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lianna [129]
2 years ago
8

Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Shou

ld Donald dark 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets?
Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

  • This question is solved by proportions, using a <em>rule of three</em>.
  • 4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The <em>rule of three</em> is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

4x = 0.2

x = \frac{0.2}{4}

x = 0.05

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check brainly.com/question/24372153

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Nutka1998 [239]

Answer:

y=\frac{8}{9}x- \frac{11}{9}

6 0
3 years ago
PLEASE SHOW ALL THE STEPS THAT YOU USE TO SOLVE THIS PROBLEM
Mademuasel [1]

Answer:

{x = 1 , y=1, z=0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

{-2 x - y + z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x - 3 y - 2 z = -3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+3 y + 2 z = 3 | (equation 2)

{0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y + 6 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+5 y+0 z = 5 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

{0 x+y+0 z = 1 | (equation 2)

{0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer:  {x = 1 , y=1, z=0

6 0
3 years ago
What must be true of the side lengths in order to build a triangle with only two angles the same size?
ale4655 [162]

Answer:

A triangle with two angles of the same size is an isosceles triangle. So two of its sides are going to have the same measure and the third different. The length of the sides will depend on the height of the measure of the given angles.

Step-by-step explanation:

Isosceles triangles can be classified into an isosceles right triangle, isosceles obtuse, isosceles acute depending on the measurements of its internal angles.

6 0
3 years ago
-4(x - 2) - 3x = 2(5x - 7) + 6
Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

c(a-b)=ca-cb

Then, applying this, you get:

-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6

Combine like terms means that you need to add the like terms.

Therefore, you get:

-7x+8=10x-8

You can observe that the expression obtained matches with the expression provided in the last option.

3 0
3 years ago
What is the solution for x in the equation 0.5x+4+0.9x=x+5
lorasvet [3.4K]

Answer: x=0.4

Step-by-step explanation:

0.5x + 4+0.9x = x+5

1.4x-x= +1

0.4x=1

X=0.4

Hope this helps

3 0
3 years ago
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