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Nat2105 [25]
4 years ago
11

Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his

farm originally? How much land does he have now? <3
Mathematics
1 answer:
Furkat [3]4 years ago
3 0

Answer:

His original farm was 333 1/3 acres

He has 66 2/3 acres of his land left

Step-by-step explanation:

Lex

His total farmland = x

1/2 of x = Mr frost

100 acres = Mr slate

Remaining = 1/5x

His total farmland = Mr Frost + Mr slate + remaining farmland

x = 1/2x + 100 + 1/5x

x = 5x+2x/10 + 100

x = 7/10x + 100

x - 7/10x = 100

10x-7x/10 =100

3/10x = 100

Divide both sides by 3/10

x = 100 ÷ 3/10

= 100 × 10/3

= 1,000/3

= 333 1/3 acres

His original farm was 333 1/3 acres

He has 1/5 of his original farm

1/5 × 1000/3

= 1,000 / 15

= 66 10/15

= 66 2/3 acres

He has 66 2/3 acres of his land left

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50 people entered a fishing contest over 3 days to see who could catch the most fish.
tamaranim1 [39]

Answer:

5,175 fish

Step-by-step explanation:

To figure out the total you have to add all the fish together.

Day 1: 750 + 300 + 250 = 1,300 fish were caught on Day 1

Day 2: 720 + 455 + 400 + 50 = 1,625 were caught on Day 2

Day 3: 2,250 were caught on Day 3

Then, add those three numbers

1,300 + 1,625 + 2,250 = 5,175

6 0
3 years ago
Read 2 more answers
Solve the variable x. 12yx = 5z
romanna [79]

Answer:

\boxed{\bold{x \ = \ \frac{5z}{12y} }}

Explanation:

  • Solve For X: 12yx = 5z

[ Divide Both Sides By 12y ]

12xy / 12y = 5z / 12y

  • x = 5z / 12y

- PNW

5 0
3 years ago
6x-5y&gt;35 <br> On a graph
Colt1911 [192]

Answer:

See attached photo

Step-by-step explanation:

6x-5y>35

3 0
3 years ago
Which graph represents the function y = 3*+2?
puteri [66]

Answer:

We can graph y = 2x/3 - 2 to find the line.

We know one point, which is the y-intercept. The y-intercept is (0,-2) so that is our first point. Plot that point on the chart. Now to find another point, we can just insert a number for x and solve for y. I am going to use the number 3.

y = 2x/3 - 2

y = 2(3)/3 - 2

y = 6/3 - 2

y = 2 - 2

y = 0

So when x = 3 y = 0. We have another point,which is (3,0) Plot the points (0, -2) (3, 0) and draw a line between the points and that is your graph.

there ya go

5 0
3 years ago
What is the probability that a five-card poker hand contains exactly one ace?.
spin [16.1K]

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

<h3>How to determine the probability?</h3>

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

  • After two cards have been selected is:  47/50.
  • After three cards have been selected is:  46/49.
  • After four cards have been selected is:  45/48.

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

Read more about probability at:

brainly.com/question/25870256

8 0
3 years ago
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