Answer:
im pretty sure its infinite solutions
Step-by-step explanation:
2. Danny goes to McDonald's with her friends. They buy 3 Big
Macs, 2 Chicken Sandwiches, 5 French Fries and 4 Cokes.
McDonald's also charges 8.25% sales tax. How much will Danny
and his friends pay for the meal, including taxes. If Danny pays
the cashier $100, how much change will he get back?
A 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy.a. If the total cost isc = 5(x^2 + 4xy) + 10xy,what values of x and y will minimize it?b. Give a possible scenario for the cost function in part (a).
Answer:
The values of x and y that will minimize the cost is 15 ft and 5 ft respectively and the minimum cost will 3,375
Step-by-step explanation:
With a 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water, x is the length, y is the height;
x^2*y = 1125
y = 1125/x^2 ----(1)
The total cost of c = 5(x^2 + 4xy) + 10xy
Then,
c = 5(x^2 + 4x*(1125/x^2)} + 10x*(1125/x^2)
c = 5x^2 + 22,500/x + 11,250/x
c = 5x^2 + 33,750/x
To minimize the cost of c, find the derivatives of c; c'
c' = 10x - 33,750/x^2
c' = (10x^3 - 33,750)/x^2
c'(x) = 0; 10x^3 = 33,750
x = ³√33,750 = 15
x = 15; y = 1125/x^2
y = 1125/15^2 = 5
(x,y) = (15,5)
c = 5x^2 + 33,750/x
c = 5*15^2 + 33,750/15 = 3,375
The values of x and y that will minimize it is 15 ft and 5 ft respectively and the minimum cost will 3,375
The values of x and y that will minimize the cost is 15ft and 5ft. The minimum cost is 3,375
We have volume of a rectangular tank = 1125 ft^3
Side of a rectangular tank = x ft and
Length of a rectangular tank =y ft
So, [tex]x^2y = 1125[/tex]
[tex]y = \frac{1125}{x^2} ...(1)[/tex]
The total cost of rectangular tank (c) = [tex]5(x^2 + 4xy) + 10xy[/tex]
[tex]c = 5(x^2 + 4x(\frac{1125}{x^2} ) )+ 10x(\frac{1125}{x^2} )\\c = 5x^2 +\frac{22,500}{x} + \frac{11250}{x} \\c = 5x^2 + \frac{33750}{x}[/tex]
Differentiating it w.r.t x, we get
[tex]c' = 10x - 33,750/x^2\\c' =\frac{10x^{3}-33750 }{x^{2} } \\c'(x) = 0\\10x^3 = 33,750\\x = \sqrt[3]{33,750} \\ = 15\\x = 15; y = \frac{1125}{x^2} \\y = \frac{1125}{15^{2} } \\= 5\\(x,y) = (15,5)\\c = 5x^2 + \frac{33750}{x} \\c = 5(15)^2 + 33,750/15 \\= 3,375[/tex]
The values of x and y that will minimize the cost is 15 ft and 5 ft and the the minimum cost is 3,375.
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The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean.
Which function is represented by the graph
Answer: y = -2|x| + 1
Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.
help pls due today i am just trying to get good grades
Answer:
c
Step-by-step explanation:
because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs
ILL MARK BRAINLIST!!!
Answer:
its 2
Step-by-step explanation:
Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.
Given that,
An expression [tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]
To find,
The value of above expression.
Solution,
We have,
[tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]
The LCM of 4 and 5 is 20.
[tex]\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}[/tex]
So, the required answer is [tex]\dfrac{-7}{20}[/tex].
Watch help video
What is the surface area of the cylinder with height 2 km and radius 8 km? Round
your answer to the nearest thousandth.
Answer:
I think its 502.65 km 2
Step-by-step explanation:
(This is what I think, I might be wrong)
Answer:
502.655km
Step-by-step explanation:
A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal
Answer:
the answer would be 70/100 in fraction form, 70% in percent, and (i believe) 0.7 min decimal form. Hope this helps!
Answer:
70 out of 100 is the ratio 70 Over 100 apostrophe , so it represents 70%. 70 Over 100 can be reduced by dividing the numerator and the denominator by 10 to get the reduced fraction 7 Over 10. Dividing 7 by 10 results in the decimal equivalent 0.70.
Step-by-step explanation:
p-1÷p=5 then p2-1÷p2=? finda the value of p
Answer:
10
Step-by-step explanation:
since everything is doubled
we just do 5 multiplyed by 2
In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?
Please help me out.
Answer:
7/40
Step-by-step explanation:
7 balls are green-->numerator
7 balls out of 40( in total) are green.
7/40
This means that out of every 40 balls picked, 7 of them should be green.
Write the point-slope form of the equation of the line through the given point and slope.
through: (1, -2), slope = -6
y - 2 = -6 (x + 1)
y - 2 = 6 (X + 1)
y + 2 = -6 (x - 1)
y + 2 = 6 (x - 1)
Answer:
[tex]y +2 =-6(x - 1)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
Required
Determine the point slope equation
This can be determined using the following formula:
[tex]y - y_1 =m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
So, we have:
[tex]y - (-2) =-6(x - 1)[/tex]
This gives:
[tex]y +2 =-6(x - 1)[/tex]
Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]
A 3-column table with 3 rows. Column 1 is labeled Seller with entries wholesaler, Distributor, Retail Store. Column 2 is labeled markup with entries 0 percent, 100 percent, 80 percent. Column 3 is labeled Selling Price with entries 80 cents, A, B. A distributor buys packs of trading cards from a wholesaler for $0.80 each. The distributor marks up the cards by 100% before selling them to stores. How much does the distributor sell each pack of cards for? The stores then mark up the cards another 80% before selling them to customers. How much does the retailer sell a pack of cards for? A = B =
Answer:
Step-by-step explanation:
Answer:
$1.60
$2.88
Step-by-step explanation:
To find the selling price of the distributor and the retailer, we first need to find how much the distributor sells each pack of cards.
