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valentinak56 [21]
3 years ago
7

Solve the inequality |x − 6| − 10 < 1 Write the answer as a compound inequality

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11

1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)

1)x<17
2)x>-5

so we get -5 < x < 17

the answer: (-5; 17)
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3 years ago
The table shows the number of balls, by sport, in the gym. Sports Number of balls Basketball 2 Dodgeball 18 Soccerball 8 Tennis
ankoles [38]

Answer:

Option A is correct.

Step-by-step explanation:

No of Balls in Basketball = 2

No of Balls in Dodge ball = 18

No of Balls in Soccer ball = 8

No of Balls in Tennis ball = 14

\frac{No.\:of\:Soccer\:ball}{No.\:of\:Tennis\:ball}=\frac{8}{14}=\frac{4}{7}

Ratio of Soccer balls to Tennis balls = 4 : 7

⇒ For every 4 Soccer ball, there are 7 Tennis ball.

\frac{No.\:of\:Basket\:ball}{No.\:of\:Dodge\:ball}=\frac{2}{18}=\frac{1}{9}

Ratio of Basket ball to Dodge Ball = 1 : 9

⇒ For every 1 Basket ball, there are 9 Dodge balls.

Therefore, Option A is correct.

6 0
3 years ago
Please help me to answer this
Igoryamba
A. 1 = 3/3 = 4/4 = 52/52 = x/x

B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a

All the ratios must equal each other
5 0
4 years ago
20 points
Elodia [21]
<h2>Answer:</h2>

A one solution because it's x=1

<h3>Step By Step explanation:</h3>

this is the original problem

8x-3=3x+2

we want to have x by itself so. . .

we add three on both sides. it cancels -3. And 2+3=5

8x=3x+5

we subtract 3x on both sides so 8x-3x=5x and 3x cancels on the other side

5x=5

we divide by 5 on both sides to get x by itself

x=1

if it was 1=1 or x=x (the same on both side) it would've been infinite solutions. if the numbers didn't match like 4=6 it would've been no solution

3 0
4 years ago
How to do exterior angle
SVETLANKA909090 [29]
The exterior angles of a polygon all add to 360, if you need to find an exterior angle when given the number of sides and that all angles are equal you simply do: 360/ number of sides.
When you need to find the exterior angle when given an interior angle, you do: 180- interior angle.

Hope this helps :)
5 0
4 years ago
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