=======================================================
Work Shown:
x = price before the discount
30% of x = 0.30x = amount saved
x - 0.30x = 0.70x = price after discount = 1659
0.70x = 1659
x = 1659/(0.70)
x = 2370
First we'll have to convert the percent into decimal.
We'll have to divide the value by 100.
[tex]\frac{30}{100}[/tex]
[tex]\bold{=0.30}[/tex]
Now, we can find the original price.
[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]
We have all the necessary values to find the original price.
Let's solve!
Substitute the values according to the formula.
[tex]OP=\frac{1659}{1-0.30}[/tex]
OP= $2370
Therefore, the original price of the television set is $2370
Can someone help me out with this, it’s urgent. It’s geometry
The constructed bisector of line segment given below in the image.
Process to construct the bisector of a line segment :
Step 1 : Make the compass length ( the distance between the pointed leg and the pencil leg) slightly greater than half the length of the line segment OP. Place the point of the compass on O. Make arcs above and below the line segment OP.
Step 2 : Using the same compass length as same as the previous one, place the point of the compass on P. Make arcs above and below line segment OP. These arcs must intersect the arcs made in previous step.
Step 3 : Connect the points where the arcs intersect. Label the line segment MN and the point where the line intersects OP, Q.
Step 4 : Line segment MN bisects line segment OP at midpoint Q.
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Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords is 30891577600
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What is the slope of this line? 4 34 −34 −3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
The required slope of the line given by m = -3/4.
The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)
A line can be defined by a shortest distance between two points is called as a line.
equation of the given line is |
y =[tex]\frac{-3}{4}[/tex]x + 2
slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.
Thus the required slope of line y =[tex]\frac{-3}{4}[/tex]x + 2is given by m= -3/4 , This line passes through points (0, 2) and (4, -1).
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Are the equations -11(x-2)=8 and x-2=8+11 equivalent?
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Then the equation is given below.
-11(x - 2) = 8
By simplifying, we have
x - 2 = - 8 / 11
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
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graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
O(-2,-3)
O (3, 1)
O (1,3)
(3,2)
Answer:
Coordinates follow (x,y) so to find a solution to the line you want to find a point in (x,y) form which is on the line.
This means (1,3) is a solution because at x=1 and y=3 it is on the line.
C | (1,3)
Question 3
In Question 1, what do you notice about the x-coordinates before and after a horizontal stretch? What do you notice about the y-coordinates
before and after a vertical stretch? Express your answer in terms of Nx and Ny
The y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
How to depict the coordinate?It should be noted that coordinates are vital in determine the position of an object or points.
In this case, the y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
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Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
PLSS HELP ME PLSSS
a) Write 2 expressions for the area of the shaded region. (2 marks)
b) Find the length of the shaded region if the perimeter is 48cm. (2 marks)
c) Find the area of the shaded region if perimeter is 48cm. (1 mark)
Answer:
(1) 85×9=765 (2) 127×3=381
A car garage fits 17 rows of 30 cars on each of the 3 floors. How many cars are there if the car park is full?
Answer:
1,530
Step-by-step explanation:
What is the factored form of the following expressions?
x2 – 10xy + 24y2
Answer:
(x-6y)(x-4y)
Step-by-step explanation:
Answer both 2 and 3 please
2.
1 day = 24h
1h = 60min
We have 4h 20min
[tex]4h + 20min = 4h+\dfrac{20}{60}h=4h+\dfrac{1}{3}h=4\dfrac{1}{3}h=\dfrac{13}{3}h[/tex]
[tex]\dfrac{\frac{13}{3}}{24}=\dfrac{13}{3}\cdot\dfrac{1}{24}\\\\\huge\boxed{(D)\ \dfrac{13}{72}}[/tex]
3.
6:51PM + 9min → 7:00PM
7:00PM + 27min → 7:27PM
9min + 27min = 36min
[tex]36min=\dfrac{36}{60}h=\dfrac{3}{5}h[/tex]
[tex]\huge\boxed{(C)\ \dfrac{3}{5}}[/tex]
Find the missing term or terms in each arithmetic sequence.
4) ..., 27,__,__,__, 43, ...
I need help again please!!!!!!
Answer:
I believe the terms would be 31, 35, 39.
Step-by-step explanation:
We know this because 43-27 is 16. since there are 3 terms missing, we divide the answer by 4, and you get 4. The number you get there is how many you add to each term to get the missing ones. For example, 27+4=31. The pattern is adding 4 to each term. Hope I helped!
What is the equation of the quadratic function shown in the graph?
Answer: f(x) = -2 (x+3) (x-1)
Step-by-step explanation: See Attachment
what i the solution to this equation
6 (x - 5) = 4x + 20
6 (x - 5) = 4x + 20
6x - 30 = 4x + 20
6x - 4x = 20 + 30
2x = 50
[tex]x = \frac{50}{2} [/tex]
x = 25
Answer: The value of x = 25 ✅
Step-by-step explanation:
Hii! Do you need to know the solution to the equation [tex]\boldsymbol{6(x-5)=4x+20}[/tex]? No problem! (:
Solving EquationsIn any equation, there's a variable that we need to solve for. Here the variable is "x".
So now let's solve for x...
[tex]\twoheadrightarrow\sf 6(x-5)=4x+20[/tex]
[tex]\bullet[/tex] "distribute" 6
[tex]\twoheadrightarrow\sf 6x-30=4x+20[/tex]
[tex]\bullet[/tex] subtract "4x" from both sides
[tex]\twoheadrightarrow\sf 2x-30=20[/tex]
[tex]\bullet[/tex] add "30" to both sides
[tex]\twoheadrightarrow\sf 2x=50[/tex]
[tex]\bullet[/tex] divide both sides by "2"
[tex]\twoheadrightarrow\sf x=25\;\;\;[/tex] ✅
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
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[tex]\bigstar\underbrace[/tex]
The solutions to a quadratic equation are x=4 and x=3/5. What is the original equation?
Find h(1) if h(x)=4x2 +3x - 2
Answer:
[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]
please help fast grade 5 math extra points to those who explain and giving brainliest
Answer:
[tex]\frac{45}{7}[/tex]
Step-by-step explanation:
9 is the same as [tex]\frac{9}{1}[/tex]
∴ 9 ˣ [tex]\frac{5}{7}[/tex]
= [tex]\frac{9}{1}[/tex] ˣ [tex]\frac{5}{7}[/tex]
To multiply two fractions, just multiply their numerators together and their denominators together.
9 x 5 = 45
1 x 7 = 7
∴ [tex]\frac{9}{1}[/tex] ˣ [tex]\frac{5}{7}[/tex]
= [tex]\frac{45}{7}[/tex]
find the range for the given domain: {-3,-1 and 3} and the function is y=3x^2-2x+1.
Answer:
D
Step-by-step explanation:
The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.
3(-3²) - 2(-3) + 1 Negative * Negative = Positive
3(9) + 6 + 1
34
3(-1²) - 2(-1) + 1
3 + 2 +1
6
3(3²) -2(3) + 1
3(9) - 6 + 1
22
Can someone take a look at this image and answer please!
The answers to the following question is
1) KL = 10
2) TE= 15 cm
3) angle PUT= 13
4) angle SQP = 21
What is similarity in triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
1) Using similarity property in given triangle
SR/ KI= SJ / JK
AS, JK= 2 SJ
SR/ KI= SJ / 2 SJ
5/ KI = 1/2
KL= 10
2) As, the diagonal of parallelogram bisect equally each other then
VE = TE
AS, VE = 15
So, TE= 15 cm
3) As, PU is the bisector of angle SUT
angle PUT= 1/2 (angle SUT)
PUT = 1/2 (26)
angle PUT= 13
4) As PQ is the bisector SQR
angle PQR= angle SQP = 21
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Solve x/3 = x+2/2. X=
Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
====================
Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
find the smallest 4 digit number which is exactly divisible by 72 and 108
with explaination
The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
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Find the average rate of change of f(x) = -3x² + 1 over each of the following intervals.
(a) From 2 to 4
(b) From -2 to 0
(c) From 2 to 5
The average rate of change of f(x) = -3x² + 1 over each of the given intervals are; -18, 6 nd 38
How to find the average rate of change?We are given the function;
f(x) = -3x² + 1
(a) From 2 to 4;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(4) = -3(4)² + 1
f(4) = -47 (4, -47)
Slope = (-47 - (-11))/(4 - 2)
Slope = -36/2
Slope = -18
(B) From -2 to 0;
f(-2) = -3(-2)² + 1
f(2) = -12 + 1
f(2) = -11 (-2, -11)
f(4) = -3(0)² + 1
f(4) = 1 (0, 1)
Slope = (1 - (-11))/(0 - (-2))
Slope = 12/2
Slope = 6
(C) From 2 to 5;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(5) = -3(5)² + 1
f(5) = -74 (0, -74)
Slope = ((-74) - 2)/(0 - 2)
Slope = -76/-2
Slope = 38
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Given the image below DY EY FY are perpendicular bisectors of triangle ABC
The value of FY in the triangle will be 30.11
How to calculate the value?From the information given, the value of BE will be:
= [tex]\sqrt{64.2}[/tex]² - [tex]\sqrt{51.2}[/tex]²
= 38.7
From the triangle, DY will be
= [tex]\sqrt{64.22}[/tex]² - [tex]\sqrt{61.7}[/tex]²
= 17.7
AY will be:
= [tex]\sqrt{61.7}[/tex]² + [tex]\sqrt{17.7}[/tex]²
= 64.2
FY will now be:
= [tex]\sqrt{64.2 - 56.7}[/tex]²
= 30.11
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Fraction
4 5/6 -2 2/7 - 1 3/14
Answer:
1.3 or 1.333333
Step-by-step explanation:
Just do it!
The slope of a line perpendicular to the line containing (0,3)and (-2,0) is: The slope of a line perpendicular to the line containing ( 0,3 ) and ( -2,0 ) is :
Answer:
Step-by-step explanation:
There are 20 teachers and 705 students in Corey's school.
What is the ratio of teachers to students?
A. 725:20
B. 705:20
C. 20:725
D. 20:795
Answer:
all the options are incorrect
Given - 20 teachers
- 705 students
To find - ratio of teachers to students
20/705
20 : 705 .
Solve for x (12x-7)/4=(5x+18)/3
Answer:
x = 5.81
Step-by-step explanation:
3(12x-7) = 4(5x+18)
36x-21 = 20x +72
16x = 93
x = 5.81
PLEASE HURRY I NEED TO FINISH
Answer: No
Step-by-step explanation:
A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.
Answer:
no
Step-by-step explanation:
because it does not represent any propotional relationship.
What is the value of 8+ h² when h = 3?
Answer:
17
Step-by-step explanation:
8 + h^2
Let h = 3
8 + 3^2
We find the value of 3^2 first using PEMDAS
8 + 9
Then add
17
The result is 17
Solution: 17
Detailed explanation:
[tex]\circ[/tex] Stick in the value of h, which we're provided with (3)
[tex]--\mapsto\boldsymbol{8+(3)^2}[/tex] *
*Be careful here! Here it's very easy to make a mistake, if you aren't familiar with the Order of Operations. The Order of Operations is shown below [tex]\swarrow[/tex]
P=Parentheses
This operation tells us to perform the operations in the parentheses first.
E=Exponents
This one tells us to evaluate all exponents, if any are present.
M=Multiplication | D=Division
These two are completely interchangeable; you can perform Multiplication first and then division, or the other way around.
A=Addition | S=Subtraction
Like the two operations above, A and S are also completely interchangeable.
________________________________________________________
________________________________________________________
Using the information above, let's evaluate (find the value of) the expression [tex]8+h^2[/tex].
We stick in the value of h, 3
[tex]\pmb{8+3^2}[/tex] is what we obtain
Here we see that exponents are present (3^2) so we'll evaluate that first, as P.E.M.D.A.S. tells us to do.
[tex]\pmb{8+9}[/tex] (3^2=3*3)
And Now we just need to add the numbers
[tex]\boldsymbol{17}[/tex]
Voila! There's our answer!
Cheers!! ^-^_____________________
Hope I helped. Best wishes.
Reach far. Aim high. Dream big.
[tex]\cal ReFlEcTioN[/tex]
_____________________
Write an equation for the linear function f with the given values
Question number 8
Answer:
5. y = 2/3x + 1
8. y = 4/7x - 4
Step-by-step explanation:
5. (-6, -3) and (6, 5)
You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept
(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3
slope-intercept form: y=mx+b where m is the slope and b is the y-intercept
to find b you can plug in one of the coordinates and the slope
5 = 6(2/3) + b
5 = 4 + b
1 = b
y = 2/3x + 1
8. (-7, -8), (21, 8)
m = (8 - (-8)) / (21 - (-7)) = 16 / 28 = 4/7
plug in one of the coordinates and the slope to find b or the y-intercept
8 = 21(4/7) + b
8 = 12 + b
-4 = b
y = 4/7x - 4
Which graph represents the function f(x) = 3x-2/X-2
Answer:
Step-by-step explanation: