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butalik [34]
3 years ago
8

There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail. Which of the following shows a ratio

of paws to ears to tail?
A. 1 : 2 : 4
B. 2 : 4 : 8
C. 4 : 8 : 2
D. 8 : 4 : 2
Mathematics
2 answers:
Maru [420]3 years ago
3 0
A. 1:2:4
None of the other ones fit correctly.
ANEK [815]3 years ago
3 0

Answer: D - 8:4:2

Step-by-step explanation: There will always more paws to ears. And there will always be more ears to tails. Only one where this is shown is in letter D.

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Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dol
vesna_86 [32]

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

  • 10x + 5y + z = 101
  • y - x = 5
  • z = 4x

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is <em>really</em> $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

6 0
3 years ago
Read 2 more answers
A right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft. What is the volume of the prism?
Dahasolnce [82]

<u>Answer:</u>

297 cubic feet

<u>Step-by-step explanation:</u>

We are given that a right rectangular prism has a length of 8 ft, width of 8 1/4 ft, and height of 4 1/2 ft.

We are to find the volume of this prism.

We know the formula of volume of a rectangular prism is given by: w \times h \times l

where w is the width,  h is the height and  l is the length of the prism.

So substituting the given values in the formula:

Volume of prism = 8\frac{1}{4} \times 4\frac{1}{2} \times 8 = 297 cubic feet

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3 years ago
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In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a rand
bogdanovich [222]

Answer:

0.0019390

Step-by-step explanation:

10% of people do not like the taste of cilantro

A researcher takes a random sample of 15 people and surveys whether they like cilantro

Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.

Probability of success = 0.10 = p

Probability of failure = 0.9 =q

n = 15

r = 6

Formula : P(X=r)=^nC_rp^r q^{n-r}

P(X=6)=^{15}C_6 (0.1)^6 (0.9)^{15-6}

P(X=6)=\frac{15!}{6!(15-6)!} (0.1)^6 (0.9)^{15-6}

P(X=6)=0.0019390

Hence  the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390

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price of 3Step-by-step explanation:

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An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of
____ [38]

Answer:

  • angle at A: 51°
  • base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

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3 years ago
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