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xenn [34]
3 years ago
12

Alan is 14 years old .this is twice as old as his broter james. how old is james

Mathematics
2 answers:
dedylja [7]3 years ago
4 0

he is seven because you divide alans age 14 by two equals 7
Juli2301 [7.4K]3 years ago
4 0

Answer:

7

Step-by-step explanation:

Alan is 14. James is half his age.

7*2=14 or 7* 1/2=14.

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Fred sold half of his comic books and then bought 9 more. He now has 13. How many did he begin with?
olga_2 [115]

Answer:

  8

Step-by-step explanation:

Before Fred bought 9 more, he had 4. Since 4 is half the number he started with, he started with 8 comic books.

3 0
3 years ago
(x+7)/(x^2-49) find the domain. show work
harina [27]
\large\begin{array}{l} \textsf{Find the domain of}\\\\ \mathsf{f(x)=\dfrac{x+7}{x^2-49}}\\\\ \mathsf{f(x)=\dfrac{x+7}{x^2-7^2}}\\\\\\ \textsf{Factor out the denominator using special products:}\\\\ \textsf{(a difference of squares)}\\\\ \mathsf{f(x)=\dfrac{x+7}{(x+7)(x-7)}} \end{array}


\large\begin{array}{l} \textsf{Restrictions for the domain:}\\\\ \bullet~~\textsf{Denominators must not be zero:}\\\\ \mathsf{(x+7)(x-7)\ne 0}\\\\ \begin{array}{rcl} \mathsf{x+7\ne 0}&~\textsf{ and }~&\mathsf{x-7\ne 0}\\\\ \mathsf{x\ne -7}&~\textsf{ and }~&\mathsf{x\ne 7} \end{array} \end{array}


\large\begin{array}{l} \textsf{Therefore, the domain of f is}\\\\ \mathsf{D_f=\{x\in\mathbb{R}:~~x\ne -7~~and~~x\ne 7\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_f=\mathbb{R}\setminus\{-7,\,7\}}\\\\\\ \textsf{or using the interval notation}\\\\ \mathsf{D_f=\left]-\infty,\,-7\right[\,\cup\,\left]7,\,+\infty\right[.} \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2155752


\large\textsf{I hope it helps. :-)}



Tags: <em>function domain real rational factorizing special product interval</em>

</span>
7 0
3 years ago
If your car gets 28 miles per gallon and you travel 30 miles round-trip to work five days a week, how much do you pay each 4-wee
disa [49]

Answer:

You'd pay $65.35 every 4 weeks

Step-by-step explanation:

First you have to gather all the miles.

30 miles x 5 = 150

So that is 150 miles/per week

Then you have to devide the miles by how many gallons per gas you travle.

150/28 miles per gallon = 5.3571....

That how many gallons you'll need a week.

Now, you times the gallons by the price of the gas

5.3571... x $3.05 = $16.3392...

Finally you times the amoutn of money for a week time 4 weeks.

$16.3392... x 4 = $65.35 (to the two decimal mark)

Hope this helped you! : )

7 0
3 years ago
Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes
prisoha [69]
We will use the equation:
r t = 3/4 r ( t+12 )    /:r
t = 3/4 t + 9
t - 3/4 t = 9
1/4 t = 9
t = 9 * 4 = 36 minutes ( takes a trip to the market )
36 + 12 = 48 minutes
The ride home takes 48 minutes.
7 0
4 years ago
Help please!!!!!!!!!
MAVERICK [17]

Answer:

Angle 3= 37 degrees, Angle 2 = 143 degrees, Angle 4= 143 degrees

Step-by-step explanation:

Angle 3 is across from Angle 1 so they are equal to each other. Now to find Angles 2 and 4, cover angles 2 and 3 with your hand so you are just looking at 1 and 4, they are on a line. Lines are 180 degrees, so since angle 1 we know is 37 degrees, then 180-37= 143 degrees for angle 4. Now, 2 and 4 are opposites of each other, and share the same value of 143 (just like how we found angles 1 and 3 to be equal bc they are across from each other)

4 0
3 years ago
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