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Lelu [443]
3 years ago
5

A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 3 feet, and height of fraction 1 and 1 ove

r 2 feet. What is the volume of the carton?
Mathematics
1 answer:
astraxan [27]3 years ago
7 0
Writing this problem in symbols instead of in words greatly simplifies it:

(2  2/3) * (1  1/5) * (1  1/2)

Write each quantity (inside each set of parentheses) as an improper fraction:

(8/3) * (6/5) * (3/2)

Now multiply the numerators thru:  8*6*3 / 3*5*2

Notice that we can reduce this by dividing the 8 by the 2 and dividing the 6 by the 3:                                                4*3*3             36
                                                        ----------  =  -----------
                                                             5                  5
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Select the correct answer.<br> Which is the graph of the function }(r).= x3 – 3,2 – 417
Marta_Voda [28]
Where the answer choices ?
3 0
3 years ago
Find the surface area of the pyramid shown to the nearest whole number. The base is a regular hexagon.
Fiesta28 [93]
The surface area of the pyramid will be given as follows:
Area of triangles:
A=1/2×base×height
A=1/2×12×18
A=108 m²
Area of 6 triangles is given by:
A=108×6=648 m²

Area of the hexagon:
A=6×1/2×12×6√3
A=374.123m²

Total surface area:
SA=648+374.123
SA=1022.123 m²~1022 m²

Answer: C] 1022 m²

8 0
3 years ago
PLEASE HELP VERY URGENT
gavmur [86]

Answer:

B) (2, 1)

Step-by-step explanation:

−x + 3 = 2x - 3

-2x - 2x

___________

−3x + 3 = −3

- 3 - 3

_________

−6 = −3x

__ ___

−3 −3

2 = x [Plug this back into both equations above to get the y-coordinate of 1]; 1 = y

I am joyous to assist you anytime.

6 0
3 years ago
HELPPP PLSSSS ITS ALMOST DUE IN 1 HOUR WILL GIVE BRAINLIEST THANKS AND 5 STARSSS
Veseljchak [2.6K]

Answer:

2.5 + 3<em>h</em> = 13

Step-by-step explanation:

2.5 for the hotdog.

3 for each hamburger

3.5$ for each hamburger as h

Hope this Helps!

5 0
2 years ago
During the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this
alex41 [277]

Answer:

Step-by-step explanation:

Given that during  the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.

\frac{dP}{dt} =0.03135P =0.0001489P^2, P(0) = 3.9

a) 1930 population is the population at time t = 40 years taking base year as 40

We can solve the differential equation using separation of variables

\frac{dP}{0.03135P – 0.0001489P^2 } =dt\\\frac{dP}{-P(0.03135 – 0.0001489P } =dt

Resolve into partial fractions

\frac{31.8979}{P} -\frac{0.00474}{0.0001489P-0.03135}

Integrate to get

ln P -0.00474/0.0001489  (ln (0.0001489P-0.03135) = t+C

ln P -31.833  (ln (0.0001489P-0.03135) =t+C

\frac{P}{( ( (0.0001489P-0.03135)^{31.833}  } =Ae^t

Limiting population would be infinity.

6 0
3 years ago
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