Answer:
see below
Step-by-step explanation:
Video Game
20% off means you pay 80%
80 dollars * 80% =
80 * .80 = 64
Movie ticket
14 original price
Sale price = 11.40
14* p% = 11.40
Divide each side by 14
p% = 11.40/14
p% =81.4285714
You paid 81 3/7%
The discount is 100 -81 3/7%
18 4/7 % discount
Laptop
1000 original price
Sale price = 750
1000 * p% = 750
p% = 750/1000
p% =75%
You paid 75%
The discount is 100 -75%
25 % discount
Answer:
Below
Step-by-step explanation:
First item)
The original price of the video games is 80$ wich is 100%
This item has a 20% discount.
Let x be the value of the dicount in dollars.
● 80 => 100
● x => 20
● x =(80×20)/100 = 16$
So the amount of the discount is 16$.
● 80-16 = 64 $
So the amount that was paid is 64$
■■■■■■■■■■■■■■■■■■■■■■■■■■
Second item):
The price that was paid is 11.2$out of 14$ initially.
Let x be the percentage of 11.2
● 14$ => 100%
● 11.2$ => x
● x = (11.2×100)/14 = 80%
● 100-80 = 20%
So the percentage of discount was 20%
■■■■■■■■■■■■■■■■■■■■■■■■
Third item):
The laptop was boughr for 750$ out of 1000$ initially
No need to do calculations here.
Notice that: 750/1000 = 3/4 = 0.75 = 75%
● 1000-750 = 250
So 250 is the amount discounted wich is 25% of 1000$
Find the equation of a line that is perpendicular to line g that contains (P, Q).
coordinate plane with line g that passes through the points negative (3, 6) and (0, 5)
3x − y = 3P − Q
3x + y = Q − 3P
x − y = P − Q
x + y = Q − P
Answer:
x-y is parallel, im confused on what your asking for and what you mean by "negative"
Step-by-step explanation:
The equation of a line that is perpendicular to line g that contains (P, Q). is 3x − y = 3P − Q
What is Equation of line?The general form of the equation of a line with a slope m and passing through the point (x1, y1) is given as: y - y1 = m ( x- x1)
Further, this equation can be solved and simplified into the standard form of the equation of a line.
Given:
Line g passes through (3,6) and (0,5).
Slope of lone= y2 - y1/ (x2 - x1)
Perpendicular lines have opposite, reciprocal slopes, so negative change in x over change in y.
slope of line= -(-3 - 0)/(6 - 5)
= - -(-3)/1 =
slope of line = 3
Now, Two lines are perpendicular if they have the same slope.
Line parallel to line g has a slope of 1. Since it passes through (P, Q),
y - y1 = m ( x- x1)
y- Q =3 ( x- P)
y- Q = 3x- 3P
3x − y = 3P − Q
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Solve for u, Simplify your answer as much as possible
52=5u-8
Answer:
12 = u
Step-by-step explanation:
52=5u-8
Add 8 to each side
52+8=5u-8+8
60 = 5u
Divide each side by 5
60/5 = 5u/5
12 = u
Help pls!! ASAP
Simplify.
(1+1/3)^2 −2/9
Enter your answer, as a simplified fraction, in the box .
Answer:
14/9
Step-by-step explanation:
(1+1/3)^2 −2/9
Add the terms in the parentheses
(3/3+1/3)^2 −2/9
(4/3)^2 −2/9
Exponents
16/9 - 2/9
14/9
For this problem, PEMDAS is really important, because we need to make sure that we are doing things in the correct order.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
The first thing we need to do is the math inside the parentheses:
(1 + 1/3) = 1 + 1/3 = 4/3
Next, we square the parentheses:
(4/3)² = 16/9
Now, all we need to do is subtract!
16/9 - 2/9 = 14/9
If you need to make it a proper fraction, your answer is 1 5/9, but if you leave it improper then 14/9.
Write an algebraic expression for the pair of numbers such that one is 33% more than the other one
Answer:
x = 1.33y
Step-by-step explanation:
33% is equal to 0.33. If a number x is 33% more than a number y, then x is 133% of y. 133% = 1.33
An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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The polynomial function f (x) = 5 x Superscript 5 Baseline + sixteen-fifths x minus 3 is graphed below. On a coordinate plane, point P is shown on the graph of a function. Point P is at (0.6, 0). Which is a potential rational root of f(x) at point P?
Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
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Find RS. A. 5 B. 10 C. 9 D. 12
Answer:
RS = 5
Step-by-step explanation:
To find x use the equation 2x - 6 + 1 + x - 4 = 18
When you solve this x should equal 9
To find RS plug in x in (x-4)
9 - 4 (5)
Answer:
5 (Answer A)
Step-by-step explanation:
From the diagram we know that 2x - 6 + 1 + x - 4 must equal 18.
Then 2x - 6 + 1 + x - 4 = 18. Combining like terms, we get:
3x - 5 - 4 = 18, or 3x - 9 = 18
Then 3x = 27, and so x must be 9.
Then the length of RS is 9 - 4 = 5 (Answer A)
Dave loves a bargain and buys a feather boa which
has been reduced in price by 70%. If the sale price
is £2.85, what was the original price of the boa?
Answer:
£9.50
Step-by-step explanation:
if the price was reduced 70%, then Dave is paying 30% of the original.
0.3 of £ = 2.85
£ = 2.85 / 0.3
£ = 9.5
£9.50
Answer:
$4.84
Step-by-step explanation:
2.85*.70=1.99
2.85+1.99=4.84
Divide Decimals by Decimals.
Fill in the blanks:
Steps:
1. Make the outside number whole (move the decimal point to the _________.)
2. However many decimals places you moved on the outside number, you must move it over the ________ amount on the inside number.
3. Put the decimal point on the elevator and bring it up on the roof.
4. Divide as with whole numbers.
Answer:
1-Left
2-same
Answer: 1) right
2) same
What is the range of possible sizes for side x?
8.0
2.5
Please helpp!!
Triangle inequality theorem:
In any triangle, the length of any side must be:
less than the sum of the lengths of the other two sides.greater than the difference of the lengths of the other two sides.For the problem you have:
x must be greater than 8.0 - 2.5 and less than 8.0 + 2.5
5.5 < x < 10.5
Answer:
5.5<x<10.5
Step-by-step explanation:
Explain how I would rewrite 3^5 * 3^-4 as a base an exponent
Answer:
3^1 or 3
3^5 * 3^-4 are 3^5-4
so, 3^1!
Hope it helps!
Answer:
3^1
Step-by-step explanation:
Since the bases are the same and we are multiplying we can add the exponents
a^b * a^c = a^(b+c)
3^5 * 3^-4
3^ (5+-4)
3^1
Please show ALL work!!!!
Answer:
[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]
Step-by-step explanation:
[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]
We have logarithms in base 2 and 9. Let's rewrite it:
[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]
Remember that:
[tex]\boxed{p\log _bc=\log _b c^p}[/tex]
[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]
Remember the Product Rule:
[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]
[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]
Finally, remember the Quotient Rule:
[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]
[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]
PLEASE HELP!!! ASAP!!!
Answer:
28 units²
Step-by-step explanation:
→ Work out the size of the triangle if it was a full rectangle
Height = 4 and Base = 2
→ Work out area of triangle
0.5 × Height × Base ⇒ 0.5 × 4 × 2 ⇒ 2 × 2 ⇒ 4
→ Minus the area of the triangle from the "imaginary full' rectangle
Area of rectangle = Length × Width ⇒ 8 × 4 ⇒ 32
32 - 4 = 28
Answer:
[tex]\huge\boxed{28\ units^2}[/tex]
Step-by-step explanation:
The figure consists of a triangle, a square and a rectangle.
Area of Triangle:
[tex]\sf \frac{1}{2} (Base)(Height)\\Where \ Base = 2 , Height = 4 \\=> \frac{1}{2} (2)(4)\\=> 4\ units^2[/tex]
Area of Square:
[tex]\sf (Length)(Length)\\(4)(4)\\=> 16\ units^2[/tex]
Area of rectangle:
[tex]\sf (Length)(Width)\\Where \ Length = 4 , Width = 2\\=> (4)(2)\\=> 8 \ units^2[/tex]
Area of the whole figure:
=> 4 + 16 + 8
=> 28 units²
What is 8.875% as a decimal and fraction in lowest terms???
I need help pls. Thxs!
