simplify the expression below
(x 1/15) 5
Using the law of indices we multiply the power outside the parenthesis with the power inside the parenthesis.
Therefore,
1/15 x 5 = 5/15 = 1/3
After multiplying the power, we reduce the fraction to it lowest term. By doing so we get the fraction power of 1/3.
our final expression will be like
(xA 1/15) A 5 multiply the power
(xA 5/15) reduce the fraction power to it lowest term
(1/x3)
If it costs $5.35 per day for a 5 day work week to ride the bus, and a weekly pass is $25, how much could a person save by buying the pass?
Answer:
$1.75
Step-by-step explanation:
basically we are comparing
5 daily passes vs. a weekly pass.
5 daily passes = 5×$5.35 = $26.75
a weekly pass = $25.00
so, the difference is 26.75 - 25 = $1.75
A movie with an aspect ratio of 2.35:1 is shown as a letterboxed image on an older 25-inch 4:3 television. Find the height of the image, the height of each black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response. Based on your analysis of television aspect ratios, why do you think the consumer market has moved having wide screen TV in the home?
The aspect ratio represents the ratio of the width to the height of a television.
The height of the image on the 25-inch television is 15 inches The height of each black bar is 8.51 inches The percentage of the screen area occupied is 56.73%Consumers moved to screens with wide screen to get clearer images.The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the older 25-inch [tex]4:3[/tex] TV is x.
The ratio is represented as:
[tex]Width : Height = 4:3[/tex]
Using Pythagoras theorem, we have:
[tex]Width^2 + Height^2 = 25^2[/tex]
[tex](4x)^2 + (3x)^2 = 25^2[/tex]
[tex]16x^2 + 9x^2 = 625[/tex]
[tex]25x^2 = 625[/tex]
Divide both sides by 25
[tex]x^2 = 25[/tex]
Take positive square roots
[tex]x = 5[/tex]
So, the height of the image is:
[tex]Height = 3x[/tex]
[tex]Height = 3 \times 5 = 15[/tex]
While the width is
[tex]Width = 4x = 4 \times 5 = 20[/tex]
Hence, the height of the image is 15 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 2.35 : 1[/tex]
Where
[tex]Width = 20[/tex]
So, we have:
[tex]20 : Height = 2.35 : 1[/tex]
Express as fraction
[tex]\frac{Height}{20} = \frac{1}{2.35}[/tex]
Make Height the subject
[tex]Height = \frac{20}{2.35}[/tex]
[tex]Height = 8.51[/tex]
The height of each black bar at the top and at the bottom is 8.51 inches
The percentage of the screen’s area that is occupied by the image is calculated using
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
Where
[tex]A_1 \to[/tex] Area of black bars
[tex]A_2 \to[/tex] Area of the 25-inch 4:3 television
So, we have:
[tex]A_1 =8.51 \times 20 = 170.2[/tex]
[tex]A_2 =15 \times 20 = 300[/tex]
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex] becomes
[tex]\% Screen = \frac{170.2}{300} \times 100\%[/tex]
[tex]\% Screen = \frac{170.2}{3} \%[/tex]
[tex]\% Screen = 56.73 \%[/tex]
Hence, the percentage of the screen area occupied is 56.73%
Consumers moved to TV with a wide screen because a TV with wide screen shows bigger pictures than smaller dimension TV screens,
When the pictures are bigger, the consumers will have a clearer view of what they're watching.
Read more about aspect ratios at:
brainly.com/question/17231027
Which answer choice correctly shows 343 written as a Roman numeral?
A. CCCVLIII
B.CCCXLII
C.CCCXLIII
D.CCCXXXXIII
Answer:
C.(CCCXLIII)
Step-by-step explanation:
7x -3x = 20?
I do not know what this is…
7x-3x = 20
Simplify by subtracting:
4x = 20
Divide both sides by 4:
X = 5
Answer:
7x-2x=20
6x=20
6x÷6=20÷6
x=16.67
In 6 days, a group of workers can plant 30 acres.
What is their rate in acres per day?
Answer:
5 acres per day
Step-by-step explanation:
Since it is 30 for 6 days, divide 30 by 6 to get how many per day
3(p – 6) + 15 = 0
PLEASE SOLVE PLEASE HELP IT IS URGENT
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf3(p - 6) + 15 = 0 \\\sf 3p - 18 + 15 = 0 \\\sf 3p - 3 = 0 \\ \sf3p = 3 \\ \sf \: p = \frac{3}{3} \\ \boxed{\bf p = 1}[/tex]
The value of p is 1.
_______
Hope it helps.
RainbowSalt2222
[tex]\\ \rm\longmapsto 3(p-6)+15=0[/tex]
[tex]\\ \rm\longmapsto 3p-18+15=0[/tex]
[tex]\\ \rm\longmapsto 3p-3=0[/tex]
[tex]\\ \rm\longmapsto 3p=3[/tex]
[tex]\\ \rm\longmapsto p=\dfrac{3}{3}[/tex]
[tex]\\ \rm\longmapsto p=1[/tex]
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3
hope it is help full
Step-by-step explanation:
mark me a brainlistIs -15/2 a rational number or integer or whole number or all of them??
Answer: Rational number
It is a rational number because it is a fraction of two integers. Those two integers being -15 and 2.
In general, any rational number is of the form P/Q where P and Q are integers. The Q cannot be zero. Another example of a rational number is 2/3. In this example, P = 2 and Q = 3.
Going back to -15/2, we would have P = -15 and Q = 2.
The fraction -15/2 is not a whole number nor is it an integer. This is because -15/2 = -7.5 and this is sufficient to see we don't have an integer result. We would need to have nothing after the decimal point to get a whole number.
Answer:
I don't really know
Step-by-step explanation:
Err.. sorry but i am in grade 6
Evaluate 5 - (4 + 2)2
O A. 9
O B. -15
O C. 5
O D.-31
5 - (4 + 2)² = 5 - 6² =
= 5 - 6 · 6 = 5 - 36 = -(36 - 5) = -31
Answer: D)
24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
Answer:
......................
What is the radius of a circular piece of paper whose circumference is 11
Answer:
well the circumference is the area of the circle so if you know the diameter then you divide that number by 2
What is the coefficient
Answer:
B
Step-by-step explanation:
Using the Pascal's triangle
Pertaining to the 8th term the coefficients are;
1, 8, 28, 56, 70, 56,28, 8 and 1 in that order
Expanding this,
the coefficient of the term x^7y is 8
Estimate the shaded areas of the following shapes.???
Answer:
436cm^2
Step-by-step explanation:
you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle
Big rectangle =30*16=480
small rectangle =4*11=44
480-44=436
please help me with this and explain your answer
Answer:
B
Step-by-step explanation:
t=4x+c
Since we are looking for x,
t-c=4x
Divide through by the coefficient of x which is 4
4x/4=t-c/4
Therefore, x=t-c/4
What time is shown on the clock
Answer:
9:18
Hope this helps <3
Please help me I will mark brainliest :)
Answer:
X should equal 12.
Step-by-step explanation:
I say this because we know TED= 30° bc 50°-20° = 30
then u have to think about what × 2 + 6 equals 30
sure enough 12 × 2 = 24 and 24 + 6 = 30
that's why I say X equals 12
The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.
I need help solving this.
16 - 2t + 5t +9
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
16 - 2t + 5t + 9
16 + 9 -2t + 5t=0
25 + 3t =0
3t= -25
t= -8.3
a b and c lie on a straight line given that angle y = 125 and angle z = 313 work out x
Answer:
∠x = 78
Step-by-step explanation:
∠y + ∠1 = 180
=> 125 + ∠1 = 180
=> ∠1 = 180 - 125
=> ∠1 = 55
∠z + ∠2 = 360
=> 313 + ∠2 = 360
=> ∠2 = 360-313
=> ∠2 = 47
∠1 + ∠2 + ∠x = 180
=> 55 + 47 + ∠x = 180
=> ∠x = 180 - 55 - 47
=> ∠x = 78
Answer:
[tex]x=78[/tex]
Step-by-step explanation:
Skills needed: Exterior Angle Theorem, Triangle Geometry:
1) We need to solve for [tex]x[/tex] and there are 2 methods to do it. I will go over the fastest way (since it's better).
This involves the exterior angle theorem (see the image attached to see how that works.2) In order to use this theorem, we need to solve for the angle near [tex]z[/tex]. This angle would be [tex]360-z[/tex], which is [tex]360-313[/tex] (since [tex]z=313[/tex]).
[tex]360-313[/tex] = [tex]47[/tex]
3) Then, we can use the fact that [tex]y=x+47[/tex] (47 is the measure of the angle we just solved for.)
[tex]y=125[/tex], so [tex]125=x+47[/tex]
Subtract 47 from both sides, and get [tex]x=78[/tex]
Hope you understood and have a nice day! :D
Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!
find the value of x and y
Answer:
x=11
y=3
Step-by-step explanation:
(9x+25)=(13x-19)
9x+25 = 13x−19
9x+25-25 = 13x−19-25
9x=13x-44
9x-13x=13x-44-13x
-4x= -44
x=11
y= 180-(9x+25)
y= 180-(99+25)
y= 180-124 = 56
y= 56-5 = 51
y= 51/17
y= 3
Good luck
2x-ky=14 and 5x-2y=5
In the system above, k is a constant and x and y are variables For what values of k will the system of equations have no solution.
Answer:
Step-by-step explanation
In these type of questions we can use a trick to find answer
let's say we have two linear equation
1) ax+by+c=0
2)mx+ny+t=0
if a/m = b/e ≠ c/f that means we don't have any solution for these two equations ( that's because of analitic geometry)
so,
2x-ky-14=0
5x-2y-5=0
2/5=k/2≠14/5 k=5If k is 4/5, the system of equations will have no solution because the lines are parallel.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system will have no solution if the two equations represent parallel lines, because parallel lines do not intersect.
To determine if the lines are parallel, we can compare the slopes of the two lines.
The slope of the first line is 2, since it is the coefficient of x when we solve for y:
2x - ky = 14
ky = 2x - 14
y = (2/k)x - 14/k
The slope of the second line is 5/2, since it is the coefficient of x when we solve for y:
5x - 2y = 5
2y = 5x - 5
y = (5/2)x - 5/2
Therefore, the two lines are parallel if the slopes are equal:
2/k = 5/2
4 = 5k
k = 4/5
So, if k = 4/5, the system of equations will have no solution because the lines are parallel.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
0.6m=____mm . answer the question
Answer:
600
Step-by-step explanation:
since 1m=1000mm
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Learn more about areas at:
https://brainly.com/question/16418397
(x-1)^2+(2-x)^2-3(x-5)*(x-5)
Answer:
[tex]-x^2+24x-70[/tex]
Step-by-step explanation:
[tex](x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70[/tex]
Formula used =
[tex](a-b)^2 = a^2+ 2ab + b^2[/tex]
is a rectangle. EA is 12 in. Find the length of the diagonal .
12 in.
24 in.
6 in.
26 in.
Answer:
hey please saw the figure
Answer:
Step-by-step explanation:
its 24
What is 5 x 0.1 + 4 x 0.01 + 8 x 0.001 written in standard form?
Answer:
0.548
Step-by-step explanation:
5 x 0.1 = 0.5
4 x 0.01 = 0.04
8 x0.0001 = 0.008
Now add them all together to get 0.548 in standard form.
I hope this helps! :)
Answer:
5 × 0.1 is 0.5
4 × 0.001 is 0.04
8 × 0.0001 is 0.008
so add all number is
0.548
4. Find the quotient. -7 ÷ 14/3
Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG.
Answer:
8
Step-by-step explanation:
Kay's mother's age is six more years than twice Kay's age. The sum of their ages
is 81. Find both of their ages.
Answer:
6x81=2
Step-by-step explanation:
what is a example of the reflexive property.
Answer: 3 is equal to 3
Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.
