Amin, barb, and curt collected seashells in the ratio of 10: 12: 7. cult collected 98 seashells. how many seashells did they collect together.

They collect together

Step-by-step explanation:

Let

x-----> number of seashells collected by Amin

y-----> number of seashells collected by Barb

z-----> number of seashells collected by Curt

we know that

------> equation A

------> equation B

------> equation C

In this problem we have

Find the value of x ------> equation B

substitute the value of z

Find the value of y ------> equation C

substitute the value of z

therefore

They collect together

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