Answer:
y = 23.14 ft
x = 15.56 ft
so the dimensions of the building will be = 15.56 ft x 15.56 ft x 23.14 ft
Step-by-step explanation:
the area of the roof = xy
cost of the roof = 11xy
the area of the sides and back = 2xy + x²
cost of the sides and back = 14(2xy + x²) = 28xy + 14x²
area of the glass front = x²
cost of the glass front = 15x²
minimize:
total cost = 11xy + 28xy + 14x² + 15x² = 39xy + 29x²
total volume = x²y = 5600 ⇒ constraint
39y + 58x = 2λxy
39x = λx2
x²y = 5600
λx = 39 which we replace into the first equation
39y + 58x = 78y
58x = 39y
(58x)²y = 58² · 5600
now we replace 58x by 39y
(39y)²y = 58² · 5600
39² · y³ = 58² · 5600
y³ = (58² · 5600) / 39² = 12,385.53583
y = ∛12,385.53583 = 23.14 ft
x² = 5600/ 23.14 = 242.04
x = 15.56 ft
which equation has the same solution as x - 12 = 40
A. x/2 = 14
B. x + 12 = 40
C. 12 - x = 40
D. x/4 = 13
Answer:
Answer: D. x/4 = 13
Step-by-step explanation:
Equations
Solve the following equation:
x - 12 = 40
Adding 12:
x = 52
Let's test each option to find which one of them has the same solution.
A. x/2 = 14
Multiplying by 2:
x = 28
B. x + 12 = 40
Subtracting 12:
x = 28
C. 12 - x = 40
Subtracting 12:
-x = 28
Multiplying by -1:
x = -28
D. x/4 = 13
Multiplying by 4:
x = 52
This last option is true.
Answer: D. x/4 = 13
Find the exact solution to the equation. Just type in the final solution, do NOT include x=
250(1/5)^x/2=2
The scale from a map to the actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm. What is the approximate distance, in miles, between Chicago and Boston? Show your work.
Answer 868 miles
Step by step
Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.
If the distance on the map between Chicago and Boston is about 3.5 cm.
Then, the actual distance between them = 3.5\times 248 \text{ miles}=868 \text{ miles}
Hence, the approximate distance between Chicago and Boston = 868 miles.
i.e. 1 cm on map = 620/2.5 miles = 248 miles
Answer:868 miles
Step-by-step explanation: 1cm=620/2.5 = 248
distance is about 3.5
3.5x 248=868
The height of mountain P is 1086 feet the height of Mt. Q is four times the height of Mt. P the area model shown below represents one way to find the height of Mt. Q what is the missing value for a, b and c
Answer:
ITS A I TOOK THE TEST
Step-by-step explanation:
Answer:
A=4000, B=80, C=24
Step-by-step explanation:
We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is Multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to Multiplify it by 4, 6*4=24.
At the end we only sum our
A + 320 + c = 4344 (4 times the height of Mountain P).
1000 + B + 6 = 1086(the height of the Mountain P).
slope intercept form parallel to y = -x + 3 and through (0,6)
Answer:
Step-by-step explanation:
parallel means the slope is the same
y = -x + b
since it has to pass thru (0,6) we’ll plug those in to the equation to find b
6 = -(0) + b
6 = b
the final equations is y = -x + 6
What is the decimal equivalent of 9 1/2%
The decimal equivalent of 9 1/2% is 0.095.
We have,
To explain the process of finding the decimal equivalent of 9 1/2%, we need to understand what a percentage represents and how to convert it to a decimal.
A percentage is a way of expressing a part of a whole in terms of hundredths. In this case, 9 1/2% represents 9.5 parts out of 100.
To convert a percentage to a decimal, we divide the percentage value by 100. This is because a percentage is essentially a fraction with a denominator of 100.
Now,
To find the decimal equivalent of 9 1/2%, we divide the percentage value by 100.
9 1/2% can be expressed as a fraction: 9 1/2% = 9.5/100.
Dividing 9.5 by 100 gives us the decimal equivalent:
= 9.5 ÷ 100
= 0.095
Therefore,
The decimal equivalent of 9 1/2% is 0.095.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Parallelograms pre test on edg 2020
!ANSWERS !
1.c
2.c
3.a
4.b
5.c
6.c
7.d
8.d
9.d
10.c
You’re welcome ;)
Name: Joe
Wednesday
Sandra is traveling 20 mph on her bicycle. After 4 hours, how far will she have traveled?
Answer:
is 300 an answer? If not let me know then I'll correct it.
Step-by-step explanation:
The price of a shoes was reduced from $60 to $45. by what percentage was the priceof the shoes reduced? 60-45÷ 60 a 15% b 25% c 75% d 40%
Answer: C
75% of 60 is 45 lol
The correct answer would be C, 75%. You're Welcome! I work really hard and I would like it if you gave me brainiest! Have a great day.
An amount of $38,000 is borrowed for 10 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$76,516.77
Step-by-step explanation:
Use the compound interest formula. A = P(1 + r/n)^t. Subsitute the values in and solve.
Answer:
$76517Step-by-step explanation:
Given
Amount = $38000Interest rate = 7.25% Time = 10 yearsCompound = 1 per yearTotal:
38000*(1 + 0.0725)^10 = 76516.76 ≈ $76517 rounded to the nearest dollarSolve: 2y - 3.1 when y = 3.41
Answer:
3.72
Step-by-step explanation
2x3.42=6.82
6.82-3.1=3.72
Answer:
First, substitute y by the value
2(3.41)-3.1
Multiply the bracket by 2
It will be 0.58651026393, so you’ll round it up to make it shorter to make it easy for calculation
0.59-3.1=-2.51
-2.51 is the answer to your question
Step-by-step explanation:
I hope this helped, please give me brainliest
Order these fractions from least to greatest.
2 2 2
8' 3' 6
The SS attached. Just need the slope :)
Answer:
1/2
Step-by-step explanation:
Rise = 1
Run = 2
~theLocoCoco
22 divided by 6 equals
What is the sale price to the nearest cent? $239 television; 10% discount
Answer:
The sale price will be: $215.10
Step-by-step explanation:
We know that:
Sale price = Regular price × (100% - Discount %)
= Regular price × (100% - 10%)
= 239 × 90%
= 239 × 0.9
= 215. 10 $
Therefore, the sale price will be: $215. 10
I don’t really understand
Answer:
42 tickets
Step-by-step explanation:
If you divide all the choices by 8 they all equal an even number except 42
it is not possible for them to use forty-two tickets because forty-two is not a multiple of eight. since there are eight people, and each ride cost one ticket per person, they should use eight tickets for each ride. forty, twenty-four, and sixteen are all multiples of eight, and are therefore possible answers.
en una clase de 90 alumnos , 15 son nacidos en estados unidos . que porcentaje son nacidos en estados unidos?
Answer:
la respuesta será 77%
Step-by-step explanation:
será 77% porque si lo divides sale así 90/15% será 77%
Help pleaseeee xxxxxx
Answer:
27.5
Step-by-step explanation:
Evaluate:|-12| - |4|- |-8|?
Answer:
when you evaluate a number if it is positive do nothing if it is negative switch it to a positiive sooo 12 4 and 8 :)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
find the absloute value and then subtract
What is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2 cm and height of 9 1/2 cm?
Answer:
2,018
Step-by-step explanation:
College roommates John and David were driving home to the same town for the holidays. John drove 55mph, and David, who left an hour later, drove 60mph. How long will it take for David to catch up to John?
Answer:
sorry
Step-by-step explanation:
It will take for David 11 hours to catch up with John
Speed is the ratio of distance traveled to the total time taken. Speed is given by:
Speed = distance / time
Let d represent the distance at which both John and David meet up at time t hour.
Since drove at 55 mph and is an hour faster, hence:
55 = d / (t + 1)
d = 55t + 55 (1)
John is driving at 60 mph, hence:
60 = d / t
d = 60t (2)
equating equation 1 and 2:
55t + 55 = 60t
5t = 55
t = 11 hours
Hence, it will take for David 11 hours to catch up with John
Find out more at: https://brainly.com/question/2261058
Is (-5)+12 equal to 7 or is (-5)+(-12) equal to 7?
Answer:
-5+12=7
Step-by-step explanation:
the second option is adding two negatives, which sums up to -17 rather than -7
xoxo,your highness...Danielle created a painting using only similar hexagons.
Which statement about the hexagons must be true?
The hexagons are all the same size and shape.
The hexagons have corresponding sides that are proportional.
The hexagons have corresponding angles that are not congruent.
The hexagons are different shapes but the same size.
Answer: B- The hexagons have corresponding sides that are proportional.
The statement is true about hexagons, if Danielle created a painting using only similar hexagons, The hexagons have corresponding sides that are proportional, so option B is correct.
What is a hexagon?A hexagon is a two-dimensional geometric shape with six sides that may or may not have the same length. The hexagon shape can be seen in everyday objects like floor tiles, pencil cross-sections, clocks, honeycombs, etc.
Given:
Danielle created a painting using only similar hexagons,
A closed, two-dimensional shape with six equal sides and six equal angles is referred to as a regular hexagon. The regular hexagon has 120-degree angles on each side. And 120 x 6 = 720 degrees is the total of all inner angles.
Both have 6 vertices, 6 internal angles, and 6 sides, All six inner angles add up to 720 degrees, All six outer angles added together result in 360 degrees. These two hexagons are comparable because they have matching sides in the same ratio and matching angles that are both equal.
Thus, hexagon hexagons have corresponding sides that are proportional.
To know more about hexagons:
https://brainly.com/question/2254164
#SPJ2
If you scale a figure by less than or less than 100% does the new copy increase or decrease in size? PLS HURRY IT'S LATE PLS I DON'T WANNA STAY FOR 1HR
Answer:
Less
Step-by-step explanation:
100% is full size
An experiment consists of dealing 6 cards from a standard 52-card deck. What is the probability of being dealt 6 hearts?
Answer: 0.0000842890
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of hearts in a deck = 13
Probability of being dealt 6 hearts :
Probability = (required outcome / Total possible outcomes)
Required outcome = choosing 6 hearts from a possible 13
13C6:
Recall : nCr = (n! / (n-r)!r!)
13C6 = 13! / (13-6)!6!
13C6 = 13! / 7!6!
13C6 = (13*12*11*10*9*8)/(6*5*4*3*2*1)
13C6 = 1235520 / 730
13C6 = 1716
Total possible outcomes :
52C6 = 52! / (52-6)!6!
52C6 = 52! / 46!6!
52C6 = (52*51*50*49*48*47)/(6*5*4*3*2*1)
52C6 = 14658134400 / 720
52C6 = 20358520
Hence,
P(6 hearts) = 1716 / 20358520
P(6 hearts) = 0.0000842890
resolver
4×3
____
7+5
Answer:
THEY ARE EQUAL =
Step-by-step explanation:
Which expression is equivalent to 6a + 15? PLZ HELP WILL AWARD BRAINLIEST
6(a + 5)
3(2a + 5)
3(3a + 12)
6(a + 12)
Answer:
3(2a+5)
Step-by-step explanation:
What you do is you use the Distributive Property. So you multiply 3 into 2 and 5 to get 6a+15.
what is 4(5+3) pls what is it
Answer:
is 32
hope that helps!
Find the missing angle.
130°. X
Answer:
50°
Step-by-step explanation:
Determine the slope and the y-intercept of the table.
Step-by-step explanation:
x 3 6 9
y -1 -2 -3
Change in x = + 3
Change in y = -1
slope is -1/3
y-intercept = I think there is none (it goes through the origin) but I don't have graph paper on hand so not quite sure on that. Anyway, hope this helped!