If a system has no solution, how does it look on the graph? What about infinite solutions?
Answers
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.
Related Questions
(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.
Answers
Answer:
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Step-by-step explanation:
distance between points is diameter
x^2= (8--4)^2+(-7-9)^2
x^2=12^2+16^2
x^2=144+256
x^2=400
diameter x=20 so radius =10
center point =midpoint (-4+8)/2 and (-7+9)/2
center point =(2,1)
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
does anybody know the answer to this question?
Answers
Answer: 56 yd
Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd
A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate.
Answers
Answer:
2/7
Step-by-step explanation:
Total no. of chocolates in the box =14
No. of dark Chocolates=4
No. of white chocolates=5
No. of milk chocolates=5
Probability of getting a white chocolate
= No. of possible outcomes /Total No. of outcomes
=5/14
Probability of getting a dark chocolate =4/14=2/7
1. Find the equation of a line passing through the points (1,-2) and (-3,10).
Answers
Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.
[tex]\boxed{Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}[/tex][tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3[/tex]
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
Question 7 of 10
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
RAINFALL
MONTH
March
April
May
5.7
3.2
7.3
Help me god
Answers
Answer:
9
Step-by-step explanation:
10
Hello ! Here's a calculus question!
Find that value of
[tex]\\ \rm\Rrightarrow {\displaystyle{\int\limits_{\pi}^{2\pi}}}\dfrac{sin^6x+cos^6x}{sin^3xcos^3x}[/tex]
Note:-
Answer must include all steps properly .
Kindly don't waste time here if you don't know the answer .
All the best !
Answers
Answer:
Undefined.
Formula's used:
[tex]\longrightarrow \bold{sec(x) = \dfrac{1}{cos(x)} }[/tex]
[tex]\longrightarrow \bold{cosec(x) = \dfrac{1}{sin(x)} }[/tex]
[tex]\longrightarrow \bold{cot(x) = \dfrac{1}{tan(x)} }[/tex]
[tex]\longrightarrow \bold{tan(x) = \dfrac{sinx}{cos(x)} }[/tex]
[tex]\longrightarrow \bold{sin^2x + cos^2 x = 1 }[/tex]
[tex]\longrightarrow \sf \bold{Sum \ Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx}[/tex]
[tex]\longrightarrow \bold{ \int \:{sec^2(ax+b) = \dfrac{1}{a}tan(ax+b)+c }}[/tex]
[tex]\longrightarrow \bold{\int \:\dfrac{1}{ax+b} =\dfrac{1}{a} ln|ax+b|+c}[/tex]
Explanation:
[tex]\sf \Longrightarrow \int _{\pi }^{2\pi }\:\dfrac{sin^6(x)+cos^6(x)}{sin^3(x) \ * \ cos^3\left(x)}[/tex]
[tex]\sf \Longrightarrow \sf \int _{\pi }^{2\pi }\:\dfrac{sin^6\left(x\right)}{sin^3\left(x\right)\cdot \:cos^3\left(x\right)} +\dfrac{cos^6\left(x\right)}{sin^3\left(x\right)\cdot \:cos^3\left(x\right)}[/tex]
[tex]\Longrightarrow \sf \int _{\pi }^{2\pi }\:\dfrac{sin^3\left(x\right)}{\:cos^3\left(x\right)} +\dfrac{cos^3\left(x\right)}{sin^3\left(x\right)}[/tex]
[tex]\Longrightarrow \sf \int _{\pi }^{2\pi }\ tan^3(x)+ cot^3(x)[/tex]
[tex]\sf \Longrightarrow \sf \int _{\pi }^{2\pi } \tan ^3(x)dx+\int _{\pi }^{2\pi } \cot ^3 (x)dx[/tex]
[tex]\Longrightarrow \sf \bold{ [ }-\ln |\sec \left(x\right) |+\dfrac{\sec ^2(x)}{2}-\dfrac{\cot ^2 (x)}{2}-\ln |\sin(x)| \bold{ ] }^{2\pi }_\pi[/tex]
apply limits
[tex]\sf \Longrightarrow \sf -\ln \left|\sec \left(2\pi \right)\right|+\dfrac{\sec ^2\left(2\pi\right)}{2}-\dfrac{\cot ^2\left(2\pi\right)}{2}-\ln \left|\sin \left(2\pi\right)\right|-(-\ln \left|\sec \left(\pi \right)\right|+\dfrac{\sec ^2\left(\pi\right)}{2}-\dfrac{\cot ^2\left(\pi\right)}{2}-\ln \left|\sin \left(\pi\right)\right|)[/tex]
simplify using trigonometric basic functions
