Answer:
2
Step-by-step explanation:
X^2+Y^2=4=2^2
Allowing 20 % discount on the marked price of an article and levying 15 % VAT. a buyer has to pay Rs 9.200 for the article. Find the marked price of the article.
Answer:
here I'm confused that whether the selling price is Rs.9,200 or Rs.9.200
any ways you can take the help of below procedure
Step-by-step explanation:
here,
let marked price be X
discount(d)=20%
VAT=15%
SP with VAT= 9200
now,
SP without VAT= SP - VAT of SP
= 9200-15/100 ×9200
= 9200- 1380
=Rs. 1380
again,
SP= MP - D of MP
or,7820= x- 20/100 × x
or, 7820× 100 = 100x- 20x
or,782000=80x
or, 782000/80=X
or, X= 9775.
hence MP is Rs 9775
Can someone help me with this question? Will give brainliest.
Answer:
5.2561
step by step explanation:
using BODMAS, multiplication comes before addition.
Therefore,
[tex] \sqrt{1.13 + (2.84 \times 9.33)} [/tex]
[tex] \sqrt{1.13 + 26.4971} [/tex]
[tex] \sqrt{27.6272} [/tex]
Therefore the answer is
5.2561
A, B and C, in that order, are three-consecutive whole numbers. Each is greater that 2000. A is a multiple of 4. B is a multiple 5. C is a multiple of 6. What is the smallest possible value of A?
Answer:
[tex]A=2044[/tex]
Step-by-step explanation:
Note that [tex]x\in\mathbb{W}[/tex] denotes that [tex]x[/tex] is a whole number.
By definition, consecutive numbers follow each other when we count up (e.g. 1, 2, 3).
Let's consider our conditions:
A, B, and C are consecutive whole numbers greater than 2,000A is a multiple of 4B is a multiple of 5C is a multiple of 6Since B is a multiple of 5, the ones digit of B must be either 0 or 5. However, notice that the number before it, A, needs to be a multiple of 4. The ones digit of a number preceding a ones digit of 0 is 9. There are no multiples of 4 that have a ones digit of 9 and therefore the ones digit of B must be 5.
Because of this, we've identified that the ones digit of A, B, and C must be 4, 5, and 6 respectively.
We can continue making progress by trying to identify the smallest possible whole number greater than 2,000 with a units digit of 6 that is divisible by 6. Notice that:
[tex]2000=2\mod6[/tex]
Therefore, [tex]2000-2=1998[/tex] must be divisible by 6. To achieve a units digit of 6, we need to add a number with a units digit of 8 to 1,998 (since 8+8 has a units digit of 6).
The smallest multiple of 6 that has a units digit of 8 is 18. Check to see if this works:
[tex]C=1998+18=2016[/tex]
Following the conditions given in the problem, the following must be true:
[tex]A\in \mathbb{W},\\B\in \mathbb{W},\\C\in \mathbb{W},\\A+1=B=C-1,\\A=0\mod 4,\\B=0\mod 5,\\C=0\mod 6,[/tex]
For [tex]C=2016[/tex], we have [tex]B=2015[/tex] and [tex]A=2014[/tex]:
[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2014\neq 0\mod 6, \times\\B=2015=0\mod 5,\checkmark\\C=2016=0\mod 6\checkmark\\[/tex]
Not all conditions are met, hence this does not work. The next multiple of 6 that has a units digit of 8 is 48. Adding 48 to 1,998, we get [tex]C=1998+48=2046[/tex].
For [tex]C=2046[/tex], we have [tex]B=2045[/tex] and [tex]A=2044[/tex]. Checking to see if this works:
[tex]A\in \mathbb{W},\checkmark\\B\in \mathbb{W},\checkmark\\C\in \mathbb{W},\checkmark\\A+1=B=C-1,\checkmark\\A=2044=0\mod 4,\checkmark\\B=2045=0\mod 5,\checkmark\\C=2046=0\mod 6\checkmark[/tex]
All conditions are met and therefore our answer is [tex]\boxed{2,044}[/tex]
Click on the graphic to select the figure that would make the following "a reflection in line k."
Answer: Choice A (both are smiley faces)
This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
Find the slope of the line that passes through the points (-12,10) and (-18,14).
PLEASE HELP ASAP
Answer:
-2/3
Step-by-step explanation:
The slope is -2/3 because the slope formula, y2-y1/x2-x1
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\huge\boxed{\mathsf{Formula: m = \dfrac{y_2- y_1}{x_2- x_1}}}}[/tex]
[tex]\boxed{\huge\boxed{\mathsf{m = \dfrac{14 -10}{-18 - (-12)}}}}\\\\\\\huge\textsf{14 - 10 = \bf \boxed{\bf 4}}\\\\\\\huge\textsf{-18 - (-12)}\\\huge\textsf{= -18 + 12}\\\huge\textsf{= \bf -6}\\\\\boxed{\huge\boxed{\mathsf{m = \dfrac{4}{-6}}}}[/tex]
[tex]\boxed{\huge{\boxed{\mathsf{m = \dfrac{4\div2}{-6\div2}}}}}\\\\\huge\boxed{\mathsf{4\div2 = \bf 2}}\\\huge\boxed{\mathsf{-6\div2 = \bf -3}}\\\\\\\boxed{\boxed{\huge\boxed{\mathsf{\star m = \bf \dfrac{2}{-3}\star}}}}[/tex]
[tex]\boxed{\boxed{\huge \boxed{\mathsf{Answer: }\frak{\dfrac{2}{-3}}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\frak{Good\ luck\ on\ your\ assignment\ \& \ enjoy \your \ day!}}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
Please help explanation if possible
Answer: x = 2 and y = -4
x + 2y = -6
x = -6-2y
Putting this in value of x in
6x + 2y = 4
6(-6-2y) + 2y = 4
-36-12y+2y = 4
-10y = 4+36
y = 40/(-10)
y = -4
Now putting this value of y in
x + 2y = -6
x + 2(-4) = -6
x -8 = -6
x = -6+8
x = 2
Therefore x = 2 and y = -4
If we put these values we can check this
x + 2y = -6
2 + 2(-4) = -6
2 -8 = -6
-6 = -6
please click thanks and mark brainliest if you like :)
Can someone help me ASAP this is almost due
Answer:
5
Step-by-step explanation:
8-1-(18-2)÷8
PEMDAS says parentheses first
8-1-16÷8
Then divide
8-1-2
Then subtract from left to right
7-2
5
how do i find perimeter and area of this triangle?
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
What is the total surface area of a cuboid with length 16cm, width 8cm and height 6cm?
Answer:
Step-by-step explanation:
The dimensions as a pair, appear twice for each combination.
SA = 2* 16 * 8 + 2 * 16 * 6 + 2*8* 6
That's because when you look at the figure, there are 2 places each face is positioned.
SA = 256 + 192 + 96
SA = 544
3. A straight line passes through two points with
coordinates (6,8) and (0,5).
Work out the equation of the line.
Answer:
Step-by-step explanation:
Find the slope of the line
(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]
m = 1/2 ;(x₁ , y₁) = (6 , 8)
y - y₁ = m(x - x₁)
[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
6. Yes: these two angles are opposite 2 equal line.
7. No: We don't know that AC bisects <JAD
8. No: We don't know that JCA or DCA are right angles.
9. Yes. Both angles have AC in common. JD is a straight line which has 180 degrees. AC intersects a JD and creates 2 angles. We know their total but not their equality.
10. Yes. They are given as equal.
Not everything you see is true just because it looks that way.
I need help!!! Need it asap!!!!!
Answer:
Not enough infomation, you need to provide #12
Step-by-step explanation:
A fruit stand has to decide what to charge for their produce. They decide to charge \$5.30$5.30dollar sign, 5, point, 30 for 111 apple and 111 orange. They also plan to charge \$14$14dollar sign, 14 for 222 apples and 222 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
a + b = 5.30
a + b = 7
No
Step-by-step explanation:
Expressing the information as system of linear equation :
Let apples = a, oranges = b
If $5.30 is charged for one apple and one orange, then we have ;
a + b = 5.30 - - - (1)
If $14 is charged for 2 apples and 2 oranges, then we have ;
2a + 2b = 14 - - - - (2)
a + b = 7
Since both equations gives varying combined cost for equal amount of the fruit, then a unique cost cannot be obtained for each fruit from the systems of equation using simultaneous equation process.
From (1)
a = 5.30 - b
Put a = 5.30 - b in (2)
2(5.30 - b) + 2b = 14
10.6 - 2b + 2b = 14
10.6 = 14 - - - - - (variables cancels out).
Answer:No the System has no solution
Step-by-step explanation:
A triangle can have at most___ right angle
О
2
4
1
a right angle can have at least 2
Can somebody help me PLEASE IM BEGGING YOU !!
Answer:
37
Step-by-step explanation:
360 -(110+110+66) = 74
74/2 = 37
Find derivative of 3x^2+4 using limits
The derivative of a function f(x) is defined as
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]
For f(x) = 3x ² + 4, we have
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x+h)^2+4) - (3x^2+4)}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x^2+2xh+h^2) - 3x^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{6xh+3h^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}(6x+3h) = \boxed{6x}[/tex]
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.
Area of a square is side^2
Diagonal of a square is sqrt(2) x side
Using this rewrite the area formula as :
1/2 x diagonal^2
Area = 1/2 x 40^2 = 800
Area = 800 m^2
Answer = b) 800m^2
Determine what type of model best fits the given situation: A retirement account that is expected to
grow by $1,000 per year.
Answer:
Step-by-step explanation:
If the account grows steadily, this is a linear representation, where the constant, steady growth translates to the slope of a line.
15x + 14 = 149
Plz solve for x
Answer:
x = 9
Step-by-step explanation:
When doing these types of problems, the main goal is to get the variable by itself. Its kind of hard to explain with words so I will just use numbers.
15x + 14 = 149
(Subtract 14 on both sides. Remember, when you do something (Like subtracting, adding, etc.) on one side you have to do it to the other.)
15x + 14 = 149
-14 = -14
---------------------------
15x = 135
(Divide 15 on both sides. Since we need to use inverse operation to cancel the 15 out, we would divide 15 on both sides.)
15x/15 = 135/15
x = 9
Hope this helps :)
Answer:
x=9Step-by-step explanation:
[tex]\sf 15x + 14 = 149[/tex]
[tex]\sf 15x+14-14=149-14[/tex]
[tex]\sf 15x=135[/tex]
[tex]\sf \cfrac{15x}{15}=\cfrac{135}{15}[/tex]
[tex]\sf x=9[/tex]
If x−2/4=2, then x=10
Answer:
True.
Step-by-step explanation:
[tex]\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2[/tex]
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
Find the slope of
(-3,6)(5,-4)
Answer:
Slope: -5/4
Step-by-step explanation:
Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{-4-6}{5-(-3)}[/tex]
Solve:
[tex]\frac{-4-6}{5-(-3)}[/tex]
-4 - 6 = -10
5-(-3) = 8
-10 5
----- = - -----
8 4
The answer is -5/4
Hope this helped.
what is the relation that represents the relation
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
can i get some help please
Hi there!
[tex]\large\boxed{102^o}[/tex]
Using the triangle exterior angle theorem, we know that:
∠4 = the other two angles of the triangle combined (both are given)
Thus:
∠4 = 51 + 51 = 102°
Angle 4 is an outside angle.
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
The two opposite inside angles to angle 4 are shown as 51 and 51
Angle 4 = 51 + 51
Angle 4 = 102 degrees.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER
Answer:
V=l×w×h
so the answer is 66km
11×2×3=66
Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total fare was $48.70, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride. write the equation
What is the equation of the line that passes through (-1, 5) and (3, -7)?
Answer:
[tex] 3x + y = 2 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]
[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]
[tex] y - 5 = -3(x + 1) [/tex]
[tex] y - 5 = -3x - 3 [/tex]
[tex] 3x + y = 2 [/tex]
Write an equation of the graph (shown below) in slope intercept form.
Tính giá trị của I = [tex]\lim_{x \to \infty}[/tex] ([tex]\frac{4^{n} - 5.3^{n} + 1}{2.4^{n} + 2}[/tex])
I assume you're supposed to find the limit as n approaches infinity, not x.
You have
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5.3^n+1}{2.4^n+2} = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-\left(\dfrac{5.3}{5.3}\right)^n+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}} \\\\ = \lim_{n\to\infty}\frac{\left(\dfrac4{5.3}\right)^n-1+\dfrac1{5.3^n}}{\left(\dfrac{2.4}{5.3}\right)^n+\dfrac2{5.3^n}}[/tex]
For |x| < 1, we have lim |x|ⁿ = 0 as n goes to infinity. Then each exponential term converges to 0, which leaves us with -1/0. This means the limit is negative infinity.
On the other hand, perhaps you meant to write
[tex]\displaystyle \lim_{n\to\infty}\frac{4^n-5\times3^n+1}{2\times4^n+2}[/tex]
The same algebraic manipulation gives us
[tex]\displaystyle\lim_{n\to\infty}\frac{\left(\dfrac44\right)^n-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2\left(\dfrac44\right)^n+\dfrac2{4^n}} = \lim_{n\to\infty}\frac{1-5\left(\dfrac34\right)^n+\dfrac1{4^n}}{2+\dfrac2{4^n}}[/tex]
Again the exponential terms converge to 0, but this time we're left with the limit 1/2.