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3 years ago

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?

Mathematics

2 answers:

lana [24]3 years ago

5 0

Answer: The first table

Step-by-step explanation:

1:16

2:32

4:64

8:128

masya89 [10]3 years ago

3 0

Answer:

The first one that goes 1-8 under the cups.

Step-by-step explanation:

Since theres 16 tablespoons in 1 cup, it goes up by 16 per cup. So, for 2 cups, it's 2 x 16, for 3 cups, its 3 x 16, and so on. If you were to do that the first table is the only one that matches.

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Answer:

n = -8

Step-by-step explanation:

Given the expression

(-2y-3) + (-6y-5) = (ny -8),

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-2y-3 - 6y -5 = ny - 8

-2y-6y-3-5 = ny - 8

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Swap

n = -8

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4 years ago

A cylindrical base has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of the diameter 3 inches. Th

alexandr1967 [171]

Answer:

$\sf C. \quad \pi (3\:in)^2(12\:in)-9 \left(\dfrac{4}{3} \pi (1.5\:in)^3 \right)$

Step-by-step explanation:

To find the volume of water in the vase, subtract the volume of the marbles from the volume of the cylindrical vase.

..............................................................................................................................

The marbles can be modeled as spheres.

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$\sf V=\dfrac{4}{3}\pi r^3 \quad \textsf{(where r is the radius)}$

Radius

$\sf r = \dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

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..............................................................................................................................

The vase can be modeled as a cylinder.

Volume of a cylinder

$\sf V=\pi r^2 h \quad \textsf{(where r is the radius and h is the height)}$

Therefore, the volume of a cylinder with a base of diameter 6 in and a height of 12 in is:

$\sf Volume =\pi (3\:in)^2(12\:in)$

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Volume of water

$\begin{aligned}\implies \sf Volume\:of\:water & = \sf Volume\:of\:vase- Volume\:of\:marbles\\& = \sf \pi (3\:in)^2(12\:in)-9 \left(\dfrac{4}{3} \pi (1.5\:in)^3 \right)\end{aligned}$

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