Answer:
Let x represent the edge dimension of the square base in feet. Then the area of the base or lid is x², and the height of the box is 5/x². Total cost is then ...
... cost = cost of lid + 4×(cost of one side) + cost of bottom
... cost = 0.2x² + 4×(0.2x(5/x²)) + 0.5x²
... cost = 0.7x² + 4/x
We can differentiate this with respect to x and set that derivative to zero. This will give us the x-value at which the cost is a minimum.
... d(cost)/dx = 1.4x -4/x² = 0
... x³ = 4/1.4
... x = ∛(20/7) ≈ 1.419
Then the height of the box is
... height = 5/x² ≈ 5/2.01351 ≈ 2.483
The box is 1.491 ft square and 2.483 ft high.
______
The average cost of the top and bottom is (0.2 +0.5)/2 = 0.35 per square foot. The overall cost will be minimized when the average cost of each face is the same. That is, the areas of the lateral faces will be equal and must be 0.35/0.2 = 1.75 times the area of the top or bottom to make the average cost of a lateral face equal to that of the top or bottom. Hence, the base will be square, and the box will be 1.75 times as high as it is wide or deep. The base edge dimension is then ∛(5/1.75) ≈ 1.419 ft.
Step-by-step explanation:
Gallon
3
2
1
OC
2
5
6
2
8
10
Minutes
The graph represents the gallons of water (/) per minute (x) dispensed by a shower head. Which statements are correct?
A)
Point (0,0) represents the unit rate,
8)
Point (5, 1) represents the unit rate,
Point (1,5) represents the unit rate.
D)
7.5 gallons of water are used in 1.5 minutes,
Answer:
I'm gonna base this off of gallon being y and minutes x
Step-by-step explanation:
it dosnt say it starts with any water in it and I have no numbers to base this so I'm gonna say that it passes through the origin and unit rate depends on how many gallons a minute just take 2 minutes and 1 gallon right well that would be .5 for unit rate hope this helps you
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answer:
The equation is: [tex]5c-2=9[/tex]
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
[tex]5c-2=9[/tex]
Five friends equally share 20 strawberries. How many strawberries does each friend get
Answer:
each will get 4 strawberries
Step-by-step explain:
20÷5=4
PLS HELP! (Picture included)
A slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
cm²
Rectangular pyramid intersected horizontally by a rectangle. The front edge of the base of the pyramid is labeled 2 centimeters, and the right edge is labeled 4 centimeters. The height of the pyramid is labeled 8 centimeters. The part of the larger rectangle that intersects the pyramid is a smaller gray rectangle. The front side of the smaller rectangle is labeled 1 centimeter, and the right side is labeled 2 centimeters.
Answer:
The area of the cross section is 2 cm^2.
Step-by-step explanation:
If I am understanding your problem correctly, we are just looking for the area of the grey rectangle, which is the cross-section.
The length and width of this gray rectangle are already given to us. They are 1 and 2. Just multiply them to get the area.
1 x 2 = 2 cm^2
Answer these two questions pls (ill give u brainly)
Answer:
1a)81 b)54 c)27 d)0
Step-by-step explanation:
for number one the answer is 27 x what is given
Answer:
a) 8; b) 12; c) 6; d) 130.3 cmStep-by-step explanation:
You want the number of small cubes painted on 3, 2, 1, and 0 faces if the outside surface of a cube comprised of 27 small cubes is painted. You also want the height of 200 L of water in a tank of 50 cm radius with a 20 cm radius hole in the middle.
1. CubesThe number of cubes painted on 3 faces is the number of corner cubes: 8.
The number of cubes painted on 2 faces is the number of center-edge cubes, 12.
The number of cubes painted on one face is the number of center-face cubes, 6.
The number of cubes with no painted faces is the number of cubes buried inside, 1.
The painting is ...
3 faces: 82 faces: 121 face: 60 faces: 1The total is 27, as it should be.
2. HeightThe area of the base of the part holding water is ...
π(50² -20²) = π(2500 -400) = 2100π cm²
The height of 200 L of water will be h, where the volume of the figure is ...
V = Bh
V = (2100π cm²)h = 200·1000 cm³
h = 200/(2.1π) cm ≈ 30.3 cm
The height of the water in the tank will be about 30.3 cm.
__
Additional comment
When working with volumes in liters, it is often convenient to work with dimensions in decimeters (dm), where 1 dm = 10 cm. This is because 1 dm³ = 1 L.
Here, the area is π(5² -2²) = 21π dm², so the height is (200 dm³)/(21π dm²) ≈ 3.03 dm = 30.3 cm.
<95141404393>
Please helppppp ASAP
Answer:
for every 1 packet you get 10 plants
for every 1 pound there are 5 cups
Step-by-step explanation:
Paulo has a receipt from a restaurant. The total amount is blurred, but he knows he left a $4.25 tip, which was 20% of the cost of the meal. How much did his meal cost? How much did he spend in total?
No random answers pls
Answer:
21.25 and a total of 25.50
Step-by-step explanation:
multiply 4.25 by 5 to get the meal cost and add the 4.25 for the tip
Maxwell invested a total of $100,000. He invested his money in three different accounts. He invested $35,000 at 10% annual interest rate, $42,000 at 8% annual rate, and the remainder at 14% interest rate. How much interest did Maxwell receive in one year?
Step-by-step explanation:
Sure! Here's the step-by-step calculation:
1. Calculate the interest earned on the first investment:
$35,000 * 10% = $3,500
2. Calculate the interest earned on the second investment:
$42,000 * 8% = $3,360
3. Calculate the amount invested in the third account:
Total investment - (First investment + Second investment)
$100,000 - ($35,000 + $42,000) = $23,000
4. Calculate the interest earned on the third investment:
$23,000 * 14% = $3,220
5. Add up the interest earned from all three investments:
$3,500 + $3,360 + $3,220 = $10,080
Therefore, Maxwell received $10,080 in interest in one year.
Hello please help me with this ASAP! :)
Ignore the chosen answer lol
Answer:
2/12
Step-by-step explanation:
Because there are 6 tile total but he wants two put 2 numbers out of the bag twice..... you get the 12 because he pulls a number out twice and since he has 6 and then does it again it adds to 12 so the answer would be 2/12
The average surface temperature of a red giant star is much cooler than that of a white dwarf star. Suppose a white dwarf has a surface temperature of 1.2 x 10*4 Kelvin (abbreviated K), which is 4 times the temperature of a red giant star. WHat is the surface temperature of the red giant star?
Answer: 3000 Kelvin
Step-by-step explanation
Let the surface temperature of the red giant star = x
Surface temperature of a white dwarf star = 4x
4x = 1.2 × 10^4 K
= 1.2 × 10,000 K
= 12,000 K
4x = 12,000 K
x = 12000 ÷ 4
= 3,000 K
Answer:
soorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry
Step-by-step explanation:
Find the value of k. Give your answer in degrees.
Answer is 25 degrees.
Answer:
k=12
Step-by-step explanation:
Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.
2 sides are congruent, leaving bottom left corner angle also 84 degrees.
Write an equation to solve for k:
84+84+k=180
simplify
168+k=180
subtract 168 from both sides
k=12
Hope this helps! :)
File attached Please help! Show work
This is angles that share a vertex!
Answer:
Step-by-step explanation:
Let me look it up 8
which is equivalent to da ratio of 225:50
a. 4:1
b 9:200
c 175:1
d 9/2
e 2/9
Answer:
9/2
Step-by-step explanation:
Please help me on this I do not understand
I need help with all of It pls
Answer:
can you retake it
the ans is the 3 one
Step-by-step explanation:
Explain two different ways to show the possible choices for a car with 6 cylinders or 4 cylinders and with the colors red, blue, green, or white.
Answer:
Step-by-step explanation:
khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/tree-diagram-to-count-outcomes
Eve wants to buy a balance beam. The original price is $388. How much will Eve pay if she buys it during the sale? It was on sale for 75%!
Answer:
Eve will pay $97 if she buys it during the sale.
Step-by-step explanation:
price during sale = original price - (original price * discount percentage)
disc. % = 75%
75% = 0.75
pr. = 388 - (388 * 0.75)
pr. = $97
Answer:
97$
Step-by-step explanation:
Five friends equally share 20 strawberries. How many strawberries does each friend get
PLEASE PLEASE HELP (DUE ASAP)! I was struggling a lot with this and I was hoping for an accurate answer! Name the correct angle using the given diagram
Answer:
Alright Ima jsut say common phrases and do em at the end
Veritcal angles:
Well these angles are equal and always across form each other. Too determine if its a vertical angle, if you see an “x” Like shape, you can draw a maximum of two lines, one horizontal, one vertical. The number those lines tough are vertical the fore the SAME.
Complementary angles:
These are 2 or more angles that add up to 90 degrees. You can have like 20 different angles with different numbers, as long as they add up to 90 degrees. 90 degrees is a right angle so no matter what, it has to equal 90 degrees from all angles.
Supplementary angles:
These are 2 or more angles that add up to 180 degrees or a straight line more common. As long as all the angles add up to 180, its supplementary.
Adjacent angles:
These are angle show lie next to each other. They don’t have anything special, their just next to each other. Ima use an example form the graph. Take for example the angle RNX. XNE is adjacent, its lies right next to it. Another Example could be KND. DNE is adjacent, right next to it.
1) ANR
2) KNE
3) KND
4) RNX
can you do this one pls
Answer:
it is 3.00
Step-by-step explanation:
as you can see first we define the variables
1. the y axis(vertical) represents the cost of peaches while the x axis (the bottom one) represents the number of pounds
2. then we find a place where the line crosses the grid but exactly on the corner of the box
3. when we have found our point which is (2,6) it means that every 2 pounds of peaches is 6 dollars
4. divide 6/2 and you get 3 dollars!
Moira mailed two birthday presents in a box weighing 1/4 pound. One present weighed 1/5 pound. The other present weighed 1/2 pound. what was the total weight of the box and presents?
Answer:
19/20LBS
Step-by-step explanation:
(CORRECT GETS BRAINLIEST) From the information in the graph, what is the mode number of books the girls read? A.3 B.4 C.5 D.6
The mode number of books the girls read is 5.
What is the mode?The mode is a number which appears most often in a set of numbers and in a data set.
Given the question above, we need to find the mode number of books the girls read.
Since 5 girls read the books, we can conclude that the mode is 5.
Thus. the mode number of books the girls read is 5.
Learn more about the mode at:
https://brainly.com/question/30093741
PLZZZ help with this
Answer:
I D K A and C but B is 776 and 29 D is 101 and 8 I hope i helped
Step-by-step explanation:
(b) 5x^2+1
5(5)^2+1
25^2+1
775+1
776
x^2+4
5^2+4
25+4 29
(d) 5x^2+1
5(2)^2+1
10^2+1
100+1
101
x^2+4
2^2+4
4+4
8
IF IT IS GOOD THEN I WILL GIVE BRAINLIEST!!!
Answer:i dont know. Maybe try khan academy? Good lucK!:)
Step-by-step explanation:
The final bill for dinner, including tip, was $172.50. If the diners tipped 15%, what was the bill before the tip? Write just the value that represents your answer.
Answer: The bill was $150 without tip and 172.50 with tip
Step-by-step explanation:
Two business partners decided to borrow $30,000 start-up money for their business. One borrowed a certain amount at a 16.5% interest rate and the other one borrowed the rest of the money at a 12.5% interest rate. How much money did each business partner borrow if the total interest amount at the end of the year was $4150?
Answer:
Step-by-step explanation:
Let's assume the first business partner borrowed x dollars and the second partner borrowed (30000 - x) dollars.
The interest earned by the first partner at a rate of 16.5% is (x * 0.165), and the interest earned by the second partner at a rate of 12.5% is ((30000 - x) * 0.125).
According to the given information, the total interest earned by both partners is $4150. So, we can write the equation:
(x * 0.165) + ((30000 - x) * 0.125) = 4150
Now, let's solve this equation to find the values of x.
0.165x + 0.125(30000 - x) = 4150
0.165x + 3750 - 0.125x = 4150
0.04x = 400
x = 400 / 0.04
x = 10000
Therefore, the first business partner borrowed $10,000 at a 16.5% interest rate, and the second partner borrowed (30000 - 10000) = $20,000 at a 12.5% interest rate.
Let's call the amount borrowed by the business partner at 16.5% "x" and the amount borrowed by the other business partner "y".
We know that the total amount borrowed is $30,000, so:
x + y = $30,000
We also know that the interest earned by the first business partner is 16.5% of x, and the interest earned by the second business partner is 12.5% of y.
So the total interest earned for the year is:
0.165x + 0.125y = $4150
We now have two equations with two unknowns, which we can solve for x and y.
First, let's isolate one of the variables in the first equation:
x = $30,000 - y
Now we can substitute this expression for x into the second equation:
0.165($30,000 - y) + 0.125y = $4150
0.165($30,000 - y) + 0.125y = $4150
$4,950 - 0.165y + 0.125y = $4150
Combine like terms:
-0.04y = $4150 - $4,950
-0.04y = -$800
Divide both sides by -0.04 to isolate y:
y = -$800 / -0.04
y = $20,000
Now that we have the value of y, we can substitute it back into the first equation to find x:
x + $20,000 = $30,000
x = $30,000 - $20,000
x = $10,000
So, the amount borrowed by the first business partner is $10,000, and the amount borrowed by the second business partner is $20,000.
Last question of the day hopefully : )
Answer:
E < F < G
Step-by-step explanation:
hope this helps
grades on a science test are shown in the box plot below.
Find the correct data that the box plot represents.
A) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
B) 55, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 95
C) 78, 81, 45, 75, 76, 91, 100, 63, 80, 87, 91, 95
D) 78, 81, 89, 75, 76, 91, 100, 63, 80, 87, 91, 110
Answer:
d
Step-by-step explanation:
Kay is using cone-shaped party hats as popcorn holders. The party hats have a diameter of 10 inches and a height of 9 inches. How many cubic inches of popcorn will they hold? Use 3.14 for pi. Round your answer to the nearest Cubic inch.
in his first four years of coaching football, Coach Delgato's team won 5 games the first year, 10 games the second year, 8 games the third year, and 7 games the fourth year. How many games does the team need to win the fifth year to have an average of 8 wins per year?
The team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To find out how many games the team needs to win in the fifth year to have an average of 8 wins per year over the five-year period, we can use the following equation:
(5 + 10 + 8 + 7 + x) / 5 = 8
Here, x represents the number of games the team needs to win in the fifth year.
To solve for x, we can simplify the equation:
(30 + x) / 5 = 8
Now, we can cross-multiply:
30 + x = 40
Subtracting 30 from both sides of the equation, we get:
x = 10
Therefore, the team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To learn more about finding averages,
https://brainly.com/question/130657
https://brainly.com/question/28798526