Christopher is deciding between two landscaping companies for his place of business.
Company A charges $30 per hour and a $200 equipment fee. Company B charges
$50 per hour and a $100 equipment fee. Let A represent the amount Company A
would charge for t hours of landscaping, and let B represent the amount Company B
would charge for t hours of landscaping. Write an equation for each situation, in
terms of t, and determine the number hours, t, that would make the cost of each
company the same.
A=
B=
Answer:
Answers
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
Step-by-step explanation:
The time required in hours for the cost for both the companies to be the same is 5 hours.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
From the given information the total cost C in terms of t for company A is,
C = 30t + 200 and for company B is, C = 50t + 100.
Therefore, the number of hours when the cost of each company would be the same is,
30t + 200 = 50t + 100.
30t - 50t = 100 - 200.
- 20t = - 100.
20t = 100.
t = 10/2.
t = 5 hours.
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Related Questions
NEED HELP ASAP
Given the following vectors in component form:
u = ⟨10, 12⟩
v = ⟨– 3, y⟩
5u = ⟨50, 60⟩
5v = ⟨–15, 5y⟩
5(u + v) = ⟨35, 40⟩
What is the y-component of vector v?
y = –3
y = –4
y = –20
y = 4
Answers
Answer:
B. y=-4
Step-by-step explanation:
The discriminant of a quadartic equation is 40. What is the nature of the solutions?
Answers
Since the discriminant is positive, this means we have two distinct real solutions.
If a, b, and c are rational numbers, then a discriminant of D = 40 indicates the two solutions are not rational. We would need D to be a perfect square to get two rational solutions.
The nature of the solution of positive discriminant of a quadratic equation shows two distinct real number solutions.
Here discriminant of a quadratic equation is 40.
What is discriminant?
The discriminant is the part of the quadratic formula underneath the square root symbol; [tex]b^{2} -4ac[/tex]. The discriminant tell us whether there are two solution, one solution, or no solutions.
Now, since the discriminant is given as 40 that's mean discriminant is positive.
Hence we have two distinct real number solutions.
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0.5 in simplest form
Answers
Answer:
all e
3 works hope it helped
answer and show work plzzzzxxxx thxxx
Answers
Answer:
-21
Step-by-step explanation:
9/1 x -7/2 = -42/2 = -21
the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^
Answers
Use the formula P = 2a+ b.
Let a = 12
Let b = 8
P = 2(12) + 8
P = 24 + 8
P = 32
Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answers
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
[tex] \overline{NM} = 20 [/tex]
[tex] \overline{MK} = 15 [/tex]
[tex] \overline{KN} = 25 [/tex]
[tex] \overline{TR} = 3x - 1 [/tex]
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:
[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]
c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:
[tex] \overline{TR} = \overline{NM} [/tex]
[tex] 3x - 1 = 20 [/tex] (substitution)
Add 1 to both sides
[tex] 3x = 20 + 1 [/tex]
[tex] 3x = 21 [/tex]
Divide both sides by 3
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]
Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]
[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] Lk = \sqrt{9 + 16} [/tex]
[tex] Lk = \sqrt{25} [/tex]
[tex] Lk = 5 [/tex]
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]
[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] LM = \sqrt{25 + 9} [/tex]
[tex] LM = \sqrt{34} [/tex]
[tex] LM = 5.8 [/tex] (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Madelyn needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $250 and the total cost charged for 5 hours is $500. Write an equation for
P
,
P, in terms of
t
,
t, representing the amount of money Madelyn would have to pay to use the studio for
t
t hours.
Answers
9514 1404 393
Answer:
P = 250 +50t
Step-by-step explanation:
We are given two pairs of time and price:
(t, P) = (0, 250) and (5, 500)
We can put these into the 2-point form of the equation for a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
P = (500 -250)/(5 -0)(t -0) +250
P = 250/5t +250
P = 50t +250 . . . . Madelyin's cost equation
Answer:
need
Step-by-step explanation:
r
–4=-3+
+
10
Answer?
Answers
Answer:
r = 11
Step-by-step explanation:
Is the question
r - 4 = - 3 + 10
So what's r
r - 4 = -3 + 10 Combine the right
r - 4 = 7 Add 4 to both sides
r - 4 + 4 = 7 + 4
r = 11
i need to know 2 divided by 9/10
Answers
Answer:
2 2/9
Step-by-step explanation:
2 divided by 9/10 = 2/1 / 9/10
2/1 x 10/9 = 20/9 = 2 2/9 or 2.222..
pls help i give brainliest
Answers
I hope this helps :)
Will give brainliest if you are right.
Answers
Answer:
x-int (2, 0)
y-int (0, 3)
General Formulas and Concepts:
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis.Step-by-step explanation:
Step 1: Locate x-intercept
x-int (2, 0)
Step 2: Locate y-intercept
y-int (0, 3)
Y-4=-2(x+3)y−4=−2(x+3)y, minus, 4, equals, minus, 2, left parenthesis, x, plus, 3, right parenthesis Complete the missing value in the solution to the equation.
