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3 years ago

32km/s for 30 minutes

Mathematics

1 answer:

Darina [25.2K]3 years ago

3 0

Answer:

56700

Step-by-step explanation:

So convert 30 minutes into seconds.

30 * 60 = 1800

32 * 1800 = 56700

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Kenneth's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 63 caffeinated

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Answer:

90%

90% of the teas were caffeinated.

Step-by-step explanation:

Total teas: 63+7= 70

63/70 x 100/1= 90%

90% of the teas were caffeinated.

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3 years ago

What is -7 (3a-1)=91 what does a equal

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Answer:

a = -4

Step-by-step explanation:

Solve for a:

-7 (3 a - 1) = 91

Divide both sides of -7 (3 a - 1) = 91 by -7:

(-7 (3 a - 1))/(-7) = 91/(-7)

(-7)/(-7) = 1:

3 a - 1 = 91/(-7)

The gcd of 91 and -7 is 7, so 91/(-7) = (7×13)/(7 (-1)) = 7/7×13/(-1) = 13/(-1):

3 a - 1 = 13/(-1)

Multiply numerator and denominator of 13/(-1) by -1:

3 a - 1 = -13

Add 1 to both sides:

3 a + (1 - 1) = 1 - 13

1 - 1 = 0:

3 a = 1 - 13

1 - 13 = -12:

3 a = -12

Divide both sides of 3 a = -12 by 3:

(3 a)/3 = (-12)/3

3/3 = 1:

a = (-12)/3

The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:

Answer: a = -4

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4 years ago

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3 years ago

A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th

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Answer:

The length of a side of the cube-shaped container is 2,016 units

Step-by-step explanation:

step 1

Find the volume of a cube with a side length of 1008 units

The volume of a cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=1,008\ units$

substitute

$V=(1,008)^3\ units^3$

step 2

Find the length side of the cube-shaped container

Let

x-----> the length side of the cube-shaped container in units

we know that

The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units

$x^{2} (252)=(1,008)^3$

solve for x

$x^{2} =\frac{(1,008)^3}{252}$

$x^2=4,064,256$

$x=\sqrt{4,064,256}$

$x=2,016\ units$

therefore

The length of a side of the cube-shaped container is 2,016 units

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3 years ago