Write an expression for the new balance using as few terms as possible. A checking account has a balance of -$126.89. A customer makes two deposits, one 3 1/2 times the other, and then withdraws $25.

New balance = -151.89 + 4.5x

(where x is the value of the smaller deposit)

Step-by-step explanation:

The inicial balance was -126.89.

Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.

Then, the customer made a withdraw of $25.

So, The new balance can be calculated as:

New balance = inicial balance + x + 3.5x - 25

New balance = -126.89 + 4.5x - 25

New balance = -151.89 + 4.5x

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: