fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
Answers
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Related Questions
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answers
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
D
Question 1
5 pts
Which situation results in a final value of zero?
A. The price of a gallon of juice was $3.00. In one week, the price
of a gallon of juice increased $0.50 and then decreased $0.50
B. A submarine was 250 meters below sea level. In one hour, the
submarine went up 200 meters and then went up 50 meters.
C. A person started with $125.00 and then spent $45.00 at one
grocery store and $70.00 at another grocery store.
D. After eating 2 pieces of fruit, each containing 100 calories, an
athlete burned 100 calories while running.
Answers
Answer:
B.A submarine was 250 meters below sea level...
Step-by-step explanation:
I. Given went down is negative.value, and went up is positive value
He went down for 250, in one hr, he went up 200 and 50 meters
= -250 + 200 + 5
= -250 + 250
= 0
That means he's already beyond the surface.
Hope that help :)
CAN SOMEONE HELP ME PLS
Answers
EXPLANATION: C. FAE
100 Points! Algebra question, only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
Answers
F/g • x
Fx/g is the answer.
Apply the fraction rule:
\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)
Answer:
\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)
Imani’s rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase from $825 to 875. Who had the larger percent increase in their rent? Remember to set up your ratios using the original rent.
Answers
To calculate the percentage increase between two numbers, we work out the difference between the two numbers being compared and divide the increase by the original number and multiply the answer by 100.
The formula is given to be:
\(PI=\frac{New\text{ }Amount-Old\text{ }Amount}{Old\text{ }Amount}\times100\)Imani's Rent Increase
Old rent: $560
New rent: $600
The percentage increase is:
\(\begin{gathered} PI=\frac{600-560}{560}\times100=\frac{40}{560}\times100 \\ PI=7.14\% \end{gathered}\)Ariana's Rent Increase
Old rent: $825
New rent: $875
The percentage increase is:
\(\begin{gathered} PI=\frac{875-825}{825}\times100=\frac{50}{825}\times100 \\ PI=6.06\% \end{gathered}\)Therefore, Imani had a larger percentage increase.
John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.
Answers
Answer: 800 - 25w = 1400
Step-by-step explanation:
What is there to edplain??
Answer:
800+25w=1400
Step-by-step explanation:
took the test
Which amount is greater, 5 feet or 2 yards?
Answers
Answer:
2 yards is greater then 5 feet
Step-by-step explanation:
A yard is 3 feet, 3+3=6 I hope this helps!
7. The probability that a randomly chosen student will be left-handed is .09: a) In a class of 108, find the probability that there will be (exactly) 8 left-handed students. b) The classroom has 12 desks designed for people who are left-handed. Use an appropriate approximate method to find the probability that there are enough for all the left-handed students.
Answers
Solution :
Let x be student will be left handed
P = 0.09
Using the normal approximation to binomial distribution,
a). n = 108,
μ = np = 9.72
\($\sigma = \sqrt{np(1-p)}$\)
\($=\sqrt{8.8452}$\)
= 2.9741
Required probability,
P(x=8) = P(7.5 < x < 8.5)
\($=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$\)
\($=P(-0.75 < z < -0.41)$\)
Using z table,
= P(z<-0.41)-P(z<-0.75)
= 0.3409-0.2266
= 0.1143
b). P(x=12) = P(11.5 < x < 12.5)
\($=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$\)
\($=P(0.60 < z < 0.94)$\)
Using z table,
= P(z< 0.94)-P(z< 0.60)
= 0.8294 - 0.7257
= 0.1006
Necesito ayuda Urgentemente
Answers
Answer:
x = 100° || y = 20°
Step-by-step explanation:
Two pairs of parallel lines visible.
Create equations 1 and 2:
x - 2y = 60°
x + y = 120°
Make the x subject:
x - 2y = 60°
x = 60° + 2y ........equation 1
x + y = 120°
x = 120° - y ........equation 2
Solve them simultaneously:
120° - y = 60° + 2y
2y + y = 120°- 60°
3y = 60°
y = 20°
If y is 20° then the x is:
x = 120° - y
x = 120° - 20°
x = 100°
Calculate the sector area: 16 in 90°
Answers
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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For each of the following vector fields
F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potentialfunction f (that is, ∇f = F) with f(0,0)=0. If it is not conservative, type N.
