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Elodia [21]
3 years ago
6

Abelardo had 3 bags of apples. He gave 2 to his best friend, he gave 3 to his brother, and he fed 1 to his horse. On the way hom

e, he was chased by some dogs and dropped 1 bag. He had 22 apples left when he got home How many apples were in each bag originally? Write an equation and solve it.
Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

number of apples he originally had in each bag was 14 apples

Step-by-step explanation:

We are told that he had 3 bags of apples.

Now, let amount of apples in one bag be x.

Thus, total amount of apples is 3x.

We are told he gave 2 apples to his best friend, he gave 3 to his brother, and he fed 1 to his horse.

This means total given out = 2 + 3 + 1 = 6 apples.

Then, on the way home, he was chased by some dogs and dropped 1 bag.

Thus, amount of apples dropped is 1x = x

Thus;

Amount left on getting home after the entire giving and dropping is;

3x - 6 - x = 2x - 6

Now,we are told that he had 22 apples left when he got home.

Thus;

2x - 6 = 22

2x = 22 + 6

2x = 28

x = 28/2

x = 14 apples

Thus, number of apples he originally had in each bag was 14 apples

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
ILL DO BRAINLIEST
Luden [163]

Answer:

a. X=6°

b. 6(6)-8= 28°

c. 28+( 5(6)-2) = 56°

4 0
2 years ago
A consumer organization estimates that over a​ 1-year period 20​% of cars will need to be repaired​ once, 5​% will need repairs​
gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

<u>a) Neither will need repair:</u>

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

<u>b) Both will need repair:</u>

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

<u>c) At least one car will need repair</u>

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74)  = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0
3 years ago
van purchased a dvd player on sale. the initial price was $175.90. the price after the discount was $141.37. what was the percen
Inessa [10]

Answer: that would be 19.26%

Step-by-step explanation: because it is

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Reil [10]

Answer:

You are right! The answer is c.

Step-by-step explanation:

3 0
3 years ago
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