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Maksim231197 [3]
1 year ago
14

Solve the problems involving (HCF) highest common factor for each of the the following

Mathematics
1 answer:
Karolina [17]1 year ago
5 0

Step-by-step explanation:

the highest or greatest or largest common factor is the product of the prime factors the numbers have in common :

540 ÷ 2 = 270

270 ÷ 2 = 135

135 ÷ 2 no

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 3 no

5 ÷ 5 = 1

540 = 2² × 3³ × 5¹

360 ÷ 2 = 180

180 ÷ 2 = 90

90 ÷ 2 = 45

45 ÷ 2 no

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 3 no

5 ÷ 5 = 1

360 = 2³ × 3² × 5¹

so, the HCF = 2² × 3² × 5¹ = 4×9×5 = 180

(1)

to satisfy the condition max. 180 visitors can be invited.

(2)

540 / 180 = 3

so, every visitor can receive 3 pieces of chicken.

and 360 / 180 = 2 cups of drink.

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Morgarella [4.7K]

The simplified form of the expression √(100x³⁶) will be 10x¹⁸. Then the correct option is A.

<h3>What is simplification?</h3>

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √(100x³⁶)

Then the simplified form of the expression will be

⇒ √[(10x¹⁸)²]

⇒ 10x¹⁸

Then the correct option is A.

More about the simplification link is given below.

brainly.com/question/12616840

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2 years ago
3. What is the y-intercept in the equation y= -2x + 5
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。☆✼★ ━━━━━━━━━━━━━━  ☾

Equations are generally in the form of:

y = mx + c

where m is the gradient and c is the y intercept

As you can see, in this equation, the y intercept is 5

Thus, your answer is C. 5

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8 0
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The Spanish club is selling plates of food as a fundraiser. A plate with 2 tacos, 2 cheese enchiladas, and 1 tamale costs $8.50.
frutty [35]

Answer:

Step-by-step explanation:

Put the numbers that represents tacos, enchiladas and tamales in front of x, y and z

For instance,

2x+2y+1z=8.50

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3 years ago
Marco drove 75 miles in 1 2/3 hours. how many miles ca he drive in 1 hour?
GenaCL600 [577]

Answer:

  • <u>45 miles</u>

Explanation:

The distance driven is directly proportional to the time:

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Which can also be written as:

  • distance₁ / time₁ = distance₂ / time₂

Here you have:

  • distance₁ =75 miles
  • time₁ = 1 + 2/3  hours = (3 + 2) / 3 hours = 5/3 hours
  • distance₂ = x
  • time₂ = 1 hour

With that you can set up a proportion:

  • 75 miles / (5/3) hour = x₂ / 1 hour

Solving for x₂ you get:

  • x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
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Answer:

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