Answer:
= £135
Step-by-step explanation:
Original price = 100%
Percentage increase = 20%
New price = 100% + 20% = 120%
If 120% = £162
What about 100% = ?
= (100 x 162) ÷ 120
= 16200 ÷ 120
= £135
Answer:
sh.129.60
Step-by-step explanation:
20%...€162
€162 times 80 over 100
€81 times 8....over 5
€648 divide 5
......ans...... €129.60
A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q
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]
. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?
Answer:
The answer is .007874989
Step-by-step explanation:
The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals negative 0.11 x squared plus 2.2 x plus 1f(x)=−0.11x2+2.2x+1, where f(x) is the height, in feet, above the ground and x is the horizontal distance, in feet, of the ball from the point at which it was kicked. What is the height of the ball when it is kicked? What is the highest point of the ball in the air?
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.
What is the area of the base
What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?
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.
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
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.
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
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.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
solution of 4y - 2x < 8
a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)
Answer:
A
Step-by-step explanation:
Find the lowest common denominator for the fractions shown.
8/51
19/85
a. 255
b. 17
c. 4,335
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.
What are Fractions?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.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.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
Eloise is designing a triangular flag. Is it possible to design more than one flag with side lengths of 27 inches and 40 inches and an included angle of50°? Explain. *
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.
The expression (x2 - 5x - 2) - (-6x2 - 7x - 3) is
equivalent to
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
Help im failing miserably
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
Unit 5. 10) Please help. A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid?
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.
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
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
329,444,000,777,234 in words
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
Which expression is equivalent to mn+z
if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one
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"
A store buys shirts from a distributor for $10 each and marks them up 50%. After selling them for 3 weeks, they put them on sale for 50% off. Is the discounted price $10?
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.
What is percentage?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.
To learn more on Percentage:
https://brainly.com/question/24120406
#SPJ5
what is the answer to factorise 10x - 15
Answer:
5(2x-3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
10x-15 = 5(2x-3) ...the factor is : 5
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
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:
Solve for the missing side
Answer:
c
Step-by-step explanation:
Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.
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
what is the answer to i^{2n+1}
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)
PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=
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.
Can you pleasee help me with the Screenshot Below its Overdue.
Answer:
what grade is this its and your answer is
Step-by-step explanation:
13/5 63/1 A = X
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
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.
The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.
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.
help plsssssssssssssssssssssss again
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
Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?
Select all that apply.
Answer:
hexagonrectanglesquaretrianglepentagonStep-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.
What polygons are possible?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.
