Answer:
84,000 m + 36,000 p = 1,962,800
Step-by-step explanation:
Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.
The cost of resurfacing a mile of 2-lane road is estimated at $84,000.
So,
Cost of resurfacing m miles of 2-lane road = $84,000 m
The average starting salary of a worker in the department is $36,000 a year
So,
Total salary paid to p workers = $36,000 p
Now, total amount is equal to $1,962,800.
84,000 m + 36,000 p = 1,962,800
An equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, p, if it spends the entire budget is given as follows
[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]
Equation (1) is the model equation for the given situation.
According to the question
Numbers of miles of 2 lane road = m
Number of workers that could be hired = p
The cost of resurfacing a mile of 2-lane road is estimated at $84,000. /mile
here m and p are our variables
The average starting salary of a worker in the department is $36,000 /year
The Department of Streets of a city has a budget of $1,962,80.
So the Equation for the budget can be written as
[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]
Equation (1) represents One linear equation with two variables.
For more information please refer to the link below
https://brainly.com/question/13911928
Which function is best represented by this graph?
PLEASE PLEASE HELP ME
Answer:
B I have that test
Step-by-step explanation:
Look at the picture please
Answer:
15 words per minute.
Step-by-step explanation:
We can look at the line graph, and look at the "1" at the bottom, then go up to where the line is. It's at the point "15". The unit rate is 15 words per minute.
Janae is buying food for a party. She is buying a cheese tray for $4.50 and a few pounds of fruit for $1.99 each. Write the equation to represent the situation
Answer:
$6.49
Step-by-step explanation:
Fruit=$1.99
Cheese tray=$4.50
1.99
+4.50
=$6.49
Plz do my worksheet plz
Answer:
I think numder 2 is vertices
i need help PLZZZ ITS DUE TODAY IM SCARED IF I GET IT WRONG
Answer:
C.
Step-by-step explanation:
It's the only one that doesn't start exactly on the line of (1,5) but it's starts on (1,4.50) to show 4.50 per pound.
1. Identify the slope and the y-intercept in
the following equation:
y = x +7
Answer:
Step-by-step explanation:
slope is 1
y intercept is 7
what property is y(x+5)
PLEASE HELP WILL MARK BRAINLYEST
Based on the lesson, identify the first operation needed to solve the following equation.
2x+3=11
O subtraction
O multiplication
O division
O addition
Answer:
Subtraction
Step-by-step explanation:
This is because you would minus 3 from both sides, leaving:
2x=8
Then, you would divide both sides by 2 to isolate x.
x=4
Hope this helps!
Answer:
D
Step-by-step explanation:
Hope this helped, if not, don’t hate.
Retake:will give brainliest
Answer:
Step-by-step explanation:
The graph should start with an y-intercept of 100 because even if zero people attend, it costs $100 for the DJ. Then, the line should have a slope of 20 because for each additional person it costs another $20. when you reach the point (10,200) the line will plateau where every y value after that will be 200
HELP!!!!!BRAINLIEST
PLEASE SHOW YOUR WORK ON A PAPER BRAINLIEST!!!!!!!!!!!!!!!!!!
Answer: Noah's mixture would be more flavorful and fizzy because his ratio of water and fizz powder aren't to off (not a large ratio gap). Andre's orange fizz would be a little more watered down making it less fizzy and less flavorful because 8 cups were added instead of 6 or 7 cups of water. Also Noah would have less drink made them Andre because he only used 6 cups of water.
Step-by-step explanation:
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?
(x, y) → (x + 3, y – 4)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y – 3)
(x, y) → (x + 4, y + 3)
Answer:
The third option, or (x, y) ---> (x + 4, y - 3)
Step-by-step explanation:
When moving right on the horizontal axis, you always add so since we are moving 4 units to the right, that would be x + 4, and when moving down on the vertical axis, we always subtract, so since we are moving 3 units down, that would be y - 3
ASAP!!!!
how do i write the intercept form equation
y=a(x-p)(x-q)
when i know a=-16
p=-0.12
q=1.12
Answer:
y = -15x - 3.04
Step-by-step explanation:
1) First place down what you are given.
Y = a(x - p) (x - q)
2) Then Substitute.
a = -16
p = -0.12
q = 1.12
y = (-16)(x - (-0.12))(x - (1.12)
3) Do order of operations (PEMDAS)
y = (-16)(x + 0.12)(x - 1.12)
Now distribute
y = − 16 x − 1.92 + (x - 1.12)
y = -16x - 1.92 + x - 1.12
y = -16x + x - 1.92 - 1.12
y = -15x - 3.04
4)
You answer is:
y = -15x - 3.04
perimeter of a ground is 6m. Find the cost of fencing it at the rate of rs 250per meter
Answer:
to find the rate of fencing, you should find the perimeter of the rectangle.
2(l+b)
2(155+125)
2*180
360m
cost of fencing = 360*10
= Rs 3600
now to find the cost of fielding, find the area
(l*b)
155*125
19375 square mtr
cost of fielding = 19375*15
= Rs 290625
Step-by-step explanation:
what is the regular way we see and use numbers in scientific notation
Answer:
2,890,000,000 becomes 2.89 x 10⁹. that's an example
The greenhouse club is purchasing seed for the lawn in the school courtyard. The club needs to determine how much to buy. Unfortunately, the club meets after school, and students are unable to find a custodian to unlock the door. Anthony suggests they just use his school map to calculate the area that will need to be covered in seed. He measures the rectangular area on the map and finds the length to be 10 inches and the width to be 6 inches. The map notes the scale of 1 inch representing 7 feet in the actual courtyard. What is the actual area in square feet?
Answer:
The answer is 2940ft^2
Step-by-step explanation
First convert length and width to feet using the value given (7ft=1inch).
[tex]10*7= 70[/tex]
[tex]6*7= 42[/tex]
Multiply these values for the actual area.
[tex]42*70= 2940[/tex]
The actual area of the lawn is 2940ft^2
Identify whether each equation has one solution, infinitely many solutions, or no solution.
2(x - 5) = 2(x - 5)
One Solution
Infinitely Many Solutions
No Solution
5(x + 4) = 5(x-6)
5(x + 4) = 3(x-6)
4(x - 2) = 4(x + 2)
x + 2(x - 5) = 3(x - 2) - 4
Answer:
1. 2(x - 5) = 2(x - 5) has infinitely many solutions
2. 5(x + 4) = 5(x-6) has no solution
3. 5(x + 4) = 3(x-6) has one solution
4. 4(x - 2) = 4(x + 2) has no solution
5. x + 2(x - 5) = 3(x - 2) - 4 has infinitely many solutions
Step-by-step explanation:
I did the assignment and I got it correct edge2020
1. 2(x-5)= 2(x-5) = Infinitely many solutions.
2. 5(x+4) = 5(x-6) = No solution
3. 5(x+4) = 3(x-6) = One solution
4. 4(x-2) = 4(x+2) = No solution
5. x+2(x-5) = 3(x-2) - 4 = Infinitely many solution
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
The given equations is;
1. 2(x-5) = 2(x-5)
2x-10 = 2x-10
0=0
Hence, This equation has infinitely many solution
2. 5(x+4) = 5(x-6)
5x+20 = 5x-30
20 ≠ (-30)
Thus, This equation has no solution
3. 5(x+4) = 3(x-6)
5x+20 = 3x -18
5x-3x = -20-18
2x = -38
x=-19
Thus ,this equation has one solution
4. 4(x-2) = 4(x+2)
4x-8 = 4x+8
-8 = 8
Thus, this equation has no solution
5- x+2(x-5) = 3(x-2) -4
x+2x-10 = 3x-6-4
3x-10 = 3x-10
0=0
Thus, this equation has infinitely many solution
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which answer choice shows the number one hundred seventy-five ten-
thousandths written in standard form?
O A) 175,000
OB) 1.0075
O C) 0.175
OD) 0.0175
Answer: D
Step-by-step explanation:
Ten thousandths is the fourth place
The expression one hundred seventy-five ten-thousandths in the standard form will be 175,000. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is one hundred seventy-five ten-thousandths. The standard form of the number can be written as below,
Standard form = one hundred seventy-five ten-thousandths
Standard form = 175,000
Hence, the standard form is 175,000.
To know more about an expression follow
brainly.com/question/29431018
#SPJ2
The answer to this question plz
I need to know how to write 1.08 × 10⁴ in standard form
Answer:
1.08 • 10⁴ = 10,800
Step-by-step explanation:
1 0 8 0 0 1 2 3 4Find the values of x and y.
4x(7y - 12)
(6y + 8) (6x-26)
Answer:
x = 13
y = 20
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
In line geometry, the oppositely directed angles are equal. According to the diagram shown;
4x = 6x - 26 (oppositely directed angles)
We can get the value of x from the equation as shown;
4x = 6x - 26
Subtract 6x from both sides
4x-6x = 6x-6x-26
-2x = -26
x = -26/-2
x = 13
Similarly:
6y+8 = 7y-12 (oppositely directed angles)
collect like terms
6y-7y = -12-8
-y = -20
multiply both sides by -1
-(-y) = -(-20)
y = 20
Hence x = 13 and y = 20
PLZ HELP ME! I WILL GIVE BRAINLIEST!!! PLZ ONLY ANSWER IF YOU KNOW!!!
Answer:
Yes they are the same (equivalent)
Step-by-step explanation:
replace y with 2
HELP PLZZZZZZZZ!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the average rate of change from x = −4 to x = 1
Answer:
+5
Step-by-step explanation:
the average rate of change is adding 5
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C(x)=0.5x^2-330x+65,738. How many engines must be made to minimize the unit cost? Do not round your answer
Answer:
330 enginesStep-by-step explanation:
If the unit cost is given by the function C(x)=0.5x^2-330x+65,738 where x is the amount of engines made while C(x) is the unit cost. In order to know the amount of engine needed to minimize the cost;
we will first find dC/dx and equate the resulting function to zero to get x.
dC/dx = 2(0.5)x - 330
dC/dx = x - 330
since dC/dx = 0
x - 330 = 0
x = 330 (critical point)
Then find the second derivative to check if it is greater than zero.
d²C/dx² = 1
Since d²C/dx² > 0, then the cost will be at the minimum when x = 330
Substitute x = 330 into the modeled function;
C(330)=0.5(330)^2-330(330)+65,738.
C(330)= 54,450-108,900+65,738.
C(330)= -54,450+65,738.
C(330)= 11,288
Hence the amount of engines that must be made to minimize the unit cost is 330 engines and the unit cost at the minimum price is 11,288
write the algebraic expression 5 more then the product of 4 and m
Answer:
4m + 5
Step-by-step explanation:
product of 4 and m: 4m
5 more than the product of 4 and m: 4m + 5
Answer: 4m + 5
If f(x)=12x+2(x-1), find f(6)
Answer:
12x6+2(6-1)
72+2x5
72+10
82
82 is the answer.
Step-by-step explanation:
Just replace the X's in the problem with 6.
PLZ HELP I WILL MARK BRAINLEIST!!!!
Option B is the correct answer, x+15=41
Tyler is having a party at a local recreational center. The normal price to rent the space is $10.00 per adult and $5.50 per child and $15 per hour. The center agrees to rent the space for half the normal price because Tyler's father works at the center. A total of 4 adults and 16 children are going to the party. The party is planned to last 5 hours. What is the total price to rent the space for the party?
Answer:
203
Step-by-step explanation:
10x + 5.5y + 15h
x= 4
y= 16
h= 5
10(4) + 5.5(16) + 15(5)
40 + 88 + 75
203
Answer:
$93.50
Step-by-step explanation:
Ok so divide $10.00 by 2 which is $5.00 and divide $5.50 by 2 which is $2.25 and divide $15 by 2 which is 7.50. Since there was 4 adults so it cost $20.00 because 5.00X4=20.00. Since there was 16 kids going it cost $36.00 because $2.25X16=36. Since they were there for 5 hours it cost $37.50 because $7.50x5=$37.50. Add all of those up and you will get $93.50.
HOPE THIS HELPS
What is the range of the given function?
Answer:
the answer is D
[tex] - 7 < y \leqslant 5[/tex]
that the images between 3 and 4
Answer:
Explain more what you need to someone to answer :3