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SCORPION-xisa [38]
2 years ago
14

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

Mathematics
1 answer:
mr_godi [17]2 years ago
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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Answer:

1 7/8

Step-by-step explanation:

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Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second
lutik1710 [3]
Given that <span>the average volume of water that flows over the falls each second is 4.8 \times 10^5 gallons.

There are 3,600 seconds in one hour.

Thus, in one hour, 4.8 \times 10^5\times3600=17280\times10^5=1.728\times10^9 gallons of water </span><span>flows over the falls.

</span>Therefore, the amount of water that flows over the falls is <span>1.728\times10^9.</span>
3 0
3 years ago
GIVING BRAINLIEST Try the numbers 4, 5, 6, 7 in the equation 6 ⋅ x + 5 = 12 + 5 ⋅ x
Harrizon [31]
<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

6x + 5 = 12 + 5x

Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution

<em><u>Substitute x = 4</u></em>

6(4) + 5 = 12 + 5(4)

24 +5 = 12 + 20

29 \neq 32

Thus 4 is not a solution

<em><u>Substitute x = 5</u></em>

6(5) + 5 = 12 + 5(5)

30 + 5 = 12 + 25

35\neq 37

Thus 5 is not a solution

<em><u>Substitute x = 6</u></em>

6(6) + 5 = 12 + 5(6)

36 + 5 = 12 + 30

41\neq 42

Thus 6 is not a solution

<em><u>Substitute x = 7</u></em>

6(7) + 5 = 12 + 5(7)

42 + 5 = 12 + 35

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Thus 6 is a solution

6 0
3 years ago
Giving brainliest to CORRECT answer.
gavmur [86]

Answer:

Graph A

Step-by-step explanation:

y =  {x}^{2}  - 6x - 7 \\ plug \: y = 0 \\  {x}^{2}  - 6x - 7 = 0 \\  {x}^{2}  - 6x + 9 = 7 + 9 \\ (x - 3)^{2}  = 16 \\ (x - 3) =  \pm 4 \\ x = 4 + 3 \: or \: x =  - 4 + 3 \\ x = 7 \: or \: x =  - 1

Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.

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3 years ago
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A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th
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Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

                             = \frac{15}{0.675} = 22.22 feet

So the answer is 22 feet.

7 0
3 years ago
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