Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.
And we solve from there:
So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Answer:
Gabriela Can Make 6 Bows.
Step-by-step explanation:
30 ÷ 5 = 6
So Gabriela Has Enough Ribbon To Make 6 Bows.
Answer:
No solution
Step-by-step explanation:
To eliminate is to get rid of one of the variables.
You can choose to either add each term in the equations or subtract each term in the equation.
For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.
Try adding them.
. y - x = 15
<u>+ y - x = 5</u>
2y - 2x = 20 No variables were eliminated.
Try subtracting.
. y - x = 15
<u>- y - x = 5</u>
0y - 0x = 10 All variables were eliminated.
. 0 = 10 This is false.
This system of equations cannot be solved.
Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.
Answer:
2282 tablespoons
and 1 teaspoon
Step-by-step explanation:
