Answer:
7.17 by 7.17 by 3.58
Step-by-step explanation:
Since the rectangular box is square based, the total surface area is expressed as;
S = x²+2xh+2xh (the top is opened)
S = x² + 4xh ..... 1
x is the side length of the square
h is the height of the box
Also the volume V = x²h
Given V = 184
184 = x²h
h = 184/x² .... 2
Substitute 2 into 1;
S = x² + 4xh
S = x² + 4x(184/x²)
S = x² + 4(184/x)
S = x² + 736/x
Since we need a dimension that will minimize the surface area of the box then, dS/dx = 0
dS/dx = 2x -736/x²
0 = 2x -736/x²
multiply through by x²
0 = 2x³- 736
2x³ = 736
x³ = 736/2
x³ = 368
x = ∛368
x= 7.17 in
Since V = x²h
184 = 7.17²h
h = 184/7.17²
h = 184/51.4089
h = 3.58 in
Hence the dimensions of the box should be to minimize the surface area of the box are 7.17 by 7.17 by 3.58
Jose is trying to decide how many friends he can invite to his roller skating party. Skate rentals cost $2.50 per person, including Jose, and he knows that 3 adult chaperones plan to skate.
How many friends can Jose invite if he wants to spend only $50.00 total on skate rentals?Jose can invite _______ friends.
Answer:
Step-by-step explanation:
himself and three chaperones=4
4*2.50= 10.00
50.-10.= 40 left
40/2.50 rental= 16
So he has enough for 16 friends, 3 chaperones and himself.
check:
20 people *2.50= 50.00
pls answer I give brainliest
Answer:
Its c
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
d= 99 e= 81 f= 99
Step-by-step explanation:
Answer:
d = 90
e = 81
f = 99
Step-by-step explanation:
First, find e because you can figure it out by vertical angles. 81 and e are vertical so e is 81. To find f, you subtract 180 by 81 because it's a straight line which is 99. So f is 99. To find d, you can use the right angle next to it. 180-90 is 90. So d is 90.
- 4x + y = 6
- 5x - y = 21
The solution is
Answer:
x = -3
y = -6
Step-by-step explanation:
[tex]y = 6 + 4x \\ - 5x - (6 + 4x) = 21 \\ - 9x - 6 = 21 \\ - 9x = 27 \\ x = - 3 \\ y = 6 + (4 \times - 3) = - 6[/tex]
1.2x minus 4y equals 28. What does y equal.
Answer:
y = 1.2/4 x + 7
Step-by-step explanation
1.2x - 4y =28
4y = 1.2x + 28
y = 1.2/4 x + 28/4
y = 1.2/4 x + 7
*
URGENT PLS ANSWER: Write the ratio of students to adults in simplest form.
Seventh-Grade Field Trip
Students
180
Adults
24
Buses
4
Answer
15 to 2
Step-by-step explanation:
What is y?
And please show work!
Answer: 97 degrees
Step-by-step explanation:
I drew some letters on your attachment to make it easier for you to understand.
To find angle y you need to find angle x first, you do that by doing (180=A+B+C) and you solve for A which is x degrees (A=180-B-C)
When you use angle C you must combine the 26 degrees and 55 degrees because if you use only 55 let's say, that would be the angle for triangle CDB, and we need C for triangle ABC.
So: A=180-42-81 -> A=57 degrees
Now you know Angle A (57 degrees) and Angle ACD (26 degrees)
All you have to do to find Y is to do: y=180-x-26
So y would be: 97 degrees
Keep in mind this is one of two solution methods I can see, if you want me to show you the other one as well just tell me in the comments, you are welcome.
Find the percent increase from 2005- 2010
Find the percent of increase:
Year= 2005 2010
Population
(millions) 3.2 5.6
The percent of increase is? (PLZ HELP)
Answer:
2.4 more.
Step-by-step explanation:
The area in square feet of a rectangular field is x^2-100x+2400. The width, in feet is x-40. What is the length, in feet?
Answer:
x-60
Step-by-step explanation:
You have to factor out the quadratic.
You know that one of the factors is x-40.
To factor:
Find a number that when added to -40, gives you -100, and also when multiplied, gives you 2400.
That such number is -60.
