How do you solve this inequality? 200-15d<80

Answers

Answer 1

Answer: 1) add 15d to both sides
200<80+15d

2) takeaway 80 from both sides
120<15d

3)divide by 15 to solve the inequality
8<d

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Find the value if r so that the line passes through each pair of points has the given slope. (PLEASE HELP!)6A. (-2,6),(r,-4); m=-56B. (r,-6),(5,-8); m=-8
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What is 18/28 simplified

Answers

The simplified form of 18/28 is 9/14.

The given fraction is,

18/28

Since we know that,

Finding the simplest form of any fraction is a straightforward procedure. We must simplify the fraction's numerator and denominator by dividing them both by the greatest common factor that divides them entirely. Both the numerator and denominator should be full integers after division. This method of fraction reduction is also known as fraction reduction.

Therefor,

Divide numerator and denominator by 2 we get,

⇒ 9/14

Hence,

9/14 is the simplest form of 18/28.

Learn more about the fraction visit:

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you try to find the largest factor to be divided into both numbers at the same time.

18 : factors are 1 , 18. 2, 9. 3, 6

28 : factors are 1, 28. 2, 14. 4, 7

so the largest number in both numbers is 2.

18/28 divide both by 2

9/14

A cylinder has the circumfrence of 16 $\pi$ inches and its height is half the radius of the cylinder. What is the total surface area of the cylinder? Give your answer in terms of $\pi$ . Explain how you found your answer.

Answers

Circumference = 2 $\pi$ r
If the circumference of the base of the cylinder is 16 $\pi$ then
16 $\pi$ = 2 $\pi$ r
Divide by 2 on both sides.
8 $\pi$ = $\pi$ r
Divide by $\pi$ on both sides.
8=r

So our radius is 8. So the height of the cylinder is 8/2 = 4.

The surface area of a cylinder is
$SA=2\pi rh+2\pi r^2$

Just plug in r as 8 and h as 4.

$SA=2\pi (8)(4)+2\pi (8)^2$
$SA=2\pi 32+2\pi 64$
$SA=64\pi + 128\pi$
$SA=192\pi$

The surface area is ${\boxed{192\pi}$ .

Which ordered pair is not a solution of f(x) = 2x + 9?(7, 23)
(3, 14)
(2, 13)
(0, 9)

Answers

Answer:

The answer is (3,14)

Step-by-step explanation:

Answer:

(3,14)

Step-by-step explanation:

(19b-1)-9 (2b+4)=-7

plz show work step by step (i give thank yous)

Answers

Answer:

$b=30$

Step-by-step explanation:

$19b-1-9(2b+4)=-7\n\Leftrightarrow 19b-18b-36=-6\n\Leftrightarrow b=30$

Rosa is thinking of a number between 9.04 and 9.15 that has a 6 in the hundredths place what is the number? Explain

Answers

9.06

if the 6 is in the hundreths place, with those numbers it is the only answer because the next highest would be 9.16 and that would be too high

9.06 because 9.06 is greater than 9.04 but smaller than 9.15

The equation shows the relationship between x and y:y = 7x + 2

What is the slope of the equation?

-7
-5
2
7

Answers

y=mx+b is the formula.
m is the slope and b is the y-intercept.

y-intercept is when x is 0 and x-intercept is when y is 0. So if x is 0, y=m(0)+b which is y=b. So on the graph y will be b when x is 0.

So in y=7x+2, 7 is the slope and 2 is the y-intercept.

$\sf\ Slope:\ {\boxed{7}$

$y={\underbrace{m}x+{\underbrace{b}$
$\sf\~~~~SLOPE~~~~~Y-INTERCEPT$

Below is the slope intercept form:
y = mx + b

where: m = slope; b = y-intercept.

Using the above format,

y = 7x + 2

m = 7 ; b = 2

The slope of the equation is 7.
The y-intercept of the equation is 2.

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