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Svetradugi [14.3K]
3 years ago
15

In an automobile parts factory, for every 175 carburetors 3 are found to be defective. At that rate how many carbureatots out of

1,050 could be expective to be detective.
Mathematics
1 answer:
Furkat [3]3 years ago
8 0

Answer:

At the same  rate 18  carburetors out of 1,050 could be expected to be detective.

Step-by-step explanation:

The number of carburetors tested = 175

Defective pieces out o f 175 = 3

So, ratio of defected to tested =    3   :    175

Now, the number of carburetors tested in second batch = 1,050

Here, let the defective pieces = m

So, by the Ratio of Proportion,

\frac{3}{175}  = \frac{m}{1050}

or, m = \frac{1050  \times 3}{175}  = 18

⇒ m = 18

Hence, at the same  rate 18  carburetors out of 1,050 could be expected to be detective.

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A small plane is flying a banner in the shape of a rectangle. The area of the banner is 144 square feet . The width of the banne
Margarita [4]

Answer:

The answer to your question is width = 6 ft; length = 24 ft

Step-by-step explanation:

Data

Area = 144 ft²

width = w

length = l

The width is 1/4 of the length

Formula

Area = width x length = w x l

Length = 4 width     l = 4w

Process

1.- Substitute length in the first equation

                       Area = w(4w)

Simplify

                       Area = 4w²

2.- Solve for w

                      w = \sqrt{\frac{Area}{4}}

Substitution

                      w = \sqrt{\frac{144}{4}}

Simplification

                      w = \sqrt{36}

Result

                      w = 6 ft

3.- Find l

                       l = 4(6)

                       l = 24 ft

8 0
3 years ago
Is 33,44,55 a right triangle?
Paul [167]

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

a^{2} + b^{2} = c^{2}

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

33^{2} + 44^{2} = 55^{2}

If this works, we know it's a right triangle.

1089 + 1936 = 3025

3025 = 3025

It worked! It's a right triangle!!

6 0
2 years ago
Read 2 more answers
Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc
Bas_tet [7]

Using the least common factor, it is found that:

  • a) 60 packages should be bought.
  • b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>
  • The sizes of the packages are: 10, 6, 15 and 12.
  • To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
  • The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0
1 year ago
An outdoor deck is 7 feet wide. The perimeter of the Deck is 64 feet. what is the length of the deck?
arsen [322]
Multiply and you get 25

8 0
3 years ago
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Simplify: <br> 3(n-2) <br><br> whats the answer?
Pie

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

3 0
2 years ago
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