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LenaWriter [7]
3 years ago
15

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost

of Sally’s groceries, which expression represents Sally’s grocery bill?
Mathematics
1 answer:
amm18123 years ago
3 0
The original price is c. Then the grocery bill will be: c - 0.05c = 0.95 c. You can also say since the beggining that 5% disscount implies 0.95 factor, which leads to c * 0.95 = 0.95c. Sorry if it’s wrong
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3 of the digits 0-9 are chosen randomly by a computer what is the probability that it will choose 3 sequential digits?
Sindrei [870]

Answer:

B. 1/15

Step-by-step explanation:

The number of ways in which we can select x elements from a group of n elements is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, the number of ways in which a computer can select 3 digits is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Because there are 10 digits from 0 to 9.

Then, from that 120 options there are 8 that have 3 sequential digits. These options are:

{0,1,2} {1,2,3} {2,3,4} {3,4,5} {4,5,6} {5,6,7} {6,7,8} {7,8,9}

So, the probability that it will choose 3 sequential digits is equal to:

P=\frac{8}{120}=\frac{1}{15}

7 0
3 years ago
What is the quotient?
Nataly_w [17]
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5 0
3 years ago
If -4 is a root of the equation x^2+px-4=0 and the equation x^2+px+q=0 has equal roots, find the value of p and q
zubka84 [21]

Answer:

p = 3, q = 2.5

Step-by-step explanation:

Given that x = - 4 is a root of the equation, then

(- 4)² - 4p - 4 = 0, that is

16 - 4p - 4 = 0

12 - 4p = 0 ( subtract 12 from both sides )

- 4p = - 12 ( divide both sides by - 4 )

p = 3

Also given that the equation x² + px + q = 0 has equal roots

Thus the value of the discriminant b² - 4ac = 0

Here a = 1, b = p and c = q, thus

p² - 4q = 0 ← substitute p = 3 from above into the equation

9 - 4q = 0 ( subtract 9 from both sides )

- 4q = - 9 ( divide both sides by - 4 )

q = 2.5

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<span>v = ±2K√m
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4 years ago
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The total deposit is $481.10
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