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inessss [21]
3 years ago
10

On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the w

ay. Which decimal number shows the portion of the distance Sandy skips?
Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

\frac{1}{2} \times 100 = 50

Add both skateboarding and walking

30\% + 50\%\\\\= 30 + 50\\\\= 80

Now, subtract that from a whole percent

100 - 80 = 20\\\\20\%

Convert it to a decimal

20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2

Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

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G(x) = -2x^3 – 15x^2 + 36x
shusha [124]

Consider the function G(x) = -2x^3 - 15x^2 + 36x. First, factor it:

G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).

The x-intercepts are at points \left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).

1. From the attached graph you can see that

  • function is positive for x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);
  • function is negative for x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).

2. Since

G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x) the function is neither even nor odd.

3. The domain is x\in (-\infty,\infty), the range is y\in (-\infty,\infty).

8 0
3 years ago
Read 2 more answers
What is 55+84=n+76 answer
rodikova [14]
The answer is n = 63.
8 0
2 years ago
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Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total
Greeley [361]
The answer would be 24
4 0
2 years ago
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Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.
Hunter-Best [27]

Answer:

B: 3

Step-by-step explanation:

The expression would be 14m + 23 = 65.

14m + 23 - 23 = 65 - 23 =

14m = 42

14m ÷ 14 = 42 ÷ 14 =

m = 3

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

4 0
2 years ago
Consider a bag of jelly beans that has 30 red, 30 blue, and 30 green jelly beans. a) How many color combinations of 15 beans hav
igor_vitrenko [27]

Answer:

680

Step-by-step explanation:

Number of red beans = 30

Number of Blue beans = 30

Number of green beans = 30

How many color combinations of 15 beans have at least 6 green beans?

Since at least 6 of the beans must be green,

Then (15 - 6) = 9

Then, the remaining 9 could be either red, blue or green.

Therefore, C(9 + (9 - 1), 3)

C(17, 3) = 17C3

nCr = n! ÷ (n-r)! r!

17C3 = 17! ÷ (17 - 3)! 3!

17C3 = 17! ÷ 14!3!

17C3 = (17 * 16 * 15) / (3 * 2)

17C3 = 4080 / 6

17C3 = 680 ways

5 0
2 years ago
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