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sdas [7]
2 years ago
9

Hannah spends hours looking for sand dollars at the beach for every 2 sand dollar she finds she finds 7 clamshells if she found

21 clam shells last month how many sand dollars did you find?
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0
There’s 3 7’s in 21 2 times 3 is 6 so the answer is 6.
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A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is
pogonyaev

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

6 0
3 years ago
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0
2 years ago
Sally either walks, cycles or drives to work. She walks about 15% of the time and drives about 3/5 of the time. What percentage
goblinko [34]

Answer: She cycles 25% of the time

Step-by-step explanation:

From the question, Sally walks 15% of the time.

She drives 3/5 of the time.

We then convert 3/5 to percentage.

Converting to percentage means multiplying by a factor of 100.

Hence, Sally drives 3/5*100 = 60% of the time.

If Sally walks 15% of the time and drives 60% of the time, adding up the percentage time used by these two media of transportation will give us

60% + 15% = 75%

Hence if she cycles for the remainder of the time, expressing it as percentage would mean subtracting the time used in other means by 100%

Hence it will be 100% - 75% = 25%

8 0
3 years ago
Sasha invests $200 at 5% after 6 months
Umnica [9.8K]
5% of 200 is 10, after six months, so total of $60? not sure though.

8 0
3 years ago
In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the b
myrzilka [38]

Answer:

D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.

Step-by-step explanation:

The Number of boxes = 6

Box containing a prize = 1

Probability of success, p = box containing a price / number of boxes = 1 /6

Number of trials = 5

Probability of success on exactly 2 trials, r = 2

Hence,

P(r = 2) = nCr * p^r * (1-p)^(n-r)

n = 5 ; r = 2 ; p = 1/6

Using a binomial probability calculator :

P(r = 2) = 0.1608

8 0
3 years ago
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