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3 years ago

A pair of pants costs $80. If the sales tax is 8.25% how much is the sales tax? *

Mathematics

1 answer:

alexira [117]3 years ago

7 0

Answer:

Step-by-step explanation:

80 x 0.0825= sales tax

=6.6

= $6.60

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1. Find the remainder if f(x) = 2x³ + 8x² – 5x + 5 is divided by x – 2.

Hunter-Best [27]

Answer:

The answer to your question is 43

Step-by-step explanation:

2x³ + 8x² - 5x + 5 / x - 2

Process

1.- Use synthetic division

2 8 -5 5 2

4 24 38

2 12 19 43

Quotient 2x² + 12x + 19

Remainder 43

4 0

3 years ago

For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h

damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

$t_{1} =\frac{30}{v}$ ( $time=\frac{distance}{speed}$ )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

$t_{2} =\frac{17}{v+2}$

now total time t spent by the bicyclist to cover entire trip is given by

$t=t_{1} +t_{2}$

$t=\frac{30}{v} +\frac{17}{v+2}$

now if v=18 , we have

$t=\frac{30}{18} +\frac{17}{20}$

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

$t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}$ $t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}$

$t=\frac{453}{180} =2.52$ hours (approx)

7 0

3 years ago

Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.

Alona [7]

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

3 0

3 years ago

Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min

alina1380 [7]

Answer:

$y=\frac{1}{2}x-2$

Step-by-step explanation:

We have been given two points on a line $(-6,-5)$ and $(-4,-4)$ . We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation $y=mx+b$ , where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(-6,-5)=(x_1,y_1)$ and point $(-4,-4)=(x_2,y_2)$ .

$m=\frac{-4-(-5)}{-4-(-6)}$

$m=\frac{-4+5}{-4+6}$

$m=\frac{1}{2}$

Now, we will substitute $m=\frac{1}{2}$ and coordinates of point $(-6,-5)$ in slope-intercept form of equation as:

$-5=\frac{1}{2}*(-6)+b$

$-5=-3+b$

$-5+3=-3+3+b$

$-2=b$

Upon substituting $m=\frac{1}{2}$ and $b=-2$ in slope-intercept form of equation, we will get our required equation as:

$y=\frac{1}{2}x-2$

Therefore, our required equation would be $y=\frac{1}{2}x-2$ .

8 0

3 years ago

20 POINTS!

White raven [17]

Answer:

Down here ↓↓↓↓↓↓

Step-by-step explanation:

13:

It is a function, notice that if you draw a vertical line anywhere, it doesn't pass two points.

Domain : All real numbers (x-values)

Range : 2 (y-values)

14:

Not a function, if you draw a vertical line through one point, it will hit two others.

Domain : -3

Range : 4 , 0, -4

15:

It is a function, no two points in any vertical line.

Domain: All real numbers

Range: All real numbers

16:

Not a function, two points in one line

Domain : -5 ≤ x ≤ 5

Range: -2 ≤ y ≤ 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago