Answer:
H'(8v,-6v)
Step-by-step explanation:
Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.
For our problem , the dilation factor is "v"
So, image would be (8v,-6v)
Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
One week, Ellie earned $72.50 at her job when she worked for 5 hours. If she is paid
the same hourly wage, how many hours would she have to work the next week to earn
$232.00?
Answer:
The corect answer is 16.
Step-by-step explanation:
$ 72.50 per 5 hours = $14.50 per hour ....
because 72.50 ÷ 5 = 14.50
THEN
$232.00 ÷ $14.50 (in other words→23200 ÷ 1450) = 16
Thats it, I also needed help but after hours of consideration I got it.
What is the slope of a line perpendicular to the line whose equation is
10x – 8y = -80. Fully reduce your answer.
Answer:
-4/5
Step-by-step explanation:
write the given equation in y=mx+b form, where m is the slope
10x-8y=-80
-8y= -10x-80 divide both sides by -8
y=(10/8)x+10
y=(5/4)x+10
m= 5/4 is the slope of the given function
the slope of an equation that is perpendicular is the negative reciprocal of the given one so is
m= -4/5
Hey guys happy holidays! any help is appreciated :)
Answer:
That is definitely C
happy holidays to you too
describe transformation given by (x,y) (x, y + 2)
Answer:
This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
Factorise
X squared + 13x + 40
Whats the absolute value of 3 1/7
Answer:
3.142857 (3.14)
Step-by-step explanation:
Solve the system.
y=6x-1
y=3x-4
The solution is _____
.
Explain your choice of method.
Answer:
(-1, -7)
Step-by-step explanation:
Solve by graphing.
Graph the two equations together.
The lines intercept at (-1, -7).
Hope this helps.
Answer:
Solution: (-1, -7)
Step-by-step explanation:
6x - 1 = 3x - 4
Subtract 3x from both sides;
3x - 1 = -4
Add 1 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Substitute x into the equation;
y = 3(-1) - 4
y = -3 - 4
y = -7
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
Which expression is equivalent to 9-3?
3(y-1)
3(3y-1)
9(y-3)
9(3y-3)
if its correct I will give brainliest!♡
Answer:
B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer
Step-by-step explanation:
The answer is B, I took the test.
The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False
Answer:
The given statement is true.
Step-by-step explanation:
Given function is:
[tex]P(x) = x^4 - 2x^3 - x+2[/tex]
And the given point is:
(1,0)
In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.
For (1,0) we will put x = 1 in function and check whether we get 0 as output
[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]
Hence,
The given statement is true.
Answer:
A. True
Step-by-step explanation:
Multiply
(1.4 x 105)(2 x 107)
Answer:
31458
Step-by-step explanation:
(1.4 x 105) = 147
(2 x 107) = 247
147 x 247 = 31,458
help plss i will mark brainliest
Answer:
x = 8
Step-by-step explanation:
10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^
Answer:
x =25/2
10/8 = x/10
- Cross multiply
8x=100
- Divide both sides by 8
x=100/8
- Simplify
x=25/2
Hope This Helps!
Find the product (у- 2)(5у2 + 3y - 1)
Answer:
5y^3 - 7y^2 - 97y + 2 <<<< Answer
Step-by-step explanation:
(у- 2)(5у2 + 3y - 1)
Multiply the three terms by y
5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y
Multiply the three terms by - 2
-2*5y^2 -2*3y - 2*-1
-10y^2 - 6y + 2
Now combine the like terms
5y^3 + 3y^2 - 10y^2 - y - 6y + 2
5y^3 - 7y^2 - 97y + 2
y
What is the equation of the line in it's simplest forms
Answer:
you to be the line smell the line and thats it
Step-by-step explanation:
Find the sum. (w+8) + 2(w +9)
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Can you help meh pls
How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4
Answer:
A) x = -3
the line is undefined
The equation of the graphed line written in slope-intercept form is x = -3
What is the Slope-Intercept form?The graphed line in slope-intercept form, y = mx + b
To Convert it into the standard form of the equation, ax + by = c.
Consider that the points be (0, 3) and (5,0).
A Slope exists how many units it brought to go vertically or horizontally.
Which Slope doesn't exist.
The y-intercept in slope-intercept form, y = mx + b
where, m = undefined
x = -3
Therefore, the correct answer is option (A), x = -3 because the line is undefined.
To learn more about slope-intercept form
brainly.com/question/12005129
#SPJ7
HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.
Answer:
5.3
Step-by-step explanation:
We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground. Imagine it like two points on a graph. One is at the origin (0,0). That represents the bottom of the ladder. The next one is at (80,15), which represents where the top is. To find slope, we divide rise (y-values) over the run (x-values). The y value increases by 80, while the x increases by 15. 80 divided by 15 equals about 5.3
jontae went to brunch with his family and offered to pay the bill.The total bill was $54.19 before tax. If there is a 15% how much does he pay in taxes
Answer:
$62.32
Step-by-step explanation:
54.19 · 15/100 = 812.85/100 = 8.1285
simplify 8.1285, so it's 8.13
$54.19 + $8.13 = $62.32
You have to get everything on your list in 5 moves.
Can you do it?
Help please
목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.
What is the slope of the line.
Answer:
The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Step-by-step explanation:
Anyone know this pls help me
Original Equation: -5x + 2 = 5
First Step: --5x = 3
distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality
Answer:
subtraction property of equality.
Step-by-step explanation:
the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)
The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Answer:
The population at the beginning of 2016 is 55,326.
Step-by-step explanation:
Giving the following information:
Population 2010 (PV)= 42,000
Growth rate (g)= 4.7% = 0.047
Number of years (n)= 6 years
To calculate the population at the beginning of 2016, we need to use the following formula:
FV= PV*(1+g)^n
FV= 42,000*(1.047^6)
FV= 55,326
The population at the beginning of 2016 is 55,326.
is there anything after 16a+20 ?
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
