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.
Answer:
78 rounds to 80, so find 10% of 80 and double it. 10% of 80 is 8. So, 20% of 80 is 16. Then, 22% of 78 is a little more than 16.
78 rounds to 80, and 22% is a little less than 25%. 25% (or one-fourth) of 80 is 20. So, 22% of 78 is a little less than 20.
Step-by-step explanation:
x+(x+8)+(x+100)=750
3x+108=750
3x=642
x=214
So your numbers are 214, 222 and 314
Answer:
I cant see the photo
Step-by-step explanation:
sorry
Answer:
Each person get = 20 cents
Step-by-step explanation:
Given - Maya and three friends have three quarters and one nickel to spend.
To find - If Maya and her friends share the money equally how much will each person get ?
Proof -
We know that
1 nickel = 5 cents
1 quarter = 25 cents
As they spent, 3 quarters and one nickel
So,
Total money spent = 3(25) + 5 = 75 + 5 = 80 cents
⇒Total money spent = 80 cents
Now,
Total people = 4 (Maya and three friends )
Now,
Given that, They share the money equally
So,
Each person get =
= 20 cents