Answer: 26 items
Step-by-step explanation:
Let x denotes the last year's output.
Given : A company has determined that it must increase production of a certain line of goods by 112 times last years production.
The new output will be 2885 items.
According to the above statement we have the following equation :-
Divide both sides by 112, we get
Hence, the last year's output =26 items
Answer:
Fraction of jokes of Brandon that are funny = 
Step-by-step explanation:
We are given that, 30% of the Brandon's jokes are funny.
Now, to convert percent into fraction, we will multiply it by 
Now,
∴ of the Brandon's jokes were funny.
Answer: The system of equations has NO SOLUTION.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following system of equations:
Write the first equation and solve for "y" in order to express it in Slope-Intercept form:
You can identify that:
Apply the same procedure with the second equation. Then:
You can identify that:
The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.
Step-by-step explanation:
United States congressional apportionment is the process[1] by which seats in the United States House of Representatives are distributed among the 50 states according to the most recent decennial census mandated by the United States Constitution. Each state is apportioned a number of seats which approximately corresponds to its share of the aggregate population of the 50 states.[2] However, every state is constitutionally guaranteed at least one seat.

Allocation of congressional districts in the House of Representatives after the 2010 U.S. Census

Allocation of congressional districts after the 2000 U.S. Census

The 435 seats of the House grouped by state (post-2010 Census reapportionment)
The number of voting seats in the House of Representatives has been 435 since 1913, capped at that number by the Reapportionment Act of 1929—except for a temporary (1959–1962) increase to 437 when Alaska and Hawaii were admitted into the Union.[3] The Huntington–Hill method of equal proportions has been used to distribute the seats among the states since the 1940 census reapportionment.[1][4] Federal law requires the Clerk of the United States House of Representatives to notify each state government of the number of seats apportioned to the state no later than January 25 of the year immediately following each decennial census.
The size of a state's total congressional delegation (which in addition to representative(s) includes 2 senators for each state) also determines the size of its representation in the U.S. Electoral College, which elects the U.S. president.
Answer:
Consider the proposition C=(p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
Step-by-step explanation:
This compound proposition C uses the outer disjunction (∨) then the proposition is true if and only if one of the three propositions (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.
First, it is impossible that two or three of these propositions are simultaneously true. For example, if (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjuntion) and r is true (from the second one), a contradiction. All the other possibilities can be discarded reasoning in the same way.
Since these propositions are mutually excluyent, C is true if and only if exactly one of the three propositions is true (and false otherwise). This can only happen if exactly two of p,q, and r are true and the other one is false. For example, (p∧q∧¬r) is true when p and q are true, and r is false.
