Answer:d=5/3x
Step-by-step explanation:
Let's solve for d.
(2/3x)(d)=10/9
Step 1: Divide both sides by (2x)/3.
2/3dx / 2x/3=10/9 / 2x/3
d=5/3x
If the number is x then this is
5x^3 - 10.
<h3>Solution and Explanation:</h3>
If
and
are directly proportional, then they must have a common scalar.
To find
we must first find its scalar. If we let
be the scalar we can form the equation,
.
We are given the information that if
then
. We can use that in finding the scalar.
![a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}](https://tex.z-dn.net/?f=a%20%5Ctimes%209%20%3D%207.5%20%5C%5C%20%5Cfrac%7Ba%20%5Ctimes%209%7D%7B9%7D%20%3D%20%5Cfrac%7B7.5%7D%7B9%7D%20%5C%5C%20a%20%3D%20%5Cfrac%7B75%7D%7B90%7D%20%5C%5C%20a%20%3D%20%5Cfrac%7B15%7D%7B18%7D)
Now we can solve for
when
knowing that our scalar is
.
![ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q](https://tex.z-dn.net/?f=ap%20%3D%20q%20%5C%5C%20%5Cfrac%7B15%7D%7B18%7D%20%5Ctimes%2024%20%3D%20q%20%5C%5C%20%5Cfrac%7B360%7D%7B18%7D%20%3D%20q%20%5C%5C%2020%20%3D%20q)
<h3>Answer:</h3>
when ![p = 24](https://tex.z-dn.net/?f=p%20%3D%2024)
X + y = 47
x - y = 3
--------------add
2x = 50
x = 50/2
x = 25
x + y = 47
25 + y = 47
y = 47 - 25
y = 22
ur numbers are 22 and 25