Answer:
56 students
Step-by-step explanation:
<u>Given information:</u>
• 448 students total
• of 448 participate in after-school activities
• of those get home after 7 pm
<u><em>To find how many students is </em></u><u><em> of those who participate in after-school activities, you first need to find the exact number of how many participate in after school activities:</em></u>
<u>The amount of students who participate in after-school activities is </u><u> the total number of students. So, multiply 448 × </u><u>:</u>
448 × Multiply.
Simplify into a whole number.
1344 ÷ 8 Divide.
168
of the total students is 168 students.
<u>To find the amount of students that do not get home until after 7 pm, multiply 168 by </u><u>:</u>
168 × Multiply.
Simplify into a whole number.
168 ÷ 3 Divide.
56
The amount of students that participate in after-school activities and get home after 7 pm is 56 students.
If #peaches = x and #plums = y we can write the following equations:
x+y=15
0.89x + 0.39y = 8.85
and x and y are whole numbers.
converting the first to x=15-y and plugging it into the second, you get
0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9
so x = 15-9 = 6
She bought 9 plums and 6 peaches.
Answer:
B is the only solution
Step-by-step explanation:
These inequalities are shown in the attached picture. Which can be obtained drawing y > -2 (an horizontal line at y=-2, the region is above). and y<= 4-x, a line with a negative slope of -1 and intercept point of 4.
Any ordered pair, located inside the interception between these two regions is a solution of the system.
A. is Outside, below the horizontal line
B. is not clear by graph, hence, lets evaluate it in both inequalities
3>-2 (satisfies)
1+3<=4 (satisfies)
Hence B is a solution.
C. Is outside, we can evaluate it just to make sure:
5>-2 (satisfies)
1+5<= 4 (not true)
Hence C is not a solution.
D. is outside