Let the original price = x
An increase of 10 % = 18.15
Multiply x by (1 + percent increase) which is 1.1x = 18.15
Now to find x divide both sides by 1.1:
X = 16.50
The original price was 16.50
Answer:
£16.50
Step-by-step explanation:
Let cost price be x
Now, create a formula:
x + 10x / 100 = 18.15
'or'
110x / 100 = 18.15
'or'
x = (18.15*100) / 110
x = 16.5
1 + 2 + 3 + ... + 98 + 99 + 100
Answer:
101 + 102 + 103 + ... + 998 + 999 + 1000
Step-by-step explanation:
=====================================================
Explanation:
This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.
The quickest way to find the sum is to use the formula below
S = (n/2)*(a+b)
where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.
We can see that n = 100, a = 1 and b = 100, so....
S = (n/2)*(a+b)
S = (100/2)*(1+100)
S = 50*101
S = 5050
-----------
This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.
We have these fifty sums
1+100 = 101
2+99 = 101
3+98 = 101
....
48+53 = 101
49+52 = 101
50+51 = 101
We have 50 copies of 101 being added, which leads to 50*101 = 5050
--------------
The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.
What are the coordinates of the point 1/6 of the way from a to b?
Answer:
B. (2, 6)
Step-by-step explanation:
Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2
Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))
= 8+(-2) = 6
the coordinate => (2, 6)
Answer pls………………………..
Answer: Choice C. [tex]3\sqrt{17}[/tex]
================================================
Work Shown:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]
I used the distance formula for those steps above.
The two points were (x1,y1) = (12,-21) and (x2,y2) = (15,-9) but you could swap the order.
As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.
Will mark brainly thanks
Answer:
The 8th term of the sequence is 255
Step-by-step explanation:
To find the 8th term of the sequence, we have to use the given sequence formula
All we have to do here is to make a substitution
We simply have to substitute the value 8 for n as follows;
a8 = 2^8 - 1
a8 =256-1
a8 = 255
If Amanda deposits 25% of her $180 paycheck into a savings account, what is the amount of her deposit?
Answer:
$45
Step-by-step explanation:
[tex]180 \times 25\%[/tex]
[tex]180 \times \frac{25}{100} [/tex]
[tex] \frac{18 \times 25}{10} [/tex]
[tex] \frac{450}{10} [/tex]
[tex]45[/tex]
please help!
For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.
Equilateral triangles are ___
acute triangles.
Scalene triangles are ___
acute triangles.
Right triangles are ___
acute triangles.
Obtuse triangles are ___
isosceles triangles.
Answer:
Equilateral triangles are sometimes
acute triangles.
Scalene triangles are never
acute triangles.
Right triangles are never
acute triangles.
Obtuse triangles are always
isosceles triangles.
The isosceles triangle and the rectangle have equal perimeters. The triangle has x+5 on the left side. On its base it has x. The rectangle has x-1 on the left side. On the bottom, it has x+4.
Answer:
The value of x is 4.
Step-by-step explanation:
The perimeter of the triangle is the sum of the lengths of all its sides.
The perimeter of the rectangle is twice the sum of the length and the width.
base of triangle = x
two equal sides = x + 5
length of rectangle = x - 1
width of rectangle = x + 4
According to the question,
Perimeter of triangle = perimeter of rectangle
x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)
3 x + 10 = 2 (2 x + 3 )
3 x + 10 = 4 x + 6
4 x - 3 x = 10 - 6
x = 4
what is the perimeter of a rectangle with a base of 5 and a height of 8
Answer:
26
Step-by-step explanation:
Perimeter= width+height+width+height
= 5 + 8 + 5 + 8
= 26 cm
Hope this helps!
What is the factorization of 49b2 − 81?
Step-by-step explanation:
The factorisation of 49b^2 - 81 is (7b - 9)(7b + 9). This is because 49 and 81 are the squares of 7 and 9 respectively, so these must be multiplied together. b^2 is b x b. Finally, it must be -9 and +9 to make -81, because when the signs are the same the result is a positive number
Answer:
(7b - 9)(7b + 9)
Step-by-step explanation:
49b2 - 81
49 - 7 x 7
b2 - b x b
81 - 9 x 9
(a + b) (a - b) = a2 - b2
(7b - 9)(7b + 9)
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Calcula el ancho de un terreno rectangular si el largo mide 20 metros y la superficie es de 280 metros cuadrados
Answer:14 m
Step-by-step explanation:
Dada
larga [tex]l=20\ m[/tex]
superficie [tex]A=280\ m^2[/tex]
Suponga que el ancho es w
La superficie está dada por el producto de la longitud y la anchura.