Add an x before it, and you get (x-60)
ASAP 25 POINTS WILL MARK BRAINLIEST MULTIPLE CHOICE
Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x,y)→(x−2, y)
Question 1 options:
No, the preimage will be smaller
Yes, this is a translation which doesn't change the pre-image size
No, this is a translation which will change the pre-image size
Yes, this is a reflection which doesn't change the pre-image size
Answer:
Yes, this is a translation which doesn't change the pre-image size
Step-by-step explanation:
How should I explain how I got my answer?
Answer:
What is meant by "Explain your answer?"
On tests & problem sets students are often asked to explain the reasoning behind their answers. They are often frustrated and/or confused by “explain.” What & why are they supposed to explain? Here is one answer:
It isn't enough to get the right answer -- you have to be able to explain how you got it. To be sure you get enough practice at explaining yourself, it pays to discuss the questions with your fellow students and/or to write out explanations of your reasoning. You need to both
(1) Include the right facts, principles, etc., AND
(2) Explain the logic that you used to solve the problem. How did you get from the facts to the answer?
It is not sufficient to pile up unselected facts (even if they are correct), OR just to state the facts (even if they are the right ones), without explaining how they relate to the problem at hand, OR to just explain the logical train of thought (even if it is correct), without any specifics.
That's what you shouldn't do. What should you aim for??
Try to explain as if you were talking to a fellow student in the class who is generally intelligent, prepared, etc., but can't figure out this particular question. In other words, explain your reasoning step by step. Don't just repeat all the related facts in the book or notes--try to pick out the important, relevant points, put them in logical order, and explain (or diagram) how one leads to the next. (In other words, pretend you are writing a simple* answer key.)
*Note: The keys provided after each exam or problem set are usually quite complex and go beyond what we expect from an individual student. The posted keys tend to be so long and involved because they include not only correct answers (& explanations) but also explanations of common student misconceptions.
How to Get the Most out of Explaining
When you explain things to yourself, or to others, try not to use pronouns. Use nouns instead. This may sound silly, but it really helps you to be sure that you understand what you are saying. If you use pronouns or vague terms you can fool yourself into thinking you understand when you really don't. An example: Suppose you say "The gene is transcribed and it goes to the cytoplasm and is translated, which uses tRNA and mRNA." What do you mean by it and/or which? Is it the gene or the mRNA? Does which refer to translation or transcription? Sometimes you know, and you are just using shorthand. But sometimes you don't know, and you don't even realize it until you are forced to pick the right terms to replace "it" and "which." So try to be as specific as possible instead of as vague and as general as possible. Being specific has multiple advantages. It helps you to learn, it helps listeners understand what you are saying, and it helps graders on exams know that you really understand what you are talking about.
A.How much flour is used with 6 eggs? B.How many eggs are used with 15 cups of flour?
Use algebraic strategies to solve sqrt(2x + 3) = x . How many solutions did you find? Which strategies did you use?
Answer:
itsx= -3
Step-by-step explanation:
how to i find the missing 2 angles
Answer:
therefore, x is 71 degrees
Step-by-step explanation:
we know that the exterior angle is 142 degrees.
we also know that we have to find x, which is labeled two times as an interior triangle (in the same triangle), so they must be the same degree.
there are different ways to solve this but the easiest way is this:
exterior angle = opposite interior angle 1 + opposite interior angle 2
142 degrees = x + x
142 degrees = 2x
142/2 = x
x = 71
therefore, x is 71 degrees
Jordy bill at a restaurant is $49.60. He leaves a 15% tip for the waitress.
How much money does Jordy spend?
HELPPPPPP MEEEE PLSSSSSS
Answer:
34.60 ez just minus the tip with the payment
Step-by-step explanation:
15% of $49.60 is $7.44
So, $49.60 + $7.44 = $57.04
Answer: $57.04
Help fast it’s due soon
Answer:
slope is 0
Step-by-step explanation:
the line is flat
The slope is 0, it doesn't curve or anything, the line is straight
What are the max/min values of the following equation?
y = 2x3 – 2x² – 18x + 18
Someone please help me out
What is the factor expression for 45c + 10d
Answer:
9c + 2d
Step-by-step explanation:
45c + 10d (divide by 5)
9c + 2d
Not 100% if this is how you do factor expression, but if it is then it is right
Hope this helps ya! Keep smiling!
Answer:
9c + 2d
Step-by-step explanation:
If y = 5x2 – 3x + k does not hit the x-axis, then what is/are the value(s) of k?
9514 1404 393
Answer:
k > 9/20
Step-by-step explanation:
If the parabola does not touch the x-axis, the discriminant is negative. That means ...
b^2 -4ac < 0
(-3)^2 -4(5)(k) < 0
9 < 20k . . . . . . . . . add 20k
k > 9/20 . . . . . . . . .divide by 20
[tex]y=5x^2-3x+k\\[/tex]
Discriminant | D < 0 (Because doesn't intercept any x-values)
[tex]D = (-3)^2-4(5)(k) < 0\\9-20k<0\\-20k<-9\\k>\frac{9}{20}[/tex]
Therefore, the value of k must be greater than 9/20
so k > 9/20
GIVING BRAINLIEST FOR THIS QUESTION!!
Combine like terms. 15t + 9 – 7s + 10 + 5t
Answer:
32
Step-by-step explanation:
I did the math for you
Answer:
20t + 19 - 7s
Step-by-step explanation:
15t + 9 - 7s + 10 + 5t
20t + 9 - 7s + 10
20t + 19 - 7s
tell whether x and y are in proportional relationship. explain your reasoning
Answer:
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
Step-by-step explanation:
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49.
6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49.
What error did the pet store owner make?
Answer:
the answer is A
Step-by-step explanation:
I got it right Good luck and I hope it helps
Answer:
its A
Step-by-step explanation:
good luck
A jar is filled with pennies, nickels, and dimes. The probability of picking a
penny is 1/4, and the probability of picking a dime is 1/3. What is the
probability of picking a nickel?
1/5
1/3
5/12
7/12
Answer:
5/12
Step-by-step explanation:
Make 1/4 and 1/3, 3/12 and 4/12, add them up to equal 7/12 then subract 7 from twelve and you have 5. 5/12
A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 8 feet from the building and the ladder is 17 feet long. How far is the roof line from the ground? 15 ft 9 ft 18.8 ft 25 ft
Answer: 15 ft
Step-by-step explanation:
I took the test :)
Answer:
its 15 but can yall do step by step
Step-by-step explanation:
evaluate 19 + 6a ÷ 2
Answer:
19 + 3a
Step-by-step explanation:
19 + 6a ÷ 2
If we want to evaluate this equation, there's really only one step.
We need to divide our 6a by our 2.
1. 19 + 6a ÷ 2 => 19 + 3a
So 19 + 6a evaluated is 19 + 3a.
Feel free to give brainliest.
Have an amazing day and happy Thanksgiving!
what is the answer if the wholesale price is $68 and the markup is 85%
Answer: 57.8
Step-by-step explanation: you can eithere do 68 % 85 or other way which i forgot
William has $22 to buy string for his guitar each set of strings cost $5 how many sets of strings can he buy
Answer: 4 sets
Step-by-step explanation:
Answer:
He can buy 4 sets of strings.
Step-by-step explanation:
If each set is 5 dollars then you multiply that by 4 and you get 20. You have 2 dollars left and you cant buy anymore sets.
Please mark brainliest.
write the quadratic equation in standard form going through the points (-1,-5) (0,-4) (2,10)
WILL MARK BRAINLIEST PLS HELP!! Kirsten just found out that Snap will no longer be free, and she is devastated. Snap will charge 3 cents for each picture sent and 9 cents for each video. Her parents are willing to allow her to spend no more than 15 dollars a month. Kirsten knows that based on her typical usage she will send more than 200 Snaps a month. Model Kirsten’s monthly Snap budget and show all possible combinations. Identify one plausible scenario that could occur. INEQUALITIES
she can send up to 500 snaps OR 166 videos
she can send up to 500 snaps 150 videos
moya picked 3 dozen apples she wents to share her apes in equal groups. show how many different way can she do this
Answer:
Groups of 12, Groups of 4, Groups of 6, Groups of 18
Step-by-step explanation:
12 x 3 = 36
36 splits evenly into 12, 4, 6, and 18 therefore that is your answer.
