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Lana71 [14]
3 years ago
12

One third of the opposite of a number is less than 12. put that in a equation​

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

1/3 · -x < 12

Step-by-step explanation:

one third meaning 1/3

"of" meaning multiplication

"opposite" of a "number" meaning negative x

Less than 12 meaning > 12

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Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

7 0
3 years ago
Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
trapecia [35]

Answer:

The probability that Alice wins the game=\frac{1}{2}

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

P(E)=\frac{Number\;of\;favourable\;cases}{total\;of\;cases}

The probability that Alice wins the game=\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}

The probability that Alice wins the game=\frac{number \;of \;heads}{Total\; results}

The probability that Alice wins the game=\frac{1}{2}

8 0
3 years ago
Type the price per unit in blanks a and b, and choose the best buy. Tomato juice, 48 oz. can for $2.49 would = cents per oz. Tom
Sphinxa [80]
For this case we have two options:
 Option A:
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 Option B:
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 Answer:
 
The best buy would be:
 
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The answer should be

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This is easy, all you need to do is divide 48/2.5 and you have your answer.
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