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LUCKY_DIMON [66]
3 years ago
12

Thirteen less than eight times a number is equal to 11 more than six times the number

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Step-by-step explanation:

8x - 13 = 6x + 11

Subtract 6x from both sides

8x - 6x = 13 + 11

Add 13 to both sides

2x = 24

divide both sides by 2

x = 12

Check solution in original equation;

8(12) - 13 = 6(12) + 11

96 - 13 = 72 + 11

83 = 83

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3 years ago
What is (5a2 − 3a + 8) + (−4a2 − 1) + (15a + 11) expressed in its simplest form?
murzikaleks [220]

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3 0
3 years ago
Read 2 more answers
Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
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5 0
3 years ago
What is the value of x?
Serjik [45]
The triangle ADC and the triangle CDB are similar. Therefore:
\dfrac{x}{6}=\dfrac{6}{8}\ \ \ \ |cross\ multiply\\\\8x=6\cdot6\\\\8x=36\ \ \ |:8\\\\x=4.5
Answer: A 4.5

6 0
3 years ago
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