Is 9.78778777... a rational or irrational number?

2 2/3 divided by 1/3?

sergejj [24]

2 2/3 = 2x3+2/3 = 8/3
8/3 / 1/3 = 8/3 x 3/1 = 8/1 = 8

4 0

3 years ago

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The sales tax on a 15,000 car is 540. at this rate what is the tax on a 32,000 car

maria [59]

Note : Since unit of currency is not defined, I'll be using units.

Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6

now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units

4 0

3 years ago

The jar's inner dimensions of the jar are approximately a cylinder with a height of 18

mars1129 [50]

$v = \pi \times {r}^{2} \times h$

$v = \pi \times 49 \times 18$

$v = 2770.88$

3 0

4 years ago

Pllllllease help me asap

marishachu [46]

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

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

Now, let's use this equation to solve for the rate of change of each question.

Problem 1:

$Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}$

The rate of change of this equation is 2/3

Problem 2:

$Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2$

The rate of change for this equation is 2

Problem 3:

$Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6$

The rate of change for this equation is 6

4 0

3 years ago

Which of the following equations has a slope of -2 and passes through the point (2,3)?

ryzh [129]

Option C (Same as Option D)

<h2>Explanation:</h2>

Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):

A. y = -2x + 6

B. y - 3 = -2(x + 2)

C. y = -2x + 7

All these equations have a slope of -2.

FROM OPTION A:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+6 \\ \\ 3=-4+6 \\ \\ 3=2 \ False!$

Since $3\neq 2$ then the line doesn't pass through the point (2, 3)

FROM OPTION B:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3-3=-2((2)+2) \\ \\ 0=-2(4) \\ \\ 0=-8 \ False!$

Since $0\neq -8$ then the line doesn't pass through the point (2, 3)

FROM OPTION C:

$Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+7 \\ \\ 3=-4+7 \\ \\ 3=3 \ True!$

Since $3\neq 3$ then the line passes through the point (2, 3)

Finally, the equation that has a slope of -2 and passes through the point (2,3) is Option C (Same as Option D)

<h2>Learn more:</h2>

x and y intercepts of a line: brainly.com/question/13770925#

#LearnWithBrainly

5 0

3 years ago