Given:
The graph of cost of taxi with respect to number of miles.
To find:
The formula for C in terms of n.
Solution:
In the given graph x axis represents the number of miles (n) and y-axis represents the cost of taxi (C).
From the given graph it is clear that, the line passes through the points (0,3) and (5,6). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{6-3}{5-0}(x-0)[/tex]
[tex]y-3=\dfrac{3}{5}(x)[/tex]
Adding 3 on both sides, we get
[tex]y=\dfrac{3}{5}x+3[/tex]
Putting y=C and x=n, we get
[tex]C=\dfrac{3}{5}n+3[/tex]
Therefore, the required formula is [tex]C=\dfrac{3}{5}n+3[/tex].
Answer:
c=3/5n+3
Step-by-step explanation:
For every 2 girls in Mr Hegarty's class there are 3 boys. What is the ratio of girls to boys in the class?
Give your answer in its simplest form.
Answer:
2Girls:3Boys
Step-by-step explanation:
gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg
The graph of a linear system is shown.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
( , )
Answer:
(1, 2)
Step-by-step explanation:
From the graph attached,
Two lines are representing linear system of equation.
Since, solution of any system of linear equations is a common point of the two lines.
In other words, point of intersection of these lines represent the solution of linear system of equations.
Solution of the linear system of equations → (1, 2)
Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations ofthe system is 3y = 2% - 9. Which
could be the other equation?
Answer:
Please check the explanation.
Step-by-step explanation:
If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.
It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.
Given the line
3y = 2x-9
As the system of equations has an infinite number of solutions, it means the lines must be identical.
So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.
so
6y = 4x-18 will be another line.
Thus, the system of equations become:
3y = 2x-9
6y = 4x-18
The graph is attached below.
The graph indicates that both lines are overlapping with each other. Hence, the lines will be identical and the system of the equations will have an infinite number of solutions.
if x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?
Answer:
y = 6/(x - 8).
Step-by-step explanation:
z = k/y where k is a constant
2 = k/3
k = 6.
So z = 6/y
and x = 6/y + 8
Multiply through by y:
xy = 6 + 8y
xy - 8y = 6
y(x - 8) = 6
y = 6/(x - 8)
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
2.
Select the correct answer.
Which transformation of the parent square root function will result in the given domain and range?
domain: [2,00)
range: (3, 0)
A.
B.
; (b) = (x + 2) + 3
g(x) = (x - 2)2 + 3
h(x) = (x – 3): –
k(x) = (x + 3)} – 2
Oc.
OD.
Reset
Next
Answer:
I think the correct answer of these qusion is g(x)=(x_2)2+3
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
Answer:
What are the results? What's the question?
Step-by-step explanation:
Answer: This is your answer: 3.a = 38%, b = 3%
Step-by-step explanation:
Trust me no cap
Choose the correct graph of the given system of equations. (1 point)
y + 2x = -1
3y – x = 4
Answer:
y=2x-1
y=x+4/3
Step-by-step explanation:
Elwood invested $5,000 in a money market account and has been tracking its progress. He found that after 3 years, the account held $7,100 and after 8 years, the account held $10,350. Use this information to complete the statements. Over the first 3 years, the value of the account increased at ___ over the last 5 years. Over the entire 8 years, the value of the account increased at an average rate of approximately $___ annually.
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*[tex](1+r/100)^{t}[/tex]
10,350=5000[tex](1+r/100)^{8}[/tex]
[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]
2.07=[tex](1+r/100)^{8}[/tex]
[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]
1.095-1=[tex]\frac{r}{100}[/tex]
0.095*100=r
r=9.5%
Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]
=$475
Answer:
drop down 1 a slower rate per year
drop down 2 670
Step-by-step explanation:
as in three years you get $7100
you take that and subtract it by your starting amount (5000)
7100-5000= 2100
then divide 2100 by the number of years (3)
to get your annual rate of 700$
then you take the 8 year total and subtract it from your 3 year total
10350-7100= 3250
Then divide that by 5 because that how many years it has been
to get the annual rate of 650
making the 5 year rate slower.
The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000
10350-5000= 5350
then take 5350 and divide it by the number of years (8)
you then get you average rate of 668.75
668.75=670
Hope this helps!
Is y=-1/3x+2. 2=y+1/3x
Answer:
yes i think so
Step-by-step explanation:
If you save $125 each week for one year, how much will you be able to save? There are 52 weeks in one year.
Answer:
You will save 6,500
Explanation:
There are 52 weeks in one year multiply 52 times 125
2x+3y=12
complete the missing value in the solution to the equation.
(_,8)
*will give 10 points*
Type SSS, SAS, ASA, SAA, or HL
To justify why the two larger triangles are
Congruent.
The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
What is the SAA Congruence Theorem?The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.
Thus:
ΔADB and ΔCBE have:
two pairs congruent angles: ∠ABC ≅ ∠CBE and ∠BAD ≅ ∠BCEone pair of non-included congruent sides: AD ≅ ECTherefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.
Learn more about the SAA congruence theorem on:
https://brainly.com/question/2102943
someone help.me find angle C and D
also this is in CIRCLE THEOREM lesson
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary.
Therefore 3c = 4d = 180°, c = 60° and d = 45°.
Please help me solve this
Answer:
75
Step-by-step explanation:
it will take 3 week for 3×25 and 5 week for 5×15. I hope this helps.
The probability of drawing two green jacks from a bag at random without replacement is 227 .
The probability of drawing a green jack first is 27 .
What is the probability of drawing a second green jack, given that the first jack drawn was green?
4/189
10/189
7/27
68/189
Answer:
7/27 or C in other words.
What is the value of the expression?
2 (32 – (4 - 1)"
solve for x.
6(x+4)-8x=16
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x+4)−8x=16
(6)(x)+(6)(4)+−8x=16(Distribute)
6x+24+−8x=16
(6x+−8x)+(24)=16(Combine Like Terms)
−2x+24=16
−2x+24=16
Step 2: Subtract 24 from both sides.
−2x+24−24=16−24
−2x=−8
Step 3: Divide both sides by -2.
-2x/-2=-8/-2
x=4
Answer:
X=8
Step-by-step explanation:
First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8
Evaluate the logarithm. ln(1/e^2)
Answer:
-2
Step-by-step explanation:
Notice that 1/e^2 = e^(-2), by power rules.
Now ln(e^x)=x.
So ln(1/e^2) = ln(e^(-2))=-2
Write the equation for the nth term that defines the sequence f(1) = 3, f(2) = 8, f(3) = 13, f(4) = 18, f(5) = 23
Pls help, some question I already have the answer but its different from the book answer
You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
pls help work is due tonight i will give brainliest
Answer
the first one is the answer and none of the above
Step-by-step explanation:
slope is - 4 and the line passes through the point (1,3 )
Find the VALUE or EVALUATE 62 + 5b when b = 3. (HINT: 62 means 6 X 6)
Solve the proportion 2/7=x/42
A. 1/2
B. 12
C. 2/7
D. 6
Because algebra is going to help me raise a family, buy a house, and pay taxes.
uh someone help with this question -photo attached-
Answer:
c)-2 is greater than -6
Step-by-step explanation:
HELP ME PLEASE!!!!!!!
Given:
The graph of a line.
To find:
The equation of line and values of m and b. Check whether it is proportional or linear.
Solution:
From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-4=\dfrac{0-4}{2-0}(x-0)[/tex]
[tex]y-4=\dfrac{-4}{2}(x)[/tex]
[tex]y-4=-2x[/tex]
Adding 4 on both sides, we get
[tex]y=-2x+4[/tex]
On comparing this equation with slope intercept form, i.e., [tex]y=mx+b[/tex], we get
[tex]m=-2\text{ and }b=4[/tex]
All lines are linear. If a line passes through the origin then it is proportional.
From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.
Therefore, the value of m is -2 and the value of b is 4. The equation of line is [tex]y=-2x+4[/tex]. The line linear not proportional because it does not passing through the origin.
slove : 28/36 = 14/y
Answer:
y = 18
Step-by-step explanation:
i) reduce the fraction with 4[tex] \frac{28}{36} = \frac{14}{y} [/tex]
[tex] \frac{28 \div 4}{36 \div 4} = \frac{14}{y} [/tex]
[tex] \frac{7}{9} = \frac{14}{y} [/tex]
ii) simplify the equation with cross multiplication[tex] \frac{7}{9} = \frac{14}{y} [/tex]
[tex]7y = 14 \times 9[/tex]
[tex]7y = 126[/tex]
iii) divide both sides of the equation by 7[tex] \frac{7y}{7} = \frac{126}{7} [/tex]
[tex]y = 18[/tex]
Answer:
Step-by-step explanation:
Apply proportions
y =(36*14)/28 = 18
Tyler's brother works in a shoe store. He earns a commission. He makes 2.5% of the amount he sells. Last week he sold $900 worth of shoes. How much was his commission? (step by step explanation please)
Answer:
22.5
Step-by-step explanation:
multiply 900 by .025 to get 22.5.
When you multiply by a percentage to find an amount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you receive is the answer.. :)
Subtract 36.12 − 3.76 = ______
Answer for Blank 1:
Answer:
32.36
Step-by-step explanation:
Answer:
32.36
Step-by-step explanation: