1/3 with a line over the answer ( 0.66666666666...)
The fraction form of the expression ''2 divided by 3'' would be 2/3.
Used the concept of the fraction that states,
A fraction is part of a whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that the statement is,
''2 divided by 3''
Now it can be written in fraction form as,
''2 divided by 3''
= 2 ÷ 3
= 2 / 3
Therefore, the fraction form is 2/3.
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At the start of 2015, Barry's house was worth £270000.
The value of his house increased by 3% every year.
Work out the value of his house at the start of 2020
Answer:
£310500
Step-by-step explanation:
3% of 270000=8100
difference between 2020 and 2015=5 years
8100×5=40500
40500+270000=310500
pls give me brainliest
Please Help! I don't know how to do this!
(3x^2+7x-4)-(6x^2-6x+1)
Answer:
-3x^2+13x-5
Step-by-step explanation:
you're basically just combining the like terms
3x^2+7x-4-6x^2+6x-1
-3x^2=13x-4-1
-3x^2+13x-5
Answer: -3^2+13x-5
Step-by-step explanation:
Remove parentheses.
3x^2+7x -4 - 6x^2 +6x -1
Collect like terms.
(3x^2-6x^2) + ( 7x + 6x) + ( -4 -1)
Simplify
-3^2+13x-5
Emilio has worn a gray shirt on 7 of the last 14 days. What is the experimental probability that Emilio will wear a gray shirt tomorrow?
Answer:
Step-by-step explanation:
7/14
Step-by-step explanation:
Which of the following functions generates the sequence 0, 2, 4, 6, ...?
Answer:
F(n) = 2n – 2
Step-by-step explanation:
The sequence 0, 2, 4, 6
First, let us determine if the sequence is arithmetic progression (A.P) or geometric progression (G.P)
This is illustrated:
Let us calculate the common difference (d)
Common difference (d) = 2nd term – first term
Common difference (d) = 3rd term – 2nd term
=> 2 – 0 = 2
=> 4 – 2 = 2
The common difference (d) = 2.
Common ratio (r) = 2nd term /1st term
Common ratio (r) = 3rd term /2nd term
=> 2/0 = undefined
=> 4/2 = 2
There is no common ratio.
Since we have a common difference, therefore the sequence is arithmetic progression.
Now, let us obtain an expression for the sequence.
This can be obtained by using the arithmetic progression formula as shown below:
F(n) = a + (n – 1)d
a is the first term
n is the number of term
d is the common difference.
The sequence 0, 2, 4, 6
The first term (a) = 0
Common difference (d) = 2
F(n) = a + (n – 1)d
F(n) = 0 + (n – 1)2
F(n) = 2n – 2
Find the area of the shape shown below.
4 10 20
Answer:you cant find the area with the numbers the problem wouldn't do that but the perimater is (34)
Step-by-step explanation:
Answer:
240 units2
Step-by-step explanation:
10*20=200 + 10*4= 40
=240
Which transformations are needed to change the parent cosine function to the cosine function below?
On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 3. It goes through 2 cycles at 2 pi.
vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up
vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down
vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Answer:
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2, and after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3
Answer:
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Step-by-step explanation:
within a radius of 4.9 miles of a cell phone tower, 1483 people per square mile enjoy quality phone signals. what is the population of cell phones users within the towers converage area
Answer:
The population around the tower is 111,862 people.
Step-by-step explanation:
In order to solve this problem we first need to calculate the area surrounded by the tower, since it's a circle we can apply the following formula:
tower area = pi*r²
tower area = pi*(4.9)² = 75.4296 miles²
For every mile² there are 1483 people, therefore:
population = area*density
population = 75.4296*1483 = 111,862
The population around the tower is 111,862 people.
The coordinates of the vertices of parallelogram CDEH are C(-5, 5), D(2, 5), E(-1, -1) and H(-8, -1). What are the coordinates of P, the point of intersection of diagonal CE and DH?
Answer:(-3,2)
Step-by-step explanation:
The coordinates of the intersection point P of the diagonal CE and DH is (-3,2)
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
What is Vertices of Parallelogram?The vertices of the parallelogram are the corners of a polygon or the point where any two sides of the parallelogram meet
Given,
Vertices of the parallelogram CDEH= C(-5,5), D(2,5), E(-1,-1) and H(-8,-1)
Parallelogram diagonals are CE and DH
Since the diagonals of the parallelogram bisects each other, mid point of the CE and DH will be the intersecting point of diagonals
Using the mid point theorem,
Mid point of CE is,
C(-5,5) and E(-1,-1)
x= [tex]\frac{-5-1}{2}=-3[/tex]
y = [tex]\frac{5-1}{2}=2[/tex]
Mid point of the CE is (-3,2)
Hence, the coordinates of the intersection point P of the diagonal CE and DH is (-3,2)
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When Rachel puts gas in her car, she records the distance that she has driven since her last
fill-up and the number of gallons of gas that her car has used. She uses this information to
predict the amount of gas that her car will use to travel different distances,
g=0.04 times d
Step-by-step explanation:
if you multiply 0.04 with every number under the d column then you’ll get the outcome of each number under g
The relationship between the number of gallons of gas that the car uses g, and the number of miles the car has driven d, is given by the equation g=0.04d. Since the values of g and d are linearly connected.
Which is said to be a Linear equation?A linear equation is an algebraic equation that has the highest degree as 1.The general form of the linear equation is [tex]y=ax+c[/tex]. Where y is the dependent variable and x is the independent variable.So, as the value of x increases the value of y also increases linearly and forms a straight line.Given data:It is given that,
A table of content about the distance traveled by Rachel and the gas used for that distance.
The distance is given in miles as d and the gas is given in gallons as g
The values of d given in the table are 14, 70, 109, and 140. Here the order is increasing.
The values of g given in the table are 0.56, 2.8, 4.36, and 17.6. Here also the order is increasing.
Finding the relationship between g and d:Since the values of g and d are increasing linearly and g is depending on d, consider a linear equation as follows:
[tex]g=ad+c[/tex]
Finding a and c from the obtained equation:
From the table, when d=14, g=0.56 and d=70, g=2.8
On substituting these values in the equation we get
0.56=14a+c
2.8=70a+c
Subtracting 1st equation from the 2nd equation,
2.8-0.56=(70a+c)-(14a+c)
⇒ 2.24=56a
⇒ a=0.04
On substituting a value in any of the equations we get
0.56=(0.04)(14)+c
⇒ c=0
Thus, the required equation becomes g=0.04d. This says that the g and d values are linearly related to each other.
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Subtract the equations.
Answer:
0x+2y=22
Step-by-step explanation:
Set them equal to each other, (5x+4y=25)-(5x+2y=3). Distribute the negative into the right equation, (5x+4y=25)(-5x-2y=-3). Then combine like terms to get your answer.
A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.
Which expression and value represent the total the instructor will charge a student for x hours of lessons in a month and the amount the instructor would charge a student for 15 hours of lessons in a month?
$20.25 – x; $15
$20.25 + x; $25.50
$20.25 – $5.25x; $58.50
$20.25 + $5.25x; $99
Answer:
suppose the number of 2 hours lessons are x and 1 hour lessons are y; thus,
2x+y=25
50x+30y=690
to get the values of x and y we solve the quadratic equation given;
from the top equation:
y=25-2x.......i
substituting i in our second equation we get:
50x+30(25-2x)=690
50x+750-60x=690
-10x=-60
thus;
x=6
hence we conclude that the number of 2 hours classes are 6 hours
Step-by-step explanation:
The expression representing the total charge for x hours of piano lessons is $20.25 + $5.25x, and for 15 hours, the total charge would be $99.
Explanation:The correct expression to represent the total charge for a student who takes x hours of piano lessons in a month at $20.25 per month and $5.25 per hour is $20.25 + $5.25x. To calculate the amount the instructor would charge for 15 hours of lessons, we substitute x with 15:
Total charge for 15 hours = $20.25 + $5.25(15) = $20.25 + $78.75 = $99.
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Sanjay has 59 toy cars. 12 of the cars are blue and 23 of the cars are red. The rest of the cars are white.
How many more toy cars are white than blue? Enter the answer in the box.
toy cars
Answer: 12
Step-by-step explanation: 12+23 = 35
59-23 is 24
24 is the number of white cars so if 12 of the cars are blue, you just subtract 12 from 24 giving you 12 as the difference between white and blue cars
Final answer:
Sanjay has 12 more white toy cars than blue. There are 24 white cars in total after subtracting the number of blue and red cars from the total.
Explanation:
Sanjay has a total of 59 toy cars, of which 12 are blue and 23 are red. To find out how many toy cars are white, we need to subtract the number of blue and red cars from the total number of cars.
Total number of cars = 59
Number of blue cars = 12
Number of red cars = 23
Subtract the number of blue and red cars from the total:
59 - 12 - 23 = 59 - 35 = 24
So, there are 24 white cars.
