Answer:
Year 2034
Step-by-step explanation:
In 2000, 64% had one or more pets
<em>Since decreasing at 1% per year, we can say:</em>
<em>In 2001, 63%</em>
<em>In 2002, 62%</em>
<em>In 2003, 61%</em>
<em>In 2004, 60%</em>
<em>And so on</em>
<em />
To go to 30% from 60% in 2004, we would need to decrease 60 - 30 = 30%, and that will occur after 30 more years. So that would be the year
2004 + 30 = 2034
So, year 2034
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
It would be 1284 divided by 9 and then u round it which is 1284 / 9 =142.666 which can be rounded up to 140 or 143
2/10 because there are 10 cards and there are 5 circles and 3 triangles
Answer:
There are 78 female members of the House of Representatives and 14 female members of the Senate.
Step-by-step explanation:
Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.
Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92
Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.
Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.
