The price of a watch was increased by 20% to £162. What was the price before the increase?

Answer:

No, it’s 7.50

Step-by-step explanation:

The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.

Percentage is a measurement to find value of given number out of hundred.

Given that,

Cost price of one shirt = $10.

Also, Shopkeeper marks up 50 % on shirts.

Marked up price = 10 x 50% = 10 x 50 / 100 = $15

Since, shopkeeper gives discount as put the shirts on sale for 50% off.

So the price after giving discount = 15 x 50 / 100 = 7.5

The discounted price of shirt is 7.5.

Hence, the given statement that is discount price is $10 is incorrect.

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Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].

In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).

Then, we can proceed as follows.

[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]

We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so

[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]

So, the highest point in the ball's trajectory is 12 feet.

Answer:

Initial height = 1ft

Heighest height = 12ft

Step-by-step explanation:

In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)

So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]

which yields:

[tex]f(0)=1 [/tex]

so the height of the ball when it is kicked is 1 ft.

In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)

the vertex is found by using the following formula:

[tex]x=-\frac{b}{2a}[/tex]

in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:

[tex]f(x)=ax^{2}+bx+c[/tex]

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

so:

a=-0.11

b=2.2

c=1

so the vertex formula will be:

[tex]x=-\frac{b}{2a}[/tex]

[tex]x=-\frac{2.2}{2(-0.11)}[/tex]

so we get that the highest point will happen when x=10ft

so the highest point will be:

[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]

f(10)=12ft

so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.

Answer:

Step-by-step explanation:

Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.

The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...

  triangle, rectangle, square, pentagon, hexagon

__

The attachment shows some possibilities.

Answer:

Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Step-by-step explanation:

Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]

To find: quotient and remainder

Solution:

In the given question,

Dividend = [tex]5x^4+5x^2+5[/tex]

Divisor = [tex]x^2-x+1[/tex]

[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]

So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.

Answer:

what grade is this its and your answer is

Step-by-step explanation:

13/5 63/1 A = X

I would have each block be 1/6 of a yard

You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so

1/2 = (1/2)*(3/3) = 3/6

1/3 = (1/3)*(2/2) = 2/6

The diagram below might help if you're still stuck on why I picked 1/6.

Answer:

35 degrees

Step-by-step explanation:

The lower quartile is the most left point of the box but not all the way to the whiskers

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

Step-by-step explanation:

Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four

Answer:

Look at the attachment

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {hypo.}^{2} = 225[/tex]

[tex]hypo. = \sqrt{225} [/tex]

[tex]hypo. = 15 \: \: units[/tex]

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 15 \div 2[/tex]

[tex]radius = 7.5 \: \: units[/tex]

Answer: 7.5

Step-by-step explanation: Khan academy

Answer:

A.

Step-by-step explanation:

Just find the lowest common multiple of 51 and 85.

51 = 3 * 17

85 = 5 * 17

3 * 5 * 17 = 255

The lowest common denominator for the fractions is 17.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

fraction = 8/51 and 19/ 85

Now, LCM of 51 and 85.

51 = 17 x 3

85= 17 x 5

So, the least common multiple is 17.

Hence, the lowest common denominator for the fractions is 17.

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Answer:

0.7853981634

Step-by-step explanation:

it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"

Answer:

(no solutions)

Step-by-step explanation:

Solve for n:

(0 + i)^(2 n + 1) = 0

Since i^z is never zero for any z element C, no solution exists for i^(2 n + 1) = 0:

Answer: (no solutions)

Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

Answer:

c

Step-by-step explanation:

Answer:

UTR and UTW, hope this helped!

Step-by-step explanation:

Idk what to explain here...

Answer:

XWY and VWT

Step-by-step explanation:

Vertical angles are formed from the same lines but are opposite each other

XWY and VWT  are formed by the same lines but are opposite each other

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is [tex]x[/tex]

According to the question, Age of oldest child is [tex]=x+4[/tex]

Eldest child age [tex]=x-2[/tex]

Sum of the ages of children is [tex]26[/tex]

[tex]x+4+x+x-2=26[/tex]

[tex]3x+2=26[/tex]

[tex]3x=24[/tex]

[tex]x=8[/tex]

Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]

Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

Answer:

7x² + 2x + 1

Step-by-step explanation:

(x² - 5x - 2) - (-6x² - 7x - 3)

Now, combine your like-terms together...

(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))

7x² + 2x + 1

Answer:

Volume of that pyramid:

V = Base area x Height

  = (9 x 13) x 30

  = 3510 ft3

Hope this helps!

:)

Answer:

Yes they're right, the correct answer is option 3.

Answer:

A

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!

Answer:

x= 3

Step-by-step explanation:

1/3 = 33.3%. 3/8 = 37.5%. 65%

Hope this helps.

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Answer:

The answer is .007874989

Step-by-step explanation: