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yawa3891 [41]
3 years ago
14

5. The bus fair oe 8 passangers is Rs 640 If the fair decreased by Rs 5 per passanger How many passangers can travel for Rs 900

HL Hill ini mill Your Answer ! lii IR 3 HIE Answer​
Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

12 passengers can travel in Rs. 900.

Step-by-step explanation:

see the above attachment.

if you face any problem comment me, I am there for help.

hope this helps you.

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Make x the subject of the formula y=(5t+5x)
Elan Coil [88]

Answer:

(y-5t)/5=x

Step-by-step explanation:

y=5t+5x

factorize

y=5(t+x)

divide both sides by 5

y/5=5(t+x)/5

y/5=t+x

make x to stand alone

y/5-t=x

take lcm of 5 and 1

y/5-5t/5

y-5t/5=x

3 0
3 years ago
Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20
Vsevolod [243]

Answer:

<em>18</em> values for n are possible.

Step-by-step explanation:

Given the quadratic polynomial:

$x^2 - mx + n$

such that:

Roots are positive prime integers and

$m < 20$

To find:

How many possible values of n are there ?

Solution:

First of all, let us have a look at the sum and product of a quadratic equation.

If the quadratic equation is:

Ax^{2} +Bx+C

and the roots are: \alpha and \beta

Then sum of roots, \alpha+\beta = -\frac{B}{A}

Product of roots, \alpha \beta = \frac{C}{A}

Comparing the given equation with standard equation, we get:

A = 1, B = -m and C = n

Sum of roots,  \alpha+\beta = -\frac{-m}{1} = m

Product of roots, \alpha \beta = \frac{n}{1} = n

We are given that m  

\alpha and \beta are positive prime integers such that their sum is less than 20.

Let us have a look at some of the positive prime integers:

2, 3, 5, 7, 11, 13, 17, 23, 29, .....

Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.

So, possible combinations and possible value of n (= \alpha \times \beta) are:

1.\ 2,  2\Rightarrow  n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow  n = 6\\3.\ 2, 5 \Rightarrow  n = 10\\4.\ 2,  7\Rightarrow  n = 14\\5.\ 2, 11 \Rightarrow  n = 22\\6.\ 2, 13 \Rightarrow  n = 26\\7.\ 2, 17 \Rightarrow  n = 34\\8.\ 3,  3\Rightarrow  n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow  n = 15\\10.\ 3, 7 \Rightarrow  n = 21\\

11.\ 3,  11\Rightarrow  n = 33\\12.\ 3, 13 \Rightarrow  n = 39\\13.\ 5, 5 \Rightarrow  n = 25\\14.\ 5, 7 \Rightarrow  n = 35\\15.\ 5, 11 \Rightarrow  n = 55\\16.\ 5, 13 \Rightarrow  n = 65\\17.\ 7, 7 \Rightarrow  n = 49\\18.\ 7, 11 \Rightarrow  n = 77

So,as shown above <em>18 values for n are possible.</em>

3 0
3 years ago
Between 2005 and 2008, the average rate of inflation was about3.4 per year. If a cart of groceries cost $140 in 2005, what did i
Elan Coil [88]
The formula is
A=p (1+r)^t
A future value?
P current value 140
R rate of inflation 0.034
T time 2008-2005=3 years
A=140×(1+0.034)^(3)
A=154.77 round your answer to get
A=155
3 0
3 years ago
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary
kaheart [24]

Answer:

ok so this can be represented as

7.75x+675=1062.50

-675

7.75x=387.5

divide by 7.75

x=50

Hope This Helps!!!

3 0
2 years ago
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
Basile [38]

Answer:

Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?

-7 -6 -5 -4 -3 -2 -1 0

1

2

3

4

5

6

7

+ + +

-7 -6 -5 -4 -3 -2 -1 0

+

1

+

2

+

3

0 1 2

Step-by-step explanation:

5 0
3 years ago
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