The answer to the question is the first, third and fifth
Answer:
897 liters
Step-by-step explanation:
The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

Solve by cross multiplying.
8y = 5(552)
8y = 2,760
y= 345
345 liters of synthetic oil.
Together 552+345= 897 liters of motor oil.
The appropriate formula is C = 2*pi*r.
Here, C = 2*pi*(50 units) = 100*pi units (answer)
Answer:
Step-by-step explanation:
we know that
In a join variation, If j varies jointly with respect to g and v, the equation will be of the form
where k is a constant
step 1
Find the value of k
we have
j=2,g=4,v=3
substitute and solve for k
The equation is equal to
step 2
Find the value of j when g=8,v=9
substitute the values in the equation and solve for j
Answer:
The augmented matrix for the system of equations is
.
Step-by-step explanation:
This system consists in three equations with three variables (
,
,
).The augmented matrix of a system of equations is formed by the coefficients and constants of the system of linear equations. In this case, we conclude that the system of equations has the following matrix:
![\left[\begin{array}{cccc}0&2&-3&1\\7&0&5&8\\4&1&-3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%262%26-3%261%5C%5C7%260%265%268%5C%5C4%261%26-3%266%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix for the system of equations is
.