Answer:
[tex]y = 120 + 0.15x[/tex]
Step-by-step explanation:
Given
[tex]Additional\ Fee = \$0.15[/tex] per vertical meter
[tex]y = fee[/tex] per x meter
[tex]x = vertical\ meter[/tex]
For:
[tex]x = 3500[/tex] --- [tex]y = 645[/tex]
Required
Determine the equation that relates y to x
Let the initial fee be represented with m
The equation that relates y to x is:
[tex]y = Initial\ Fee + Additional\ Fee * Vertical\ Meter[/tex]
This gives
[tex]y = m + 0.15 * x[/tex]
We need to first solve for m
From the question,
[tex]x = 3500[/tex] when [tex]y = 645[/tex]
So:
[tex]645 = m + 0.15 * 3500[/tex]
[tex]645 = m + 525[/tex]
Make m the subject
[tex]m = 645 - 525[/tex]
[tex]m = 120[/tex]
So, the initial fee is $120
Substitute 120 for m in [tex]y = m + 0.15 * x[/tex]
[tex]y = 120 + 0.15 * x[/tex]
[tex]y = 120 + 0.15x[/tex]
Hence, the required equation is: [tex]y = 120 + 0.15x[/tex]
For a given input value xxx, the function ggg outputs a value yyy to satisfy the following equation. -4x-6=-5y+2−4x−6=−5y+2minus, 4, x, minus, 6, equals, minus, 5, y, plus, 2 Write a formula for g(x)g(x)g, left parenthesis, x, right parenthesis in terms of xxx. g(x)=g(x)=g, left parenthesis, x, right parenthesis, equals
Answer:
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Step-by-step explanation:
The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2
Therefore, we have;
-4·x - 6 = -5·y + 2
-5·y + 2 = -4·x - 6
-5·y = -4·x - 6 - 2 = -4·x - 8
Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5
y = 4/5·x + 8/5
Which gives;
g(x) = y = 4/5·x + 8/5
Therefore;
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Pls help . due in a few minutes
PLEASE HELP ASAPPPPPPPPPPP WILL MARK BRAINLIEST!!
The income in dollars for a school talent show can be expressed by 100p - 5p2, where p is the ticket price. What ticket price(s) will result in an income of $0?
Answer: x = 0, 20
Step-by-step explanation:
The equation would be 100p-5p^2=0
Then factor 100 and -5 by 5
Can someone please help me with this
There are 47 tables of 4 and 16 tables of 5 how many customers are in the restaurant
Answer:
268
Step-by-step explanation:
We need to multiply and add:
47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.
16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.
Add them up to get: 188 + 80 = 268 customers total.
Help me please I have to have this done in 5 minutes
Answer:
F (-1,5)
Step-by-step explanation:
Since the problem gives you the graph, all you have to do is see which point falls in the shaded part. F is the answer since J is on the line. If the equality was less than or equal, then it would be F and J.
Answer:
1,5
Step-by-step explanation: there may be a negitive number
What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?
Add 8.5.
Subtract 17.2.
Add 17.2.
Subtract 8.5.
Answer:
subtract 8.5
Step-by-step explanation:
this will isolate y
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Answer:
Let
y--------> cost of the dinner with friends
h--------> the number of hours Lindsay worked last week
we know that
y =\frac{1}{15} *( 10h+60)y=
15
1
∗(10h+60) ------> equation 11
y =\frac{1}{10} *( 10h)y=
10
1
∗(10h) ------> equation 22
equate equation 11 and equation 22
\begin{gathered} \frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)\\\\ Multiply\ by\ 150\ both\ sides\\\\ 10*(10h+60)=15*10h\\\\ 100h+600=150h\\\\150h-100h=600\\\\ h=\frac{600}{50} \end{gathered}
15
1
∗(10h+60)=
10
1
∗(10h)
Multiply by 150 both sides
10∗(10h+60)=15∗10h
100h+600=150h
150h−100h=600
h=
50
600
h= 12\ hoursh=12 hours
therefore
the answer is
Lindsay worked 12\ hours12 hours last week
The equation that can be used to find the number of hours is
\frac{1}{15} *( 10h+60)=\frac{1}{10} *( 10h)
15
1
∗(10h+60)=
10
1
∗(10h)
Lindsay worked for about 120 hours last week.
