The decimal: 0.4545...
Can be written in fraction form as 45/99.
How to write the number as a fraction?
Here we have the number:
N = 0.4545...
Notice that the repeating digits are two, 4 and 5.
Then we can multiply our number by 100 (same number of zeros as repeating digits) so we get:
100*0.4545... = 45.4545...
Now if we subtract the original number, we get:
45.4545... - 0.4545... = 45
This means that:
(100 - 1)*0.4545... = 99*0.4545... = 45
Then we can multiply and divide our number by 99, so we get:
[tex]0.4545... = 0.4545...\frac{99}{99} = \frac{45}{99}[/tex]
So the fraction is 45/99
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PLEASE HELP TIMED!!!
Which of the following describes the growth rate of the exponential function in the graph below?
a) For each x increase of 1, the y increases by a common difference of 3.
b) For each x increase of 1, the y increases by a common factor of 3.
c) For each x increase of 1, the y increases by 4 more than the previous increase.
d) For each c increase of 2, the y increases by doubling and then adding one.
Answer:
B
Step-by-step explanation:
let me know if you want an explanation :))
A basketball coach recorded how many shots each of the 30 players at tryouts made in a set of 6 attempts.
Answer:
Step-by-step explanation:
what is the question?
Answer:
Median = A
Mean = B
Step-by-step explanation:
Khan Academy
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
1
C.
0
D.
infinite
Answer:
c. 0
Step-by-step explanation:
3(x+8) - 1 = 3x+4
3x+24-1 = 3x+4
3x+23 = 3x+4
There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.
How many positive odd integers less than 10,000 can be written using the digits
3, 4, 8, 9 and 0?
What is true about △ABC? Select three options
AB ⊥ AC
The triangle is a right triangle.
The triangle is an isosceles triangle.
The triangle is an equilateral triangle.
BC ∥ AC
Answer: Isosceles triangle
Step-by-step explanation: Two of the base sides are equal distance away. (Sides AB and AC)
Jaime adds equations A and B to solve this system of equations. Why is this method
generally valid for solving a system of equations?
The elimination method is valid for the system of equation because the y term cancels.
How to solve a system of equation using elimination method?The system of equation can be solved using elimination methods.
Therefore,
x - 2y = 3
3x + 2y = 17
Hence,
x + 3x = 4x
-2y + 2y = 0
3 + 17 = 20
Therefore,
4x = 20
The y term cancels. Therefore, we can solve for x and later solve for y.
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Answer:
Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.
Here's a graph of a linear function. Write the
equation that describes that function.
bad
Express it in slope-intercept form.
The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
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Use the tables below to answer the following questions: a. f(h(2)) b. g(h(f(1))) c. g(g(4))
Answer:
19-73 19-73 and the other half way back home from the
to ghana 5hjgf and to the 8
Which if the following rules best describes the matrix below?
a.
dilation of scale factor 2
c. reflection over the line y = x
b. reflection over the y-axis
d. translation 1 unit left and 1 unit up
Answer:
D
Step-by-step explanation:
i just know i guess
The graph of g(x), shown below in red, has the same shape as the graph of
f(x) = 2x, shown in blue. Which of the following is the equation for g(x)?
A. g(x) = 2(x-1) - 3
B. g(x) = 2(x+3) - 1
C. g(x) = 2(x-3) -1
D. g(x) = 2(x+1) - 3
What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .
Answer:-1/4
Step-by-step explanation:
Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x
use the graph below to answer this question: find the average rate of change for the given function from x=1 to x=2.
Answer: D. 2
Step-by-step explanation:
The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as [tex]\frac{rise}{run} or \frac{y}{x}[/tex]. The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.
First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is [tex]\frac{2}{1}[/tex]. This can be simplified to 2.
Therefore, the answer is 2.
I hope this helps!! Pls mark brainliest :))
area = ft
help me please ty:)
find the length using the Pythagorean theorem.
Length = sqrt(20^2 - 12^2)
Length = 16 feet
area = 12 x 16 = 192 square feet
Find the HCF of
x^2y and x
The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]
In calm water, the motorboat of Jana is moving at the speed of 16.5km/h. On a river, because of the current, the boat moves faster down the river only by raising it. Jana went up the river in 5 hours and the decent in only 2 hours. What is the speed of the current?
Answer: 707 km/h
Step-by-step explanation:
let c = speed of current
16.5 + c = speed of sailboat downstream
16.5 - c = speed of sailboat upstream
distance = travel time * speed
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
2(16.5 + c) = 5(16.5 - c)
33 + 2c = 82.5 - 5c
7c = 49.5
c = 7.07 km/h
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
Where is the fruit market?