Answer:
0.08875
71/800
Step-by-step explanation:
8.875% = 8.875/100 = 0.08875
8.875% = 8.875/100 = 8875/100000 = 1775/20000 = 355/4000 = 71/800
Answer:
0.08875
Step-by-step explanation:
write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20
Answer:
7/20
Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.
Answer:
D) 7/20
Step-by-step explanation:
Divide 35 by 100:
35 / 100 = .35
Convert into a fraction and simplify:
[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]
Option D should be the correct answer.
Please help answer all these questions. I will give brainliest questions aint in order
Answer:
please send the questions again
pleeeaaaasseeeee help me!!!
determine the percent of change. round to the nearest whole percent if necessary. original: 250 new: 100
Answer:
going from new to original would be times 2.5
from original to new would be time 0.4
Step-by-step explanation:
new to original is the 250/100
original to new is 100/250
Answer:
-60%
Step-by-step explanation:
First, find the difference
250 - 100 = 150
Then divide the decrease by the original number
150/250 = 0.6
And to convert this to a percentage all you have to do is multiply it by 100
0.6(100) = 60
The percent of change is -60% which is a decrease since it's negative
The large rectangle below represents one whole. What percent is represented by the shaded area? (URGENT)
Answer:
40%
Step-by-step explanation:
The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.
Set up a fraction:
[tex]\frac{\text{Shaded}}{\text{Whole}}=\frac{2}{5}[/tex]
Convert into a decimal:
[tex]\frac{2}{5}= 0.4[/tex]
Multiply the decimal by 100 to get the percent:
[tex]0.4*100=40[/tex]
So, forty percent of the rectangle is shaded.
Hope this helps.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of rectangular boxes in the large rectangle = 5
Number of shaded rectangular boxes in the large rectangle = 2
The percentage of shaded rectangular boxes.
= 2/5 x 100
= 2 x 20
= 40%
Thus,
The percentage of the shaded rectangular boxes in the large rectangle is 40%.
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Suppose that the values of x, y, and z are given by x=2/3 y=5/7 z= -11/3 What is xy/z
Answer:
The answer is -10/77 .
Step-by-step explanation:
In order to find the value of xy/z, you have to substitute the value of x, y and z into the expression :
[tex] \frac{xy}{z} = xy \div z[/tex]
[tex]( \frac{2}{3} \times \frac{5}{7}) \div - \frac{11}{3} [/tex]
[tex] = \frac{10}{21} \times - \frac{3}{11} [/tex]
[tex] = \frac{10}{7} \times - \frac{1}{11} [/tex]
[tex] = - \frac{10}{77} [/tex]
Need help and show work plz
====================================================
Explanation:
With any parallelogram, the adjacent angles always add to 180 degrees.
(angle ADC) + (angle DCB) = 180
(angle ADC) + 120 = 180
angle ADC = 180 - 120
angle ADC = 60 degrees
--------
Angles 1 and 2 combine to form angle ADC by the angle addition postulate. This is just the idea of gluing smaller angles to form larger ones.
(angle 1) + (angle 2) = angle ADC
45 + (angle 2) = 60
angle 2 = 60-45
angle 2 = 15 degrees
Find the simple interest on \$5,000 at 4% interest for 3years.
Please help! Simplify: 3(2x-4y) - 2(4y-x) Thank you!
Answer:
8x-20y
Step-by-step explanation:
Use the distributive property then add or subtract the terms(like terms)
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-20y
Hope this helps ;) ❤❤❤
Answer:
8x-20y
Step-by-step explanation:
3(2x-4y)-2(4y-x)
6x-12y-8y+2x
6x+2x-12y-8y
8x-12y-8y
8x-20y
What is g(h(10))? (images)
Answer:
2 sqrt(2)
Step-by-step explanation:
h(x) = 2x-8
g(x) = sqrt( x-4)
g(h(10))
First find h(10)
h(10) = 2*10 -8 = 20-8 =12
Then find g(h(10) = g(12) = sqrt( 12-4)
= sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)
Answer:
a
Step-by-step explanation:
edge 2021
Write the geometric sequence in function notation.
7, 14, 28, 56, 112, ...
3
Ax) = (7). ()x-1
f(x) = (7) · (2)X-1
O AX) = (7) . (3)X-1
Rx) = (2) (+)*-1
Answer:
a(n) = 7*2^(n - 1)
Step-by-step explanation:
The first term of the given geometric sequence, 7, 14, 28, 56, 112, ... , is 7, and the common ratio is 2. Each new term is twice the previous term.
Thus the general formula for the geometric sequence becomes
a(n) = 7*2^(n - 1).
As a check, let's see whether this formula correctly predicts the fourth term (56): Here n = 4, and so a(4) = 7*2^(4 - 1) = 7*2^3 = 7*8 = 56. Yes.
Answer:
f(x) = (7) ∙ (2)x–1
Step-by-step explanation:
The first term in the sequence is 7, and the common ratio is 2. Using the explicit formula and writing it in function notation results in f(x) = (7) ∙ (2)x–1.
3. State the general version of the recursive formula.
72,54, 36, 18,0
Answer:
a(1) = 72
a(n) = a (n-1) - 18
Step-by-step explanation:
This is a simple series of multiplication of 18 . If we divide all the numbers by 18 we get
72/18, 54/18, 36/18. 18/18, 0/18
4 , 3 , 2 , 1 , 0
So we can see that the numbers are in decreasing order as the multiples of 18.
in other words the first term is a= 72
from which we subtract 18 and get 54 and so on.
So the general rule would be
a(1) = 72
a(n) = a (n-1) - 18
Where n and (n-1 ) are subscripts. We are just subtracting 18 from the number to get the answer.
72-18= 54
54-18= 36
36-18= 18
18-18=0
If [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{4}[/tex], [tex]\frac{y}{z}[/tex] = [tex]\frac{2}{3}[/tex], [tex]\frac{z}{w}[/tex] = [tex]\frac{5}{8}[/tex], what is the value of [tex]\frac{x+y+w}{w}[/tex]?
can someone answer this QUICKLY and make it make SENSE please
Answer:
3x6, (3)(6), 6+6+6
Step-by-step explanation:
The are asking which equation matches the situation,...
3 tables, 6 chairs per table = 3 x 6chairs = 18 chairs
3x6
(3)(6)
6+6+6
What they want you to do is put that equation 3x6 in the "Represent the Situation" box and the rest in the "Do not represent Situation" one
John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
The graph below shows the relationship between the number of months different students practiced baseball and the number of games they won:
The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in slope-intercept form and use it to predict the number of games that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer:
(A) The y-intercept of the line is 1.82.
(B) The number of games that could be won after 13 months of practice is 26.
Step-by-step explanation:
The data from the provided graph is:
X Y
0 1
1 3
2 5
3 9
4 10
5 12
6 13
7 14
8 17
9 18
10 20
Here,
X : Number of Months of Practice
Y : Number of Games Won
(A)
Compute the y-intercept of the line as follows:
[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot \sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]
[tex]=\frac{122\cdot 385-55\cdot 814}{11\cdot 385-(55)^{2}}\\\\=1.818\\\\\approx 1.82[/tex]
The y-intercept of the line is 1.82.
The y-intercept is the average value of the dependent variable, here the number of games won, when the value of the independent variable, here number of months of practice, is 0.
So, a y-intercept of 1.82 indicates that on average 1.82 can be won if the number of months of practice is 0.
(B)
Compute the slope as follows:
[tex]b=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]
[tex]=\frac{11\cdot 814-55\cdot 122}{11\cdot 385-(55)^{2}}\\\\=1.855\\\\\approx 1.86[/tex]
The equation for the line of best fit in slope-intercept form is:
[tex]y=1.82+1.85x[/tex]
Predict the number of games that could be won after 13 months of practice as follows:
[tex]y=1.82+1.85x[/tex]
[tex]=1.82+(1.85\timex 13)\\=25.87\\\approx 26[/tex]
Thus, the number of games that could be won after 13 months of practice is 26.
Picture below maths :
Step-by-step explanation:
f(g(x))= f(2x)
f(g(x))=3+cos2x
g(f(x))=g(3+cosx)
g(f(x))=2(3+cosx)
g(f(x))=6+2cosx
where,
f(g(x))=g(f(x))
3+cos2x=6+2cosx
2cosx-cos2x+6-3=0
2cosx-cos2x+3=0
x=2pi n1+pi
n1€ z