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amm1812
4 years ago
9

Which value is equivalent to 4.5% written as a decimal?

Mathematics
1 answer:
NemiM [27]4 years ago
6 0
4.5% = 4.5/100 = 0.045
The answer is C.
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Variable y varies directly with variable x, and y = 18 when x = 4.
mart [117]
The constant of variation is 18/4 = 9/2= 4.5
7 0
3 years ago
Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?
STatiana [176]

Answer:

Step-by-step explanation:

8 0
4 years ago
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How do you solve 2z-31=-9z+24
Vaselesa [24]

Answer:

2z-31 = -9z+24

First, combine like terms:  11z = 55

Then, divide both sides by 11: 11z/11 = 55/11

Simplify: z=5

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
This is homework. please help with the answer for both 11a and 11b :))
RideAnS [48]
11a:
3x+5=5x-57
3x-5x=-57-5
-2x=-62
x=31
11b:
2x+2x+4x+150+4x+150=360
12x+300=360
12x=360-300
12x=60
x=5

hope this helped !!
3 0
3 years ago
A search committee is formed to find a new software engineer.
Free_Kalibri [48]

Answer:

(a) 1,902,231,808,400

(b) 84

(c) 20

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\cdot(n-k)!}

(a)

Compute the number of ways to select 9 applicants from 100 as follows:

{100\choose 9}=\frac{100!}{9!\cdot(100-9)!}

        =\frac{100!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92\times 91!}{9!\times 91!}\\\\=\frac{100\times 99\times 98\times 97\times 96\times 95\times 94\times 93\times 92}{9!}\\\\=1902231808400

(b)

Compute the number of ways to select 6 people from 9 as follows:

{9\choose 6}=\frac{9!}{6!\cdot(9-6)!}

        =\frac{9!}{6!\times 3!}\\\\=\frac{9\times 8\times 7\times 6!}{6!\times 3!}\\\\=\frac{9\times 8\times 7}{3!}\\\\=84

(c)

Compute the number of ways to select top 3 candidates from 6 as follows:

{6\choose 3}=\frac{6!}{3!\cdot(6-3)!}

        =\frac{6!}{3!\times 3!}\\\\=\frac{6\times 5\times 4\times 3!}{3!\times 3!}\\\\=\frac{6\times 5\times 4}{3!}\\\\=20

7 0
3 years ago
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