Answer:
Rs. 300
Step-by-step explanation:
The bicycle marked price = Rs. 2000
The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921
The VAT applied = 13%
The amount given as the discount = Required
The VAT is applied to the selling price
Let d represent the discount amount, we have;
The selling price = 2000 - d
The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13
The amount the customer bought it including VAT = The selling price + The amount paid as VAT
The amount the customer bought it including VAT = Rs. 1921
∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d
1.13·d = 2,260 - 1,921 = 339
d = 339/1.13 = 300
The amount given as discount, d = Rs. 300
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
Please help me with this ASAP
2 3/4 ÷ 4/2
Answer:
11/8
Step-by-step explanation:
2 3/4 ÷ 4/2
11/4 ÷ 4/2
11/4 × 2/4
22/16
11/8
Answer:
.75 i think but check my explanation first
Step-by-step explanation:
if the problem is 2(3/4 ÷ 4/2) it's .75. But if 2 3/4 is a mixed fraction, it should be 1.375.
please help asap ill give brainliest
Answer:
384 ft, this is the required answer
Answer:
area of shaded part = 512 ft^2
Step-by-step explanation:
find area of rectangle
length = 32 +8
=40 ft
breadth = 8 + 8
=16 ft
area of rectangle = l*b
=40*16 ft
=640 ft
since there are two square .we should find the area of two sqaure.
length = 8 ft
area of square = l^2
=8^2
=64 ft^2
area of another square = l^2
=8^2
=64 ft^2
area of shaded part = area of rectangle - (area of square + area of square)
=640 -(64 + 64) ft^2
=640 - 128 ft^2
=512 ft^2
Complete the square x2+6x+3
x^2 + 6x + 9
x^2 + 3x + 3x + 9
x ( x + 3 ) + 3 ( x + 3 )
( x + 3 ) ( x + 3 )
( x + 3 ) ^2
Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?
Answer:
f'(2) = 1/4
Step-by-step explanation:
We know that:
g(x) = x^3 + x
and f(x) is the inverse function of g(x), such that:
f(2) = 1
this is because:
g(1) = 1^3 + 1 = 2
We want to find:
f'(2)
The general formula for this case is:
if f(x) is the inverse of g(x)
and f(x) = y
then:
f'(y) = 1/g'(x)
Then in this case,
f'(2) = 1/g'(1)
so we just need to differentiate g(x)
g'(x) = 3*x + 1
and:
g'(1) = 3*1 + 1 = 4
Then:
f'(2) = 1/g'(1) = 1/4
f'(2) = 1/4
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answer:
7.789
Step-by-step explanation:
i got it right and
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer:
13 : 8
Step-by-step explanation:
Number of plain bagels sold = 8
Number of rye bagels sold = 13
Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8
Also written as
13/8
Or
13 to 8
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer: It is 13: 8.
Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.
Answer:
25√3mm
Step-by-step explanation:
this might be the answer..
Answer:
[tex]25\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{10^2*\sqrt{3} }{4}[/tex]
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Given:
Two rectangles are similar.
Length of first rectangle = 18 cm
Width of first rectangle = 6 cm
Width of second rectangle = 2 cm
To find:
The length of the second rectangle.
Solution:
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]
Let x be the length of the second rectangle. Then,
[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]
[tex]3=\dfrac{x}{2}[/tex]
[tex]3\times 2=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the second rectangle is 6 cm.
The product of 5 and y is equal to 45.
need help
Answer:
y is -4.55
Step-by-step explanation:
Answer:
9 would be the correct solution to this question?
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answer:
f=1
Step-by-step explanation:
Answer:
Then vaule of f is 1
Step-by-step explanation:
The vaule of f is 1 because 7 x 1 = 7 - 1 =6
A right triangle with the leg lengths of 7ft and 10ft. Using this information, find the length of the hypotenuse. Then round your answer to the nearest hundredth.
Answer:
12.21
Step-by-step explanation:
Explanation:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs of a triangle is equal to the squared hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse of a triangle is the longest side.
Formula/solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
Here, I am solving for the hypotenuse.
[tex]7^2+10^2=c^2[/tex]
[tex]49+100=c^2[/tex]
[tex]149=c^2[/tex]
Conclude:
The last step is the cancel out c² by finding the square root of 149.
