Asporting goods store sold 2.5 times as many footballs as basketballs last year. which statement is true?

1.the ratio of footballs to basketballs is 2: 5
2.if a total of 35 footballs and basketballs were sold, 10 of them were footballs.
3.there were 5 footballs sold for every 2 basketballs.
4.the ratio of basketballs to footballs is 5: 2.

3. There were 5 footballs sold for every 2 basketballs.

Step-by-step explanation:

Let the number of basketball = x and the number of football = y.

It is given that, 'the number of footballs were 2.5 times the number of basketballs last year'.

That is,

That is,

That is,

That is, the ratio of football to basket ball is 5 : 2.

Which means, 'For every 2 basketballs, 5 footballs were sold'.

So, option 3 is true but options 1 and 4 are not true.

Moreover, 'if there were total 35 balls sold', we have,

i.e.

i.e.

i.e. x= 10

So, implies i.e. y= 25.

Thus, for total 35 balls sold, 10 were basketballs and 25 were footballs.

So, option 2 is not true.

Hence, the correct answer is option D.

12cm

the answer is d

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places