A. F(x,y)=(−16x+2y)i+(2x+10y) j f(x,y)= _____
B. F(x,y)=−8yi−7xj f(x,y)=_____
C. F(x,y)=(−8sin y)i+(4y−8xcosy)j f(x,y)=_____
Answers
(A)
\(\dfrac{\partial f}{\partial x}=-16x+2y\)
\(\implies f(x,y)=-8x^2+2xy+g(y)\)
\(\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y\)
\(\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\)
\(\implies g(y)=5y^2+C\)
\(\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}\)
(B)
\(\dfrac{\partial f}{\partial x}=-8y\)
\(\implies f(x,y)=-8xy+g(y)\)
\(\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x\)
\(\implies \dfrac{\mathrm dg}{\mathrm dy}=x\)
But we assume \(g(y)\) is a function of \(y\) alone, so there is not potential function here.
(C)
\(\dfrac{\partial f}{\partial x}=-8\sin y\)
\(\implies f(x,y)=-8x\sin y+g(x,y)\)
\(\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y\)
\(\implies\dfrac{\mathrm dg}{\mathrm dy}=4y\)
\(\implies g(y)=2y^2+C\)
\(\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}\)
For (A) and (C), we have \(f(0,0)=0\), which makes \(C=0\) for both.
Which of the following are solutions to the equation below?
Check all that apply.
x²-2x-24 = 0
Answers
Answer:
\(x=6, x=-4\)
Step-by-step explanation:
1) Let's solve this quadratic equation by factorizing. We need to find two numbers that multiply to -24 and add up to -2 simultaneously. If we pull out the factors of -24, two of them will be -6 and 4, which multiply to -24 as well as add up to -2.
3) Write \(-2x\) as a sum.
\(x^2-6x+4x-24=0\)
Now, we can factor them out by grouping.
\(x^2-6x+4x-24=0\\x(x-6) + 4(x-6)=0\)
Since, \(x -6\) is common in both of the factors, we only take one of the \(x -6\) along with \(x\) and \(4\) and all equated to 0.
\((x-6)(x+4) = 0\)
Solve for x: \(x-6=0\)
\(x=0+6\\x=6\)
Solve for x: \(x+4=0\)
\(x=0-4\\x=-4\)
Therefore, our solutions to this quadratic equation are \(x=6, x=-4\).
x=6
x=-4
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answers
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
Can someone help me?
Answers
Answer:
(i) \(y = 2x(x-5)\)
(ii) zeros: x = 0 and x = 5
axis of symmetry: x = 2.5
(iii) vertex: (2.5, -12.5)
(iv) see attached
Step-by-step explanation:
Part (i)
Factor: \(y=2x^2-10x\)
Factor out the common term \(2x\):
\(\implies y=2x(x-5)\)
Part (ii)
Zeros occur when \(y=0\)
\(\implies 2x(x-5)=0\)
Therefore:
\(\implies 2x=0 \implies x=0\)
\(\implies (x-5)=0 \implies x=5\)
So the zeros are x = 0 and x = 5
The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.
\(\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5\)
Therefore, the axis of symmetry is \(x=2.5\)
Part (iii)
The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.
\(\implies 2(2.5)^2-10(2.5)=-12.5\)
So the vertex is (2.5, -12.5)
Part (iv)
Plot the zeros and the vertex.
As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.
Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.
*see attached*
20 POINTS!!!!! If 6+2 = 8, does 6 + 2 + 3 = 8 + 3 ? Why or why not?
Answers
How do you find the standard error of two samples?
Answers
In order to find the standard error of two samples, the following are needed:
1: Find the mean. .
2: Find each score's deviation from the mean. ...
3: Square each deviation from the mean.
4: Find the sum of squares.
5: Find the variance.
6: Find the square root of the variance.
What is a standard error?The standard error is a statistical term that refers to the degree to which a sample distribution accurately represents a population using standard deviation.
A statistic's standard error is the standard deviation of its sampling distribution or an estimate of that standard deviation. The standard error of the mean is used when the statistic is the sample mean.
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To determine the standard error of two samples the following procedure are followed
First, determine the mean.
second: Calculate the variation between each score and the mean
third: Square each variation from the mean
4th: Determine the sum of the variance
5th: Determine the variance by dividing the sum in 3 by 1 less the number of sample
6th: Calculate the standard deviation by variance's square root
7th: find the square toot of the number of samples
lastly: divide the standard deviation by result of step 7
What is standard error?
The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error.
It reveals how much the sample mean would change if you conducted the same study again with fresh samples drawn from a single population.
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.
A bag contains 3 blue marbles, 2 red marbles, and 5 green marbles. One marble is drawn from the bag, the color is recorded, and it is not put back into the bag. Another marble is drawn and its color is recorded. What is the probability of drawing two red marbles?
Answers
Answer:
P(2 reds) = 1/45
Step-by-step explanation:
P(2 reds) = P(1st red) * P (2nd red) = 2/10 * 1/9 = 1/45
Round 1,627,187 to nearest ten
Answers
Answer:1,627,190
Step-by-step explanation:
Answer:
1,627,190
Step-by-step explanation:
:D
Please help I’m stuck and keep getting the wrong answer
Answers
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Fatih parasının ilk %30unu sonra %35ini harcar ve geriye 105 TL’si kalır. Fatih’in toplamda kaç TL’si vardır?
Answers
Answer:
is good by his guan yes is help to me
please helpppppppppp thanks!
Answers
Answer:
First one is false. (You are correct)Second is true. (a will be greater than 0)Third is also false. (a can't be equal to 0)Hope it helps!!
Answer:
\(a < 0\) False
\(|a| > 0\) True
\(|a|=0\) False
________________________________________________
a is on the right side of 0,
which means a is positive.
The absolute value is the distance to zero (always positive)
Which means the absolute value of a is also positive.
\(a < 0\) is wrong because a is positive
\(|a| > 0\) is correct because a is larger than 0
\(|a|=0\) is wrong because \(a\) ≠ \(0\)
________________________________________________
Hope this helps :)
Twice last month, Judy Carter rented a car in Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily fee,
plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 400 miles, and the rental cost her $248.00. On her second business
trip she drove 200 miles in 3 days, and paid $161.00 for the rental. Find the daily fee and the mileage charge.
Answers
Answer:
Step-by-step explanation:
Let d = daily fee in dollars
Let +m = milage charge in dollars
In words:
( Cost of rental ) = ( number of days rented )x( daily fee ) + ( miles driven )x( milage fee )
For her first trip:
(1) +240.5+=+4d+%2B+450m+
For her 2nd trip:
(2) +146+=+3d+%2B+200m+
-------------------------
Multiply both sides of (1) by +3+
Multiply both sides of (2) by +4+,
Then subtract (2) from (1)
2x+7x=77
5x+7y=115
solve for x & y that makes both expressions true.
Answers
The solution that makes both expressions true is x = 8.55556 and y = 10.31746.
To solve for x and y, we need to use a system of equations involves finding the values of x and y that satisfy both equations simultaneously.
We can start by using the first equation to solve for x:
2x + 7x = 77
Combining like terms:
9x = 77
Dividing both sides by 9:
x = 8.55556 (rounded to six decimal places)
Now that we know the value of x we can use either equation to solve for y. Let's use the second equation:
5x + 7y = 115
Substituting x = 8.55556:
5(8.55556) + 7y = 115
Simplifying:
42.7778 + 7y = 115
Subtracting 42.7778 from both sides:
7y = 72.2222
Dividing both sides by 7:
y = 10.31746 (rounded to six decimal places)
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What is the volume of this figure?
Enter your answer in the box.
yd³
Answers
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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Please help fast !!
If m/CGB = 78°, then what is m/DGA?
Answers
Answer:37
Step-by-step explanation: The unanimous Declaration of the thirteen united States of America, When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, while evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. But when a long train of abuses and usurpations, pursuing invariably the same Object evinces a design to reduce them under absolute Despotism, it is their right, it is their duty, to throw off such Government, and to provide new Guards for their future security.--Such has been the patient sufferance of these Colonies; and such is now the necessity which constrains them to alter their former Systems of Government. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world.
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Answers
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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44. An inequality that provides a boundary for a situation
A. constraint
B. parameter
C. minimum
D. maximum
Answers
simplify the expression 44=5g-8-g
Answers
If you want I can show steps
Answer:13
Step-by-step explanation:
Simplify.
-4(y+6)+5y
Answers
-4(y + 6) + 5y
= -4y - 24 + 5y
= y - 24 (simplified)
Answer:
9y+24
Step-by-step explanation:
) Which number is NOT in the solution set of X + 5 > 10?
A) 4
B) 6
C) 8
D) 12
Answers
Answer:
A) 4
Step-by-step explanation:
4 + 5 = 9
9 is NOT greater than 10.