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Sati [7]
2 years ago
8

At an advertising agency that employs 256 people, 113 employees receive 2 weeks of paid vacation each year. What is the ratio of

those who receive 2 weeks of paid vacation to the total number employees?
Mathematics
1 answer:
frutty [35]2 years ago
4 0

Answer: 113  : 256

Step-by-step explanation:

There are 113 people to receive a paid vacation every year against a total number of 256 employees.

The ratio is therefore:

113  : 256

<em>113 is a prime number so this is the lowest form this ratio can take. </em>

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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
3 years ago
The triangles shown are congruent by the SSS congruence theorem.
denis23 [38]
1. Let's check the problem backwards. So let's map A"B"C" to ABC

2. We first need to reflect  A"B"C" to A"B"C' with A"B"" as the axis of rotation.

3. Then we shift a few units up (translation) A"B"C' to A'B'C

4. Finally we rotate A'B'C around C to map the triangle onto ABC

going backwards we get the answer: b

<span>b.rotation, then translation, then reflection</span>

3 0
2 years ago
Read 2 more answers
How do you divide 81 by 13.5
Gekata [30.6K]

Answer:6

Step-by-step explanation:

By going on a calculator and typing 81 then click divide then press 13.5

7 0
3 years ago
Read 2 more answers
The following stem-and-leaf plots compare the ages of 30 actors and 30 actresses at the time they won the Oscar award for Best A
stealth61 [152]

The image of the stem-and-leaf plots is in the attachment.

Answer: (a) 31 years; (b) 59 years; (c) 56 years

Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.

For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.

(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.

(b) The oldest actress is 80 and the youngest is 21, so difference is:

80 - 21 = 59

The difference is 59 years.

(c) The oldest age shared by 2 actors is 56 years.

6 0
3 years ago
I don’t know how to find the odds for this??
grin007 [14]

Answer: C.1:5

Step-by-step explanation: I cant remember but I think that's what it is

6 0
3 years ago
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