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3 years ago

The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

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11Alexandr11 [23.1K]

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4 years ago

Determine if the functions are even, odd or neither.

marusya05 [52]

I'm pretty sure its neither just substitute the x for -2 and solve. There has to be a consistency in the values 3 times for there to be a pattern.

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3 years ago

What equation, in point-slope form, matches the graphed line shown? Question 3 options: y−5=−23(x+9) y−2=−34(x−6) y+6=45(x+3) y−

ziro4ka [17]

Step-by-step explanation:

the line passes through (6, 2) and (10, -1),

the slope =

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the equation :

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3 years ago

Explain how to wrie a function rule from the table then write one

ipn [44]

Answer:

See example below.

Step-by-step explanation:

If the function has the table:

x f(x)

-3 -6

-2 -4

-1 -2

0 0

Step 1 : Looking at the table, find a pattern. This table f(x) deceases by 2 each time. This is a constant rate of change called slope.

Step 2: Recognize the pattern. Since it is decreasing by 2 each time, this is a linear function. Its equation can be written using y = mx+b.

Step 3: Use the form, y =mx + b and substitute m and b.

Step 4: The slope is m . The slope is -2. m = -2.

Step 5: Find the y-intercept. b is the y-intercept or starting point where x = 0. When x=0, the table shows y=0. So b=0.

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4 years ago

Can somebody help mee plzzzzzzzz

hammer [34]

Answer:

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None of the lines are perpendicular to each other.

Step-by-step explanation:

To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:

line a: This line goes down one every time it goes over 3, which can be represented by -1/3

line b: This lines goes down one every time it goes over 3, which can also be written as -1/3

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When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.

When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.

Hope this helps :)

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3 years ago