Answers
(6x -4)/12 = 24/36
6x -4 = 8 . . . . . . . . . multiply by 12
6x = 12 . . . . . . . . . . .add 4
x = 2 . . . . . . . . . . . . divide by 6
Related Questions
Three coins are in a bag. the first coin flips heads with probability 50%, the second coin flips heads with probability 60%, and the third coin flips heads with probability 70%. i pull out a coin and flip heads. if i flip this coin again, what is the probability i will get heads?
Answers
Final answer:
The probability of flipping heads again after already flipping heads once is 50%
Explanation:
The probability of getting heads when flipping a coin twice can be calculated by multiplying the probabilities of getting heads each time. Let's calculate the probability step by step:
Pick a coin: Each coin has a probability of being picked, so the probability of picking any of the three coins is 1/3.The probability of picking a coin that flips heads is 50%, since the first coin has a 50% probability of flipping heads.Flip the coin: Since we know the coin flips heads, the probability of getting heads on the second flip is still 50%, regardless of which coin was picked.Therefore, the probability of getting heads on the second flip is 50%.
I just need the answers and I promise I will give the brainliest whoever comment first
1. Vertex (1,2), Point (2,-5)
2. Vertex (-3,6), Point (1,-2)
3. Vertex (0,5), Point (1,-2)
4. Vertex (1/4, -3/2), Point (1,3)
Answers
1: y=-7(x-1)²+2
2: y=-1/2(x+3)²+6
3: y=7x²+5
4: y=8(x-1/4)²-3/2
What is the value of h in the figure below? In this diagram, ΔNMP ~ ΔONP.
Answers
The value of h in the triangle is 6 units.
What is similar triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar triangles are the triangles that are the same in shape, but may not be equal in size.
For the given situation,
The triangles ΔNMP ~ ΔONP.
If two triangles are similar then the ratio of their sides are same.
⇒ [tex]\frac{NP}{MP} =\frac{OP}{NP}[/tex]
⇒ [tex]\frac{h}{12} =\frac{3}{h}[/tex]
⇒ [tex](h)(h)=(3)(12)[/tex]
⇒ [tex]h^{2} =36[/tex]
⇒ [tex]h=\sqrt{36}[/tex]
⇒ [tex]h=6[/tex]
Hence we can conclude that the value of h in the triangle is 6 units.
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What is the value of X?
Answers
Answer D x=40
since x+(4x-20)=180
==>5x=200
==>x=40
Jon’s car averages 9 kilometers per liter of gas. How many kiloliters can Jon drive with 22 liters of gas in his car?
Answers
Final answer:
Jon can drive 198 kilometers with 22 liters of gas in his car since the car averages 9 kilometers per liter.
Explanation:
The student's question asks how many kiloliters Jon can drive with 22 liters of gas in his car, given that the car averages 9 kilometers per liter of gas. To solve this problem, we will convert liters to kiloliters and then calculate the total distance that Jon can drive.
Firstly, we must recognize that 1 kiloliter (kL) is equal to 1,000 liters (L). Therefore, to convert 22 liters to kiloliters, we simply divide 22 by 1,000, which gives us 0.022 kL.
Now, since Jon's car goes 9 kilometers per liter, to find out how far he can go with 22 liters, we multiply 9 kilometers/liter by 22 liters:
9 km/L × 22 L = 198 km
To express this distance in kiloliters, we once again need to note that 1 kL is the same as 1,000 L. Since the car's consumption is measured per liter, we don't actually need to convert kilometers to kiloliters - the initial conversion of liters to kiloliters was not required to answer this particular problem.
Therefore, Jon can drive a total of 198 kilometers with his 22 liters of gas.
Jon's car with fuel efficiency of 9 km/l can drive 198 kilometers with 22 liters of gas. The distance in volume terms is 0.022 kiloliters, illustrating that 22 liters of gasoline would be used on such a trip.
Explanation:The student's question is how many kiloliters Jon can drive with 22 liters of gas if his car averages 9 kilometers per liter of gas. To answer this question, we need to perform a simple multiplication. Given that Jon's car has a fuel efficiency of 9 kilometers per liter, we multiply this rate by the amount of fuel he has, which is 22 liters, to determine the distance he can drive:
9 kilometers/liter × 22 liters = 198 kilometersTo convert kilometers to kiloliters (assuming the question intends to ask for the distance in kilometers rather than 'kiloliters'), we note that kiloliters is not a unit of distance, but rather a volume. Therefore, it is likely that the question contains a typo and should ask how many kilometers can Jon drive. To find out how many kiloliters that distance amounts to, we remember that 1 kiloliter equals 1,000 liters, so:
198 kilometers × (1 liter/9 kilometers) = 22 liters22 liters / 1,000 = 0.022 kilolitersTherefore, Jon can drive 198 kilometers with 22 liters of gas, which equals 0.022 kiloliters of gasoline consumed.