To find out how many more white cars there are than blue cars, subtract the number of blue cars from the number of white cars:
24 (white cars) - 12 (blue cars) = 12
Therefore, there are 12 more white toy cars than blue toy cars.
Look at this inequality.
−0.2x+1.2<1.1
To solve the inequality -0.2x+1.2<1.1, we subtract 1.2 from both sides and then divide by -0.2, which flips the inequality, resulting in x > 0.5.
To solve the inequality [tex]\frac{1.2}{-0.2x+1.2} < 1.1[/tex], we can follow a step-by-step process. First, we isolate the variable on one side. We'll subtract 1.2 from both sides of the inequality:
-0.2x+1.2-1.2 < 1.1-1.2
-0.2x < -0.1
Then we divide both sides by -0.2, remembering that dividing by a negative number will flip the inequality sign:
[tex]x > \frac{0.1}{0.2}[/tex]
x > 0.5
This means that for the inequality to hold true, x must be greater than 0.5. It's also important to note that by understanding the properties of inequalities and the operations performed on them, we can easily solve these mathematical statements.
What type of transformation is shown?
A) Dilation
Eliminate
B) Reflection
C) Rotation
D) Translation
Answer:
A Dilation
Step-by-step explanation:
your dilating the original shape to a new size
Answer:
A) Dilation
Step-by-step explanation:
I did this last year and when the original shape stays the same and another shape either grows or shrinks it's dilation.
Summit Plummet's big drop starts at point A(0, 120) and ends at point B (56, 0). What's the slope from point A to point B?
Answer:
15/-7
Step-by-step explanation:
slope is y(2) - y(1) / x(2) - x(1)
120-0/0-56
120/-56
simplified
The slope from point A to point B is found by dividing the rise by the run. With a rise of -120 and a run of 56, the slope is approximately -2.14, indicating a downward slope from A to B.
To find the slope from point A to point B, we can use the formula slope = rise/run. In this scenario, point A is at (0, 120) and point B is at (56, 0).
First, determine the rise, which is the change in the y-coordinates (vertical change). The rise is 0 - 120 = -120.
Next, determine the run, which is the change in the x-coordinates (horizontal change). The run is 56 - 0 = 56.
Now, we can calculate the slope: slope = rise/run = -120/56 = -2.14
Hi xevysxvuiwhcusvidbufbicdbidvudbusviw
Answer:
29
Step-by-step explanation:
i know my math
Look at attachment for question
Answer:
Answer choice C
Step-by-step explanation:
Since a rectangle has two dimensions and both side lengths of rectangle B are 4 times smaller, the area is 4*4=16 times smaller. 2592/16=162 square units, or answer choice C. Hope this helps!
Bernie drove from his house to his cousin's house in 6 hours at an average rate of 52 miles per hour he drove home at an average rate of 60 miles per hour how long did it take him to drive home
Answer:
7.5
Step-by-step explanation:
You have to divide the miles by the hours drived and then divide 60 per the miles per hour
Answer:
5.2 hours, or 5 hours 12 minutes
Step-by-step explanation:
The distance is the same in both cases. Since distance = rate (time),
time = distance / (rate).
Here, (6 hr)(52 mph) = (time)(60 mph, or
312 mi = (60 mph)(time), which gives us
(time) = (312 mi) / (60 mph) = 5.2 hours, or 5 hours 12 minutes
If sound travels 2 miles and 10 seconds how far does sound travel in 2 minutes
Answer:
24 miles
Step-by-step explanation:
2 miles:10 seconds
? miles: 120 seconds
120 divided by 10 =12
12 x 2 =24
Final answer:
Sound travels 2 miles in 10 seconds, giving it a speed of 0.2 miles per second. In 2 minutes, which equals 120 seconds, sound will travel 24 miles.
Explanation:
If sound travels 2 miles in 10 seconds, we can calculate the speed of sound by dividing the distance traveled by the time it took. To find out how far sound would travel in 2 minutes, we must first calculate its speed:
Speed = Distance / Time
Speed = 2 miles / 10 seconds
Speed = 0.2 miles/second
Now, let's convert 2 minutes to seconds since the speed is in miles per second:
2 minutes = 2 x 60 seconds = 120 seconds
Finally, we calculate how far sound travels in 2 minutes:
Distance in 2 minutes = Speed x Time
Distance in 2 minutes = 0.2 miles/second x 120 seconds
Distance in 2 minutes = 24 miles
Therefore, sound travels 24 miles in 2 minutes.
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 12? A) 1 B) 2 C) 3 D) 4
The average rate of change will be given by 16a + b
What is average rate?Average Rate: A single rate that applies to real estate at many locations and is calculated as the weighted average of the various rates that are appropriate at each site.
