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topjm [15]
3 years ago
7

The smithsons are going to Dallas,TX on vacation. They have traveled 1/3 of the total distance. If they traveled 126 miles,how f

ar is it from their house to Dallas?
Mathematics
1 answer:
Ronch [10]3 years ago
6 0
If 1/3 is 126 miles, then the total distance will be 3 times as much. So just doing:

126 * 3 = 378 miles.

Gives us the answer 378 miles. This is an intro to inverse functions which will come later.
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Which shows the following expression using positive exponents?
Hitman42 [59]

Answer:

1. option B is correct i.e., \frac{-3a^{7}b^3b^1}{15a^{2}}

2. option D is correct i.e., \frac{a^3b^4}{ab^2}.

3. option B is correct i.e.,  \frac{n^{10}}{16m^{6}}.

Step-by-step explanation:

1. Since the given equation is:

\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}

As we know that a^{-x}=\frac{1}{a^x}

So, the given equation can be represented as:

\frac{-3a^{7}b^3b^1}{15a^{2}}


2. Given equation is:

\frac{a^3b^{-2}}{ab^{-4}}

As we know that a^{-x}=\frac{1}{a^x}

so the given equation can be represented as:

\frac{a^3b^4}{ab^2}.


3.  Given equation is:

(\frac{4mn}{m^{-2}n^6})^{-2}

by using the properties a^{-x}=\frac{1}{a^x},

and a^x\times a^y=a^{x+y}

(\frac{4mn}{m^{-2}n^6})^{-2}

= (\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}

= (\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}

= (\frac{4n^{-5}}{m^{-3}})^{-2}

= \frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}

= \frac{n^{10}}{16m^{6}}.

which is option B.

5 0
3 years ago
Read 2 more answers
8/v + 9/x=y Solve for v​
Andreas93 [3]

The answer is v= -8x/-xy+9

Here is the step by step process (This is going to be long):

1.  9v+8x=vxy

Multiply both sides by vx

2.  9v+8x+−vxy=vxy+−vxy

−vxy+9v+8x=0

Add -vxy to both sides

3.  −vxy+9v+8x+−8x=0+−8x

−vxy+9v=−8x

Add -8x to both sides

4.  v(−xy+9)=−8x

Factor out the variable v

5.  v(-xy+9)/-xy+9 = -8x/-xy+9

v = -8x/-xy+9

Divide both sides by -xy+9

4 0
3 years ago
A customer buys an item that originally costs x dollars from a retail store and uses a $10.00 off coupon. The store clerk uses t
morpeh [17]

Answer:

the value of c(30) is 21.2, which represents the customers final cost of $21.20

Step-by-step explanation:

d

4 0
3 years ago
Does the equation open up or down?<br> Y = -3x2 +7x - 2
Helga [31]

Answer:

Opens downward, like a frowning face

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the mode for the set of data?
ozzi

The mode of given data set is 74. Option D is correct option.

Step-by-step explanation:

We need to find mode of the data set

The data according to key is: 5|0 = 50 years old

So, data will be:

50,54,56,60,62,63,64,68,68,69,70,72,73,74,74,74,78,79,84,85,86,88

<u>Mode</u>

Mode is the most repetitive value in the data set.

So, the most repetitive value is 74.

The mode of given data set is 74. Option D is correct option.

Keywords: Mode of Data

Learn more about mode of data at:

  • brainly.com/question/6073431
  • brainly.com/question/5069437

#learnwithBrainly

5 0
2 years ago
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