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3 years ago

12

Bob's truck averages 23 miles per gallon. If Bob is driving to his mother's house, 72 miles away, how many gallons of gas are ne

eded? Round to the nearest tenth.

1 answer:

anyanavicka [17]3 years ago

4 0

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

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Factoring , <br> a² +4a - 5

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the factors of the term $a^2+4a-5$ are $(a-1)(a+5)$

Step-by-step explanation:

We need to find factors of the term: $a^2+4a-5$

For finding factors:

We need to break the middle term such that their product is equal to product of first and last term and their sum is equal to middle term

Breaking the middle term and finding factors:

$a^2+4a-5$

$=a^2+5a-a-5$

$=a(a+5)-1(a+5)$

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3 years ago

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

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Answer: 70 meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

$DE=AD+AE$

<em />

Both triangles are right triangles. Therefore, you can calculate the distance between the walls as following:

- Calculate the distance AD:

$cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m$

- Calculate the distance AE:

$tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m$

Therefore the distance between the walls is:

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3 years ago

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On a hot summer day, Jen is in a foreign country. She wonders which

tino4ka555 [31]

Answer: Celsius scale

Step-by-step explanation:

Fahrenheit scale is established from the freezing and boiling temperatures of water, which are:

Freezing temperature of water: $32\°F$

Boiling temperature of water: $212\°F$

Which means that all temperatures below $32\°F$ are below the freezing temperature of water. Therefore, if Jen is in the Summer season, which is characterized by high temperatures, it is incoherent to think that the thermometer is using the Farenheit scale.

Now, $30\°C$ is in accordance with the high temperatures recorded in the summer season.

If we want to know how much $30\°C$ is in Farenheits, we must use the following conversion formula:

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Answer:

<em /> $Rate = 1.1/hr$ <em />

<em />

Step-by-step explanation:

Given

$Start = 23$

$End = 16$

$Hours = 6\frac{1}{2}h$

Required

Determine the hourly rate

First, we need to determine the ice cream sold

$Ice\ Cream = 23 - 16$

$Ice\ Cream = 7$

Next, we calculate the hourly rate:

$Rate = Ice\ Cream/Hours$

$Rate = 7/6\frac{1}{2}h$

$Rate = 7/\frac{13}{2}h$

$Rate = 7*\frac{2}{13h}$

$Rate = \frac{14}{13h}$

$Rate = 1.07692307692/hr$

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