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4 years ago

4x + 5x - 30= 180 find the value of x

Mathematics

1 answer:

slega [8]4 years ago

7 0

Answer:

$4x + 5x - 30 = 180 \\ collect \: like \: terms \\ 4x + 5x = 180 + 30 \\ 9x = 210 \\ x = \frac{210}{9} \\ x = 23 \frac{1}{3}$

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What’s the perpendicular slope of 4/3

never [62]

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

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3 years ago

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1.9 as a mixed number in simplest form

Yuri [45]

1.9 = 1 9/10 in simplest form

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3 years ago

A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5

olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0

2 years ago

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the va

Andrew [12]

Answer:

$a = 3.7464$

$b = 16$

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in $a * 10^b$

From the question, we have:

$People = 4.46 * 10^9$

$Breath = 8.4 * 10^6$ breath/person in a year

The number of breath is calculated by:

$Overall = People * Breath$

So, we have:

$Overall = 4.46 * 10^9 * 8.4 * 10^6$

Reorder

$Overall = 4.46 * 8.4* 10^9 * 10^6$

$Overall = 37.464* 10^{9+6}$

$Overall = 37.464* 10^{15}$

Using scientific notation $a * 10^b$ ;

The value (a) must be in the following interval $0 \le a \le 1$

So, we have:

$Overall = 3.7464 * 10 * 10^{15$

$Overall = 3.7464 * 10^{16$

By comparing the above with: $a * 10^b$

$a = 3.7464$

$b = 16$

7 0

3 years ago

Solve using the quadratic formula. Approximate answers to the nearest tenth.<br> Help

Pepsi [2]

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

6 0

3 years ago