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Ainat [17]
3 years ago
12

Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be

used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?
Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

4m+20>50

Step-by-step explanation:

Let <em>m</em> represent the amount of months that has passed.

Paulo started out with 20 coins.

Each month, he adds four more coins to his collection.

Therefore, the amount of coins added after <em>m</em> months will be given by 4<em>m</em>.

So, the amount of coins Paulo has total after <em>m</em> months can be given by:

4m+20

We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:

4m+20>50

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p - 8.3 = 5.6

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2&gt; -2-c. <br><br><br><br>how would I graph this?
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Answer:

-4< c

Step-by-step explanation:

2> -2-c

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2+2> -2+2-c.

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Amy, Lee, Tom and Uma are candidates in the school election. The person
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3 years ago
Monique picked 32 quarters of beans how many pecks did she pick
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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0
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