Divide both sides by 4/5 or multiply by the reciprocal.
Flip 4/5 to get the reciprocal.
The reciprocal of 4/5 is 5/4 so we will multiply both sides by that.
5/4 * 8/9 = 4/5 * 5/4 * k
4/5 and 5/4 cancel out so now you have
5/4 * 8/9 = k
multiply top and bottom
(5 *8 )/(4*9)
40/36
Simplify
10/9
Answer:
30
Step-by-step explanation:
\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}
Legs: 18, 24Hypotenuse: ?
a^{2}+b^{2}=
a
2
+b
2
=
\,\,c^{2}
c
2
The Pythagorean Theorem
18^{2}+24^{2}=
18
2
+24
2
=
\,\,c^{2}
c
2
Plug in. c is the hypotenuse.
324+576=
324+576=
\,\,c^{2}
c
2
Square the numbers.
900=
900=
\,\,c^{2}
c
2
Add.
\sqrt{900}=
900
=
\,\,\sqrt{c^{2}}
c
2
Square root both sides.
30=
30=
\,\,c
c
The hypotenuse.
Answer: 20-10
Step-by-step explanation: 486-466 is 20. Half of 20 is 10. Any expression that equals ten is 1/2 as large as 486-466.
Answer:
Carolyn's mistake was confusing the selling price of the necklaces with the profit.
Step-by-step explanation:
Let
x-------> the selling price of each necklace
we know that
The linear equation that represent the situation is equal to

solve for x


The profit on each necklace is equal to

therefore
Carolyn's mistake was confusing the selling price of the necklaces with the profit.