[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]
Por lo tanto, el ancho es de 14 m.
Which is longer - the radius or the circumference of a circle?
Answer:
Circumference of a circle
Step-by-step explanation:
The circumference of a circle is longer than its radius of the circle.
Can I pls get help on this ASAP!!
Step-by-step explanation: 6dsdsnds
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
G(x) = 8x - 9 for g(x) = 23
14.
Solve x2 + 2 = 6 by graphing the related function.
A. There are no real number solutions.
B. There are two solutions: ±[tex]\sqrt{8}[/tex].
C. There are two solutions: 2 and –2.
D. There is one solution: 2
Answer:
C. There are two solutions: 2 and –2.
Step-by-step explanation:
Answer:
Step-by-step explanation:
we have
we know that
The solution of the function is equivalent to solve the following system of equations
------> equation A
------> equation B
The x-coordinate of the intersection point both graphs is the solution of the given function
Using a graphing tool
see the attached figure
The intersection points are and
therefore
The solution of the given function are
Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.
Answer: option C.
Step-by-step explanation:
Given a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.
The options A is not opened upwards, then it is not the answer.
Then the given equation can be written as:
This function is equal to the parent function, shifted 4 units down.
Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).
Then, the correct option is C. And the solution is:
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.
Q(1,5), R(3,8), S(5,5), T(3,2)
Help ASAP
- - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
x = ±3 sqrt(2)
Step-by-step explanation:
x^2 = 18
Take the square root of each side
sqrt(x^2) = sqrt(18)
x = ± sqrt(18)
x =±sqrt(9*2)
x = ±sqrt(9) sqrt(2)
x = ±3 sqrt(2)
find the missing
missing length y
the Shape
below
Answer:
12
Step-by-step explanation:
13^2=5^2+y^2
y^2=5^2-13^3
y^2=25-169
y^2=144
y=square root of 144
y=12
Answer:
12)
Step-by-step explanation:
For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:
a^2 + b^2 = c^2
Hope this helps!
-kiniwih426
12. You are driving on a major highway. If you drive in the left lane traffic is moving at 60mph, if you drive in the right lane, traffic is moving at 40mph. You can drive a maximum of 10 hours and need to go a minimum of 500 miles. Use the above information to answer part a and b below: 12a. Create a system of inequalities to model the potential travel time in 3 points each lane.
12b. If you want to spend an amount of time in each lane, would this allow you to reach your goal of driving 50 miles? just to fight your conclusion
you are driving onajor highway 94 mp
What is the value of x ?
Answer:
x = 20
Step-by-step explanation:
90 = 60 + (x + 10)
90 - 60 = x + 10
30 = x + 10
30 - 10 = x
20 = x
Answer:
x = 20
Step-by-step explanation:
From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...
60° + (x + 10)° = 90°
Now we just solve the equation and get the following...
60° + (x + 10)° = 90°
x° + 10° = 30°
x° = 20°
x = 20
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
Use the drop-down menus to complete the statements to match the information shown by the graph.
2 points
4] The spinner below is cut unevenly. The probability of spinning a 1 or 4
are equal. The probability of spinning a 3 is 1/2 of spinning a 2. What is the
probability of spinning an odd number if the probability of spinning a 2 is
16%? Type in a numerical value in percent form with the % symbol (no
spaces). For example: 1%*
Answer:
Probability of spinning an odd number is 84%
Step-by-step explanation:
The probability of spinning a 1 or 4 is equal. Let this probability be X
Probability of spinning a 2 is 1/16
Probability of spinning a 3 is 1/2 of the probability of spinning a 2 i.e 8%
Sum of spinning 1,2,3 and 4 is equal to 100%
X + 16% + X + 8% = 100
2X = 100 - 16-8
X = 76%
Probability of spinning an odd number i.e one and 3 is
76% + 8% = 84%
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
Find measure of angles B, E, D and C and the length of BC
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
please help! i will rank brainliest :)
Answer:
Y,O,Q
Step-by-step explanation:
