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Sliva [168]
3 years ago
5

Solve each equation l x+11 l=8 l 3x-2 l=16

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0
|x + 11| = 8
 x + 11 = 8
<u>      -11   -11</u>
         x = -3

|3x - 2| = 16
3x + 2 = 16
<u>      -2     -2</u>
     <u>3x</u> = <u>14</u>
      3      3
       x = 4 2/3
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A storage container is shaped like a rectangular prism. The volume of the container is 1360 cubic feet. The area of the base of
Nadusha1986 [10]

Answer:

8.5 feet

Step-by-step explanation:

To find the volume of a rectangular prism, you must multiply the area of the base by the height. Conversely, if you wanted to find the height of the prism, you could simply divide the volume by the area of the base. 1360/160=8.5 feet. Hope this helps!

4 0
3 years ago
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Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2
Marianna [84]

Answer:

the answer is actually 313 ft not a single person has answered the correct answer... smh

Explanation:

313 ft

sinΘ = opp/hyp

Hailey's depth: x = 300sin30 = 150

partner's depth = 150 + 25 = 175

then, find horizontal distance

300^2 = 150^2 + b^2

b = 150 x square root of 3

then,

c^2 = (150 x square root of 3)^2 + (175)^2

c = 313.25

8 0
3 years ago
Solve 20x + 12 ≥ 14x + 30
Rashid [163]

Subtract 14x from both sides to get

20x-14x+12 \geq 30

Subtract 12 from both sides to get

20x-14x \geq 30-12

Now we have moved all terms involving x on one side, and all constant terms on the other. We can simplift both sides, i.e. sum like terms, to get

6x \geq 18

Now we have to divide both sides by 6. When dealing with inequality you have to be careful about dividing both sides by the same constant: if the constant is negative, the inequality side switches (i.e. \geq \leftrightarrow \leq). But this is not the case since 6 is positive, so we mantain the inequality sign:

on the other. We can simplift both sides, i.e. sum like terms, to get

\cfrac{6x}{6} \geq \cfrac{18}{6}

Evaluate left and right hand side:

x \geq 3

4 0
4 years ago
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lana66690 [7]

Answer:

44

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substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms

k = 1 : 2(1)² - 4 = 2 - 4 = - 2

k = 2 : 2(2)² - 4 = 8 - 4 = 4

k = 3 : 2(3)² - 4 = 18 - 4 = 14

k = 4 : 2(4)² - 4 = 32 - 4 = 28

sum = - 2 + 4 + 14 + 28 = 44

8 0
4 years ago
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the sun is about 93 x 10 to the 6th power miles from earth what is the distance written as a whole number
Kipish [7]
93 x 10^6 = 930^6
Good Luck!
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3 years ago
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