What is an equation?An equation is used to show the relationship between two or more variables and numbers.
Let h represent the number of hours Lindsay worked last week, hence:
(1/15)(10h + 600) = (1/10)(10h)
40h + 2400 = 60h
h = 120 hours
Lindsay worked for about 120 hours last week.
Find out more on Equation at: https://brainly.com/question/2972832
Which image shows the correct position of M (-4,3)?
A graph A
B. graph B
C. graph C
D. graph D
Answer: The Answer is graph A
Its right I got it on my test before! I hope this helps!
-Jayden
Please help me solve this!!
Answer:
[tex]x=\sqrt{-2},or,x=\sqrt{2}i[/tex]
Step-by-step explanation:
[tex]-3x^2+11=17\\-3^2+11-(11)=17-(11)\\-3x^2=6\\x^2=-2\\x=\sqrt{-2}[/tex] I don't know what level math you're taking but in lower level math this would be undefined, can't be simplified. But some higher levels simplify it with imaginary or complex number representations. So take your pick, but it's still undefined[tex]x=\sqrt{2}i[/tex]−3x−7<14
please help me
Answer:
x > -7
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define inequality
-3x - 7 < 14
Step 2: Solve for x
Add 7 to both sides: -3x < 21Divide -3 on both sides: x > -7Here we see that any value greater than -7 would work as a solution of x.
Step-by-step explanation:
-3x-7<14
-3x<21
3x>-21
x>-21/3
x>-7
f (x) = 7(x-1)+8, what is the value of f(4)
Answer:
29
Step-by-step explanation:
x=4. 4-1=3. 7x3=21. 21+8=29. Viola
Answer:
3/7
Step-by-step explanation:
Find the equation of the line that contains the point (- 4, - 5) and parallel to the line 6x + 7y = 13 .
See attachment for math work and answer.
confused!!! help out.
Answer: The mistake is that david messed up on the inverse operation rules. He should have subtracted 2x, not add, and same goes to adding 2 to 33. He should have subtracted 2 not added it.
Step-by-step explanation:
7x - 2 = 2x + 33
7x - 2x - 2 = 33
5x - 2 = 33
5x = 35
x = 7
what rational number equals 0.1111111111
Answer:
1/9
Step-by-step explanation:
1/9 is a fraction, so it is rational.
Answer:
1111111111/1000000000
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Answer:
The graph of the image is attached below.
Step-by-step explanation:
Let the points of the figure
A(1, -1)B(3, -1)C(1, 2)D(3, 2)We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.
The rule of dilation by a scale factor of 2 is:
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x,2y)
The coordinates of the vertices of the image according to this rule will be:
(x, y) → (2x,2y)
A(1, -1) → (2(1),2(-1)) = A'(2, -2)
B(3, -1) → (2(3),2(-1)) = B'(6, -2)
C(1, 2) → (2(1),2(2)) = C'(2, 4)
D(3, 2) → (2(3),2(2)) = D'(6, 4)
Therefore, the coordinates of the vertices of the image will be:
A'(2, -2)B'(6, -2)C'(2, 4)D'(6, 4)The graph of the image is attached below.
5. Make your own 2 step equation that has a solution of x = 5 and solve.
it’s not giving me the correct thing i want. i would like for it to give me a 2 step equation that ends up giving me the answer of 3
Answer:
3x+5=10
Step-by-step explanation:
3x+5=10
it would be solved like this
3x = 15
x = 5
Hope this helped :)
is (-1,1) a solution for the system
y=2x=3
y=-x
Answer:
Yes
Step-by-step explanation:
Substitute the x and y values of the point into the x and y values of the equation.
[tex]1=2(-1)+3\\1=-2+3\\1=1\\:)\\\\1=-(-1)\\1=1\\:)[/tex]
Hope this helped!
Random Question That You Can Answer For Points.
1) Which is the better buy, 6 bagels for $3.39 or 8 bagels for $5? Explain.
2) What is 7lb 4 oz converted to ounces?
3) Mr. Swanson bought a package of 10 disposable razors for $6.30. He found that each razor only lasted 1 week. What Was The Cost Per Day?
Answer:
3) is 9 cents
Step-by-step explanation:
$6.30/70 days = $0.09 = 9 cents
A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A'B'C'D', which resulting point is closest to the line of reflection? (1 point) O A' O B O D' OC
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'
help me im really bad at this stuff
Answer:
We conclude that the estimated volume of a cylinder is 288 in.³
Step-by-step explanation:
Given
r = 3.75 inchesh = 6.21 inchesThe formula to determine the volume of a cyliner is:
[tex]V=\pi r^2h[/tex]
substituting the values r = 3.75 inches, h = 6.21 inches, and π = 3.14 in the formula to calculate the volume of a cylinder.
[tex]V=\pi r^2h[/tex]
[tex]V=\left(3.14\right)\left(3.75\right)^2\times 6.21[/tex]
[tex]V=274[/tex] in.³
Therefore, from the given options, we conclude that the estimated volume of a cylinder is 288 in.³
IXL Special Rights Triangle
Step-by-step explanation:
Hope this helps, happy learning
Helpppppppppppppppppp
Answer:
first step would be adding 10 to both sides
Step-by-step explanation:
Answer:
add 10 firstStep-by-step explanation:
yepppppppp
A class of 20 students wants to form a committee to fundraise for cancer research. If the committee is formed with four students, how many possible committees can be made?
Answer:
the answer is 24 i just did this test
Step-by-step explanation:
Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?
(please help me)
Answer:
x = 1/a-b.
x is the reciprocal of the difference of a and b.
x is 1 over the difference of a and b.
x is the quotient of 1 and the difference of a and b.
Step-by-step explanation:
i did it
The transformation of the given equation ax = bx + 1 for the x will be 1/(a - b).
What is the substitution of an equation?In the by substitution method, one of the equations is calculated for one of the variables, which is then transferred back into the other equation where the chosen variable is a replacement, and the second equation is then calculated for. The first variable is then home safely.
In other words, substitution is a method to find the value of variables x and y by just substituting x and y to another equation.
The substitution method is more good than the elimination method.
Given that the equation
ax = bx + 1
Transfer bx to the left side
ax- bx = 1
Take common x from the left-hand side
x(a - b) = 1
Divide a - b on both sides
x = 1/(a - b) hence it will be the correct transformation.
For more about the substitution method
https://brainly.com/question/22340165
#SPJ2
HELPPPPP #10 ASAPPPPP PLEASE
Answer:
A.
Step-by-step explanation:
Complete the missing value in the solution to the equation.
His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm. 20 cm 10 cm 40 cm to scale He looks at the prices of two companies, WeDeliver and GoParcels. Not drawn WeDeliver Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost of sending the parcel with each company. Give each of your answers
Answer:
For WeDeliver= $224
For GoParcels = $56
Step-by-step explanation:
Since we are told his parcel is a cuboid with dimensions 10cm, 20cm, and 40 cm, it means the parcel consists of 4 edges of 10 cm, 4 edges of 20 cm, and 4 edges of 40 cm.
For WeDeliver, the Total Cost is:
Sum, in cm, of the dimensions x 0.80, which is, (10cm *4) + (20cm *4) + (40cm *4) = 280cm x 0.80 = $224. While
For GoParcels, the Total Cost is:
Total area, in [tex]cm^{2}[/tex], of all 6 faces, x .02
Remember that a cuboid has six (6) faces or sides, so the total area would be gotten by taking note of the length of each visible side of the parcel and then multiplying to get the other side after which we sum after doing so we get:
[tex]800^{cm2}[/tex] for front side[tex]800^{cm2}[/tex] for the backside[tex]400^{cm2}[/tex] for the top[tex]400^{cm2}[/tex] for the bottom[tex]200^{cm2}[/tex] for the left side[tex]200^{cm2}[/tex] for the right side.Total area = [tex]2,800^{cm2}[/tex] * 0.02 = $56
Answer:
Step-by-step explanation:
224 56
help and please explain
Help will mark Brainliest for the answer
Answer:
3rd step
Step-by-step explanation:
2*3+3 is not equal to 2*6 because of bidmas we do multiplication first