Question

WILL FAN AND MEDAL
Find the number halfway between 1/2 and 5/6
A.7/10
B.13/20
C.27/40
D.2/3

Answer 1

The half-way point between any two numbers is the average fo the numbers. To fidn the average we add the two numbers and then divide by two. \[\frac{1}{2}+\frac{5}{6}=\frac{3}{6}+\frac{5}{6}=\frac{8}{6}\]\[\frac{\frac{8}{6}}{2}=\frac{8}{6} \times \frac{1}{2}=\frac{4}{6}=\frac{2}{3}\]
(D)

Answer 2

can you help me in some more questions?

Answer 3

Sure

Answer 4

Write the expression in simplified radical form

Answer 5

\[\sqrt{80}=\sqrt{5 \times 16} = \sqrt{(4 \times 4) \times 5}=4\sqrt{5}\]

Answer 6

Solve for x
5x^2-45=0
A.(3,-3)
B.(3)
C.(9)
D.(9,-9)

Answer 7

\[5x^{2}-45=0\]\[5x^{2}=45\]\[x^{2}=9\]\[x=\sqrt{9}\]\[x=3\]

Check:
\[5(3^{2})-45=0\]\[5(9)-45=0\]\[45-45=0\]\[0=0\] CHECKS

Answer 8

Also -3 since \[(-3)^{2} = 9\] as well.

Answer 9

So it can just be B.(3)

Answer 10

Find the number halfway between:\(\dfrac{1}{2}\) and \(\dfrac{5}{6}\)

\(\dfrac{1}{2} = \dfrac{3}{6}\) so

What's halfway between \(\dfrac{3}{6}\) and \(\dfrac{5}{6}\)?

\(\dfrac{4}{6}\) is exactly between the two fractions, and \(\dfrac{4}{6}\) reduces to \(\dfrac{2}{3}\)