Answer:
9. 1.24 mL
10. $5.93
Step-by-step explanation:
<u>Question 9:</u>
If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:
Dosage of medicine per pound of body weight x Total body weight = Total medicine required
OR
0.01 * w = m,
where w is total body weight and m is total medicine required.
To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):
0.01 * 124 = m
1.24 = m
Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.
<u>Question 10:</u>
To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):
0.15 * Total bill = Total tax payed for bill (Also can be written as
)
OR
0.15*39.51 = Total tax
5.9265 = Total tax
5.93 = Total tax <-------- (rounded)
Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.
Answer: area = 379.7 mm²
Perimeter = 95.84 mm
Step-by-step explanation:
The composite shape contains a semi circle and a trapezoid.
The area of a semi circle is
1/2 × πr²
Radius = diameter/2
Radius = 20/2 = 10 mm
Area = 1/2 × 3.14 × 10 = 15.7 mm²
Area of trapezoid is expressed as
1/2(a + b)h
Area = 1/2 × (20 + 32)14
Area = 1/2 × 52 × 14) = 364mm²
Area of the composite shape is
15.7 + 364 = 379.7 mm²
Formula for determining the perimeter of the semicircle is
1/2 × πd
Perimeter = 1/2 × 3.14 × 20 = 31.4mm
Looking at the attached photo, we would determine the slant height,h, by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 12² + 14² = 340
h = √340/= 18.44
Perimeter of the composite shape is
31.4 + 14 + 32 + 18.44 =95.84 mm
<h3>
Answer: 0</h3>
Explanation:
The single digits are {0,1,2,3,4,5,6,7,8,9}
So naturally 0 is the first thing to test.
The number 270 is a multiple of 9 because 9*30 = 270. The digits of 270 add to 2+7+0 = 9 showing that it's a multiple of 9. Refer to the "divisibility by 9 rule".
The next possible value of y will be 9 units higher than y = 0, so we go for y = 9. Meaning that 279 is also a multiple of 9 (because 2+7+9 = 18 is a multiple of 9).