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Arisa [49]
4 years ago
15

Jon has 15 coins in nickels and dimes.he has 3 more dimes than nickels.how many nickels and dimes dose he have

Mathematics
1 answer:
melamori03 [73]4 years ago
6 0

Answer:  6 nickels and 9 dimes

Step-by-step explanation:

15 coins - 3 extra dimes = 12

12 / 2 = 6

6 nickels

6 + 3 = 9 dimes

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Answer:

that a^2 + b^2 = c^2

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Solve the system of equations algebraically: x^2 +y^2 =25, y=x^2 +3
aalyn [17]

Answer:

{ \tt{ {x}^{2} +  {y}^{2}  = 25 -  -  -  \{eqn(a) \}}} \\ { \tt{y =  {x}^{2} + 3 -  -  -  \{eqn(b) \} }}

» substitute y in eqn(a) with y in eqn(b)

{ \tt{ {x}^{2} + ( {x}^{2}  + 3) {}^{2}   = 25}}  \\ { \tt{ {x}^{2}  + ( {x}^{2}  + 6x + 9) = 25}} \\ { \tt{2 {x}^{2} + 6x + 9 = 25 }} \\ { \tt{2 {x}^{2}  + 6x - 16 = 0}} \\ { \tt{x = 1.7 \:  \: and \:  \:  - 4.7}}

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8 0
3 years ago
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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Answer:

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Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

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