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Evgesh-ka [11]
3 years ago
11

On the medicine bottle it says 2 grams for a 60 lb person. the child weighs 105 lbs. how much medicine should they get?

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

3.5 Grams

Step-by-step

set 2grams/60lbs equal to xgrams/105

x representing the amount of medicine needed for a 105lb child

Then you divide 60 by 105.

60/105=1.75

Now you multiply 2 by 1.75.

2 x 1.75 = 3.5

3.5 is your answer because 105 is 1.75 times more lbs than 60lbs

meaning you would need 1.75 times the amount of 2grams

to determine the value of x, which is 3.5grams

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The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism
AleksAgata [21]

Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
8 0
2 years ago
What is the greatest common factor of the numerator of ?
Annette [7]

The greatest common factor of the numerator and denominator of the rational expression is x - 4

<h3>How to determine the greatest common factor?</h3>

The fraction expression is given as:

\frac{5x-20}{x^2-2x-8}

Factorize the numerator and the denominator

\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}

Cancel out the common factor

\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}

The common factor that was canceled out is x - 4

Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4

Read more about greatest common factors at:

brainly.com/question/10076354

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4 0
2 years ago
In the following exercises, write the first five terms of the sequence whose general term is given.
Sladkaya [172]

Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

a_n = 7n - 5

       a_1 = 7*1 - 5  = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30

4 0
2 years ago
N is less then 6 units from 0 <br><br><br><br> What is the answer?
alekssr [168]

The answer would be negative 6 or -6.

Hope this helps!

5 0
3 years ago
Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) Superscript x Four
Natalka [10]

Answer:

Four-fifths

Step-by-step explanation:

As we know that

By multiplying the function by a constant, we may expand or shrink the function in the y-direction.

Now we have

y=a(b^{x})

if a> 1  > the function would enlarge

if 0< a < 1 > the function would shrinks

Now

For case A

a = \frac{4}{5}

0 < (\frac{4}{5} )< 1 ....... > the function would shrinks

For case B

a = \frac{5}{4}

(\frac{5}{4} )>1 .......> the function would enlarge

For case C

a = \frac{3}{2}

(\frac{3}{2} )>1 .........> the function would enlarge

For case D

a = \frac{7}{4}

(\frac{7}{4} )>1 .........> the function would enlarge

Therefore the second option is correct

5 0
3 years ago
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