Answer:
In standard form the first equation is 3x + 4y = 12
Step-by-step explanation:
In order to find this, we need to solve for the constant and then eliminate the denominators.
y = -3/4x + 3
3/4x + y = 3
3x + 4y = 12
Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
$88.75
Step-by-step explanation:
since he bought two tickets for $25.5 each you have to do 2(25.50) and since he also spent $10 and $27.75 you have to add that as well.
y=2(25.50)+10+27.75
y=51+10+27.75
y=61+27.75
y=88.75
The dog's bowl was empty.
The singer's songs were finished.
1. 5 liters of milk
2. 1,000 kilometers
3. 12 hours
4. Divide the number by two or multiply by 0.5
5. 200 kilometers
6. 1 liter of milk
7. 2.4 hours or 2 hours and 15 min.
8. Multiply the number by 0.1
