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olga55 [171]
3 years ago
11

A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.25?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0
The sales tax rate is 5%

Given:
Sales price = 5.00
Total amount paid = 5.25

Sales tax value = Total amount paid - sales price
                          = $5.25 - $5.00 
Sales tax value = $0.25
Sales tax rate = Sales tax / Sales price
<span>                        = 0.25/5 </span>
<span>Sales tax rate  = 0.05 or 5%</span>
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HELP PLEASEEEEEEEEEEEEEEEEEEEEE
emmainna [20.7K]

Answer:

well the height of the triangle would be 5, the base is 12. The area of a triangle is the height times the base divided by 2 so 12 times 5 = 60 divided by 2= 30.

7 0
3 years ago
Read 2 more answers
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below
Nookie1986 [14]

The polynomial equation <u>x³ - 4x² - 7x + 28 = 0</u>, has solutions <u>-√7, √7,</u> and <u>4</u>, among which <u>√7</u> and <u>4</u> are positive real solutions. Hence we have two positive real solutions. Hence, <u>option D</u> is the right choice.

In the question, we are asked for the number of positive real solutions for the polynomial equation, x³ - 4x² - 7x + 28 = 0.

To find the solutions, we do as follows:

x³ - 4x² - 7x + 28 = 0,

or, (x³ - 7x) - (4x² + 28) = 0 {Grouping},

or, x(x² - 7) - 4(x² - 7) = 0 {Taking common},

or, (x - 4)(x² - 7) = 0 {Grouping},

or, (x - 4)(x + √7)(x - √7) = 0 {Using the formula: a^2 - b^2 = (a+b)(a-b)}.

By the zero-product rule, the solutions are:

x - 4 = 0, or, x = 4,

x + √7 = 0, or, x = -√7,

x - √7 = 0, or, x = √7.

Thus, the positive real solutions are 4, and √7. Hence, there are two positive real solutions.

Thus, the polynomial equation <u>x³ - 4x² - 7x + 28 = 0</u>, has solutions <u>-√7, √7,</u> and <u>4</u>, among which <u>√7</u> and <u>4</u> are positive real solutions. Hence we have two positive real solutions. Hence, <u>option D</u> is the right choice.

Learn more about polynomials at

brainly.com/question/1550365

#SPJ4

The complete question is:

"Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

x³-4x²-7x+28=0

a. two or zero

b. three or one

c. one

d. two"

5 0
2 years ago
Wat is 366-84+93×(64+100)=?<br><br><br>A) 88,777,990<br>B)1,000,7<br>C) Oof._.<br>D)490,360,92​
NemiM [27]

Answer:

Retorical question:its actually:

15,534

Step-by-step explanation:

64+100=164

164×93=15,252

366-84=282

15,252 + 282 = 15,252

6 0
3 years ago
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Which equation is not a linear function?<br> C y=x²<br> yax<br> y=x-3<br> y = 3x<br> 1<br> y = x + 3
Tpy6a [65]

Answer:

y=x²

Step-by-step explanation:

If it has an exponent it's not linear

3 0
3 years ago
An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0
4 years ago
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