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Lelu [443]
3 years ago
6

A certain company currently has how many employees?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer: The company currently has 17 employees

Step-by-step explanation:

Let X represent the number of current employees in the company

From the first information, it can be expressed mathematically as

X + 3 ≥ 20

X ≥ 20 - 3

X ≥ 17

From the second information, it can be expressed mathematically as

X - 3 < 15

X < 15 + 3

X < 18

From the above solutions, it can be deduced that

17 ≤ X < 18

The only number that fulfils this criteria is 17.

Therefore, X = 17

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Angela is following this recipe to make biscuits.
maks197457 [2]

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed \frac{1.5L}{0.225L}\times 150 g=1000g of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

4 0
3 years ago
In circle A as shown below, segment DC is tangent to circle A at D.
Likurg_2 [28]

Answer:

AB = 3

Step-by-step explanation:

AB = AD

AB² + 4² = (AB + 2)²

AB² + 16 = AB² + 4AB + 4

combine like terms:

4AB = 12

AB = 3

4 0
2 years ago
Read 2 more answers
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

  12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

  12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

  x^2 -31x +30 = 0

  (x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
Simplify the following expression. Write the resulting polynomial in descending order.
Inessa [10]

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

7 0
3 years ago
PLEASE HELP ME this is really hard please
krok68 [10]

Answer:

  1100

  2200

Step-by-step explanation:

Since speed is constant, the distance is proportional to the time. We notice that the number in the second column is 1650/3 = 550 times the number in the first column, so the two missing numbers are ...

  2 × 550 = 1100

  4 × 550 = 2200

7 0
3 years ago
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