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ladessa [460]
3 years ago
10

The dimensions of a small juice box are 11 cm by 4 cm by 7 cm. The super-size juice box has the same height of 11 cm but double

the volume. Give two sets of the possible dimensions of the super-size juice box and the volume.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer:

Two sets of the dimensions may be 4cm×14cm×11cm or 7cm×8cm×11cm and the volume will be 616 cm³.

Step-by-step explanation:

Dimensions of a small juice box are 11cm×4cm×7cm.

Volume of the small juice box = 11×4×7 = 308 cm³

Height of the super size juice box is same as small juice box but volume is double.

Let length and width of the super size juice box are x and y cm.

So volume = 11xy cm³ = 2(Volume of small juice box)

11xy = 2×308

xy = \frac{2\times 308}{11}

xy = 56

Therefore, two sets of the dimensions may be 4cm×14cm×11cm or 7cm×8cm×11cm and the volume will be 616 cm³.

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-2/3x+7(3/7-3/7x) -12 divided by 6*3
Anna71 [15]

Answer:

x = (-27)/11

Step-by-step explanation:

Solve for x:

(-11 x)/54 - 1/2 = 0

Put each term in (-11 x)/54 - 1/2 over the common denominator 54: (-11 x)/54 - 1/2 = (-27)/54 - (11 x)/54:

(-27)/54 - (11 x)/54 = 0

(-27)/54 - (11 x)/54 = (-11 x - 27)/54:

(-11 x - 27)/54 = 0

Multiply both sides of (-11 x - 27)/54 = 0 by 54:

(54 (-11 x - 27))/54 = 54×0

(54 (-11 x - 27))/54 = 54/54×(-11 x - 27) = -11 x - 27:

-11 x - 27 = 54×0

0×54 = 0:

-11 x - 27 = 0

Add 27 to both sides:

(27 - 27) - 11 x = 27

27 - 27 = 0:

-11 x = 27

Divide both sides of -11 x = 27 by -11:

(-11 x)/(-11) = 27/(-11)

(-11)/(-11) = 1:

x = 27/(-11)

Multiply numerator and denominator of 27/(-11) by -1:

Answer:x = (-27)/11

5 0
2 years ago
What is the total area of the glass in the pyramid arena? Explain how you got the answer please.
Blababa [14]

Answer: 888,000

Step-by-step explanation:

Base: 600 x 600 = 360,000

600 x 440 x 2 (there is 4 triangles and 2 makes 1 square. So there is 2 pairs so times 2)= 528,000

360,000 + 528,000= 888,000

5 0
2 years ago
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One student begins in Cleveland, Ohio, and walks towards Buffalo, New York, a distance of 200 miles. She walks at the rate of 2.
omeli [17]
Ok so student in cleveland walks 2.5 miles away from cleveland every hour from 8
so the distance, x is x=2.5t

the riding one rides 4 hours later, so t-4
11 mph
y=11(t-4)

A. x=2.5t
y=11(t-4)

when do they meet is when the distance when they are equal or when x=y
2.5t=x=y=11(t-4)
solve for t
2.5t=11(t-4)
2.5t=11t-44
-8.5t=-44
divide both sides by -8.5
t=5.17647

answer is 5.18 hours


A.
x=2.5t
y=11(t-4)

B. 5.18 hours

6 0
2 years ago
The graph of y = x 2 has been translated 7 units to the left. The equation of the resulting parabola is _____.
strojnjashka [21]
To move the function to the left you have to increase x inside the function
think of it like g(x)=f(x+7)

the solution is
y=(x+7)^2
6 0
3 years ago
Read 2 more answers
(3x+2)+(2x^2+3x-1)<br><br> Please answer ty:)
Paul [167]
Answer = 2x^2+6x+1

3x+2+2x^2+3x-1
3x+1+2x^2+3x
Now combine like terms
3x+1+2x^2+3x
6x+1+2x^2
Rearrange terms
6x+1+2x^2
2x^2+6x+1
4 0
2 years ago
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