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Ostrovityanka [42]
3 years ago
12

1) Solve the word problem for the portion, rate, or base.

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

1) 0.6% of the production is defective.

2) Ana will owe $570.

Step-by-step explanation:

Both questions here are percentage problems

Percentage problems can be explained as a rule of three problem

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

Percentage problems have a direct relationship between the measures.

1) The problem states that a quality control process finds 46.8 defects for every 7,800 units of production. And asks what percent of the production is defective? We have to answers how many defects are there for 100 units of production. So:

46.8 defects - 7,800 units

x defects - 100 units

7,800x = 4680

x = \frac{4680}{7800}

x = 0.6

0.6% of the production is defective.

2) The problem states that the medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. The total bill is expected to be about $4,800.

Ana has to pay:

P = P1 + P2

-P1 :The first $100

-P2: 10% of the remaining expense. The remaining expense is $4,800-$100 = $4,700. Ana has to pay 10% of this. So

4700 - 100%

P2 - 10%

100P2 = 47000

P2 = \frac{47000}{100}

P2 = $470

Ana will owe P = P1 + P2 = $100 + $470 = $570.

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How many numbers between 1 and 100 (inclusive) are divisible by 4 or 5
BaLLatris [955]

Answer: 40 numbers

Step-by-step explanation:

For us to do this, we will have to group the numbers in groups of 20.

You should note that from 1 to 20, there are 5 numbers that are divisible by 4 which are 4, 8, 12, 16, 20.

Also, there are 5 "20s" that are in 100, therefore 5 X 5 = 25 numbers that are divisible by 4.

Likewise, there are also 4 numbers that are divisible by 5 which are 5 , 10 , 15 , 20.

There are also 5 "20s" in 100, thos will give 5 x 4 = 20 numbers that are divsible by 5.

However, we have to subtract the numbers that are divisible by both 4 and 5 in order to prevent double counting.

These are 20, 40, 60, 80 and 100.

Thereforee, we will have:

25 + 20 - 5 = 40 numbers that are divisible by 4 or 5 from 1-100.

6 0
2 years ago
5^x + 5^x+1= 150<br> Find x<br> Help me pls i need soon<br> Tksss
raketka [301]

Answer:

x=2

Step-by-step explanation:

So we have the equation:

5^x+5^{x+1}=150

First, separate the second term:

5^x+(5\cdot5^x)=150

Let u equal 5ˣ. So:

u+5u=150

Combine like terms:

6u=150

Divide both sides by 6:

u=25

Substitute back u:

5^x=25

Take the base 5 logarithm of both sides:

\log_5(5^x)=\log_5(25)

The left cancels:

x=\log_5(25)

Evaluate the right:

x=2

So, our answer is 2.

And we're done!

5 0
3 years ago
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sin(α) = opposite/hypotenuse
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now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
8 0
3 years ago
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Answer:

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Step-by-step explanation:

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