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Naya [18.7K]
3 years ago
10

30t+20c=<300 5t+10c=<110. Solve for t and c

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0
30t + 20c =< 300
5t + 10c =< 110
10c =< 110-5t
30t + 220-10t =< 300
20t =< 80
t = 4
120c + 20c =< 300
20c = 180
c = 9
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1 2/3 divided by (-2 3/4)
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Answer:

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2 years ago
John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
3 years ago
Choose exactly two answers that are correct. Which expressions could complete this equation so that it has an infinite number of
Maru [420]
Answers A and <span>D
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</span><span>9x − 3(x+8) [distribute] = 9x − 3x − 24 = 6x − 24   [combine like terms]

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<span>8(x−3)−2x = [distribute]  8x−24−2x = 6x−24  [combine like terms] </span>
3 0
3 years ago
On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1)
drek231 [11]

Answer:

  • B and E

Step-by-step explanation:

<u>Given</u>

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  • ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)

<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>

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It means the ΔABC has been translated 3 units right and 5 units down

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8 0
2 years ago
Read 2 more answers
3. Which inequalities show a correct relationship between expressions?
igomit [66]

Answer: a and d

Step-by-step explanation:

First of all, we need to make a analysis of each letters:

a. factoring 32 = 2.2.2.2.2 = 2^{5}

2^{5}^{3} = 2^{15}

then,

16 = 2^{4}

but 2^{4}^{4} =2^{16}

in conclusion that, this inequality is correct

b. 27 =  3^{3}

this first situation is equal to  3^{9}

the second situation is:

81 =  3^{4}

and  3^{4}^{4} = 3^{16}

it's a mistake.

c. factoring 9: 9 = 3^{3}

3^{9} <  3^{5}

it's wrong.

d. factoring 8 = 2^{3}

factoring 32 =  2^{5}

2^{12} >  2^{10}

This is true.

Finally.. our correct answers is a and d.

3 0
3 years ago
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