Dividing by 2 is obvious. Square root is "a number which produces a specified quantity when multiplied by itself." Essentially the opposite of exponents.
6) A demand curve for a product is the number of items the consumer will buy at different prices. At a price of $2 a store can sell 2400 of a particular type of toy truck. At a price of $8 the store can sell 600 such trucks. If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Given :
When price is $2 dollars he sells 2400 units .
When price is $8 dollars he sells 600 units .
To Find :
If x represents the price of trucks and y the number of items sold, write an equation for the demand curve.
Solution :
Two points are given :
[tex](x_1,y_1)=(2,2400)[/tex]
[tex](x_2,y_2)=(8,600)[/tex]
Now , slope is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{2400-600}{2-8}\\\\m=\dfrac{-1800}{6}\\\\m=-300[/tex]
Now , the equation of line containing these two points and slope -300 is :
[tex](y-y_1)=m(x-x_1)\\\\y-600=-300(x-8)\\\\y=-300x+2400+600\\\\y=-300x+3000[/tex]
Therefore , equation for the demand curve is [tex]y = -300x +3000[/tex] .
Hence , this is the required solution .
five number are in the ratio 1:2:3:4:5 and the sum is 585.find the numbers
Answer:
39, 78, 117, 156 and 195.
Step-by-step explanation:
If the lowest number is x then we can write the numbers as:
x, 2x, 3x, 4x and 5x, so:
x + 2x + 3x + 4x + 5x = 585
15x = 585
x = 39.
So the second number is 39 * 2 = 78
So all numbers are 39, 78, 117, 156 and 195.
Find the distance of each segment AB and CD. You may leave in radical form. A (3, 4) B(1, 0) and C (-1, 2) D (-2, 5)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB
[tex]\sqrt{(1-3)^2+(0-4)^2}[/tex]
[tex]\sqrt{4+16}[/tex]
[tex]\sqrt{20}[/tex]
[tex]2\sqrt5[/tex]
CD
[tex]\sqrt{(-2-(-1))^2+(5-2)^2}[/tex]
[tex]\sqrt{1+9[/tex]
[tex]\sqrt{10}[/tex]
Hope this helps.
頑張って!
Answer:
Step-by-step explanation:
se the graph to determine the input values that
correspond with f(x) = 1.
O x=4
O x= 1 and x = 4
O x= -7 and x = 4
O x= -7 and x = 2
6.
(-6, 4)
4
(1,4) w
2
(-7, 1)
(2, 1) x w
2
4
-8/ -6 -4 -2 e
-2
-4thrrt
find the base of isolation triangle whose area is 60 CM square and length of one of its equal side is 13 cm
Answer:
base = 10 cm
Step-by-step explanation:
The height from the vertex is a perpendicular bisector of the isosceles Δ
This line divides the triangle into 2 right triangles with hypotenuse 13
Thus each right triangle is a 5- 12- 13 with legs 5 and 12
The height is 12 cm and the base 5 cm
Then the base of the isosceles Δ = 2 × 5 cm = 10 cm
Note Area = 0.5 × 10 × 12 = 60 cm²
Which describes how a person most likely uses latitude and longitude lines?
Help this is all I was given 7*f(5)=
Could -2 be used as a base to rewrite 32?
engage"
Select one:
OYes
ONO
Submit Answer
Answer:
No
Step-by-step explanation:
Help me check my answer! :)
Use greater than, less than, or equal to sign to compare.
3/5 and 0.6
(i got equal to, just checking )
Answer:
yes its equal :)
Step-by-step explanation:
3/5= 0.6
Answer:
[tex]\huge\boxed{\sf Equal \ to}[/tex]
Step-by-step explanation:
=> 3/5 = 0.6
So,
=> 0.6 = 0.6
We'll use "equal to" sign.
Hope this helped!
~AnonymousHelper1807Subtract. WILL GIVE BRAINLIEST
(8f+4)–(6f+2)
Answer:
2f +2
Step-by-step explanation:
[tex](8f+4)–(6f+2)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=8f+4-\left(6f+2\right)\\\\-\left(6f+2\right):\quad -6f-2\\=8f+4-6f-2\\\\\mathrm{Simplify}\:8f+4-6f-2:\\\quad 2f+2[/tex]
2f+2
GIVE OTHER ANSWER BRAINLY!!!!!
Hello There!! I need help in this question...Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. Use the interactive graph to plot each set of points. Which sets represent proportional relationships? Check all that apply. (3, 1), (6, 2), (9, 3) (2, 4), (4, 6), (7, 9) (1.5, 3), (3, 6), (4, 8) (3, 1), (4, 3), (8, 6) Plus, please make a explained to. And, do not guess to this...
Answer:
A- (3, 1), (6, 2), (9, 3) and C- (1.5, 3), (3, 6), (4, 8) are Correct
Step-by-step explanation:
Lin spent 80 minutes doing homework on Monday. Each day from Tuesday
through Friday, Lin spent half as much time doing homework as the day before.
How much total time did Lin spend doing homework, from Monday through
Friday? Explain how you know. *
Answer:
240 minutes
Step-by-step explanation:
Half of 80 is 40. So multiply 40 by 4 which is 160 minutes then add the 80 which equals 240 minutes
Overall 240 minutes Lin spend doing homework from monday to friday.
What is an expression?
Expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Since Lin spent 80 minutes on monday doing homework and from tuesday to friday he is doing half the work before which means he will be doing in 40 mintues now for 4 days that is from tuesday to friday.
Now overall time in mintues he spend on homework will be sum of mintues spent on monday and mintues spent from tuesday to friday :
overall = 80 + 40x4
= 240 minutes
Therefore, overall 240 minutes Lin spend doing homework from monday to friday.
Read more about property of multiplication here :
https://brainly.com/question/14391436
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A 5 1/2 foot by 12 foot concrete wall is to be built using concrete blocks. What is the area of the wall
Answer:
66 feet
Step-by-step explanation:
5 1/2 times 12
Marcus has $45 in his bank account. He deposits a check for $65. Two days later he
withdraws $20. How much money is left in his account?
Answer: $90
Step-by-step explanation: Take 45 and add 65, then subtract 20.
A football team lost 2 yards every 5 minutes. Write the integer that represents how many yards the team lost after 15 minutes
Answer:
the answer is in the picture
Step-by-step explanation:
You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by
8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?
Answer:
The length of the dog park is 74 feet.
Step-by-step explanation:
Given that,
Length of park = (8x+2)..(I)
Width of park = (2x-12)...(II)
Perimeter = 160 feet
We need to calculate the value of x
Using formula of perimeter of rectangular park
[tex]P=2(l+w)[/tex]
Where, l = length
w = width
Put the value into the formula
[tex]160=2(8x+2+2x-12)[/tex]
[tex]160=20x-20[/tex]
[tex]x=\dfrac{160+20}{20}[/tex]
[tex]x=9[/tex]
We need to calculate the length of the dog park
Using equation (I)
[tex]l=8x+2[/tex]
Put the value of x
[tex]l=8\times9+2[/tex]
[tex]l=74\ feet[/tex]
Hence, The length of the dog park is 74 feet.
Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT. R S T a. What is the value of y? y=Type an integer or a decimal.)
Answer:
[tex]y = 6[/tex]
[tex]RS = 38[/tex]
[tex]ST = 39[/tex]
[tex]RT = 77[/tex]
Step-by-step explanation:
Given:
[tex]RS = 6y +2[/tex]
[tex]ST=5y + 9[/tex]
[tex]RT= 13y - 1[/tex]
Solving (a): The value of y
From the given parameters, we understand that
[tex]RT = RS + ST[/tex]
Substitute values for RS, ST and RT
[tex]13y - 1 = 6y + 2 + 5y + 9[/tex]
Collect Like Terms
[tex]13y - 6y - 5y = 1 + 2 + 9[/tex]
[tex]2y = 12[/tex]
Divide both sides by 2
[tex]y = \frac{12}{2}[/tex]
[tex]y = 6[/tex]
Solving (b):
The value of RS
Substitute 6 for y in [tex]RS = 6y +2[/tex]
[tex]RS = 6 * 6 + 2[/tex]
[tex]RS = 36 + 2[/tex]
[tex]RS = 38[/tex]
The value of ST
Substitute 6 for y in [tex]ST=5y + 9[/tex]
[tex]ST = 5 * 6 + 9[/tex]
[tex]ST = 30 + 9[/tex]
[tex]ST = 39[/tex]
The value of ST
Substitute 6 for y in [tex]RT= 13y - 1[/tex]
[tex]RT = 13 * 6 - 1[/tex]
[tex]RT = 78 - 1[/tex]
[tex]RT = 77[/tex]
Answer:
Guy who answered first is wrong it’s 5 not 6
Step-by-step explanation:
F(t)+-2t^2+5t, [1,6] What could this function model be used in real life?
Explanation:
It might represent the relative position of an object that has some initial velocity and constant acceleration. For whatever reason, the time period of interest is 1 to 6 seconds.
A car of m = 1200. kg collides with a tree while traveling 60.0 mph. The collision occurs over a time period of 0.0500 seconds. Determine the magnitude of the force exerted on the car as it comes to rest during the collision. (1 m/s = 2.24 mph) 1.58 × 10 3N 1.44 × 10 6N 3.60 × 10 3N 6.4331 × 10 5N
Answer:
6.4331 × 10 5N
Step-by-step explanation:
Given the following :
Mass (m) of car = 1200kg
Initial Velocity (u) of car = 60 mph
Final velocity = 0 ( comes to rest)
Velocity in m/s = 60 / 2.24 = 26.785 m/s
Time (t) = 0.0500
Using the relation :
Ft = m(v - u)
Where,
v = final velocity ; u = initial velocity ; t = time ; F = force
F*0.05 = 1200(26.785 - 0)
0.05F = 32142.86 - 0
F = 32142.86 / 0.05
F = 642857.14 N
F = 6.43 × 10^5 N
What formulae can be used to solve quadratic equation in two variables?
there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay his preformers for each show. a: write an expression that could predict the owners profit if "n" people buy tickets for a preformance b: if the profit is $1,213, how many people attend? c: If the same number of people attended but the owner's expenses changed to $375, would the profit increase or decrease and by how much?
