Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y +6
subtract 2y from both sides: -3 = 2y +6
subtract 6 from both sides: -9 = 2y
divide both sides by 2: -4.5 = y
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y + 6
+3 + 3
2y = 4y + 9
-4y -4y
-2y = 9
divide by -2 to get -4.5
Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again
Answer: 18 brainiest plz
Step-by-step explanation:
First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18
Then 9,18 so 18 days
Answer:
18
Step-by-step explanation:
Does anyone know this answer
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
Learn more about of Demand Function: https://brainly.com/question/25938253
A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.
Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.
(Choose 3 Choices)
Question 1 options:
a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2
a dilation by a scale factor of 2 and then a reflection across the y-axis
a clockwise rotation of 90 degrees and then a reflection across the y-axis
a translation 5 units down and then a dilation by a scale factor of 2
a translation 5 units down and then clockwise rotation of 90 degrees
a reflection across y-axis and then translation 5 units down
Answer: a c e are the correct ones i think
a b c d or d helpp pleas!
Answer:
The answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.
A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?
What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1
Answer:
-6
Step-by-step explanation:
6x + y = -1
y = -6x-1
slope which is m is -6
Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest
Number of business partners who started a business = 3
The total money they invested = 1200000
The ratio in which they invested = 2 : 5 : 3
Total number of parts = 2 + 5 + 3 = 10
Each part = 1200000 ÷ 10
Each part = 120000
Number of parts invested by one of the partners = 2
Money they invested = 120000 × 2
Money they invested = 240000
Number of parts invested by another partner = 5
Money another partner invested = 120000 × 5
Money they invested = 600000
Number of parts invested by the third partner = 3
Money invested by the last partner = 120000 × 3
Money they invested = 360000
Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .
Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2
Answer:
√10 + 2√2 + 3√5 + 6
2√2 + 2√5 + 10
Step-by-step explanation:
Given parameters:
Dimensions of the rectangle:
√2 + 3 and √5 + 2
Unknown:
Area and Perimeter of the rectangle = ?
Solution:
Area of a rectangle = L x W
Perimeter of a rectangle = 2 (L + W)
Input the parameters and solve;
Area = (√2 + 3)(√5 + 2)
= √10 + 2√2 + 3√5 + 6
Perimeter of a rectangle = 2(√2 + 3 + √5 + 2)
= 2√2 + 6 + 2√5 + 4
= 2√2 + 2√5 + 10
Help Please! Will mark brainliest and all of that
THX :)
(which one is from LEAST to GREATEST)
Answer:B.
Step-by-step explanation:
-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.
The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?
9514 1404 393
Answer:
7 TV ads4 radio adsStep-by-step explanation:
The audience per dollar is ...
Newspaper: 1000/$200 = 5/$
Radio: 800/$100 = 8/$
TV: 14000/$800 = 17.5/$
So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...
(7 ads)($800/ad) = $5600
With $5600 spent on TV ads, the remaining advertising budget is ...
$6000 -5600 = $400
The next most cost-effective medium is radio. The remaining $400 budget allows for ...
$400/($100/ad) = 4 ads
__
To maximize exposure, the advertising budget should be spent this way:
TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your answer in kilograms.
Answer:
1.575 kg
Step-by-step explanation:
75g x 21
1575 g
convert to kg
1.575 kg
Brainliest Appreciated!
Can someone tell me what to write of how I found the answer please?
Answer:
-16.22
Step-by-step explanation:
You take both numbers and subtract normally because adding a negative number and a positive number is the same as subtracting them without the signs so you do 22.45-6.23 and you get 16.22 and then you just put the negative sign in front and you get 16.22.
Could I please have BRAINLIEST?
4x = 7y + 5 what is the slope
Step-by-step explanation:
7y=4x-5
y=(4/7)x-5/7
slope is equal to m where m is
y=mx+b
in this case m is 4/7
so slope =4/7
the product of -4 and a number is 36 find the number?
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(
The equation of the line in the graph is y = ___ x + ___ .
I really need the help :) thx
Answer:
y= 1x-1 or y= x-1
Step-by-step explanation:
Make sure we know the equation y = mx +b
Remember M= slope, B= Y-intercept
We can see that the slope (rise over run) is 1 so we plug in the 1 for M
Y= 1x +b
Now we have to look for the Y-intercept which is -1
making our equation now: Y= 1x -1
Hope this helps!!
2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.
Alternatively, the gcf of 12 and 56 can be found using the prime factorization of 12 and 56:
The prime factorization of 12 is: 2 x 2 x 3.
The prime factorization of 56 is: 2 x 2 x 2 x 7.
The prime factors and multiplicities 12 and 56 have in common are: 2 x 2.
2 x 2 is the gcf of 12 and 56.
gcf(12,56) = 4.
63.9 x 7.0
Help plz
Answer:
447.3
Step-by-step explanation:
Answer:
447.3
Step-by-step explanation:
63.9
x 7.0
_____
447.3
what does they y represent in the equation y=mx+b
Answer:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?
Answer:
the answer would be d
Step-by-step explanation:
i took the test on edge2020
Answer:
D
Step-by-step explanation:
Edg 2020
Find the Unit Rate.
216 diving students to 12 instructors
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
Student A: Types 32 words in 1 minute
Student B: Types one word in 0.05 minutes
Who types faster
Answer:
student A types faster
Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.
Solve The equation mx + 3b = 25 for x *
what is 37737332732.83838-388733883.6 equal?
Answer:
4838388.34?
Step-by-step explanation:
Factor completely n2+3n+2
Please I need some answers a few is fine
On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533
Answer:
There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks
Help me please! I need help ASAP.
Answer:
the answer is B
Step-by-step explanation:
I need help !!
Don’t understand it..
Answer:
d
Step-by-step explanation:
Answer:
B. h(x)=(x+1) (10x-1)
Step-by-step explanation:
B. h(x) = (x+1) (10x-1)
h(x)=10x^2+10x-x-1
h(x)=10x^2+9x-1
Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)
Answer:
y = 3x+7
Step-by-step explanation:
The standard form of equation in slope-intercept form is:
y = mx+c
m is the slope
c is the intercept
Given the coordinates (-3, -2) and (3, 16)
Get the slope;
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
Slope = 16-(-2)/3-(-3)
Slope = 16+2/3+3
Slope = 18/6
Slope = 3
Get the Intercept
Substitute one of the points in the formula:
Using the coordinate (-3, -2)
y = mx+c
-2 = 3(-3)+c
-2 = -9 + C
c = -2+9
c = 7
Get the equation of the line by substituting m and c into the equation y = mx+c
y = 3x+7