Change the left side to improper fractions.
9
--
4
====
3
--
2
Now use the fraction rule. Invert the denominator and multiply that by the numerator.
9 2
== * ==
4 3
18/12 = 3/2 which for now is left alone.
Now work with the fraction on the right side.
1 5/6 = 11/6
Now equate the two results
27/8 = 11/6 // x/1
Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2
18 x = 22
18 x = 22
x = 11/9
x = 1.2222
What are the choices or are there any? The other choice is x = 1.2222
x = 22/18 or
x = 1.22222222 or
x = 11/9
All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.
Check
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.
Answer: 51 sq ft
Step-by-step explanation: 1.5*1.5=3 9*6=54 54-3=51
Answer:
x=15
Step-by-step explanation:
This is a simultaneous equation
2x-3y=45 ------------------------------ equation i
x+y=10 -------------------------------equation ii
from equation ii
x+y=10
make x the subject of the matter
we have,
x=10-y
in equation i
substitute x for 10-y
2x-3y=45----------------------i
since x=10-y
we have,
2(10-y) - 3y=45
20-2y=3y=45
collect like terms
-2y-3y=45-20
-5y=25
divide both sides by -5
we have y=-5
substitute y for-5 in equation i
x+y=10
x+-5=10
collect like terms
x=10+5
x=15
therefore
x=15
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