Answers
Answer:
4
Step-by-step explanation:
just did it
Answer:
3
Step-by-step explanation:
Khan Academy
f(x) = -2(x - 1)(x + 3)
Answers
Will give brainiest! Please help!
A study found that 27% of the fish in a river are trout, 36% are salmon, and 18% are sturgeon. If a large fish trap is set and it captures 200, what is the ratio of salmon to total fish, in lowest terms
Answers
Answer:
The ratio of salmon to total fish caught is 9 over 25.
Step-by-step explanation:
Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.
All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.
36 x 2 = 72
So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.
Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!
(a^4)(a5) = (a)9
O A. True
O B. False
Answers
When exponent are being multiplied u add them together
Answer:
true
a^4.a^5=a^9
base same then power should be added
a^4+5
a^9
A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?
Answers
Answer:
About 40 (Accurate answer would be 39.7 or 39.666666)
Step-by-step explanation:
714/18 = 39.666666
Answer:
wait look it up on google
Step-by-step explanation:
anyone have mocks gcse for year11 maths edexcel
Answers
I'm in year 10 but here are some useful websites...
the scale of a map says that 6cm represents 15 km. what distance on the map represents an actual distance of 6 kilometres
Answers
Answer:
2.4 cm
Step-by-step explanation:
[tex] \frac{6}{15} = \frac{x}{6} \\ \\ 15x = 6 \times 6 \\ \\ 15x = 36 \\ \\ x = \frac{36}{15} \\ \\ x = 2.4[/tex]
7f + 15 - 2g the answer?
Answers
4g=24
Step-by-step explanation:
find the value of x. then find the angle measures of the polygon
50 points brainliest answer
Answers
Answer: x = 160
Step-by-step explanation:
540 = 100+(x-25)+(x-15)+(1/2)x+(1/2)x
540= 100-40+3x = 60+3x
480 = 3x
x = 160
Answer:
0.5x + 0.5x + (x-25) + (x-15) + 100 = 540
x + x - 25 + x - 15 + 100 = 540
3x + 60 = 540
3x = 540 - 60
3x = 480
x = 480/3
x = 160
a rectangular garden has a perimeter of 48 feet. If the width of the garden is 2 feet less than the length, what are the dimensions of the garden?
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Width =x-2
Length=x
Perimeter =48
Perimeter =x*(x-2)
Substitute: 48=x*(x-2)
Simplify: 48=x^2-2x
x=48/2=24
What’s the square root of 64
Answers
Answer:
The square root of 64 is 8
8 x 8 = 64
WHO EVER HELP ME I WILL GIVE THEM BARINLEST
Answers
This is quite simple. Toby ran 5 units, and it says Kate ran 4 times Toby ran meaning the person ran [tex]4 * 5[/tex] so 20 units. Then it says Jim ran 3 times the units Kate ran. Meaning it would be [tex]3 * 20[/tex] which is 60 units. Hence Jim ran 60 units or 60 miles. :D
A movie rental store charges a $6 membership fee plus $2.50 for each movie rented. What are the slope and y-intercept that represent the total cost?
Answers
There searched up please be correct
Answer:
domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.
Step-by-step explanation:
Pls don't judge me if this is wrong
What's 0.13 quite a bit
Answers
A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.
Answers
Answer: 12.5
Step-by-step explanation:1.50*5=7.5
7.5-70=62.5
62.5 divided by 5 = 12.5
-1.50. -1.50
x(5)= 68.5
__ ___
5 5
x=13.7
hope this helps :)
Patrick walks 0.78 mile each day. A. How far will he walk in all if he walks this distance each day for 14 days? B. How could you use either multiplication or addition to solve this problem?
Answers
What is the value of x?
Answers
Answer:
X=53°+45°=98°
( BEING EXTERIOR ANGLE OF A TRIANGLE IS EQUAL TO THE SUM OF INTERIOR ANGLES)
Answer:
Value of x is 118 in the morning
The coordinate grid shows three points P, Q, and R:
PLEASE HELP!!!!!!!!
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Answers
Answer:
the answer is 10 the other dude is right
Step-by-step explanation:
Answer:
10
Step-by-step explanation:i just took the test and got it right :)
HELP ASAP! WILL MARK BRAINLYNESS OR WHATEVER ITS CALLED
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line can be drawn through all the points and the line passes through the origin.
A straight line cannot be drawn through all of the the points but the line passes through the origin.
A straight line can be drawn through all the points but the line does not pass through the origin.
A straight line cannot be drawn through all of the the points and the line does not pass through the origin.
Answers
Answer:
the first one.
Step-by-step explanation:
The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."
