Complete question:
Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.
Answer:
$159.60
Step-by-step explanation:
Given the following :
Sales tax = 5%
Percentage discount = 20%
Original cost = $190
Joel's incorrect expression : 0.95(190)(0.8)
Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.
B.) 20% discount = 0.2 will be deducted from 100%(1)
1 - 0.2 = 0.8
5% sales tax = 0.05 will be added :
1 + 0.05 = 1.05
Original cost = $190
Therefore,
Total cost : Original cost * sales tax * discount
Total cost = $190 * 1.05 * 0.8
Total cost = $159.60
Answer this question in one minutes
Answer:
see below
Step-by-step explanation:
We can name it by the vertex alone <Q
Or by three letters
<PQR or <RQP
Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£21,600
Step-by-step explanation:
First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.
Apply the distributive property to factor out the greatest common factor. 32 + 44 = 32+44=32, plus, 44, equals
Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Greatest common factor of 32 and 44 is 4:
32/4 = 8
44/4 = 11
Factor 4 out of the equation 32 + 44 =
The factored form would be 4(8 + 11)
A train leaves at 12.13 and arrives at its destination at 13.03. If the train travelled 83 km, what was it's average speed in km/h? Give your answer rounded to 1 dp
Answer:
1.7km/h
Step-by-step explanation:
speed is distance over time,the time difference is 50 min and the distance is 83,you divide 83 by 50 to give you the answer
10 POINTS!!!!
suppose f(x)=x^2 -1 find the graph of f(2/3x)
please include a picture of the graph
Step-by-step explanation:
[tex]f( \frac{2}{3} x) = \frac{4}{9} {x}^{2} - 1 \\ \frac{4}{9} {x}^{2} - 1 = 0 \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} \\ x = - \frac{3}{2} [/tex]
we have three points of the graph
(0,-1) min point
and those two values for x.
so:
I am really struggling with this question. please help.
I believe the answer is B
The perimeter of a rectangular pool is 312 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
m
The perimeter of a rectangle is calculated by:
[tex]\boxed{P=width +width+length+ length}[/tex]
Remember: In a rectangle, opposite sides are equals.
If we know how much is the width, then it's just apply it to the expression:
[tex]P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88[/tex]
Therefore, the length of the pool is 88m.
Calculate the expected gain or loss for stock ABC
Answer:
Lose $25, Gain $5, Gain $45, Stock ABC 40%, 15%, 45%, Stock JKL 15%
Step-by-step explanation:
18+19+20+21+22+23+...................+52
Answer:
1194
Step-by-step explanation:
Answer:
The answer is 1194
Step-by-step explanation:
It goes up by one point each so if you add all the numbers from 18 thru 52 you would get the answer.
In a paragraph, COMPARE and CONTRAST constant rate of change and average rate of change.
Answer:
The constant rate of change would be considered slope. It would define the rate of change for the entire line, meaning it would show the constant change for infinity. The average rate of change would be the change between 2 data/set points. It would not be applied to infinite numbers, but only given points and numbers.
the sum of two numbers is-5.When twice the first number is added to the second number the result is -2,find the two numbers
Answer:
Step-by-step explanation:
First write the question as an equation
x+y = -5
2x+y = -2
From the given equations, we can create a third one.
x+y+2x+y = -7 or 3x+2y = -7
Use trial and error method for the possible values x and y
We know that at least one of these two have to be negative.
x can be 1, in which case y has to be 5.
Check this for
x+y ≠ -5
x can be -1
Try another one where x = -1 and y has to equal -2
Check this
X
x+y = -5
but,
2x+y ≠ -2
Another one,
Answer:
3 and -8
3 x 2 = 6
6 + -8 = 2
3 + -8 = 5
You have to find out which numbers add up to -5
Mainly trial and error
Step-by-step explanation:
Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B √34 C 6 D √41
DDDDDDDDDDDDDDDDDDDDD
this is simple! hope u guys can do it so i can give out brainliest!!
Answer:
A) 27.6
B) 978.3
C) 42.9
D) 9
Step-by-step explanation:
I'm pretty sure its suppose to b 1 answer but i didn't do this question.
Answer:
A)= 27.6 B)= 978.3 C)= 42.9 D=9
Step-by-step explanation:
help!!!
evaluate 0.2m + 6 - 4n when m=20 and n= 1/2
Answer:
Step-by-step explanation:
0.2(20)+6-4(1/2)=4+6-2=8
Answer:
0.2(20)+6-4(112)=4+6-2=8
E
Given ADEF, which is not equal to cos(F)?
