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irina1246 [14]
3 years ago
5

4)

Mathematics
1 answer:
kirill [66]3 years ago
8 0
X = ( 10x + 2x)


That is saying he only refilled once
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The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number​
strojnjashka [21]

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

or,x=9÷6

Therefore, x=3÷2

3 0
3 years ago
Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult tick
kirill115 [55]

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

4 0
3 years ago
If A:B=1/2:1/3, and B:C is 1/2:1/3, what is A:B:C?
Leya [2.2K]

Answer:

Step-by-step explanation:

C)3:2:6

6 0
3 years ago
P(x)=×^4-x^2-3<br>use the remainder theorem and synthetic division to find p(-2)
xxTIMURxx [149]

Answer: p(-2)=9


Step-by-step explanation:


8 0
3 years ago
Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

We want y=2 to be an unstable equilibrium solution - in other words, we want all solutions with initial condition y(t_0)=c for c near 2 to diverge from y=2 - so -dfrac ba=2.

Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
3 years ago
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