149 is not a perfect square, so I must round the square root to the nearest hundredth.
[tex]12.2065556157[/tex] ≈ [tex]12.21[/tex]
I, therefore, believe the length of the hypotenuse is 12.21 feet.
PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......
Hey buddy I am here to help!
1. 8*5*2 = 40*2= 80cm2
3. 10*25*60 = 250*60 = 15000m2
2. 12*12*12 = 36cm2
4. 3*5*18 = 90*4 = 360m2
Hope my answer helps!
Plz mark me brainliest!
● Question 3. answer is wrong in last multiply so their answer is 1728m^3...
In this image their in question (1,2,3,4) answer...
I hope you understand...
Mark me as brainliest....
Thanks
x^{2} -(3+\sqrt{3} )x +\sqrt{3} -2=0
Answer:
[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]
Name the marked angle in 2 different ways.
1) angle LKM
2) angle MKL
Find the Pythagorean triplets whose one number is 24.
Answer:
25, 24, 7
Step-by-step explanation:
Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle?
Answer:
$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.
Step-by-step explanation:
Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:
55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5
57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282
65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560
Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.
Find The Measure Of D
Answer:
138 Degrees
Step-by-step explanation:
Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.
Answer:
D+42*=180*
D=180-42
138
Step-by-step explanation:
mark as brainiest please
Answer please ill apprciate it
Answer:
is B. 75
Step-by-step explanation:
x+26=101
x=101-26
:. x=75
[tex]\huge\boxed{\fcolorbox{lime}{yellow}{ B. \:75}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]x + 26 = 101[/tex]
[tex]➺ \: x = 101 - 26[/tex]
[tex]➺ \: x = 75[/tex]
Therefore, the value of [tex]x[/tex] is 75.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]➺ \: x + 26 = 101[/tex]
[tex]➺ \: 75 + 26 = 101[/tex]
[tex]➺ \: 101 = 101[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
This is math all right.
Answer:
1 and 3
Step-by-step explanation:
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
Fragrant Fields Greenhouse sold 24 rose bushes.
Step-by-step explanation:
We know that:
1 rose bush = $19.90
And last weekend, the company ended up making $477.60 on rose bushes.
An equation that can represent this situation is:
19.90x = 477.60
To find x, divide:
477.60 ÷ 19.90 = 24
CHECK IT:
19.90(24) = 477.6
That is also $477.60, in terms of money
THEREFORE, the company sold 24 rose bushes.
Hope this helps!
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)
Solve the following word problems.
1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning?
How many red and blue marbles did he have now?
Answer:
see below
Step-by-step explanation:
R:B = 8:3
5 ratio marbles is 35 (to make ration 3:3)
1 ratio=7
He originally had 56 red marbles and 21 blue (77 total)
Now he has 21 Red and 21 Blue (42 total)
A rectangular prism has a 4-inch-by-5-inch base and
a height of 3 inches. What figure represents a cross
section parallel to the base of the prism?
Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.
TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
HELPPPPP AGAIN please
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )
20 × tan34° = x , then
x ≈ 13.5 ( to the nearest tenth )
SOMEBODY PLEASE HELP
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .Please helppppppp I don’t get this
Answer:
B. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.
Step-by-step explanation:
A system of two lines has:
No solutions: When both lines have the same slope but a different x and y-intercept.
One solution: When both lines have different slopes.
Infinitely many solutions: When both lines have the same slope and same x and y-intercept.
Since it is given that the lines have different slopes, the equation has only one solution.
We do not need to check the y-intercept.
Megan is correct.
♛ Mark me as Brainliest if I’m right
What is the least number of cuts you would need to make to cut a 3 by 3 by 3 inch block of cheese into 1 by 1 by 1 inch blocks of cubes?
Answer:
6 Cut Minimum
Step-by-step explanation:
According to the Question,
You have a 3x3x3 cube.
First make two cuts parallel to base of the cube each at a distance of 1 unit . This leaves you with three cuboids of dimensions 3x3x1. Now make two parallel cuts parallel to the height of the cube. This leaves you with nine cuboids of dimensions 3x1x1. Now make the final two cuts each 1 unit apart parallel to width and you are left with 27 cubes of 1x1x1.So , the final answer is 6 cuts.