To find the selling price we use the formula.
Selling Price = Cost + Markup
Cost = $0.80
Markup rate = 100% or 1
Selling Price = 0.80 + (0.80*1)
Selling Price = $1.60
So the distributor sells each pack of cards at $1.60 to the retailer.
Now to find the selling of the retailer, we need to use the selling price of the distributor.
Cost = $1.60
Markup rate = 80% or 0.80
Selling price = 1.60 + (1.60 * 0.80)
Selling price = $2.88
So the retailer sells each pack of cards at $2.88 to the customers.
Answer:
A = $1.60
B = $2.88
Step-by-step explanation:
I did the work on brainly and got it right
Hope this helps :D
help please!!! PLEASE HELP!
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
Corresponding segments are proportional.
2x/12 = (x+4)/9
18x = 12(x +4) . . . . . multiply by 9·12
6x = 48 . . . . . . . . . . subtract 12x
x = 8 . . . . . . . . . . . . divide by 6
Figure ABCD is a rectangle. Find the value of x. 9x - 6 3x + 12 x= [?]
Answer:
x=3
Step-by-step explanation:
9x-6=3x+12
6x=18 |:6
x=3
Plz Help fast WILL MARK BRAINLIEST
4 quarts of organic grapes cost $20 what is the cost per quart
(2 + 9) (3 ÷ 4) answer this
Answer:
Fraction- 33/4
Decimal- 8.25000
Step-by-step explanation:
Hope this helps!
Brain-List?
Find f(-4) if f(x) = -3x+5
Hugo and Viviana work in an office with ten other coworkers. Out of these 12 workers, their boss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed
Answer:
450
Step-by-step explanation:
The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons
[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]
The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together
[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]
So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].

A and B are equidistant from the line l. How many circles can be drawn with their centres on line l and that pass through both A and B?
A. 1
B. 2
C. 3
D. 4
E. >10
Answer:
just one.. so A
Step-by-step explanation:
Chloe invests money in an account paying simple interest. She invests $200 and no money is added or removed from the investment. After one year, she has $204. What is the simple percent interest per year?
Answer:
2%
Step-by-step explanation:
Chloe's simple interest for 1 year is $4. You can get this by subtracting the amount she invested from the total amount she got after one year.
$204 - $200 = $4Now that we know the simple interest, we can now get the simple interest rate or simple percent interest per year by dividing $4 by $200.
$4 ÷ $200 = 0.02Let's change 0.02 into a percentage.
0.02 x 100 = 2%This means that every year, her investment will earn a 2% simple interest.
Answer:
2%
Step-by-step explanation:
Please help hurry. Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line
Answer:
Between -2 and 1 is -0.5 and 0.5
Below -2 is -4.5 and -2.5
Above 1 is 4 and 1.5
Step-by-step explanation:
Can i have brainliest?
Answer:
Below -2: -4.5 & -2.5
Between -2 & 1 : -0.5 & 0.5
Above 1: 4 & 1.5
Step-by-step explanation:
Hopefully that helps you guys!!!
A bag of skittles contains green, orange, red, and yellow candies. 2/3 of the bag contains green and orange candies and 1/12 of the bag is red candies. What is the probability of picking out a yellow skittle from this bag?
Answer:
4/12
Step-by-step explanation:
Fractions finding the whole
Answer:
top left: 1/3
top right: 16
bottom left: 1/3
bottom right: 15
Step-by-step explanation:
Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0,4), and point F is at (1,3). What are the coordinates of point G?
Please help ASAP.. I’m really stuck >.< Any help is appreciated! (70 Points!!)
Answer:
1,4
Step-by-step explanation:
0,4 1,3 has to be farther
Answer:
(4,0)
Step-by-step explanation:
Answer correct plz if u steal points ill report
Answer:
I my knowledge
option D y=6x
Step-by-step explanation:
and I am 100% sure you
Answer:
y=6x
Step-by-step explanation:
List the angles of the triangle in order from largest to smallest.
Question 1 options:
A)
∠B, ∠C, ∠A
B)
∠A, ∠B, ∠C
C)
∠A, ∠C, ∠B
D)
∠C, ∠B, ∠A
Answer:
Step-by-step explanation:
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
А: 1/34
B:1/16
C:8/17
D: 8/9
Answer:
I would go with c
Step-by-step explanation:
if it is incorrect sorry
A Super Happy Fun Ball is dropped from a height of 4 feet and rebounds 4 5 of the distance from which it fell. How many times will it bounce before its rebound is less than 1 foot
Answer:
More than 6.21 times
Step-by-step explanation:
The common ratio [tex]r=\dfrac{4}{5}[/tex]
Distance of first bounce
[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]
Second bounce
[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]
n bounce
[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]
Now the nth bounce will be less than 1 feet
[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]
Applying logarithms on both sides we get
[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]
The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.
So,
[tex]n>6.21[/tex]
Hence, the number of bounces is more than 6.21 times.