Juan is organizing his sports cards in boxes. He has 2 2/3 boxes of baseball cards, 1 5/6 boxes of football cards, and 3 1/8 boxes of basketball cards. Which collections of cards would fit in 4 storage boxes? About how many boxes does Juan need to store all his cards?

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

y/x of point b= y/x of point a

step-by-step explanation:

(i got the same question, this was the correct answer.)

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus