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ruslelena [56]
3 years ago
14

Of the 18 students who received an allowance, 16 do chores around the house. What fraction of the students, in the simple list f

orm, does the chores around the house
Mathematics
2 answers:
Reil [10]3 years ago
5 0
8/9 because it is equal to 16/18
Zinaida [17]3 years ago
5 0
8/9 is the fraction in simplest form. 18/16 is the non-simplified version.
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−6+3(2+(−4t)) using distributive property
Hatshy [7]

Answer:

- 6 + 3(2 +( - 4t)) \\  - 6 + 3(2 - 4t) \\  - 6 + 3(2t) \\  - 6 + 6t \\ t

4 0
3 years ago
On an island there are 7 cities. Each two of them connected by a direct road. How many roads are there?
Gnoma [55]

Answer:

21 roads

Step-by-step explanation:

If each two cities are connected by a direct road, to find the number of roads we just need to solve a combination of 7 choose 2, that is, we need to find all pairs of two cities among the 7 cities:

Combination of 7 choose 2 = 7! / (5! * 2!) = 7*6/2 = 21

So there is a total of 21 roads on the island.

3 0
3 years ago
Read 2 more answers
A population of deer inside a park has a carrying capacity of 200 and a growth rate of 3%. If the initial population is 80 deer,
otez555 [7]

Answer:

The population of deer at any given time = 200(e^0.03t)  ÷ (1.5 + (e^0.03t))

Step-by-step explanation:

This is an example of logistic equation on population growth

carrying capacity, k = 200

Rate, r = 3% = 0.03

Initial Population, P1 =  80

P(t) =?

P(t) = (P1 (k)(e^rt)) ÷ (k- P1 + P1(e^rt))

P(t) = (80 (200)(e^0.03t)) ÷ (200 - 80 + 80(e^0.03t))

     = (16000(e^0.03t))  ÷ (120 + 80(e^0.03t))

      = 200(e^0.03t)  ÷ (1.5 + (e^0.03t))

8 0
3 years ago
There is a photo attached<br><br> drop down:<br> 45<br> 135<br> 210<br> 240
Alex_Xolod [135]

Taking the arcsin of both sides of the equation, you get ...

... 90° -x = {-60°, -120°}

So ...

... x = 90° -{-60°, -120°} = {150°, 210°}

The appropriate choice is ...

... 210

4 0
3 years ago
What is the constant of proportionality for 6,47.94?
Maurinko [17]

\boxed{k=7.99}

<h2>Explanation:</h2>

In this exercise, we have the following point:

(6,47.94)

Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:

y=kx

As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:

Solving \ the \ equation \ for \ k: \\ \\ k\frac{y}{x} \\ \\ Where: \\ \\ x=6 \\ y=47.94 \\ \\ k=\frac{47.94}{6} \\ \\ \therefore \boxed{k=7.99}

<h2>Learn more:</h2>

Direct and indirect proportionality: brainly.com/question/10945121

#LearnWithBrainly

4 0
3 years ago
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