Answer:
They did not leave the correct amount. They left around a 22% tip
Step-by-step explanation:
15% = 0.15
68.25(0.15)
10.24
22% = 0.22
68.25(0.22) = 15.02
A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the cost for the bottom is $0.05 per square foot. Find the dimensions of a box with volume 20 cubic feet that has minimum cost.
Please answer in length , width and height in ft
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:
Please help me out !
Answer:
Both -1.5 and -3/2 will be halfway between -2 and -1 on the number line. 3/2 will be halfway between 1 and 2. -4/3 will be between -1.5 and -1.
Answer:
Well I can’t really do anything, the best thing I can tell you is that for each number, look at each option and Plot it from there.
You can turn all these into decimals since the number line is a whole number line and decimals are easier to work with in this situation then fractions. So you would have
-1.5, 1.5, -1.5, and -1.33333...
So -1.5 and -3/2 are the same so thats one plot, that would go between -1 and -2.
1.5 goes between 1 and 2
And -1.333...goes more closer to -1 between -2 and -1
A? B? C? Or D? Please help
Answer:
i believe it should be A
Step-by-step explanation:
Two cities are 64 miles apart. If the distance on the map is 314 inches, what is the scale of the map? Round to the nearest tenth of a mile if necessary.
Answer:
19.7
Step-by-step explanation:
64 miles converts to 3.25 inches on the map
64/3.25 = 19.7 mi/inch
Using the Pythagorean Theorem, fill in the table. [Assume a and b are the lengths of the legs and c is the length of the hypotenuse.]
A B C
25 60
[ Select ]
7
[ Select ]
25
[ Select ]
30
34
9 40
[ Select ]
Answer: It would be Second leg = 15
Step-by-step explanation:
From my understanding, you are supposed to find the second leg of the right triangle by Pythagoras theorem.
Hypotenuse: 25
One leg: 20
Second leg: x
Pythagoras theorem: hypotenuse² = adjacent² + opposite²
c² = a² + b²
25² = 20² + b²
b² = 25² - 20²
b² = 625 - 400
b² = 225
b = √225
b = 15
Therefore, the second leg of the right triangle is 15.
HELP ME PLEASEeeeeee
Answer:
i would say 48
Step-by-step explanation:
Answer:
The answer is 16.
Step-by-step explanation:
Formula: B*h÷2
Base = 8
Height = 4
8*4 = 32
32÷2 = 16
Rita bakes cakes to earn money she spent $30 for supplies to make 15 cakes which inequality shows how much Rita has to change per cake to earn a profit of a least $150. show work ill mark brainliest
Find the median of this set of data: 3, 8, 9, 2, 4, 7, 2
Answer:
2
Step-by-step explanation:
the midian is the middle
Given : 2, 3, 8, 9, 2, 4, 7, 2 .
To Find: Median of data .
Solution : Firstly arranging the data in ascending order we get , 2 , 2 , 3 , 4 , 7 , 8 , 9 . Here number of terms = 7 .
So the median will be the middlemost value.
Here the middle most value is 4 .
Therefore the median is 4 .
Can someone plz help me with these 3 math questions plz and plz explain how u got the answer
Answer:
1.102.08Step-by-step explanation:
Numbers A=1/2h(a+b) =(9.6+15.92)8÷2 =25.52×4 =102.08This diagram shows three small squares and two rectangles composed of 10 small squares.
Diagram of 3 small squares and two rectangles composed of 10 small squares.
a. Jada says this diagram can represent 230. What does a small square represent for Jada?
The small squares represent 30 (each one is equal to 10) if the 2 rows of squares represent 200, if the two rows of 10 squares only represent 20 becuase 10+10=20 then the squares equal 210 (each square equals 70)
Answer:
It is ten
Step-by-step explanation:
How long does it take an account with a principal of $600 to earn $90 in interest at a simple annual interest rate of 5%
Answer:
3 yrs
Step-by-step explanation:
1st year=600*1.05=630
2nd year=630*1.05=661.5
3rd year=661.5*1.05=794.57
A sphere has a radius of 5 feet. Find the volume of the sphere. Leave your answer in terms of pie. Then use 3.14 for pie and round the volume to the nearest 10th. Volume in terms of pie=? Volume in using 3.14=?
The solution is, The Volume is 523.6, of the sphere has a radius of 5 feet.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
Given,
r = 5 ft
pi = 3.14
Formula
the volume of sphere is:
V = 4/3 * 3.14 * r^3
Solution
V = 4/3 * 3.14 * 5^3
V = 4/3 * 3.14 * 125
V ≈ 523.59878
V ≈ 523.6 m^3
as, we get,
V≈523.59878
and 5 or more raise the score so the 9 makes the 5 into 6 and drop all of the other numbers.
Hence, The solution is, The Volume is 523.6, of the sphere has a radius of 5 feet.
To learn more on volume click :
brainly.com/question/1578538
#SPJ2
8b+ 5 +3a
select all true statements
pls help due in 10 mins :'''( n pls no links
Answer:
the first one..... the second one.... and the fourth one :) im not really sure but this is NY closest to right.
I also need help on this question. Please help me. (x+15) + (x+5) + (x+15) + (x+5)
Answer: 4x+40
Step-by-step explanation:
(x+15)+(x+5)+(x+15)+(x+5)
=x+x+x+x+15+15+5+5
=4x+15+15+5+5
=4x+40
please help me with this
what is x?
Answer:
27
Step-by-step explanation:
Which of the following is not true about the double box plot?
A - The data for the steel coaster is symmetric.
B - The data for the steel coaster is not symmetric.
C - The fastest steel coaster travels 135 miles per hour.
D - The slowest wooden coaster travels 60 miles per hour.
a box contains 2 red marbles , 5 green marbles and 5 blue marbles. If we choose a marble, then another marble without putting the first one back in the box, what is the probability of the first one being green and the other one being blue
Answer:
41% & 45%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
41/45
The number above the bar is the numerator: 41
The number below the bar is the denominator: 45
Divide the numerator by the denominator to get fraction's value:
Val = 41 ÷ 45
.......................
Answer:
is something supposed to be there
Step-by-step explanation:
Find the value of x and find whether the angles or supplementary or complementary.
Answer:
Both angles add up to 90° so they are complementary angles, x = 55
Step-by-step explanation:
=> We know that both angles add to 90°, so the equation will be;
(x - 20) + (x) = 90
=> Using algebra if solved all the way down, "x" will be 55.
Hope this helps!
Answer and explanation?
Letter C, E, and F: 2 8/10, 2.8, and 28/10
Step-by-step explanation: The shaded pillars/rectangles inside the squares account for the fractions. In this question, there are 10 pillars per square and 2 shaded in squares. Since there are two full squares, there are two wholes. In the third block, there are only 8 shaded. Because 8 out of ten are shaded, the fraction would be 8/10 (said as eight tenths). Overall, there are two wholes (the shaded squares) and 8/10 of a whole. Therefore, it is 2 8/10. 0.8 equals 8/10 (you can determine it by the way it is said ex: you would say “zero and ...” (and = decimal) “... eight tenths” or just “eight tenths” for .8, and 8/10 is said the same way). Since 2.8 and 2 8/10 are equal, 2.8 would also be an answer. 28/10 would be another correct answer because the two wholes/squares each have 10 pillars. In total, there are 20 pillars for the two wholes. If the 8/10 (8 out of 10) is added, the total would be 28/10. Hope this helps!
The area of the base of a trapezoid pyramid is (34ft squared) the pyramid is 12 inches tall. What is the volume of the pyramid
Answer:
the ft is 97.3 repeating or 1168 inches
Step-by-step explanation:
I am so bad at math so i need help
a) a+b=b+a
the commutative property of whatever number is it turned around
b) a * b= b*a
the commutative property of whatever number is it turned around
c) b+0=b
the additive property is whatever adds to zero is that number.
d) b*1=b
the multiplication property of one is whatever mutilply by 1 is that number.
The graph shows Marcia's walk.
Which statement best describes what Marcia could be doing on the interval from B to C?
A. Marcia is running home.
B. Marcia is walking home.
C. Marcia is turning a corner.
D. Marcia is stopping to rest.
Answer:
D. Marcia is stopping to rest
Step-by-step explanation:
At intervals B to C, we can see that Marcia's distance from home has not risen nor dropped. We can safely assume that she is not moving. Of course, time has not stopped, because the line continues to move from left to right. So, Marcia is likely stopping to rest for a moment.
Have a nice day, fam. Spread The Love.
(CORRECT ANSWER GETS BRAINLIEST)
According to the line graph below, what is the total number of tickets sold?A.145 B.140 C.130 D.40
Answer:
B) 140
Step-by-step explanation:
August 8: 20 tickets
August 10: 20 tickets
August 11: 25 tickets
August 12: 40 tickets
August 13: 35 tickets
Added all together, it's 140 tickets sold. So, Option B is correct.
Hope this helps! :)
THIRD TIME ASKING PLEASE HELP ME!!!
Answer:
10 C
Step-by-step explanation:
easy put 50 for F
Cog counted down from 2021 subtracting 7 repeatedly. How many positive multiples of three did he count?
Answer:
673.6? ur supposed to divide right?
hi pls help will give branliest to the first answer its a math question
Answer:
3x+6
Step-by-step explanation:
Okay so the reason behind this is the 3 x blocks then we have 6 one blocks which is how you would get answer.
Help ASAP! Will give brainliest!
Answer: D. 48in²
Step-by-step explanation:
[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(16)(6)\\A=48in^{2}[/tex]
A spinner has many equal sections of different colors. The probability that the spinner will not land on a
blue section is 34%. What is the probability that the spinner will land on a blue section?
A 34%
B 66%
C 68%
D can’t be determined
Answer:
B 66%
Step-by-step explanation:
100% (total) - 34% (P(not landing on blue)) = 66%
If I play for 15 minutes and ate for an hour then go play for an hour then rested for 20 minutes then went and played for 5 hours then sit at a camp fire for 2 hours then took a hour shower then slept for 12 hours how long did i play?
Answer:
5 hours and 15 minutes
Step-by-step explanation: