After 25% of a bill is paid $80 still remains to be paid. how much was the bill?

Answers

Answer 1
Answer: the original bill was valued at 106.67 $

if 25% was paid, and 80 dollars are left, this means that 80 dollars is 75% of the bill. 25% is a quater, and 75% is three quarters. 

here, we can divide 80 into three parts ->

80 ÷ 3 ≈ 26.67
that means a quater of the bill is 26.67 $

if 80$ were left to be paid, just add the 26.67$ from the first quater -> 

80 + 26.67 = 106.67 $

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There are 15 cards, numbered 1 through 15. If you pick a card, what is the probability that you choose an odd number or a two?A)
2
3

B)
3
5


C)
8
15


D)
8
225

Answers

Answer:

Option B

Step-by-step explanation:

Given that the 15 cards are numbered 1 to 15.

A card is picked at random.  We have to find the probability that the card is odd or two

Let A - selected card is odd

B - selected card is 2

A and B are mutually exclusive

Hence P(AUB) = P(A)+P(B)

Since there are 1,3....15 i.e. 8 odd numbered cards

P(A) = 8/15

P(B) = 1/15 (since there is only one two)

Thus required prob = P(AUB) = 8/15+1/15

=9/15

=3/5

Hence option B

There are 8 odd number between 1 and 15 (1,3,5,7,9,11,13,15), so the probability of choosing an odd number is (8)/(15).

The probability of choosing 2 is (1)/(15).

So, the overall probability is equal to (8)/(15)+(1)/(15)=(9)/(15)=(3)/(5)

Easy - lots of points!!
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)

Answers

Answer:

2x² + 9x + 9

Step-by-step explanation:

To evaluate f(x + 3) substitute x = x + 3 into f(x), that is

f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL

            = 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis

           = 2x² + 12x + 18 - 3x - 9 ← collect like terms

            = 2x² + 9x + 9

Answer: f(5) = 14 should be the answer

Which statement models this situation? The time between airline arrivals must be more than 2 minutes. A. t > 2 B. t = 2 C. t < 2 D. t + 2 > 0

Answers

the answer might be A because (time between airline arrivals MUST be more than 2 minutes) in letter A it shows that time is more than the 2 minutes hope this helps =)

The answere is A it says more than teo minutes

What is the equation of a line with a slope of -1/2 that passes through the point (6,-6)

Answers

y+6=-1/2(x-6) or simplified to y=-1/2x-3 

What is the doubling time of bacteria if you start with two bacteria and there are 128 bacteria after 3hrs?A) 15min
B) 30min
C) 45min
D) 1hr

Please explain step by step and how you got the answer. Thank you

Answers

Answer:

B) 30min

Step-by-step explanation:

Start with 2 and continue to multiply that by 2 until you get 128

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

Then start with what you think could be the right answer based on how many intervals there are.

You know it can't be 15 because there definitely isn't enough and you know its not 1hr because theres way more than 3.

So you're left with either B) 30min or C) 45min

It has to be B) 30min because there are 6 intervals and 30min goes into an hour twice, meaning that if every 2 intervals is an hour there are 3 hours.

Y=(x-1)^2+2 find the y-intercept

Answers

Answer:

(0,3)

Step-by-step explanation:

So we have the equation:

y=(x-1)^2+2

Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:

y=(0-1)^2+2

Subtract:

y=(-1)^2+2

Square:

y=1+2

Add:

y=3

So, the y-intercept is at (0,3).

And we're done!