Answer:
Step-by-step Simplifying
6 + -3x = 4 + -1x + -3 + -2x
Reorder the terms:
6 + -3x = 4 + -3 + -1x + -2x
Combine like terms: 4 + -3 = 1
6 + -3x = 1 + -1x + -2x
Combine like terms: -1x + -2x = -3x
6 + -3x = 1 + -3x
Add '3x' to each side of the equation.
6 + -3x + 3x = 1 + -3x + 3x
Combine like terms: -3x + 3x = 0
6 + 0 = 1 + -3x + 3x
6 = 1 + -3x + 3x
Combine like terms: -3x + 3x = 0
6 = 1 + 0
6 = 1
Solving
6 = 1
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Using multiplication signal rules, it is found that:
A: Emma's statement is always false.
B: The result is always negative.
C: Emma's statement is always true.
The rule used for this exercise is as follows:
- When two numbers of different signals are multiplied, the result is negative.
- When two numbers have the same signal, the result is positive.
Part A:
- Three numbers are multiplied, all negative.
- The multiplication of the first two result in a positive number.
- Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.
Two examples are:


Part B:
The rule is that the result is always negative.
Part C:
- The multiplication of the first two negative numbers result in a positive number.
- Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.
Two examples are:


A similar problem is given at brainly.com/question/24764960
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have

here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get

or
t² = 75.433
or
t = 8.68 seconds
Answer:
120 people voted against building the new basketball court.
Step-by-step explanation:
if you divide 200 by 100 then you know how many people equal 1 percent of the 200. knowing that for every 2 people they are equal to 1 percent. so if you do 100 -40 you get 60. the 100 represents the 100 percent and you subtract 40 because these are the people who are voting for the basketball court. The 60 represents the percent of people who are voting against building the basketball court. then you multiply 60 by 2 and you get 120.
389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 0.50

Putting y=224 in Eqn 1

389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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