Answer:
x = 7
Step-by-step explanation:
First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).
If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.
I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.
3x -3x +1 = 5x -3x -13
1 = 2x -13 . . . . . . . . . . . . combine like terms
Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:
1 +13 = 2x -13 +13
14 = 2x . . . . . . . . . . . . combine like terms
Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.
(1/2)(14) = (1/2)(2x)
7 = x . . . . the solution
__
It is generally a good idea to check your work by seeing if your solution value satisfies the equation:
3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation
21 +1 = 35 -13
22 = 22 . . . . . . x = 7 is the solution
_____
Additional comment
By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...
-2x +1 = -13
Subtracting 1 would give
-2x = -14
and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.
Two points (p, q) on a linear supply function are ($2.55, 98,000) and ($6, 195,500).
⦁ Determine the supply function q = f(p).
⦁ What price would result in supplier offering 145,000 units for sale?
⦁ Interpret the slope of the function.
⦁ Determine the p intercept.
⦁ Sketch f(p)
Answer:
q ≈ 28270p +25935$4.21 will give a supply of 145,000slope is the supply increase per dollar of pricep-intercept is about -$0.92a graph is attachedStep-by-step explanation:
The two-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
q = (195500 -98000)/(6.00 -2.55)(p -2.55) +98000
q = 97500/3.45(p -2.55) +98000
q ≈ 28269.9p +25934.8
__
For a supply of 145000, the price would need to be ...
145000 = 28269.9p +25934.8
119065 = 28270p
119065/28270 = p = 4.21
A price of $4.21 will result in a supply of $145,000.
__
The slope is the additional amount supplied for each dollar increase in price.
__
The price value that results in a supply of zero is ...
0 = 28270p +25935
-25935 = 28270p
-25935/28270 = p ≈ -0.92
The p-intercept is about -$0.92.
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Answer:
$127,618,279.99
Step-by-step explanation:
Adjusted for inflation, $163,882,660.00 in 1993 is equal to $127,618,279.99 in 1987.
Annual inflation over this period was 4.26%.
fill in the table using the function rule: y=1 + 4x
Answer:
13, 25, 37, 41
Step-by-step explanation:
By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.
Solve equation 4/3y = 18
Answer:
See Below
Step-by-step explanation:
[tex]\frac{4}{3} y = 18\\[/tex]
3 x [tex]\frac{4}{3} y = 18\\[/tex] x3
4y = 54
divide by 4
y= 13 1/2 or 13.5
Solve the equation. 25=9x+4-6x
Step-by-step explanation:
[tex]25 = 9x + 4 - 6x[/tex]
[tex]25 - 4 = 9x - 6x \\ [/tex]
[tex]21 = 3x[/tex]
[tex] \frac{21}{3} = x[/tex]
[tex]7 = x[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: 25 = 9x + 4 - 6x}}[/tex]
[tex] \sf{Step \: 1 \: }[/tex] : Collect like terms
Like terms are those which have same base
[tex] \longmapsto{ \sf{25 = 3x + 4}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Swap the sides of the equation
[tex] \longmapsto{ \sf{3x + 4 = 25}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] : Move 4 to right hand side and change it's sign
[tex] \longmapsto{ \sf{3x = 25 - 4}}[/tex]
[tex] \tt{Step \: 4}[/tex] : Subtract 4 from 25
[tex] \longmapsto{ \sf{3x = 21}}[/tex]
[tex] \tt{Step \: 5}[/tex] : Divide both sides by 3
[tex] \longmapsto{ \sf{ \frac{3x}{3} = \frac{21}{3}}} [/tex]
[tex] \tt{Step \: 6}[/tex] : Calculate
[tex] \longmapsto{ \sf{x = 7}}[/tex]
The value of x is 7
Hope I helped!
Best regards! :D
~TheAnimeGirl
I need help with this question
Answer:
188 miles or 188.5 miles
Step-by-step explanation:50-17.95/17
Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0
Steps to solve:
f(x) = 5x - 3
~Substitute
f(-2) = 5(-2) - 3
~Simplify
f(-2) = -10 - 3
~Subtract
f(-2) = -13 (Option A)
Best of Luck!
Answer:
Step-by-step explanation:
f(-2) = 5(-2) - 3 = -10 - 3 = -13
A is the answer
Which situation can be represented by the inequality 3.35x + 25 < 6.75x + 5?
Answer:
x >100/17
plz mark brainliest
A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67
Answer:
velocity of the car is 16.667
Step-by-step explanation:
first
changing si unit of both km and hrs into meter and second
then
v= m/s
v=240000/14400
v= 16.667m/s
Answer:
answer
Step-by-step explanation:
Velocity equals distance divided by time.
240 km divided by 4 h
Velocity equals 60 km/h W
Hi I am totally confuse with this math can you please help
thank yo I will give you the brainlest I aapreciate any help
Answer:
#5 is b) -250, -200, 0, 300
Step-by-step explanation:
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
I need help. Three different polygons in this shape and explain how I know? Help please thanks!
Answer:
why it say least
Step-by-step explanation:
as the first word
Well, it's a square, a rhombus and a rectangle.
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.
A rhombus is a quadrilateral whose four sides all have the same length.
Hope I helped :)
Question 1
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Solve the equation using the Subtraction and Addition Properties of Equality.
b + 17 = 35
be
Question Help: Video
Written Example
Submit Question
Answer:
b=18
Step-by-step explanation:
b+17=35
-17 -17
b=18
Write an equation for the line that is parallel to y=-4x+2 and goes through (0,7)
Answer: y=-4x+7
Step-by-step explanation:
To find a parallel line, we know that the slope must be the same because parallel lines NEVER touch or cross. All we have to do is use the given point to find the y-intercept.
y=-4x+b
7=-4(0)+b [multiply]
b=7
Now, we know that the final equation is y=-4x+7.
Answer:
The answer is
y = - 4x + 7Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is y = - 4x + 2
Comparing with the general equation above
Slope / m = - 4
Since the lines are parallel their slope are also the same
Slope of parallel line = - 4
So the equation of the line using point (0,7) and slope - 4 is
[tex]y - 7 = - 4(x - 0) \\ y - 7 = - 4x[/tex]
We have the final answer as
y = - 4x + 7Hope this helps you
When people clear land to build a house or to plant corn and other crops, they are primarily modifying the __________. A. atmosphere B. hemisphere C. hydrosphere D. lithosphere
Answer:
d lithosphere
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i just took the test
This graph shows the solution to which inequality?
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)
Answer:
The answer is
8.6 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8,9) and (3,2)
The distance between them is
[tex]d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...[/tex]
We have the final answer as
8.6 units to the nearest tenthHope this helps you
A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now
Answer:
Step-by-step explanation:
Below the sea level should be mentioned by negative value
So, It is = - 4.5
Plz help! I dont understand this
11-3(a-2)=27 HELP PLZ
Answer:
a==3.3 a=-3 1/3 a=-10/3
all of those are different possible answers
Step-by-step explanation:
Solve -2a -5 > 3 Which graph shows the solutions?
Answer: a< -4 D
Step-by-step explanation:
pls help me pls pls
x= -4
mark this as brainliest!!!
follow me!
Step-by-step explanation:
solution,or, 5x-3(x-2)=3x-2(x-1) or,5x-3x+6 =3x-2x+2 or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)
10y
6
2-
10
-2
ZO
-4
-6
-8
-10
Write the equation of the line shown in function form:
Equation: f(x) =
A retail study by Deloitte revealed that 54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned. Suppose 41% of adults regularly recycle aluminum cans and believe that plastic, noncompostable shopping bags should be banned. In addition, suppose that 60% of adults who do not believe that plastic, noncompostable shopping bags should be banned do recycle. If an adult is randomly selected,
a. What is the probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned?
b. What is the probability that the adult does recycle?
c. What is the probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned?
d. What is the probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned?
e. What is the probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle?
Answer:
a) 27.6%
b) 68.6%
c) 81.6%
d) 59.0%
e) 40.2%
Step-by-step explanation:
Let's say R = recycles, and B = believes bags should be banned.
We're given the following probabilities:
P(B) = 0.54
P(R and B) = 0.41
P(R given NOT B) = 0.60
a. Use conditional probability:
P(R given NOT B) = P(R and NOT B) / P(NOT B)
0.60 = P(R and NOT B) / (1 − 0.54)
P(R and NOT B) = 0.276
b. P(R) = P(R and B) + P(R and NOT B)
P(R) = 0.41 + 0.276
P(R) = 0.686
c. P(R or B) = P(R) + P(B) − P(R and B)
P(R or B) = 0.686 + 0.54 − 0.41
P(R or B) = 0.816
d. P(NOT R or NOT B) = 1 − P(R and B)
P(NOT R or NOT B) = 1 − 0.41
P(NOT R or NOT B) = 0.59
e. P(NOT B given R) = P(NOT B and R) / P(R)
P(NOT B given R) = 0.276 / 0.686
P(NOT B given R) = 0.402
Using conditional probability, it is found that:
a) 0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.
b) 0.686 = 68.6% probability that the adult does recycle.
c) 0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.
d) 0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.
e) 0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.
-----------------------------------
Conditional probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.Item a:
Event A: Bags should not be banned.
Event B: Recycle.
54% believe shopping bags should be banned, thus 46% believe that it should not be banned, and [tex]P(A) = 0.46[/tex].Of those, 60% recycle, thus [tex]P(B|A) = 0.6[/tex].We want [tex]P(A \cap B)[/tex].[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A) = 0.46(0.6) = 0.276[/tex]
0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.
Item b:
First, we have to find the proportion that recycle, given that they believe bags should be banned. Thus:
Event A: Believe bags should be banned.Event B: Recycle.54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned.
Thus [tex]P(A) = 0.54[/tex].
41% of adults regularly recycle aluminum cans and believe that plastic, noncompostable shopping bags should be banned.
Thus P(A \cap B) = 0.41[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.41}{0.54} = 0.7592[/tex]
The probability that recycle is the sum of:
60% of 46%(do not believe bags should be banned)75.92% of 54%(believe bags should be banned).Then:
[tex]p = 0.6(0.46) + 0.7592(0.54) = 0.686[/tex]
0.686 = 68.6% probability that the adult does recycle.
Item c:
Sum of:
Recycle(68.6%).Do not recycle but believe bags should be banned(24.08% of 54%).Thus:
[tex]p = 0.686 + 0.2408(0.54) = 0.816[/tex]
0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.
Item d:
Sum of:
Do not recycle(31.4%).Recycle but does not believe bags should be banned(27.6%).Thus:
[tex]p = 0.314 + 0.276 = 0.59[/tex]
0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.
Item e:
Event A: Recycle.Event B: Believes should not be banned.68.6% recycle, thus [tex]P(A) = 0.686[/tex]27.6% recycle and believe bags should not be banned, thus [tex]P(A cap B) = 0.276[/tex]Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.276}{0.686} = 0.402[/tex]
0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.
A similar problem is given at https://brainly.com/question/21408404
5x + 3y = 25 & x - 3y = 15.
Answer:
x = 20/3
Step-by-step explanation:
There are 4 consecutive integers that have a sum of 34. What are the integers
Answer:
consider integer are x, x+1, x+2, x+3
now x+(x+1) + (x+2) + (x+3) = 34
or, 4x + 6 = 34
or, 4x =28
x= 7
x =7
x+1 = 7+1 =8
x+2= 7+2=9
x+3= 7+3 =10
Answer:
Step-by-step explanation: 7,8,9,10
Snow is falling steadily in syyracuse ny. After two hours 4inches of snow has fallen. write an equation that gives the amount of snow that has fallen after x hours at this rate
Answer:
26
Step-by-step explanation:
For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
[500, 600, 500]
Step-by-step explanation:
Your friendly local matrix reducer will tell you the last column should be ...
500
600
500
__