Answer:
The correct answers are the following:
A) P=12n-275
B) 124
C) Decrease by $100
Step-by-step explanation:
A) P=12n-275 - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.
B) 1,213=12n-275 - Plug in the value for P ($1,213).
1,488=12n - Add $275 to both sides.
124=n - Divide both sides by $12.
n=124 - This the number (n) of people that attended.
C) P=12n-375 - Change the value for expense to $375.
P=12(124)-375 - Plug in the value for n (124).
P=1488-375 - Simplify and find the difference.
P=1,113 - This is your profit.
1,113-1,213=-100 - $100 reduction/decrease of profit (or -$100 to profit)
Hope this helps!
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour
Answer:
24miles/hourStep-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/tIme
Given parameters
Distance = 8miles
TIME = 20minutes
Convert minutes to hour
since 60minutes = 1hr
20 min = x
cross multiply
20 = 60x
x = 20/60
x = 1/3
Hence 20mins = 1/3 hr
Speed = 8miles/(1/3)hr
speed = 8 miles * 3/1 hr
speed = 24 miles/hr
Hence the object's speed in miles per hour is 24miles/hour
The object's speed in miles per hour is 24 miles per hour.
Distance = 8 miles
Time = 20 minutes = 20/60 = 1/3 hour
The speed of an object is calculated as:
= Distance / Time
= 8 ÷ 1/3
= 8 × 3
= 24
In conclusion, the object's speed in miles per hour is 24 miles per hour.
Read related link on:
https://brainly.com/question/24720712
A family wants to purchase a house that costs $185,000 . They plan to take out a $135,000 mortgage on the house and put $50,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $925.14 and with a 30-year mortgage their monthly payment would be $615.65 . Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. Savings = $
Answer:
4,592.4
Step-by-step explanation:
925.14×15 = 13,877.1
615.65x30=18,469.5
18,469.5
- 13,877.1
= 4,592.4
Answer:
$55,108.80
Step-by-step explanation:
15 year mortgage
925.14/month times 180 months =
$166,525.20
30 year mortgage
615.65/month times 360 months =
$221,634
$221,634 - $166,525.20 =
$55,108.80
So the difference between the 15 year mortgage and the 30 year mortgage is $55,108.80
motor de un Drone que tiene una potencia de de 25W. 1- ¿Cuál será la tensión de trabajo de dicho motor si tiene un consumo de 1,5A? 2- ¿Cuál será la resistencia que tenga dicho motor?
Step-by-step explanation:
Drone motor that has a power of 25W. 1- What will be the working voltage of said motor if it has a consumption of 1.5A? 2- What will be the resistance of said motor?
Power of drone motor is 25 W
Current flowing through the motor is 1.5 A
Power of an electrical appliance is given by :
P = VI
V = working voltage of the motor
[tex]V=\dfrac{P}{I}\\\\V=\dfrac{25}{1.5}\\\\V=16.67\ V[/tex]
Voltage of the motor is 16.67 volts
Let R is the resistance of the motor. Using Ohm's law to find it as follows :
V=IR
[tex]R=\dfrac{V}{I}\\\\R=\dfrac{16.67}{1.5}\\\\R=11.113\ \Omega[/tex]
Hence, this is the required solution.
Need help pppppppppplz
Answer:
83%
Step-by-step explanation:
The fraction shown is 5/6.
5/6= 0.83333333
0.83333333= 83%
Question 1 Determine if graph shows two quantities that are proportional to each other. A Proportional B Non-Proportional Why or why not?
it is not proportional because the line does not go straight from the origin. The origin is 0 and 0 in the bottom corner
During break 125 students went to canteen to purchase cake and ice-cream. If 80 students purchased cake, 57 purchased ice-creams, find the number of students who purchased both.41.
Answer: 12
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
Answer:
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
#15 how do i do it and how do i solve?!
Answer:
perimeter=8x+30
Step-by-step explanation:
(3x+15)+(3x+15)+(x)+(x)
^each side is represented within the parentheses
then, rearrange the terms so they are organized by like terms
3x+3x+x+x+15+15
8x+30
Paul takes a random sample of 50 students in his seventh-grade class and finds that 20 of the students in the sample prefer chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream? 40 80 50 200 I am confused. Please explain a step by step explanation
Answer:
80 students.
Step-by-step explanation:
Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.
I hope this helps you! ;)
I need to solve 12r-6s=t for r
Answer:
Simplifying
12r + -6s = t
Solving
12r + -6s = t
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '6s' to each side of the equation.
12r + -6s + 6s = 6s + t
Combine like terms: -6s + 6s = 0
12r + 0 = 6s + t
12r = 6s + t
Divide each side by '12'.
r = 0.5s + 0.08333333333t
Simplifying
r = 0.5s + 0.08333333333t
Step-by-step explanation:
sorry if this doesnt help
Answer:
r=s/2+t/12
Step-by-step explanation:
To find the answer, add 6s to both sides to get 12r=6s+t. Divide both sides by 12 to get the answer.