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AveGali [126]
3 years ago
5

Mr. Farris drives 7 1/2 miles directly west of his home to a restaunt.he then drives 8 2/3 miles directly east of the restauant

to his office. how far , and in what direction is his office from his home ?
Mathematics
2 answers:
valkas [14]3 years ago
5 0

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

Ilya [14]3 years ago
4 0

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.

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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
How many tons are equal to 36,000 pounds?
patriot [66]

Hello There! I'll be glad to help you! :0

Question:

How many tons are equal to 36,000 pounds?

Answer:

<h2><u><em>18 tons </em></u></h2>

Step-by-step explanation:

<em>To convert a pound measurement to a ton measurement, divide the weight by the conversion ratio.</em>

<em />

<em>Since one ton is equal to 2,000 pounds, you can use this simple formula to convert:</em>

<em />

<em>tons = pounds ÷ 2,000</em>

<em>The weight in tons is equal to the pounds divided by 2,000.</em>

<em />

<em>And you could multiply 2,000 by 18 and get the answer 36,000</em>

<em />

<em />

Hope This Helps you!

Have an Amazing day!

<h2><u>If you have any questions please ask! :]</u></h2>
8 0
2 years ago
Read 2 more answers
Hey plz answer fast thx :):):)
Sav [38]
The awnser is A becuase 12/3=4
6 0
2 years ago
Read 2 more answers
Problem
Nitella [24]

Answer:maybe 29

Step-by-step explanation:

8 0
2 years ago
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10
olga nikolaevna [1]

According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

<h3>What is linear regression?</h3>

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

  • Time (minutes X)                 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4,  4.5.
  • Temperature (° Celsius Y)  75, 79, 83, 86, 89, 91, 93,  94, 95, 95.5.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

  • The mean of time value, 2.25.
  • The mean of temperature value 88.05
  • Sum of squares 20.625
  • Sum of products 93.625

The regression equation for this data can be given as,

\hat y=4.53939 X+77.83636

Put the value of temperature (y) 100 in this equation.

100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Learn more about the regression here;

brainly.com/question/25226042

4 0
1 year ago
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