5
5
sin(F).
O sin(D).
tan(F).
COS(D).
D
F
5/5
6
NI
Answer:
what explain more send picture of the question
Step-by-step explanation:
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Given triangle DEF:
DE = EF (Hence it is an isosceles triangle)
∠F = ∠D ( Isosceles triangle)
cos(F) = cos(D) = 5 / 5√2 = 1/√2
sin(F) = sin(D) = 5 / 5√2 = 1/√2
tan(F) = tan(D) = 5 / 5 = 1
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
Find out more on Trigonometric ratio at: https://brainly.com/question/24349828
Which expression is equivalent to p q? p + q p minus q StartFraction p Over q EndFraction q p answer i giveing branily
Answer:
qp
Step-by-step explanation:
Given
pq
Required
Find an equivalent expression
The rule that's applicable to this question is the multiplicative property;
The multiplicative property states that:.
ab = ba
Using the same logic in this case;.
pq will be equivalent to qp.
Take for instance;
21 * 18 = 18 * 21 = 378
37 * 19 = 19 * 37 = 703
m * y = y * m
So, from the list of given options, the correct answer is qp
Answer: the correct answer is qp just did quiz
Step-by-step explanation:
SOMEONE HELP!! I will mark you as brainlist!!!
Answer:
Step-by-step explanation:
In arithmetic progression common difference is given by
d = nth term - (n-1)th term.
In geometric progression common ratio is given by
r = nth term / (n-1)th term.
Another thing important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.
we will be using this concept to solve this problem.
________________________________
Let look at the problem
series
11, 6 ,1
Lets try to find common difference for this series
common difference of third and second term = 1-6 = -5
common difference of second term and first term = 6 -11 = -5
Thus, we see that common difference is same in both case ,
hence it can be concluded that series is Arithmetic progression.
another way to validate this is
nth term of AP is given by
nth term = a + (n-1)d
where a is first term
lets try to find third term using this formula and using d = -5 and a = 11
3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1
Thus, we see that third term calculated is same as given in series i.e 1
Hence series is Arithmetic progression validated as well.
______________________________________________
Problem is solved but lets see if the series is GP or not
common ratio of third and second term = 1/6 = 1/6
common ratio of second term and first term = 6 /11
Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.
if ABCDE is rotated 180 degrees clockwise around A, translated 2 units down, what are the new coordinates A?
Answer:
(0, -2)
Step-by-step explanation:
The question is not complete, the coordinates of point A are not given. Let us assume A = (3, 2).
If a point D [tex](x_1,y_1)[/tex]is rotated about a point E([tex]x_2,y_2[/tex]), First E is made the center of origin. This is done by making a new point F = D - E. Therefore F = [tex](x_1-x_2,y_1-y_2)[/tex].
If a point D [tex](x_1,y_1)[/tex] is rotated 180 degrees, the new ordinates becomes [tex]D'(-x_1,-y_1)[/tex]
If a point D [tex](x_1,y_1)[/tex] is translated x units down,, the new ordinates becomes [tex]D'(x_1,y_1-x)[/tex]
Let us assume A = (3, 2).
If ABCDE is rotated 180 degrees clockwise around A, Firstly A is made the center of origin. For point A, the new point by making A the center of origin is A' = A - A = (3, 2) - (3, 2) = (3-3, 2-2) = (0, 0). Therefore the 180 degrees rotation becomes A'' = (-0, -0) = (0,0)
If it is then translated 2 units down, the new coordinates are (0, 0-2) = (0, -2)
Find the slope then the y - intercept of the line. Y = -5/2x + 3
Answer:
m = -5/2
b = 3
Step-by-step explanation:
The equation is in y = mx +b form where m is the slope and b is the y-intercept. This means that the slope is -5/2 and the y-intercept is 3.
The segments shown below could form a triangle.
sorry i don,t unerstan what u wn,t
A cone has radius 5x cm and a height 12x cm.A sphere has radius r cm.The cone has the same total surface area as the sphere.Show that r²=45÷2 x². (The curved surface area,A, of a cone with radius r and slant height l is A=πrl.) (The surface area,A, of a sphere with radius r is A=4πr².)
someone please help with this last one
Answer:
r^2 = 45÷2 x^2
Step-by-step explanation:
Details of cone:
Radius(r) = 5x cm
Height(h) = 12x cm
Slant height(l) = √(12x^2 + 5x^2)
l = 13x cm
Total surface area of a cone (T. S. A) = πrl + πr²
T. S. A = π * 5x * 13x + π5x^2
T.S.A = π65x^2 + π5x^2
T.S.A = π65x^2 + π25x^2
T.S.A = 90πx^2 - - - - - (1)
Details of sphere:
Radius (r) = r cm
Total surface area = 4πr²
Total Surface area of sphere= 4πr²cm - - - (2)
Equating (1) and (2) to calculate r
4πr² = 90πx^2
r^2 = 90πx^2 / 4π
r^2 = 90π (x^2) / 4π
r^2 = 45/2 (x^2) ;
r^2 = 45÷2 x^2
Hence the proof
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Oy= 1-X
Oy =-x-1
Oy=x-1
Answer:
y = x-1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y= 1x -1
y = x-1
The slope intercept form is,
y = x -1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, The slope intercept form is
y = mx + b
where m is the slope and b is the y intercept
Here, We have;
The slope of a line is 1, and the y-intercept is -1.
Hence, We get;
The slope intercept form is,
y = 1x -1
y = x - 1
Thus, The slope intercept form is,
y = x -1
Learn more about the equation of line visit:
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I need this answer ASAP please! The rectangle in the figure is composed of six squares. Find the side length of the largest square if the side length of the smallest square is 1.
Answer:
7
Step-by-step explanation:
The smallest = 1
Then the 2 off = 4
Then 5, then 6 and finally 7
Sides of the rectangle:
4+4+5=13
6+7= 13
7+4=11
5+6=11
7 units are the side length of the largest square.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
Given :
Let x be the side length of the second-smallest square.
Since the following size is square and 2 taller than the "x" square, its side length is (x+2).
This indicates that the bottom is longer (2x+x+2).
This can be used to discover expressions for the rectangle's top, left, and right sides. You can solve for x and consequently both dimensions because the top and bottom are identical in length.
Therefore, 7 units are the side length of the largest square.
To know more about squares refer to :
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The endpoints of JK are J(–25, 10) and K(5, –20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?
Answer:
-11
Step-by-step explanation:
You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.
Difference in y:
-20 - 10 = -30
7 + 3 = 10
7/10 * (-30) = -21
Add -21 to 10:
10 + (-21) = -11
The y-coordinate is -11.
What is the height of the prism if there is 3 meters,2 meters,and 36 cubic meters
Answer:
hope its what you are searching for....
HURRY PLEASE!!!!
in circle O, line SU is a diameter. what is the measure of arc ST?
100°
108°
130°
160°
Answer:
130
Step-by-step explanation:
PLS HELP ME IMA GIBE BRAINLIST AND A LIKE
Answer:41.7
Step-by-step explanation:let the unknown percent be x
X\100 of 48=20
X/100 x 48 =20
48x/100= 20
Cross multiply
48x =100 x 20
48x = 2000
Divide both sides by 48
X= 2000/48
X= 41.7
What action would you use to solve c-3=12
Answer:
c=15
Step-by-step explanation:
you would add 3 to 12 and end up with c=15
A ball is thrown in air and it’s height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t) =-t^2+7t. When is the ball higher than 10 feet off the ground?
Answer:
The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds
Step-by-step explanation:
In the above question, we are given the equation:
h(t) =-t²+7t.
We are asked to find the time (t) when the ball will be higher than 10 feet.
h(t) = height = 10 feet.
So we have:
10 = -t² + 7t
t² - 7t + 10 = 0
We have a quadratic equation hence we factorise.
t² - 5t - 2t + 10 = 0
(t² - 5t) +(2t - 10)= 0
t(t - 5) + 2 (t - 5) = 0
(t - 2) (t - 5) = 0
t - 2 = 0, t = 2
t - 5 = 0, t = 5
t = 5 and t = 2
Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.
A cone has a radius of 5 cm and a slant height of 10 cm. What is The area of the base of the cone
Answer:
25π cm^2 ≈ 78.5 cm^2
Step-by-step explanation:
The base is a circle with a radius of 5 cm. Its area is given by ...
A = πr^2
A = π(5 cm)^2 = 25π cm^2 ≈ 78.5 cm^2