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2 years ago

Dante's parents gave him a fish tank containing 20 goldfish. Each month, Dante gives away 2 goldfish from his fish tank to

1 answer:

7 0

The inequality that can be used to find m, the number of months after receiving his fish tank, when Dante will have less than 10 goldfish in his fish tank is 20 - 2m < 10

Since Dante has 20 goldfish and gives out 2 goldfish every month,

After one month, he has 20 - 2 = 20 - 1(2) gold fish left.

After 2 months, he has 20 - 2 - 2 = 20 - 4 = 20 - 2(2) goldfish left.

After 3 months, he has 20 - 2 - 2 - 2 = 20 - 6 = 20 - 3(2) goldfish left.

<h3>Number of goldfish after m months</h3>

So, after m months, he has 20 - 2m goldfish left.

<h3>The inequality to find m</h3>

For the number of goldfish to be less than 10, we have the inequality

20 - 2m < 10

So, the inequality that can be used to find m, the number of months after receiving his fish tank, when Dante will have less than 10 goldfish in his fish tank is 20 - 2m < 10

Learn more about inequalities here:

brainly.com/question/25275758

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lianna [129]

Answer:

Step-by-step explanation:

5 0

2 years ago

If your financial goal is to save at least $40,000 in 10 years, what would be the least

adoni [48]

<em><u>The least amount of money you would need to invest per month is; $335</u></em>

<em><u>The anticipated rate of return on your investments is; 7%</u></em>

Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

Thus, amount to be saved monthly = 40000/12 = $333.33

Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.

Read more at; brainly.com/question/9187598

4 0

2 years ago

There were 100 questions on a math test. If Jamal got 4 times as many right as he got wrong, what was Jamals score?

IgorLugansk [536]

Jamal's score is 80

<u>Explanation:</u>

Given:

Number of questions = 100

Let w be the number of wrong answers

Let r be the number of right answers

According to question,

r = 4w

r + w = 100

Solving both the equations we get:

4w + w = 100

5w = 100

w = 20

If w = 20 then r = 4 X 20 = 80

Therefore, Jamal's score is 80

7 0

3 years ago

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi

Shtirlitz [24]

Answer:

$Area = 49\frac{25}{36}$

Step-by-step explanation:

Given

Tile

$Length = 4\frac{5}{6}$

$Width = 2\frac{1}{3}$

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

$Length = 12\frac{1}{4}$

$Width = 5$

Calculate Area

$Area = Length * Width$

$Area = 12\frac{1}{4} * 5$

$Area = 61\frac{1}{4}$

The area of the tiles is:

$Area = 4\frac{5}{6} * 2\frac{1}{3}$

$Area = \frac{29}{6} * \frac{7}{3}$

$Area = \frac{203}{18}$

$Area = 11\frac{5}{18}$

So, the carpet area is:

$Area = Floor\ Area - Tile\ Area$

$Area = 61\frac{1}{4} - 11\frac{5}{18}$

To improper number

$Area = \frac{245}{4} - \frac{208}{18}$

Take LCM

$Area = \frac{2205 - 416}{36}$

$Area = \frac{1789}{36}$

$Area = 49\frac{25}{36}$

7 0

2 years ago

To avoid modeling the physical characteristics of wheel encoders such the square wave outputs, it is desirable to generate encod

grandymaker [24]

Answer:

The probability distribution is Normal continuous

Step-by-step explanation:

The basic idea is that velocity values have different noise level and an important thing regarding continuous probability distributions is that the probability of the random variable is equal to a specific outcome is 0

In other words, is practically impossible that one value of velocity could be the same as others.

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2 years ago