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timama [110]
1 year ago
9

A man is 6 feet 2 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The

length of the man's shadow was 2 feet 1 inch. The length of the tree's shadow was 3 feet 7 inches. What is the height of the tree?
A. 10.75ft
B. 10.9ft
C. 14.3ft
D. 12.9ft
Mathematics
1 answer:
Readme [11.4K]1 year ago
3 0
Here's my work. Hope it helps.
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
borishaifa [10]

Let x represent number of bracelets and y represent number of necklaces.

We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be x+7. We can represent this information in an equation as:

y=x+7...(1)

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be 6x grams.

We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be 16y grams.

Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

6x+16y=178...(2)

Therefore, our required system of equations would be:

y=x+7...(1)

6x+16y=178...(2)

8 0
1 year ago
In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had
mr_godi [17]

Answer:

When Mary raises the probability that she has a better hand is 0.273

Step-by-step explanation:

In the poker game it is given that the probability that Mary has a better hand than John is 0.04.

Let the event that Mary has a better hand than John be A.

Let the event that that Mary raises the stakes be B.

It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9

Therefore p(B | A) = 0.9

If Mary has a poorer hand she will raise with a probability of 0.1

Therefore p(B | A') = 0.1

Given that Mary raises the probability that she has a better hand is given by

p(A | B)

 = \frac{p(A\cap B)}{p(B)} = \frac{p(A)p(B | A)}{p(A)p(B | A) + p(A')p(B | A')}  = \frac{(0.04 \times 0.9) }{(0.04 \times 0.9) + (0.96 \times 0.1)}  = \frac{36}{36 + 96}  = \frac{36}{132}  = \frac{3}{11}

= 0.273

So when Mary raises the probability that she has a better hand is 0.273

3 0
2 years ago
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
dezoksy [38]
The answer is the test contains 10 3pt questions and 14 5 pt questions. Any questions please just ask!!! thank you!
8 0
1 year ago
Read 2 more answers
Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of
Scilla [17]

Answer:

x≥38 points

Step-by-step explanation:

Julio wants to break his school’s scoring record of 864 points during his 24-game basketball season. During the first 8 games of the season, he scored a total of 256 points. Which inequality can be used to find x, the number of points Julio must average per game during the rest of the season to break the record?

julio has a 24 game basketball season.

he has played 8, it means there are 16 more games to go

therefore=

he has scored 256 nts, wic means there are still 608 points to go .

864-256=608

x is the points he more score per every game.

16x=608

to break the records ,he must score an extra point 1

so 16x≥608

x≥38

8 0
1 year ago
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Ming-Li spent $15 at the movies. She then earned $30 babysitting . She spent $12 at the bookstore. She now has $18 left . How mu
Musya8 [376]
Ming-Li had $75 to begin with. Just add all the numbers
8 0
2 years ago
Read 2 more answers
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