One of the formulas for calculating the correct dosage for a child is as follows: C= a/((a+12)) ∙ 180 C = child’s dosage in milligrams a = age of the child A = adult dosage in milligrams What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?

Answers

Answer 1

Answer: So you already have the formula for calculating the dosage for child with: C = a/(a+12)x 180 ml Not sure why you have double brackets

variables are: a = child's age, so everywhere you have an "a" replace it with the age of child.

Example: 5 year old child

C = 5/(5+12)*180= 5/(17)*180 = 5/3060 = .0016 ml or milligrams

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Carlos and Maria drove a total of 197 miles in 3.8 hours. Carlos drive the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?

Answers

c=carlos's hour, m=maria
55c+47m=197
c+m=3.8
c=-m+3.8

55(-m+3.8)+47m=197
-55m+209+47m=197
-8m=-12
m=1.5

maria drove 1.5hr or 1 and a half hr.

Hello !

Maria : x $55y+47x=197 \n x+y=3.8 \n y=3.8-x$
Carlos : y

$55(-x+3.8)+47x=197 \n -55x+209+47x=197 \n 209-197=55x-47x \n 12=8x \n12/8=x \n 1.5=x \n \n Maria drove 1.5 hour or 1 hour 30 minute.$

5. Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ...

yes; 7
yes; –7
yes; 14
no
6. What is the 12th term of the sequence 10, 6, 2, …?
–16
–24
–34
–38
7. Find the missing term of the arithmetic sequence 22, ___ , 34, ...
46
16
28
40

Answers

5.
aritmetic is same increase per term
14 to 21 is 7
21 to 42 is 21
7≠21
no

6.
decreases by 4 each time
an=a1+d(n-1)
an=10-4(n-1)
n=12 for 12th term
a12=10-4(12-1)
a12=10-4(11)
a12=10-44
a12=-34

it is -34

7.
missing term is y
22+n=y
y+n=34
22+n+n=34
22+2n=34
minus 22 from both sides
2n=12
divide both sides by 2
n=6
22+n=y
22+6=y
28=y

28 is answer

5. no
6. -34
7. 28

Answer:

5. The correct option is 4. No, the given sequence is not arithmetic.

6.The option 3 is correct and the 12th term of the sequence is -34.

7. The option 3 is correct and the missing term of the arithmetic sequence is 28.

Step-by-step explanation:

The given sequence is

$14,21,42,77$

$d_1=a_2-a_1=21-14=7$

$d_2=a_3-a_2=42-21=21$

Since $d_1\neq d_2$ , therefore it is not an arithmetic sequence. Option 4 is correct.

The given sequence is

$10,6,2,...$

First term is 10 and common difference is -4.

The formula for nth term is

$a_n=a+(n-1)d$

$a_(12)=10+({12}-1)(-4)=10-44=-34$

Therefore option 3 is correct and the 12th term of the sequence is -34.

The given sequence is

22, ___ , 34, ...

In an arithmetic sequence

$2b=a+c$

$2b=22+34$

$2b=56$

$b=28$

Therefore option 3 is correct and the missing term of the arithmetic sequence is 28.

!!!!!!!PLEASE HELP!!!!!!!!!
*35 POINTS PLUS BRAINLIEST PLEASE*

Answers

Well I can’t draw anything out but the 15 foot ladder will be at a slant enough so she can reach the bulb. Yes she will be safe. Hope this helps. ;)

Six less than two thirds of a number is 18. solve.
show an equation

Answers

18=(2/3)x-6
+6 +6
24=(2/3)x
÷(2/3) ÷(2/3)
36=x
check it now
18=((2/3)(36))-6
18=(24)-6
18=18
that is a true statement so x must be equal to 36
x=36

6-2/3=18 That is my answer

You need 1 1/4 cups of sugar to make 20 cookies.To make 14 cookies, you will need how many cups of sugar?

Where do I begin and how do I solve this? Please help!