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DIA [1.3K]
3 years ago
8

A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge o

f the wall to the picture.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0
Answer: 4 3/8 feet

Explanation: First off, you want to do 15 1/2 - 6 3/4 which gives you 8 3/4. Next, to get your answer, you want to divide 8 3/4 by 2 since 8 3/4 is the TOTAL distance on both sides, not the distance from the wall to the picture on one side. After you divide, you will get a final answer of 4 3/8. Hope this helped!
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Write an equation to represent m varies inversely as the square of q ?​
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Answer:

m = \frac{k}{q^2}

Step-by-step explanation:

Given m varies inversely as q² then the equation relating them is

m = \frac{k}{q^2} ← k is the constant of variation

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2 years ago
The fuel efficiency for a 2007 passenger car was 31.2 mi/gal. For the same model of car, the fuel efficiency increased to 35.6 m
Ierofanga [76]

We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.

We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.

Let represent the functions as d_{1}(x) and d_{2}(x)  where d_{1} and d_{2} represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:

d_{1}(x)=31.2x \text{ and } d_{2}(x) = 35.6x

Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.

The difference function will be:

f(x)=35.6x-31.2x\\
f(x)=4.2x

f(16)=4.2*16=67.2

Domain of this function is [0,16] and range is [0,67.2].

The graphs are shown below.


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3 years ago
What does x equal<br> x^3 = -15
gtnhenbr [62]

Answer: x=\sqrt[3]{-15}

Step-by-step explanation:

x^3 = -15

x=\sqrt[3]{-15}

4 0
2 years ago
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