It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given:
A general quadratic function of x is given by f(x) = ax² +bx +c
Now, the rate of change of the function f(x) is given by df(x)/ dx.
Therefore, df(x)/ dx = 2ax+ b
Now, the value of x ranges between 4 ≤ x ≤ 12.
So, at x= 4
df(x)/ dx = 2a(4) + b= 8a+ b
and, x= 12
df(x)/ dx = 2a(12) + b= 24a+ b
Thus, the average rate of change will be given by
(8a+ b) + (24a+ b) / 2
= 32a+ 2b/ 2
= 16a + b
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What is the length of BC?
Helppp
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Actually, when you look at it, it' very simple.
So as you kno triangles always = 180
That makes this way easier when you think about it
Let's add the angels together
90+45= 135
Now we need to find the value of the missing angle
180-135= 45
So 45 is the missing angle
Since m∠C≈m∠B he side length (AB) is also 8
Now we can find the length of the hypotenuse
[tex]\sqrt{a^2 +b^2}[/tex]
a and b are the side lengths so just plug them in
[tex]\sqrt{8^2 + 8^2}[/tex]
Now you solve
Exact Form: 8[tex]\sqrt{2}[/tex]
Decimal Form: 11.31
what is y+2=3/2(x+6) in standard form
It may be wrong :(
but i hope it helps
HELP NOW OR ELSE!
Which expressions are equivalent to 2(5)^4
2 times 5 times 4
2 times 5 times 5 times 5 times 5
2 times 4 times 4 times 4 times 4 times 4
10 times 10 times 10 times 10
2 times 5 times 4 is your answer
If 65% of a shape is shaded, what percent is NOT shaded?
Answer:
35%
Step-by-step explanation:
65%= .65
100-.65=.35
.35=35%!
What is the value of a+b?
the answer is c
Step-by-step explanation:
because I was working on it
- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?
Let C represent number of CDs and D represent number of DVDs.
We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:
[tex]C+D=500...(1)[/tex]
[tex]C=500-D...(1)[/tex]
We are also told that it costs $8 to make each CD, so cost of C, CDs would be [tex]8C[/tex].
It costs $10 to make each DVD, so cost of D, DVDs would be [tex]10D[/tex].
We have been given that the company can spend $4800 for production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:
[tex]8C+10D=4800...(2)[/tex]
Upon substituting equation (1) in equation (2), we will get:
[tex]8(500-D)+10D=4800[/tex]
[tex]4000-8D+10D=4800[/tex]
[tex]4000+2D=4800[/tex]
[tex]4000-4000+2D=4800-4000[/tex]
[tex]2D=800[/tex]
[tex]\frac{2D}{2}=\frac{800}{2}[/tex]
[tex]D=400[/tex]
Therefore, the company can make 400 DVDs in one day.
Upon substituting [tex]D=400[/tex] in equation (1), we will get:
[tex]C=500-D \Rightarrow 500-400=100[/tex]
Therefore, the company can make 100 CDs in one day.
Coach Chapman has 54 students signed up for a jump rope competition. He only has 18 jump ropes. What is the ratio of jump ropes to students?
brainliest
Answer:
1:3
Step-by-step explanation:
The question is asking what the ratio of jump ropes to students is.
The order of the question matters.
Since they ask for the jump ropes first and then the students, we
get a ratio of 18:54.
Find the GCF (Greatest Common Factor)
The GCF is 18.
Divide 18:54 by 18.
18/18=1
54/18=3
The answer is 1:3.
Factor the polynomial using the pattern.
x2 - 9x + 20
Answer: To factorize the quadratic expression
x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression
(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply
x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.
Answer:
Answer: To factorize the quadratic expression
x2−9x+20, one must find the two numbers that add together to give 9, and multiply together to give 20. Those two numbers are 4 and 5, which factor into the expression
(x−4)(x−5). The signs are due to the fact that the first sign in the expression is a positive, which tells us that both signs must be the same, and the first sign is a negative, which means that, due to the positive sign in the expression, both signs are negative. To do the opposite, expanding, one must multiply
x by x, to get x2, add together 4 and 5 to get 9, and multiply them to get 20.
Step-by-step explanation:
Can somebody please help me with this ?
Answer:
50
Step-by-step explanation:
the angles in a triangle will add up to 180 degrees
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answer:
25+4x=53 is the equation you would need to determine how many times she went after hours.
Step-by-step explanation:
if you also need to know how many times she went after hours. she went 7 times so x=7
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