6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue
Answer:
The Fruit market is at - 6th Street and 11th Avenue
Step-by-step explanation:
Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.
for example :-
if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-
[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.
using the above formula :
distance between points (4, 8) and (12, 20) is:
[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]
√(8² + 12²)
√208
14.42
Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.
therefore,
3/4×14.42 = 10.8
now we can check that option (A ) i.e. (6, 11) distance from lei home i.e. (12, 20) is equal to 10.8
hence the fruit market is at the = 6th Street and 11th Avenue
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Answer:
A
Step-by-step explanation:
if you do all you'll get brainliest
Drive-In movie theatres are outdoor movie venues where people park facing a large screen and watch a movie from their own car. Daisy’s Drive-In charges $14.00 for a vehicle and an additional $4.00 per person in the car. Donald’s Drive-In charges $26.00 for a vehicle and an additional $2.00 per person in the car.
Write two equations that represent the 2 drive-in theatres.
Daisy’s Drive-In:
Donald’s Drive-In:
Graph the system of equations. Label the x and y axis and give the graph a title. Label each line.
What is the point of intersection on your graph? What does this mean in context of the problem? Answer in complete sentences.
Compare and contrast the theatre options. When will Daisy’s be a better deal? When will Donald’s be a better deal? Explain how you know. Answer in complete sentences.
The slope of the line below is -4. Which of the following is the point-slope
form of the line?
(2,-8)
Answer:
y+2= -4(x-8)
Step-by-step explanation:
need help asap willing to give a lot of points!
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
Question 1
Part (a) :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
Part (b) :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
Question 2
Part (a) :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
Part (b) :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
A laptop costs £600
Students get a 5% discount.
How much discount will a student get?
Answer:
cost price = £ 600
discount = 5%
selling price =
5/100 * 600.
5 * 6
30 £
price = 600 - 30
= 570
I finished all my other questions but i don't know how to do this one. could someone help me? I added 100 points. It is attached. :)
The answers are mentioned below.
What is Acceleration ?Acceleration is the change of speed with respect to time.
It is given that ,
The mass of the person is 50kg
Weight is 490 N
He has boarded an elevator with a bathroom scale.
1. The elevator is going down at constant speed , Force = 0N as acceleration is zero , The reading is 50kg.
2. The elevator is going up an slowing down . The magnitude of the acceleration is 4.9 m/sq.s , Force = mass * acceleration = 50 * 4.9 = 245N acting upward but the net force will be acting downward.
490 - 245 = 145N , reading 14.79 kg.
3.The elevator is free falling with an acceleration of 9.8m/sq.s force 0 N , as the gravitational force is pulling you down and the scale pushes up with the same force , Reading is 0 kg.
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By rounding to 1 significant figure, estimate the answers to these questions:
a)346 × 904
b) 2451 × 988
c)3204 × 7756
Answer:
a) 270000
b) 2000000
c) 24000000
Step-by-step explanation:
For a)
346 to 1 s.f is 300
904 to 1 s.f is 900
300 × 900 = 270000
For b)
2451 to 1 s.f is 2000
988 to 1 s.f is 1000
2000 × 1000 = 2000000
For c)
3204 to 1 s.f is 3000
7756 to 1 s.f is 8000
3000 × 8000 = 24000000
Hope this helped and have a good day
which greek geometer founded a philosophical society that devoted itself to study of mathematics
Answer:
Pythagoras was the Greek geometer .
Please mark me as the brainliest.
A shop sells the same type of nails in 3
different sized packets.
Calculate the price per 10 nails for each
size of pack.
Write down which sized packet is the
best value for money in the comment
box.
Answer:
52, 53, 54, pack 1.
Step-by-step explanation:
1)
1.56 = 30
10 = 1.56 / 3
10 = 52 pence
2)
2.12 = 40
10 = 2.12 / 4
10 = 53 pence
3)
3.78 = 70
10 = 3.78 / 7
10 = 54 pence
The cheapest one is the small pack
D is the midpoint of AB and E is the midpoint of BC. If AC=48, what is the length of DE ?
Answer:
24 is the answer for the following
Step-by-step explanation:
please mark me as brainlest
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
Answer:
20%
Step-by-step explanation:
Half of 2 = 1
Half of 1.6 = 0.8
1 - 0.8 = 0.2
0.2 × 100 = 20%
Consider the circle represented by this equation.
x² + 4x + y2 - 2y - 4 = 0
Which features are features of the circle?
Answer:
See below
Step-by-step explanation:
arrange to standard form (x-h)^2 + (y-k)^2 = r^2 h,k = center r = radius
x^2 - 4x + y^2 + 2y = 4 complete the square for 'x' and 'y'
(x-2)^2 - 4 + (y-1)^2 -1 = 4
(x-2)^2 + ( y-1)^2 = 4 + 4 + 1 = 9 '9' is equal to r^2 so r = 3
center = 2,1 radius = 3
Answer:
you're welcome!!!
Step-by-step explanation:
Round 0.90 decimal to the nearest tenth
0.90 nearest tenth is 9 since there is no other number to help round it over.
Ann cleans 9 vessels in 10 minutes and her friend Kathy cleans 12 vessels in 14 minutes. Who cleans less number of vessels?
Answer:
Kathy
Step-by-step explanation:
Which point is on the graph of f(x) = 3.4x
Answer:
D(1,12)
Step-by-step explanation:
See attached graph.
