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2 years ago

13

Sunil receives a 20% discount on a concert ticket that costs $75. If Sunil pays $3.30 in sales tax on the discounted ticket, wha

t is the sales tax rate?

1 answer:

Mrac [35]2 years ago

6 0

Think of like 75+3=78 with 30 so minus 20 equals the number you have just like this. 78-20=$50.30

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A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t

vovikov84 [41]

25.8%
First, determine how many standard deviations from the norm that 3 tons are. So:
(3 - 2.43) / 0.88 = 0.57/0.88 = 0.647727273
So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%
So the probability that more than 3 tons will be dumped in a week is 25.8%

5 0

2 years ago

Three fourths a number plus 8 is 20 less than the number

VARVARA [1.3K]

Answer:

Equation: $\frac{3}{4}n+8=n-20$

Solve for n: n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' = $\frac{3}{4} n$

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8': $\frac{3}{4}n+8$

'20 less than the number': n - 20

Set them equal to each other and solve: $\frac{3}{4}n+8=n-20$

Add 20 to both sides: $\frac{3}{4}n+8+20=n-20+20$

Subtract $\frac{3}{4}n$ from both sides: $\frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n$

Multiply both sides by $\frac{4}{1}$ : $\frac{4}{1}28=\frac{1}{4}n\frac{4}{1}$

Solve for n: n = 112

7 0

2 years ago

Write an algebraic expression for “12 less than the quotient of 12 and a number z.”

algol13

$\frac{12}{n} - 12$

4 0

3 years ago

What is longer 180 seconds or 3 minutes

Neporo4naja [7]

They are both the same. There are 60 seconds in one minute, so 60*3 is 180. Since 180=180, they are equal.

:)

6 0

3 years ago

Read 2 more answers

Emir made $182 in interest by placing $700 in a savings account with simple interest for 2 years. What was the interest rate?

Pavlova-9 [17]

Answer:

7.69230%

R=I/P×T

R=$182/$700×2

R=182/1400

R=91/700

=7.69230%

6 0

2 years ago