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Answer:
A. 108 ft².
Step-by-step explanation:
Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:
2(4 ·3) = 2(12) = 24 ft²
2(4· 6) = 2(24) = 48 ft²
2(3 · 6) = 2(18) = 36ft².
Add up the areas of the faces:
24 + 48 + 36 = 108 ft².
Answer: A. 30 students in the lunchroom.
Step-by-step explanation:
A representative sample simply refers to the sample that has same characteristics just like the population.
A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".
When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.
Answer:
<h2>x = -4</h2><h2>y = -4</h2><h2 />
Step-by-step explanation:
-3x + 7y = -16 (-3) to eliminate x
<u>-9x + 5y = 16</u>
<u> 9x - 21y = 48</u>
-16y = 64
y = 64/-16
y = -4
substitute y= -4 into eq. 1
-3x + 7y = -16
-3x + 7(-4) = -16
-3x = -16 + 28
x = 12 / -3
x = -4
<u> check:</u>
-3(-4) + 7(-4) = -16
- 16 = -16 ok
-9x + 5y = 16
-9(-4) + 5(-4) = 16
16 = 16 ok
The solution is attached as a word file
Answer:
112.5
Step-by-step explanation:
The average is calculated as
average = , then
average = = = 112.5