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Monica [59]
3 years ago
5

Which number line represents the solution to the inequality 22 > 10x

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

\large\boxed{x

Step-by-step explanation:

22>10x\qquad\text{divide both sides by 10}\\\\\dfrac{22}{10}>\dfrac{10x}{10}\\\\2.2>x\to\boxed{x

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

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Solve: 2x - 3y = 9 and x + 2y = 1​
mash [69]

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = 9 → (1)

x + 2y = 1 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = 1 - 2y → (3)

Substitute x = 1 - 2y into (1)

2(1 - 2y) - 3y = 9

2 - 4y - 3y = 9

- 7y + 2 = 9 ( subtract 2 from both sides )

- 7y = 7 ( divide both sides by - 7 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 1 - 2(- 1) = 1 + 2 = 3

solution is (3, - 1 )

4 0
3 years ago
Briana bought a lot of snacks from Dollar General last night for $193.84, not including tax. If the tax rate was 9%, how much di
lina2011 [118]

Answer:

17.4456 Pretty sure they want you to round up not sure

Step-by-step explanation:

I like to divide by 100 the get the rate for 1% and then multiply by the actual number in your case 9 you can use a calculator for this to make it easy and you can get it pretty simple this usually works for all percent's if you have multiple like 9.74 use the lowest percent .04 that way you can use it to find the rest I hope this helps :) lmk if you want me to explain more

7 0
3 years ago
Antonio rented a bike from Alberto's Bikes. It cost $11 plus $4 per hour. If Antonio paid
Nina [5.8K]

Answer:

5 hours

Step-by-step explanation:

31-11 = 20

20/4 = 5

6 0
2 years ago
-4r-8(r-6)=7(5r-1)+8
KATRIN_1 [288]

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

As we have seen the value of r is "1"

6 0
3 years ago
2. What if Janelle began by running, then slowed to a walk, stopped, and then began running
stealth61 [152]
I think it is A
Hope this help you
7 0
3 years ago
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