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svet-max [94.6K]
4 years ago
8

How many solutions are there to this system of equations?

Mathematics
1 answer:
Zinaida [17]4 years ago
5 0

Answer:

one

Step-by-step explanation:

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There are 75 boys, 60 girls and 15 teachers at a kindergarten.
zalisa [80]

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

5 0
3 years ago
A starfish's top speed is approximately 161 centimeters per minute. What is this speed to the nearest centimeter per second? plz
Papessa [141]

2.7 cm per second. Because it’s 161 divided by 60

6 0
4 years ago
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In the last 20 years, an initial population of 24 pumas in a state park grew by about 12% per year. How many pumas were in the p
-BARSIC- [3]

Answer:

165 pumas

Step-by-step explanation:

Using the formula given:

n = a(1 + r)^t

where n = number of pumas after a specific number of years

a = initial number of pumas = 24

r = rate = 12% = 0.12

t = number of years = 17

We obtain the number of pumas after 17 years to be:

n = 24 *(1 + 0.12)^{17}\\\\\\n = 24*(1.12)^{17}\\\\\\n = 24 * 6.866

n = 164.78 ≅ 165 pumas

After 17 years, the number of pumas in the park was 165.

7 0
3 years ago
The equation f = v at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, o
Ghella [55]
<span>F = v + at. Do it step by step. 1) Subtract v from both sides => F - v = at 2) Divide both terms by t => [F - v] / t = a. Therefore, the answer is a = [F - v] / t This equation tells that the acceleration equals the difference of the final velocity and the initial velocity, divided by the time elapsed to reach the final velocity.</span>
5 0
3 years ago
Read 2 more answers
Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups
Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

  • Nia mixed 1 teaspoon salt with 3 cups warm water.
  • Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\

Thus 1 : 3 is equivalent to the ratio \frac{1}{3}:1, which means that Nia's solution has \frac{1}{3}teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is \frac{1}{2}:1\frac{1}{2} in Trey’s solution.

On dividing the amount of salt and the amount of water by 1\frac{1}{2}, the ratio will be the same.

\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1

So Trey’s ratio is also equal to the ratio \frac{1}{3}:1.

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

4 0
3 years ago
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