Is (2,12) a solution to the given system? y>2x+4 y<3x+7 Yes No What is the solution of the system of equations shown below
? 2x+2y=10 5x-2y=4 (-2,7) (2,7) (2,3) (3,2) The point (-3,11) is a solution of which of the following systems?
y≥x-2 2x+y≤5 y>x+8 3x+y>2 y>-x+8 2x+3y≥7 y≤-3x+1 x-y≥-15 Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar?
3 7 14 21 Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y).
x+y=50 3x-y=102 Part of the solution of the system of equations is x=38. What does this value represent?
the number of points Steve lost from questions he answered incorrectly
the number of points Steve earned from questions he answered correctly
the number of questions Steve answered correctly the number of questions Steve answered incorrectly Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album?
x+y<14 3x+5y≤72 x+y≤14 3x+5y<72 x+y≤72 3x+5y<14 x+y<72 3x+5y≤14
<span>Is (2,12) a solution to the given system? y>2x+4 y<3x+7
Yes
What is the solution of the system of equations shown below? 2x+2y=10 5x-2y=4
(2,3)
The point (-3,11) is a solution of which of the following systems? y≥x-2
Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar? 21
Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y). x+y=50 3x-y=102 Part of the solution of the system of equations is x=38. What does this value represent?
the number of points Steve earned from questions he answered correctly
Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album? 3x+5y≤72</span>
First simplify the section in the parenthesis. -1/6 + 2/3(8 1/4) + -1/2 Then multiply 2/3 by 8 1/4. -1/6 + 5 1/2 + -1/2 Add -1/2 to 5 1/2. -1/6 + 5 Add 5 to -1/6. 4 5/6 is the fully simplified answer. Hope this helps!
