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vitfil [10]
2 years ago
14

Write 2/4/9 as an improper fraction.

Mathematics
1 answer:
Softa [21]2 years ago
5 0

2\dfrac{4}{9}=\dfrac{2\cdot9+4}{9}=\dfrac{18+4}{9}=\boxed{\frac{22}{9}}

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The sum of 4 consecutive numbers is equal to the sum of the next 3 consecutive numbers. Find the largest number.​
timurjin [86]

Answer:

The answer is: The largest number is 15.

Step-by-step explanation:

Let n = the number

n + (n + 1) + (n + 2) + (n + 3) = (n + 4) + (n + 5) + (n + 6)

4n + 6 = 3n + 15

n = 9

Proof:

9 + 10 + 11 + 12 = 19 + 23 = 42

13 + 14 + 15 = 27 + 15 = 42

Hope this helps! Have an Awesome Day!!  :-)

6 0
3 years ago
Read 2 more answers
If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?
Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

\frac{12}{1}  \times  \frac{120}{100}  = 14.4

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

14.4 = 80\% \\ x = 100\%

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

14.4 \times 100\% = 80\% \times x

This is the same as saying;

14.4  \times 1 = x \times  \frac{4}{5}

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so.<em> </em><em>1</em><em>8</em><em>+</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>30</em>

4 0
2 years ago
Is f(x)=e^2 an exponential function? If so what is its base? If not, why?
makkiz [27]

Answer:

No. It is a constant function.

Step-by-step explanation:

The function f(x) = e^2 is not an exponential functional. Rather, it is a constant function. The reason for this is that in f(x) = e^2, there is no x involved on the right hand side of the equation. The approximate value of e is 2.718281, and the approximate value of 2.718281^2 is 7.389051. This means that f(x) = e^2 = 7.389051. It is important to note that for any value of x, the value of the function remains fixed. This is because the function does not involve the variable x in it. The graph of the function will be a line parallel to the x-axis, and the y-intercept will be 7.389051. For all the lines parallel to x-axis, the value of the function remains the same irrespective of the value of x. Also, the derivative of the function with respect to x is 0, which means that the value of the function is unaffected by the change in the value of x!!!

6 0
3 years ago
answers please asap for this question please i have been waiting for ever and its due tomorrow the 10th
ololo11 [35]
Hi there!

First, let's create an equation for the table: m = 2n + 40. Using this equation, we can find the values of x, y, and z.

WORK:
x = 2(4) + 40
x = 8 + 40
x = 48
y = 2(5) + 40
y = 10 + 40
y = 50
z = 2(6) + 40
z = 12 + 40
z = 52

Next, using the equation, we know that the initial investment would be 40, since that is the y-intercept of the equation. To express M in terms of N, that would be our equation m = 2n + 40. To find 10 years, we'll plug in 10 for n.

WORK:
m = 2(10) + 40
m = 20 + 40
m = 60 after 10 years

To figure out when his investment would double, we'll need to use 80 (double his initial investment of 40) in place of m.

WORK:
80 = 2n + 40
40 = 2n
n = 20 years


Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
7 0
3 years ago
Matt invested $1500 into a stock of his choice. After two years, he had received
EleoNora [17]

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

3 0
3 years ago
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