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3 years ago

Find the ratio in simplest form. 30 minutes to 2 hours

Mathematics

2 answers:

KengaRu [80]3 years ago

8 0

The answer is 1:4

HOPE THIS HELPED!

Brums [2.3K]3 years ago

6 0

2 hours = (4) 30 mintues
so, (1) 30 minutes: (4) 30 minutes 
so, 1:4

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One of the tables shows a proportional relationship.

beks73 [17]

Answer:

See attached

Step-by-step explanation:

The graph of a proportional linear relationship is a line that passes through the origin (0, 0).

From inspection of the given tables, the linear equations for each table of points is:

Table 1: y = x + 1
Table 2: y = x/2
Table 3: y = x + 2
Table 4: y = 2x + 1

The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.

Given points from Table 2:

(2, 1)
(4, 2)
(6, 3)
(8, 4)

To graph the line, plot the given points and draw a line through them (see attached).

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2 years ago

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Fudgin [204]

Step-by-step explanation:

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3 years ago

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antoniya [11.8K]

a) The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring.

b) The discharge of the Grand Prismatic Spring takes 15 minutes.

c) The remaining quantity after 7 minutes is 4480 gallons.

d) The hardness of cardboard is 2.

<h3>How to apply concepts of linear functions</h3>

a) In this case, the volume of water ( $V$ ), in gallons, decreases linearly in time ( $m$ ), in minutes. Then, we could model the situation by using the following expression:

$V(m) = V_{o} - \dot V \cdot m$ (1)

Where:

$V_{o}$ - Initial volume, in gallons.
$\dot V$ - Discharge rate, in gallons per minute.

If we know that $V_{o} = 8400\,gal$ and $\dot V = 560\,\frac{gal}{min}$ , then the volume of the Grand Prismatic Spring is represented by this expression:

$V(m) = 8400 - 560\cdot m$ (2)

The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring. $\blacksquare$

b) By (1) and $V(m) = 0$ we find the time required for discharge:

$m = \frac{0 - 8400}{-560}$

$m = 15\,min$

The discharge of the Grand Prismatic Spring takes 15 minutes. $\blacksquare$

c) The quantity of gallons remaining is found by evaluating the function for $m = 7$ :

$V(7) = 8400 - 560\cdot (7)$

$V(7) = 4480\,gal$

The remaining quantity after 7 minutes is 4480 gallons. $\blacksquare$

d) According to Mohs scale, the hardness of feldspar is 6. The statement indicates the following relationship, as there is a constant relationship between both hardnesses:

$y = 3\cdot x$ (3)