Answer:
Market price of set = 25.14
Step-by-step explanation:
Given:
Discount percentage = 20%
Service charge = 10%
GST = 7%
Amount pays = 23.54
FInd:
Market price of set
Computation:
Assume;
Market price of set = a
Market price of set after discount = a(1-20%)
Market price of set after discount = 0.80a
Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays
0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54
0.80a + 0.08a + 0.056a = 23.54
0.936a = 23.54
a = 25.14
Market price of set = 25.14
Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101 ,then an will be
0
-3.5
3.5
1
Answer:
3.5
Step-by-step explanation:
Tn=a(n-1)d
Tn=3.5+(101-1)0
Tn=3.5+0
Tn=3.5
Which of the Following best describes a cylinder?
Answer:
D
Step-by-step explanation:
all the options seems similar..but i can find the D more suitable
Solve for x. Round to the nearest tenth, if necessary.
Answer:
X would be 63.9
Hope it helps
Step-by-step explanation:
The value of the variable 'x' using the cosine formula will be 63.9 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 35° = x / 78
x = 63.9
The value of the variable 'x' using the cosine formula will be 63.9 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ7
Use the elimination method to solve the system of equations.
A. (1.5,-8)
B. (-6,-13)
C. (0,0)
D. (4.5,-6)
Answer:
(4.5,-6)
Step-by-step explanation:
[tex]2x-3y = 27\\4x+3y = 0[/tex]
6x = 27
x = 27/6=4.5
9-3y = 27
-3y = 18
y = -6
Joe wants to add cucumbers to his garden and knows the rectangular area is represented by x^2 - 4x - 21 square units. What expressions would represent the length and width of the cucumber field?
Given:
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
To find:
The length and width of the cucumber field.
Solution:
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where l is length and w is width of the rectangle.
The area of rectangular garden is [tex]x^2-4x-21[/tex] square units.
We need to find the factors of [tex]x^2-4x-21[/tex] to get the length and width.
[tex]A=x^2-4x-21[/tex]
Splitting the middle term, we get
[tex]A=x^2-7x+3x-21[/tex]
[tex]A=x(x-7)+3(x-7)[/tex]
[tex]A=(x-7)(x+3)[/tex]
Area of a rectangle is the product of length and width.
Therefore, the length and width of the rectangle are [tex](x-7)[/tex] units and [tex](x+3)[/tex] units.
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
Someone tell me where everyone is going right please !!
9514 1404 393
Explanation:
The problem statement tells you the meaning of t. It is minutes after Riko leaves. 0 ≤ t < 52.5 is the answer to the question regarding the interval Riko is behind Yuto. It means Riko is behind Yuto for 52.5 minutes after she leaves their house.
t will not be negative because time moves forward. Here, we're only counting time after Riko leaves the house. A negative value for t would refer to a time before Riko leaves the house, which is irrelevant in this problem.*
_____
* One might argue that Riko is behind Yuto for all values of time after Yuto leaves the house, which would be for -21 < t < 52.5. The concept of "behind Yuto" has no meaning except in that interval.
Answer:
again again again hello or merhaba(hello)
speed = path / time
so we can say this;
speed × time = path
note;
two speeds in different directions add up
and
two speeds in the same direction subtract
our speeds are in the same direction so we subtract
0.35 - 0.25 = 0.10 speed
and our path is 5.25 miles because there are 5.25 miles between Yuto and Rico
when will they be in the same place now?
Let's solve with the formul;speed × time = path
0.10 × time = 5.25 miles
in this equation we find the time 52.5 minutes
After 52.5 minutes they will be in the same place but before 52.5 minutes Riko will be behind Yuto
When Riko was behind Yuto;0≤ t ≤ 52,5 ( this is our equation of time)
now the second question?Why can't t be less than 0?because time cannot take a negative value, as soon as they start moving, time passes and this cannot take a negative value
GOOD LUCK :D
Step-by-step explanation:
greetings from Turkey (≧▽≦)
At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 wheels. How many of each are used
Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55
What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet
Answer:
11 feet
Step-by-step explanation:
Given,
Area of square ( a^2 ) = 121 ft
To find : Length of each side ( a ) = ?
Formula : -
Area of square = a^2
a^2 = 121
a = √121
a = 11 feet
Answer:
11 ft = side length
Step-by-step explanation:
The area of a square is found by
A = s^2
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11 = s
Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is
Answer:
x = 8
Step-by-step explanation:
Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.
m<MNO = (5x + 2)° => exterior angle of ∆LMN
m<NLM = (x + 10)° => interior angle of ∆LMN
m<LMN = (x + 16)° => interior angle of ∆LMN
Therefore:
m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)
Substitute
5x + 2 = x + 10 + x + 16
Add like terms
5x + 2 = 2x + 26
Collect like terms
5x - 2x = -2 + 26
3x = 24
Divide not sides by 3
x = 24/3
x = 8
[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.
[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
Suppose f (x) = x². Find the graph of
f(x - 2).
Click on the correct answer
2
3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
Answer: Graph 2
Explanation:
The graph of f(x) = x^2 is a parabola with the vertex at the origin. If we replace every x with x-2, then we shift the xy axis 2 units to the left, giving the illusion the parabola shifts 2 units to the right.
In short, going from y = x^2 to y = (x-2)^2 means we shift the curve 2 units to the right. This is shown in the second graph.
What is the value of x?
Enter your answer in the box.
Answer:
solution
Step-by-step explanation:
ADC = Sum of triangle
AD+ AC = 2.25+3 =5.25
Step 2:
BCD = Sum of acute angled triangle = a+b+
c
BCD= 2.25+4+3
BCD = 9.25
The value of x =ADC+BCD
= 5.25+ 9.25
= 14.5
Please help me!!
I just don’t understand it!!
Answer:
(12, 2 )
Step-by-step explanation:
Given (x, y ) on the graph of f(x) , then on the inverse function
(x, y ) → (y, x ), then
(2, 12 ) → (12, 2 ) ← point on g(x) the inverse function
Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]
Answer:
y=9x^2 + 8
Step-by-step explanation:
using the power rule, we will differentiate each term separately
d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2
d/dx of 8x = 8x^(1-1) = 8
d/dx of -7 = 0
combining them we get the derivative which is y = 9x^2 + 8
Answer:
9x² + 8
Step-by-step explanation:
The given function to us is ,
[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]
And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have
[tex]\implies y = 3x^3 + 8x - 7 [/tex]
Recall that , the derivative of constant is 0 . Therefore ,
[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]
Hence the derivative of given function is 9x² + 8 .
What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
use r =27 & x =3
[tex]-\frac{r}{9}+ 5x[/tex]
Answer:
12
Step-by-step explanation:
First substitute the equation with the variable replacements given:
-r/9 + 5x <--- Before
-27/9 + 5(3) <--- After
Next Solve the parts of the Equation
-27/9 + 5(3)
-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.
= 12 <--- 15 - 3 = 12.
I hope this helps!
Answer:
12
Step-by-step explanation:
[tex]-\frac{27}{9}+5(3)[/tex]
- 3 + 15
15 - 3
12
Examine the equation.
-2(-x + 9) = 2(x - 9)
2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution
help me with this please
8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?
the answer is in the picture
The ages of Sohail, Afzal and Bilal are 17, 16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?
Sohail=17
afzal=16
Bilal=12
Aslam=16+5=21
c) Which of these numbers is a square number?
A
4 x 105
B
9 x 104
С
4 x 103
D
9 x 103
Kristy bought a new tv the total cost of the tv was £360 including vat at 20% work out the cost of the tv before the vat was added
Answer:
£288
Step-by-step explanation:
Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).
Since the taxes are 20% of the TV's value, we can calculate 20% of 360.
20% of 360 = 72
360 - 72 = 288
Therefore, the cost of the TV before taxes was £288.
A and B are two similar solids...
Answer:
cant download send ss
Step-by-step explanation:
Which is the pair of congruent right angles?
A).CAB=DAE
B).CBA=DEA
C).BCA=EDA
D).ACB=ADE
Answer:
It's C
Step-by-step explanation:
Annapolis Company purchased a $4,000, 6%, 5-year bond at 101 and held it to maturity. The straight line method of amortization is used for both premiums & discounts. What is the net cash received over the life of the bond investment? (all money received minus all money paid, round to nearest whole dollar)
Answer:
The answer is "[tex]\bold{\$1160}[/tex]"
Step-by-step explanation:
Calculating total paid money:
[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]
[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]
[tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]
Total earnings over the life of the corporate bond
[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]
Janna is using a cone-shaped cup to fill a cylindrical container. The cup has the same height and radius as the container. How many rimes will she have to fill the cone-shaped cup to completely fill the cylindrical container.
Answer:
3 times
Step-by-step explanation:
Step 1: Express the volume of the cup in terms of "r" (radius) and "h" (height)
The formula for the volume of a cone is:
Vcone = 1/3 × h × π × r²
Step 2: Express the volume of the container in terms of "r" and "h"
The formula for the volume of a cylinder is:
Vcylinder = h × π × r²
Step 3: Calculate how many times the volume of the cone is contained in the volume of the cylinder
Vcylinder/Vcone = (h × π × r²) / (1/3 × h × π × r²) = 3
[tex]\text{Solve the system of equations:}\\\\\left \{ {{y=3x+5} \atop {y=-4x+7}} \right.\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
(0.286, 5.587)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587). See the graph attached.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE ANSWER ASAPPP
Answer:
the answer is 2035.75 cm³
Step-by-step explanation:
comment if you want explanation
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
The question is mixed up with another (See comment for correct question)
Given
[tex]Length = 799in[/tex]
[tex]Width = 245in[/tex]
Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (799 + 245)[/tex]
[tex]P = 2 * 1044[/tex]
[tex]P = 2088[/tex]