there are 2 periods: long run and short run. In the long run, there is completely free entry and exit of firms while in the short run, some factors may contribute to the obstruction of entry and exit of firms. This guarantees that all businesses will ultimately make a regular profit or no economic profit, which evaluates the opportunity cost of the business to either continue operating or close.
4. Perfect Knowledge- In this market structure both the sellers and buyers have perfect knowledge of the market factors like price prevailing in the market because of this feature no seller can charge a higher price in the market to any customer.
5. No transportation cost- The products sold in this market structure are generally sold locally so there incur no transportation cost. Also because the same price is prevailing in the market sellers not require to transport anything.
6. No promotion cost- Homogeneous product is sold and uniform prices prevail so the sellers do not need to incur any selling cost like advterisemt for such a product. So the promotional cost incurred by firms is zero.
7. Price Taker- Firms are generally price takers in this structure of the market as sellers cannot influence the price of the goods so they need to accept the price that is prevailing in the market.
8. Perfect mobility of factors of production- Factors of production like Land, Labour and Capital are perfectly mobile in this market structure. These factors can freely move in and out of industry making demand and supply equal to each other.
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Help picture below problem 12
Help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
We need zeros
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3mm=1/3need help please and I have more questions on the same topic like this .
Answer 1 1/4
Step-by-step explanation:
You can get this by finding 3/4 on the line plot and counting the x's. Then you must add the 3 x's which means 3 of 3/4 and sum is your answer. Be sure to change improper to proper fraction. 9/4 to 1 1/4.
If the mass of an object on Earth is 9 grams, what would the mass of the same object be on
the Moon?
Answer:
1.49 Grams
Step-by-step explanation:
Answer:
9 gms.
Step-by-step explanation:
mass will be same.
weight will be different.
Solve. 9 m 3 − 27 m 2 − 252 m = 0
Answer:
m = 0
m = 7
m = -4
Step-by-step explanation:
[tex]\sf 9m^3-27m^2-252m=0[/tex]
Divide by 9:
[tex]\sf \implies m^3-3m^2-28m=0[/tex]
Factor out common term m:
[tex]\sf \implies m(m^2-3m-28)=0[/tex]
Factor expression in parentheses:
[tex]\sf \implies m(m-7)(m+4)=0[/tex]
Therefore,
[tex]\sf \implies m=0[/tex]
[tex]\sf \implies m-7=0 \implies m=7[/tex]
[tex]\sf \implies m+4=0 \implies m=-4[/tex]
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
143
Step-by-step explanation:
I'm not sure if this is correct but this is what I came up with:
all angles combined must add to 360
125+55+37= 217
360-217=143
Frank ate 2/8 of the apple pie and
Jose at 3/8 of the cherry pie. How
much pie did Frank and Jose eat
altogether?
Answer:
answer 5/8 because 2/8 + 3/8= 5/8
Moose left a $7.50 tip for his waitress on a $50 restaurant bill. What percent of his bill did he leave as a tip?
Answer:
he left 15 % of his bill as a tip
Step-by-step explanation:
7.5/50 x 100
0.15 x 100
15
Percentage
7.5/50×1000.150(100)15.0%Read the question and enter your response in the box prc
How do you write an equivalent expression -1/4(-8x+12y
Need some math help 50pts
Answer:
angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees
Step-by-step explanation:
so angle 2 is also 52.7 degrees because angle 2 and 4 are vertical oppostite angles
so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180
let angle 1 be x
x + 52.7 = 180
x = 180 - 52.7
x = 127.3
Answer:
m∠1 = 127.3°
m∠2 = 52.7°
m∠3 = 127.3°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
If m∠4 = 52.7° then m∠2 = 52.7°
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ m∠3 + 52.7° = 180°
⇒ m∠3 = 180° - 52.7°
⇒ m∠3 = 127.3°
As m∠1 = m∠3 then m∠1 = 127.3° also.
A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team? Please help!
Trigonometric Equations
Solve the equation over the interval [0°, 360°)
2sin^2theta-5sintheta+3=0
Step-by-step explanation:
The solutions are
S
=
{
30
º
,
150
º
,
270
º
}
Explanation:
The equation is
2
sin
2
θ
+
sin
θ
−
1
=
0
We can factorise the LHS
(
2
sin
θ
−
1
)
(
sin
θ
+
1
)
=
0
Therefore,
sin
θ
=
−
1
,
⇒
,
θ
=
270
º
sin
θ
=
1
2
,
⇒
,
θ
=
30
º
,
150
º
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
A.. $156.72
B. $177.38
C. $180.06
D. $257.44
The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06
How to find gross incomeTotal = 10.75(1.5)(x) + 10.75(2)(y)
where,
x = hours worked on Saturday = 4.5 hoursy = hours worked on Sunday = 5 hoursTotal = 10.75(1.5)(4.5) + 10.75(2)(5)
= 72.5625 + 107.5
= $180.0625
Approximately,
$180.06
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find the area of circle o if DCBO is a rectangle and DB measure 10 units
Answer:
[tex]100\pi[/tex]
Step-by-step explanation:
Step 1: Identity the radius.
Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,
OC=OE.
Step 2: Consider the rectangle.
All diagonals in a rectangle are congruent so this means
DB= OC ( OC is also a diagonal).
Thus, OC= 10 units.
Step 3: Analyze
So this means OE is also 10 units as well.
Since we know the length of the radius, Use the area of circle,
[tex]\pi {r}^{2} [/tex]
[tex]\pi( {10}^{2} ) = 100\pi[/tex]
So the area of a circle is 100 pi.
Answer:
314.2 square units
Step-by-step explanation:
The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.
The area of a circle is given by ...
A = πr²
A = π(10 units)² = 100π units²
A ≈ 314.2 units²
The area of circle O is about 314.2 square units.
if tan=5/12
Find sinx/cosx+tanx
Answer:
[tex] \frac{10}{12} [/tex]
Step-by-step explanation:
given,
tanX = 5/12
sinX/cosX + tanX
= tanX + tanX ( sinX/cosX = tanX)
= 5/12 + 5/12
=
[tex] \frac{10}{12} [/tex]
Step-by-step explanation:
[tex] \tan(x) = \frac{5}{12} \\ \hookrightarrow \: \frac{p}{b} = \frac{5}{12} [/tex]
As,
[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
Now,
[tex] \hookrightarrow \: \frac{ \sin(x) }{ \cos(x) } + \tan(x) \\ \hookrightarrow \: \tan(x) + \tan(x) \\ \hookrightarrow \: \frac{5}{12} + \frac{5}{12} \\ \hookrightarrow \frac{5 + 5}{12} \\ \hookrightarrow \frac{10}{12} [/tex]
x -5 = 2x -8 solve this equation
Answer:
x = 3
Step-by-step explanation:
x - 5 = 2x - 8
First subtract x from both sides: -5 = x - 8
Finally, add 8 to both sides: 3 = x
Hope this helps!
1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is, an even number.
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.
Thank you so much
Answer:
C. To square a number, multiply the number by itself.
Answer:
[C] To square a number, multiply the number by itself.
Step-by-step explanation:
To square a number you multiply it by itself.
Let's go through all answer:
[A] A perfect square is a number whose square root is, an even number.
Explain for [A]:
It incorrect because perfect squares can be odd or even
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[B] The inverse of squaring a number is to divide the number by 2.
Explain for [B]:
It incorrect because square roots are made by multiplying the number to itself.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[D] All of the above
Explain for [D]
Know that [A] and [B] is wrong you can know that [D] is 100% wrong.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lenvy~
Given m \| nm∥n, find the value of x. (7x-10)° (6x-5)°
7x-10=6x-5
We simplify the equation to the form, which is simple to understand
7x-10=6x-5
We move all terms containing x to the left and all other terms to the right.
+7x-6x=-5+10
We simplify left and right side of the equation.
+1x=+5
We divide both sides of the equation by 1 to get x.
x=5
xzavier makes a conjecture that the sun of two odd integers is always an even integer which choice is the best proof of his conjecture
PLEASE I NEED THIS NOWWWWWWW
Answer:
2n+1
Step-by-step explanation:
i dont know but i tried to do it in paper and got this
Jazmine is picking an outfit to wear to a party. She has 5 pairs of pants, 7 shirts, and 4 pairs of shoes to choose from. The number of possibilities Jazmine has to wear to the party is ———- than 120.
Write an equation for a perpendicular to y = - 2 x 2 and passing through the point (-4,-5)
Y=
[tex]======================================[/tex]
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, flop it over, and change its sign.
So the slope of the given line is -2
Flop it over:
-1/2
Change its sign:
1/2
Now, let's write the equation in point-slope form:
y-y1=m(x-x1)
y-(-5)=1/2(x-(-4)
y+5=1/2(x+4)
y+5=1/2x+2
y=1/2x+2-5
[tex]\bold{y=\displaystyle\frac{1}{2} x-3}}[/tex]
[tex]==========================================[/tex]
Notes:-Hope everything's clear.Let me know if you have any questions!Enjoy your Day!Answered by:-~DnomaiD
;)
Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C
Answer:
B) B
Step-by-step explanation:
2 times 4 is 8, so in this case the option is option b as none of the other options show this.
In total,
2 * 4 = 8
60 * 4 = 240
240 + 8 = 248
1
Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money what is the most she could charge for each bracelet?
Answer:
$4
Step-by-step explanation:
For this, you want to find the greatest common factor
This basically means what number can be divided out of all of these.
So, you can find the factors for all of them and find which one appears in all three numbers and which is the greatest number
for 12:
1, 2, 3, 4, 6, 12
For 20:
1, 2, 4, 5, 10, 20
For 56:
1, 2, 4, 7, 8, 14, 28, 56
The numbers that appear in all of there are:
1, 2, and 4
And since we want to find the greatest amount she can charge for bracelet, the answer is:
$4
27 is 0.5% of what number
Answer:
54
Step-by-step explanation:
27 is half of what number?
27 x 2 = 54
:)
Answer:
135
Step-by-step explanation:
27 x 0.5 = 135
Hope it helps!!!!!
can someone please help me
Answer:
(2, 4)
Step-by-step explanation:
All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).
I hope this helps! Have a lovely day!! :)
Answer:
i belive its c
Step-by-step explanation:
you are shifting up 5 squares so you arrive at (2,4)
f(x)=3x^3 + 4x^2 - 6x -7
g(x)= 2x-4
Find (f-g)(x)
Answer:
f(x)-2x+4
Step-by-step explanation:
f(x)-g(x)
f(x)-g(x)=f(x)-(2x-4)
f(x)-(2x-4) remove parentheses for addition or subtraction
f(x)-2x+4
MATH
NATION
Question 6 of 10
< PREVIOUS QUESTION
A cup is 6.4 cm tall, not including a 0.6 cm lip. Cups are stacked inside one another. You may want to draw a diagram t
you see how the height of the stack of cups increases. Select the function that represents the height of a stack of cups
terms of the number of cups in the stack.
Answer:
If you ever need help on a question and you don’t know the answer just remember this quote “ purple is always the answer”.
Step-by-step explanation: Hope this helps u!
if <1 and <2 are vertical angles. If m<1=(5x +12) and m<2=(6x-11), find m<1
Answer:
its 23
Step-by-step explanation:
Evaluate UV if possible.
Answer: B
Step-by-step explanation:
Multiply U and V:
[tex]\begin{pmatrix}-9&1&0\\ \:4&0&2\\ \:0&1&5\end{pmatrix}\begin{pmatrix}2\\ \:-2\\ \:1\end{pmatrix}[/tex]
[tex]\mathrm{Multiply \ the \ rows \ of \ the \ first \ matrix \ by \ the \ columns \ of \ the \ second \ matrix:}[/tex]
[tex]\begin{aligned}&\left(\begin{array}{ccc}-9 & 1 & 0\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=(-9) \cdot 2+1 \cdot(-2)+0 \cdot 1 \\&\left(\begin{array}{ccc}4 & 0 & 2\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=4 \cdot 2+0 \cdot(-2)+2 \cdot 1 \\&\left(\begin{array}{lll}0 & 1 & 5\end{array}\right)\left(\begin{array}{c}2 \\-2 \\1\end{array}\right)=0 \cdot 2+1 \cdot(-2)+5 \cdot 1\end{aligned}[/tex]
[tex]=\begin{pmatrix}\left(-9\right)\cdot \:2+1\cdot \left(-2\right)+0\cdot \:1\\ 4\cdot \:2+0\cdot \left(-2\right)+2\cdot \:1\\ 0\cdot \:2+1\cdot \left(-2\right)+5\cdot \:1\end{pmatrix}[/tex]
[tex]\mathrm{Simplify\:each\:part:}[/tex]
[tex]=\begin{pmatrix}-20\\ 10\\ 3\end{pmatrix}[/tex]
Therefore, the correct answer is B