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photoshop1234 [79]
3 years ago
10

Huixian needs to pack 171 pens 63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among

gift bags.find the largest number of gift bags can be packed
Mathematics
2 answers:
e-lub [12.9K]3 years ago
7 0

Answer:

The largest number of gift bags that can be packed is:

9

Step-by-step explanation:

To find The largest number of gift bags that can be packed, we need to find the greatest common divisor of these numbers.

Listing the prime factorization's for each number:

171 = 3 x 3 x 19

63 = 3 x 3 x 7

27 = 3 x 3 x 3

As we can clearly see from the prime factorization the greatest common factor of these numbers is 9(3×3)

The largest number of gift bags that can be packed is:

9

schepotkina [342]3 years ago
4 0
To find The largest number of gift bags that can be packed, you will need to find the biggest way all three of these numbers can be divided evenly. You can find this answer by finding the greatest common factor.

I will show this by listing the prime factorization's for each number, and then we will look for all the common factors.

171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3

All three lists share two 3s. The means that the biggest way they could be divided is into nine bags (3 x 3).
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Given below are lease terms at the local dealership. What is the total
tiny-mole [99]

Answer:

Depreciation fee = $5,850

Step-by-step explanation:

Kindly check attached picture for detailed calculation

3 0
3 years ago
Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor
kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper​

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 =  8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

                                              = 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

                                              = 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

                                              = 23.43 ≈ 23 grams

So,

A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

                                              = 49.697 ≈ 50 grams

So,

A person weights 80 kg can consume Snapper fish = 50 grams

6 0
3 years ago
Find the area and the perimeter of the shaded regions below. Give
PolarNik [594]

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

<h3>How to find the area of the composite figure</h3>

The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:

A = (1/2) · AB · BC + (π/8) · BC²     (1)

If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:

A = (1/2) · (6 cm)² + (π/8) · (6 cm)²

A ≈ 32.137 cm²

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

To learn more on composite figures: brainly.com/question/1284145

#SPJ1

8 0
1 year ago
11 to the 3rd power + 3 to the 2nd power?
Sergio039 [100]
The would be something about 1779556

(hope this helps)
8 0
3 years ago
Read 2 more answers
Check my answer please
Aleksandr [31]
So it is an isosceles triangle that means that the bottom two angles are equal...
so 
40 = 5x 
divide both sides by 5 and you get 8

now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40

You are correct!!! :)
5 0
3 years ago
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