[tex]\Longrightarrow \sf -\ln \left|\dfrac{1}{\cos \left(2\pi \right)}\right|+\dfrac{\left(\dfrac{1}{\cos \left(2\pi \right)}\right)^2}{2}-\dfrac{\cot ^2\left(2\pi \right)}{2}-\ln \left|\sin \left(2\pi \right)\right|- ( -\ln \left|\dfrac{1}{\cos \left(\pi \right)}\right|+\dfrac{\left(\frac{1}{\cos \left(\pi \right)}\right)^2}{2}-\dfrac{\cot ^2\left(\pi \right)}{2}-\ln \left|\sin \left(\pi \right)\right|)[/tex]
The value of cot(2π) is not defined. [ cot(2π) = ∞ ]⇒ Undefined
Answer:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \boxed{\text{un} \text{de} \text{f}}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Methods: U-Substitution + U-Solve
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite:[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \frac{\sin^6 x}{\sin^3 x \cos^3 x} + \frac{\cos^6 x}{\sin^3 x \cos^3 x}[/tex][Integrand] Simplify:
[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \tan^3 x + \cot^3 x[/tex][Integrand] Rewrite:
[tex]\displaystyle \frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x} = \tan x (\sec^2 x - 1) + \cot x (\csc^2 x - 1)[/tex]
Step 3: Integrate Pt. 2
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{2 \pi}_{\pi} {\tan x (\sec^2 x - 1) + \cot x (\csc^2 x - 1)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{2 \pi}_{\pi} {\tan x (\sec^2 x - 1)} \, dx + \int\limits^{2 \pi}_{\pi} {\cot x (\csc^2 x - 1)} \, dx[/tex]
Step 4: Integrate Pt. 3
Identify variables for u-solve.
1st Integral
Set u:[tex]\displaystyle u = \sec x[/tex][u] Apply Trigonometric Differentiation:
[tex]\displaystyle du = \sec x \tan x \, dx[/tex][du] Rewrite:
[tex]\displaystyle dx = \frac{1}{\sec x \tan x} \, du[/tex]
2nd Integral
Set v:[tex]\displaystyle v = \csc x[/tex][v] Apply Trigonometric Differentiation:
[tex]\displaystyle dv = - \cot x \csc x \, dx[/tex][dv] Rewrite:
[tex]\displaystyle dx = \frac{-1}{\cot x \csc x} \, dv[/tex]
Step 5: Integrate Pt. 4
[Integrals] Apply Integration Method [U-Solve]:[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{x = 2 \pi}_{x = \pi} {\frac{\tan x (\sec^2 x - 1)}{\sec x \tan x}} \, du + \int\limits^{x = 2 \pi}_{x = \pi} {\frac{- \cot x (\csc^2 x - 1)}{\cot x \csc x}} \, dv[/tex][Integrals] Simplify:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \int\limits^{x = 2 \pi}_{x = \pi} {\frac{u^2 - 1}{u}} \, du - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{v^2 - 1}{v}} \, dv[/tex][Integrals] Apply Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{u^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{1}{u}} \, du - \Bigg( \frac{v^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \int\limits^{x = 2 \pi}_{x = \pi} {\frac{1}{v}} \, dv \Bigg)[/tex][Integrals] Apply Logarithmic Integration:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{u^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \ln | u | \bigg| \limits^{x = 2 \pi}_{x = \pi} - \Bigg( \frac{v^2}{2} \bigg| \limits^{x = 2 \pi}_{x = \pi} - \ln | v | \bigg| \limits^{x = 2 \pi}_{x = \pi} \Bigg)[/tex]Back-Substitute variables u and v:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \frac{\sec^2 x}{2} \bigg| \limits^{2 \pi}_{\pi} - \ln | \sec x | \bigg| \limits^{2 \pi}_{\pi} - \Bigg( \frac{\csc^2 x}{2} \bigg| \limits^{2 \pi}_{\pi} - \ln | \csc x | \bigg| \limits^{2 \pi}_{\pi} \Bigg)[/tex]Simplify:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \bigg( \ln | \csc x | - \ln | \sec x | + \frac{\sec^2 x - \csc^2 x}{2} \bigg) \bigg| \limits^{2 \pi}_{\pi}[/tex]Apply Integration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^{2 \pi}_{\pi} {\frac{\sin^6 x + \cos^6 x}{\sin^3 x \cos^3 x}} \, dx = \boxed{\text{un} \text{de} \text{f}}[/tex]
∴ we have found the value of the given integral.
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Learn more about integration: https://brainly.com/question/14413972
Learn more about calculus: https://brainly.com/question/20197752
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x)
Answers
g(x) =f(x+2)
And
g(x)=x^2-2x-8
I need help please, Its for today
Answers
Answer:
a) 1,2; 3.4
b) <1=<6, <6+<6+72=180, 2<6=108, <6=54.
<1=54
You can tell this by "these are parallel lines"
Find the value of f(5) for the function.
F(x)=6+3x
Answers
Answer:
21
Explanation:
To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).
f(5)=15+6
f(5)=21
help!
this is urgent
i need it rn
ty in advance
Answers
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answers
Answer:
The smaller number is 24
The larger number is 45
Step-by-step explanation:
smaller number = x
Larger: 2x - 3
Smaller + larger = 69
x + 2x - 3 = 69 Combine left
3x - 3 = 69 add 3 to both sides
3x - 3+3 = 69+ 3 Combine
3x = 72 Divide by 3
3x/3 = 72/3
x = 24
Larger number = 2*24 - 3
Larger number = 45
x/-6-8> -12
PLEASE HELP AND SOLVE
Answers
Answer:
24
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=24
Calculate the perimeter of of the shape below. Show you work
Answers
Answer:
22 is the perimeter.
Step-by-step explanation:
You find the perimeter by adding up all of the sides of a shape. 9 + 9 = 18. 18 + 4 = 22.
-3y (y⁴ + 2y³ - 5y²- y + 4)
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's expand the given expression ~
[tex]\qquad \sf \dashrightarrow \: - 3y( {y}^{4} + 2 {y}^{3} - 5 {y}^{2} - y + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: ( - 3y \cdot {y}^{4} ) + ( - 3y \cdot2 {y}^{3} ) + ( - 3y \cdot - 5 {y}^{2} ) + ( - 3y \cdot - y) + ( - 3y \cdot4)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 3{y}^{5} - 6{y}^{4} + 1 5 {y}^{3} + 3{y}^{2} - 12y[/tex]
Solve for x.
С
D
*
112°
yº
(2x)
>>
A
B
Answers
B. Study the figure on the right.
1. Name the points on it
2 Name any three segments from the figure,
3. Which segments have B as one endpoint?
4. Which points are endpoints of only two segments?
5. Which points are endpoints of three segments?
6. Which point is the endpoint of six segments?
7. Name the lines with A as one of the points on them.
8. Name any three rays from the figure, 9. How many segments are there in the figure?
10. How many rays can be named from the figure?
Answers
Answer:
can you clear more I don't understand
Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?
Answers
Answer:
54861/1000 convert to a decimal = 54.861
What is the answer to this?
Answers
Answer:
0.216 cubic feet
Step-by-step explanation:
v = lwh (volume = length times width times height)
v = 0.6 x 0.6 x 0.6 OR 0.6^3
v = 0.216
Please help fast i I’ll give brainliest
Answers
Answer:
The answer is B. 1/4^8
Step-by-step explanation:
Every time the power it to the negative it inverse it.
