Evaluate x over y + 3z2 , for x = three tenths, y =4 over 5, and z = 3

Question

(1 point)
Responses

eight over fifty seven

fiftyseven over eight

two hundred nineteen over eight

eight over two hundred nineteen

Answer 1

To evaluate x over y + 3z^2, substitute the given values of x, y, and z into the expression:
x = three tenths = 3/10
y = 4 over 5 = 4/5
z = 3

Now, we can evaluate the expression:
x/y + 3z^2
(3/10) / (4/5) + 3(3^2)
(3/10) * (5/4) + 3(9)
(15/40) + 27
15/40 can be simplified by dividing both numerator and denominator by 5:
3/8 + 27
To add the fractions with different denominators, find a common denominator, which in this case is 8. So, we can rewrite the expression as:
3/8 + (8 * 27)/8
3/8 + 216/8
Combine the numerators:
(3 + 216)/8
219/8

Therefore, x over y + 3z^2 equals two hundred nineteen over eight.