A lawn mower uses 0.7 gallons of gas every 3 hours. the gas tank holds 2 gallons. how long can the mower run on a full tank?
Answers
[Divide by 0.7 through]
1 gallon = 4.286 hours
[Multiply by 2 through]
2 gallon = 4.286 x 2
2 gallon = 8.57 hours
The lawn mower can run for approximately 8 hours and 34 minutes on a full tank of gas.
Explanation:
To find out how long the lawn mower can run on a full tank, we can divide the total amount of gas in the tank by the amount of gas used per hour. The lawn mower uses 0.7 gallons of gas every 3 hours. So, it uses 0.7/3 = 0.2333 gallons of gas per hour. The gas tank holds 2 gallons, so the lawn mower can run for 2/0.2333 = 8.57 hours, which is approximately 8 hours and 34 minutes.
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Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours. Each paddleboard rental costs $3.75 per hour
Answers
The sum of two numbers is 50 and the difference is 22 . what are the numbers?
Answers
substitute the first x into the second equation (22-y)-y=10 22-2y=10 22-10=2y 12=2y y=6
now plug in the known y into the first equation x+6=22 x=22-6 x=16
now, let's check this sum is 22=16+6 checks difference is 10=16-6 checks
16 is the larger number
6 is the smaller number.
hope this helps.
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?
Answers
Answer:
[tex]x-4y=8[/tex]
Step-by-step explanation:
Given : (–4, –3) , (12, 1)
Solution:
[tex](x_1,y_1)=(12,1)[/tex]
[tex](x_2,y_2)=(-4,-3)[/tex]
Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Substitute the given values.
[tex]y-1=\frac{-3-1}{-4-12}(x-12)[/tex]
[tex]y-1=\frac{-4}{-16}(x-12)[/tex]
[tex]y-1=\frac{1}{4}(x-12)[/tex]
Now standard form of equation of line = [tex]Ax+By=C[/tex]
So, [tex]y-1=\frac{1}{4}(x-12)[/tex]
[tex]4(y-1)=(x-12)[/tex]
[tex]4y-4=(x-12)[/tex]
[tex]12-4=x-4y[/tex]
[tex]8=x-4y[/tex]
[tex]x-4y=8[/tex]
Hence the standard form of the equation for this line is [tex]x-4y=8[/tex]
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Answers
1. f(8) = 68,594
2. f(11) = 91,299
3. f(2) = 38,720
4. f(17) = 161,743
What’s the answer to this?
Answers
What are the coordinates of the point? A coordinate grid with a dot placed in the second quadrant. The dot is to the left of positive 4 on the y axis and above negative 2 on the x axis
Answers
The y-coordinate is essentially given, and is y=4.
Imagine drawing a vertical line thru x=-2. This line will intersect y=4 at (-2,4).
The coordinates of the point are (-2, -4).
The expression sin x (cos x cot x - sin x) simplifies to?
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Hey !!
Check the attachment.
Hope it helps you :)
BRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!!! HELP PLZ!!!!!! Use the net to determine the lateral surface area.
The net of a triangular prism with the height of 4 inches, and each leg of the triangular base is 6 inches and its height is 5.2 inches is laid flat.
**i can't paste the picture, so this is all I have. If you can please help, i would appreciate it so much. plz help, ty!
Answers
What is the specific name for a regular quadrilateral?
Answers
The specific name for a regular quadrilateral is a polygon
~cutie
In the year 1997 d takahashi and y kanada calculated pi to 51,539,600,000 decimal places. what type of computer did they use? where did they do the calculations
Answers
They used a computer called the HITACHI SR2201 which has 1024 processors. As an example most desktops in use now (by individuals such as you and I -- not by computer scientists doing research) have 1-2 processors with 2 cores each.
19. How many 2-inch segments are there in 12 ft.? A. 24 B. 72 C. 10 D. 6
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There are 24 2-inch segments in 12 ft.
The U.S. government borrows money by _____.
A. asking banks or foreign investors
B. printing money
C. issuing stocks
D. issuing Treasury bonds and other government-backed securities
Answers
-Hope this helps :)
Answer:
D. issuing Treasury bonds and other government-backed securities
Step-by-step explanation:
Governments create debt by issuing government bonds and bills. Less creditworthy countries sometimes borrow directly from a supranational organization (e.g. the World Bank) or international financial institutions.
Treasury bonds are how the US - and all governments for that matter - borrow hard cash: they issue government securities, which other countries and institutions buy. So, the US national debt is owned mostly in the US - but the $5.4tn foreign-owned debt is owned predominantly by Asian economies.
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Answers
After replacement, we now have the equation shown in A.
Hope this helps!
Movements to the left and to the right in graphs change the x-values, while movements up and down in graphs change the y-values. Further, when shifting left, you'll add to x, and when shifting right, you'll subtract from x. When shifting up, you'll add to y, and when shifting down, you'll subtract from y. (Upward and downward movements are more intuitive than movements to the left or movements to the right.)
g(x) is f(x) shifted to the left 3 units, so we'll add 3 to x in the function:
f(x) = x² + 5x - 1
g(x) = (x + 3)² + 5(x + 3) - 1
The answer is A.
Choose all that are correct.
An inscribed angle measures 80° with an arc measurement of 160°.
An inscribed angle measures 30° with an arc measurement of 15°.
A central angle measures 50° with an arc measurement of 25°.
An arc measures 40° with an inscribed angle is 20°.
Answers
Answer: Second and third options are correct.
Step-by-step explanation:
As we know that
Angle at the center is the double the angle formed at the circumference of the circle.
So, An inscribed angle measure 30° if the angle formed at the circumference ( an arc measurement is of 15°)
Similarly, A central angle measures 50° with an arc measurement of 25°.
Hence, Second and third options are correct.
Answer:
The answer is the first one and the last one.
An inscribed angle measures 80° with an arc measurement of 160°.
and
An arc measures 40° with an inscribed angle is 20°.
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Select the locations on the number line to plot the points 9/2 and −7/2 .
Answers
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
The locations of the given numbers on the number line are needed.
The locations have been shown in the figure attached.
The numbers are [tex]\dfrac{9}{2}[/tex] and [tex]-\dfrac{7}{2}[/tex]
The numbers can be written as
[tex]\dfrac{9}{2}=4.5[/tex]
[tex]-\dfrac{7}{2}=-3.5[/tex]
In the given number line it can be seen that the longer vertical lines are whole numbers which are positive and negative.
The smaller vertical lines are an increment of [tex]0.5[/tex].
As the extreme ends are [tex]+5[/tex] and [tex]-5[/tex] the center longer vertical line will be [tex]0[/tex].
So, [tex]4.5[/tex] will be the smaller vertical line to the left of [tex]+5[/tex].
[tex]-3.5[/tex] will be the smaller vertical line to the right of [tex]-4[/tex].
The locations have been shown in the figure attached.
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The number of adults who attend a county fair (measured in hundreds of people) is represented by the function a(d)=−0.3d2+4d+9 , where d is the number of days since the fair opened. The number of children who attend the same county fair (measured in hundreds of people) is represented by the function c(d)=−0.2d2+5d+11 , where d is the number of days since the fair opened. What function, f(d) , can be used to determine how many more children than adults attend the fair on any day?
Answers
Given is the function for number of adults who visit fair at day 'd' after its opening, a(d) = −0.3d² + 4d + 9.
Given is the function for number of children who visit fair at day 'd' after its opening, c(d) = −0.2d² + 5d + 11.
Any function f(d) to find excess of children more than adults can be written as follows :-
f(d) = c(d) - a(d).
⇒ f(d) = (−0.2d² + 5d + 11) - (−0.3d² + 4d + 9)
⇒ f(d) = -0.2d² + 0.3d² + 5d - 4d + 11 - 9
⇒ f(d) = 0.1d² + d + 2
Given f(x)=4x^2−5 and g(x)=x+3 . What is (fg)(x) ?
Answers
The Main answer is [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex] Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex] the value of [tex](fg)(x)[/tex] is [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]
To find the product of two functions [tex]f(x)[/tex] and [tex]g(x),[/tex] denoted as [tex](fg)(x)[/tex], we simply multiply the two functions together.
Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex], we multiply them to get [tex](fg)(x)[/tex]:
[tex](fg)(x)=f(x)*g(x)=(4x^{2} -5)*(x+3).[/tex]
Now, we distribute [tex]4x^{2} -5[/tex] across [tex](x+3)[/tex]:
[tex](fg)(x)=4x^{2} *(x+3)-5*(x+3).[/tex]
Expanding further:
[tex]=4x^{3} +12x^{2} -5x-15.[/tex]
So, [tex](fg)(x)=4x^{3} +12x^{2} -5x-15.[/tex]
COMPLETE QUESTION:
Given [tex]f(x)=4x^{2} -5[/tex] and [tex]g(x)=x+3[/tex]. What is [tex](fg)(x)[/tex]?
What is the value of 238 - 3x^2 when x=4??
Answers
=238 - 3x^2
substitute 4 for x
=238 - 3(4)^2
multiply exponents first
=238 - 3(16)
=238 - 48
=190
ANSWER: 190
Hope this helps! :)
A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the price of the other type of nuts he uses? Answer:
Answers
He has 40 pounds that cost 75 cents/pound
He wants to sell 100 pounds for 66 cents a pound.
The equation looks like this.
40*75 + 60*x = 100*66
3000 + 60x = 6600 Subtract 3000 from both sides.
60x = 6600 - 3000
60x = 3600 Divide by 60
x = 3600/60
x = 60
He needs to mix 60 pounds of 60 cent nuts
60 cents a pounds is needed.
From the question, we are given that:
100 one pound of nut to sell for 66 percent a jar 40 pound of nuts worth 75 cents a poundSince the question says he plans to use 40 pounds and he wants to make up 100 pounds jar of nut, therefore you should know that 60 pounds of the nuts is needed.
Further ExplanationLet Y be the price of 60 pounds of nuts
Therefore, the equations should as follows:
(40 x 75) + (60 x y) = 66 x 100
= 3000 + 60y = 6600
60y = 6600 – 3000
60y = 3600 (divide both side by 60)
60y/60 = 3600/60 (60 cross out 60)
Y = 3600/60
Y = 60
Therefore, 60 cents a pounds is needed.
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66 cents jar40 pounds of nut100 one-pound60 cents75 cents a poundGiven the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:
f(x) = 2x + 21
g(x) = x − 24
A)−27
B)−21
C)6
D)48
I THINK ITS D BUT IM NOT SURE HELP ME PLEASE IM RIGHT?,
Answers
.. f(3) = 2*3 +21 = 27
.. g(3) = 3 -24 = -21
(f +g)(3) = f(3) +g(3) = 27 -21 = 6
Or, you can find the combined function and evaluate that for x=3.
.. (f +g)(x) = f(x) +g(x)
.. = (2x +21) +(x -24)
.. = 3x -3
The
.. (f +g)(3) = 3*3 -3 = 6
Either way, the best choice is C) 6.
What is the solution to the system of equations?
{x + 3y + 2z = 8
{3x + y + 3z = -10
{-2x -2y - z = 10
A: (-10, -2, 6)
B: (10, 2, 6)
C: (-10, 2, 6)
D: (-10, 2, -6)
Answers
my final balance afrer 48 months was $896.00 if i originally put $800.00 into the bank what was the interset rate
Answers
The formula in computing the maturity value of a savings with a simple interest rate is:
MV = P (1 + rt)
Where: MV = maturity value after certain years
P = principal amount
r = interest rate
t = time in years
If you would manipulate the formula to solve for r in terms of the other variables, you will get this formula:
1 + rt = MV/P
rt = MV/P – 1
r = (MV/P – 1)/t
Substituting the given amounts to the formula:
r = ($896/$800 – 1)/4
r = (1.12 – 1)/4
r = 0.12/4
r = .03 or 3%
Note: The 48 months is equivalent to 4 years (48/12 = 4)
Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis what is the lowest altitude guillermo will reach?
Answers
The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.
We can simply the equation to:
y = (1/20)x^2 - 5x
Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.
Answer:
-125 meters.
Step by step explanation:
We have been given that Guillermo is a professional deep water free diver. his altitude (in meters relative to sea level), x seconds after diving, is modeled by [tex]g(x)=\frac{1}{20}x(x-100)[/tex].
We have been given a quadratic function and the minimum value will occur at vertex.
First of all we will write it in standard quadratic form by using distribution property.
[tex]\frac{x^{2}}{20}-\frac{100x}{20}[/tex]
[tex]\frac{x^{2}}{20}-5x[/tex]
Now we will find vertex of our parabola using [tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-5)}{2(\frac{1}{20})}[/tex]
[tex]x=\frac{5}{(\frac{2}{20})}[/tex]
[tex]x=\frac{5\times20}{2}[/tex]
[tex]x=5\times10[/tex]
[tex]x=50[/tex]
Now let us substitute x=50 in our quadratic function to find lowest altitude of Guilermo.
[tex]g(50)=\frac{50^{2}}{20}-5\times 50[/tex]
[tex]g(50)=\frac{2500}{20}-250[/tex]
[tex]g(50)=125-250[/tex]
[tex]g(50)=-125[/tex]
Therefore, the lowest altitude Guilermo will reach is -125 meters.
The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month. how much is your cost per visit during the year?
Answers
Cost of individual visit per month = $34.5/8 = $4.3125
Answer:
cost per visit during the year= $4.31
Step-by-step explanation:
The abs r us bodybuilding club has an annual membership fee of $414. you plan to visit 8 times each month
annual membership fee = $414 times each month
1 year = 12 months
Membership fee for 1 month = 414/12= 34.5
In 1 months total visit is 8
To find the cost per visit we divide the monthly fee by 8
Cost per visit = [tex]\frac{34.5}{8} =4.3125[/tex]
cost per visit during the year= $4.31