Answer:
Megan added the equations together but she subtract 4 instead of addition of 4. The correct solution is (1,6).
Step-by-step explanation:
The given equations are
...(1)
.... (2)
Add both equations to eliminate x.
Megan make a mistake in this step. She added the equations together but she subtract 4 instead of addition of 4.
Divide both sides by 4.
Put this value in equation (1).
Divide both sides by 2.
Therefore the correct solution is (1,6).
Answer: Option A.
Step-by-step explanation:
The angle ∠QST and the angle ∠QSR are supplementary.
If two angles are supplementary, means that the sum of both angles is 180 degrees.
Thenrefore
Solve for the angle ∠QSR and substitute the value of the angle ∠QST to find the value of the angle ∠QSR. Then, solving the equation, you get:
Then 
is:
This matches with the option A.
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
First blank: 230
Second blank: 200.6
Third blank: 113.4
ANSWER: $190
EXPLANATION:
$100.000 - savings account
$6.72 - lunch
$10.84 - soccer ball
$42.95 - video game
$29.49 left
---------------------------
$100 + $6.72 + $10.84 + $42.95 + $29.49
= $190