An example, 2^-2 = 1 / 2^2
So, 4^-8 = 1 / 4^8
Given conversion factor what is the above line segment's unit
1 ft
measure in inches? Round your answer to the nearest tenth.
Answer here
Please help
Answers
24
Step-by-step explanation:[tex]Convert\ the\ unit\ for\ \frac{12in}{1ft}:\\ \downarrow\\ 24[/tex]
I hope this helps you
:)
PLEASE HELP
Select the statements that are true.
O Correlation coefficients must be between 0 and 1.
Correlation coefficients must be between - 1 and 1
A correlation coefficient of r = 0.92 indicates a strong, positive correlation.
A correlation coefficient of r = 0.01 means there is no significant correlation.
A correlation coefficient of r = 0.17 indicates a strong, negative correlation.
Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.
Answers
Correlation measures the relationship between variables
The true statements are:
Correlation coefficients must be between - 1 and 1A correlation coefficient of r = 0.92 indicates a strong, positive correlation.Correlation coefficient is a numeric measure of the strength and the direction between two quantative variables.How to determine the true statements?For a correlation coefficient to be valid, the following, must be true:
The value of the correlation coefficient must be between -1 and 1Correlation greater than 0 are positive correlationCorrelation closer to 1 and -1 are strong correlationUsing the above highlights, the true statements are: (b) (c) and (e)
Read more about correlation coefficients at:
https://brainly.com/question/18054482
The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents the profit, p, based on s sales, what does the intersection best represent?
a. When the sales are 400, the profit is 12.
b. When the sales are 12, the profit is 400.
c. The profit is always 400.
d. The sales are always 12.
Answers
Drew has a coin: one side shows heads and the other side shows tails. he also has a six-sided number cube with a number, 1 through 6, on each side. he flips the coin, rolls the number cube, and records his results. what is the probability, written as a fraction, that the coin shows tails and he rolls a 5?
Answers
Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?
Answers
========================================================
Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
------------
Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
4. Find the arc length.
Answers
Find the circumference:
8km x 2 x 3.14 = 50.24 km
Arc length = 50.24 x 225/360 = 31.4 km
answer: C. 10 pi or 31.4 km
Help me
Question
Find mHK⌢.
Answers
Answer:
62
Step-by-step explanation:
(x+8)=(2x-15)
8=x-15
+15 +15
23=x
so
23 +8 = 31
23x2-15 = 46-15 =31
Both are the same always since one side is equal to the other
Therefore
62 is the answer!
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Answers
If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.
Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.
Carly:-
L=15.3B=8.7Area:-
LB15.3(8.7)133.11ft^2#Carter
L=14.4B=9.6Area:-
14.4(9.6)138.24ft^2Carter's room is expensive
Use the picture I provided to help me answer the math problem.
Answers
Part A
25%/100%1/4Part B
1 → 20 pieces 4 → (20*4) pieces 4 → 80 pieces of yellow paperAnswer:
See below ↓↓
Step-by-step explanation:
Part A
We have to write 25% as a rate per 100⇒ We know percentages are given to be the fraction of a number out of 100⇒ Therefore, 25% as rate per 100 = 25/100⇒ 1/4 [simplified]Part B
Let's take the total number of pieces of colored paper to be TThen 25% of T is 20Therefore our equation will be :⇒ T x 25/100 = 20Bring 100 to the other side⇒ 25T = 200025 is a factor of both 25 and 2000, so it cancels out, and we are left with :⇒ T = 80There are 80 pieces of paperCan anyone please solve this? I need it to be right.
Answers
Answer:
65
Step-by-step explanation:
[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]
Sandro plans to travel to work by train on 20 days next month. He can buy a monthly ticket costing £262 or 20 separate tickets costing £15.70 each ticket. What percentage of the total cost of 20 separate tickets does Sandro save by buying a monthly ticket? Give your answer correct to 1 decimal place.
Answers
20 separate tickets in total costs £314.
Now we should find out what percentage 262 is of 314.
262÷314×100=83.4%
if 262 is 83.4% of 314, then Sandro saves (100%-83.4%) 16.6%.
ANSWER 16.6%
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