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valina [46]
2 years ago
3

Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden and divides the rest equally into 10 flower

pots. What fraction if a package of seeds is planted in each flower pot?
Mathematics
1 answer:
Ivan2 years ago
6 0
He has 3/4 package and plants 1/6 of seeds.

3/4 * 1/6 = 1/8

He divides the rest equally into 10 flowerpots. What is the rest? In order to know what "the rest" is, you must subtract 1/8 from 3/4. Find the common denominator of 4 and 8 which is 8. Multiple the numerator 3 * 2= 6 with a denominator of 8.

3/4 - 1/8 = 6/8 -1/8
= 5/8

5/8 is left to be divided equally into 10 flowerpots.

5/8 ÷ 10/1
= 5/8 * 1/10
= 5/80
= 1/16
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Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?
Vanyuwa [196]

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}

\frac{x}{250}=\frac{1}{125}

x=\frac{1}{125} \times 250

x=\frac{250}{125}

x=2

Hence correct choice is C. 2 mL.

4 0
2 years ago
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of
STALIN [3.7K]

Answer:

The quantity is 12

Step-by-step explanation:

Here, we want to find the solution to the equation.

Let the quantity we are looking for be x;

According to the question;

The quantity plus a quarter of the quantity = 15

x + 1/4(x) = 15

x + x/4 = 15

Multiply through by 4

4x + (x/4)*4 = 15 * 4

4x + x = 60

5x = 60

x = 60/5

x = 12

5 0
2 years ago
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KengaRu [80]

Answer:

srtand trv

Step-by-step explanation:

8 0
2 years ago
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To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. T
Nina [5.8K]
Given:
<span>12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.
The tree meets the ground at a right angle. 

When you visualize the scenario, the 12 foot wire would be the measure of the hypotenuse and the 10 feet off the ground will be the short leg or opposite. The long leg or adjacent is unknown. 

We need to solve for sine theta because the value of hypotenuse and opposite is given.

sin </span>θ = opposite / hypotenuse
sin θ = 10 feet / 12 feet
sin θ = 0.833
θ = 0.83 / sin
θ = 56°

The wire would meet the ground at approximately 56° angle.

3 0
2 years ago
The volume Vr (in cubic meters) of a spherical balloon with radius r meters is given by =Vr43πr3. The radius Wt (in meters) afte
Arte-miy333 [17]

Answer:

M_t=\frac{1372}{27}\pi t^9

Step-by-step explanation:

We are given that Volume of spherical balloon in cubic meters

V_r=\frac{4}{3}\pir^3

We have to find the value of volume of the balloon after t seconds.

We are given that radius of spherical balloon after t seconds

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Substitute the value then we get

M_t=\frac{4}{3}\pi(7t^3)^3

M_t=\frac{1372}{27}\pi t^9

Hence, the volume of spherical balloon is given by the formula

M_t=\frac{1372}{27}\pi t^9

7 0
2 years ago
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