Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
To find how much medicine should he be given.
Assign a variable. Write a sentence that gives the information to find it.
Translate into a proportion be careful of the units.
Multiply both sides by the Least Common Denominator and simplify. Check the answer.

Step 1 of 3

Write the data in mathematical form and simplify.

Let x=the number of teaspoon

If 1 teaspoon medicine is 5 pounds then 85 pounds is how many teaspoon of medicine.

Translate the statement into proportion.

$\begin{aligned}\frac{\text { pounds }}{\text { teaspoon }} &=\frac{\text { pounds }}{\text { teaspoon }} \\\frac{5}{1} &=\frac{85}{x}\end{aligned}$

Step 2 of 3

Multiply both sides by x and simplify

$$x(5)=\frac{85}{\bcancel{x}}(\bcancel{x})$

5x=85

Divide by 5,

$x=\frac{85}{5}$

Simplify, x=19

Step 3 of 3

Check the answer.

Substitute x=19 in original proportion and simplify.

$$$\begin{aligned}\frac{5}{1} &=\frac{85}{x} \\5 &=\frac{85}{19}\end{aligned}$\\ \\ Hence, $5=5$, True$

5 0

1 year ago

e-lub [12.9K]

Because the 16 is inside the parentheses also.

4 0

3 years ago

Rainbow [258]

Answer:

9) VU = 15

SU = 21.21

TV = 21.21

SW = 10.61

10) OM = 46

PN = 23

ON = 46

MN = 46

Step-by-step explanation:

9) SU = TV = √15²+15² = 21.21

SW = 21.21/2 = 10.61

10) PN = 46/2 = 23

3 0

3 years ago