Answer:

Step-by-step explanation:
Given the expression

<u>Expand and simplify the expression</u>

Expand 4(2x + 7) = 8x + 28

Expand -3(x + 5) = -3x - 15

Group like terms

Add similar elements: 8x - 3x = 5x

Simplify

Therefore, we conclude that:

12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls
Answer:

Step-by-step explanation:

Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
To answer this item, let us convert first one of the given dimension such that both numbers will take only the same units for easier comparison. It should be noted that every liter (L) is consists of 1000 mL.
Aria: (500 mL)(1 L/1000 mL) = 0.5 L
Andrea: 0.75 L
Since, 0.75 L is higher compared to 0.5L, the answer to the item is Andrea.