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Black_prince [1.1K]
3 years ago
11

twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number ​

Mathematics
1 answer:
GaryK [48]3 years ago
4 0
The answer should be 37



2(x+8) = 3(x-7)

distribute
2x+16 = 3x-21

Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21

Add 21 to both sides
16+21 = x-21+21
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I need help please???!!!!!!!
aleksandrvk [35]

Answer:

512 is equivalent

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2=2^9

2^9=512

7 0
3 years ago
Please help need answer asp
N76 [4]
I'm pretty sure the answer is 12.
4 0
3 years ago
Which of the following could be the side lengths of a right triangle?
choli [55]
Recall that in a right-triangle, the hypotenuse, or longest side, is √(a²+b²).

\bf \sqrt{4.1^2+6.2^2}\qquad \approx\qquad 7.43303437
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\sqrt{40^2+60^2}\qquad \approx\qquad 72.1110255
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\sqrt{3.2^2+5.4^2}\qquad \approx\qquad 6.27694193
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\sqrt{33^2+56^2}\qquad =\qquad 65

pick your poison.
8 0
3 years ago
The cost of 3 notebooks and 4 pencils is $8.50. Determine the cost of one notebook and one pencil
Assoli18 [71]
Call the notebooks x, and the pencils y. 
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>

<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>

<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>

<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>

<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>

<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>

<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>

<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
6 0
3 years ago
Write a paragraph explaining how Theoderic’s actions after becoming king of Italy weakened the idea of Roman greatness. NEED DON
Irina18 [472]

After resuming as the leader of the Ostrogoths, Theodoric in 493 killed his brother became Lord of the land, and refused to submit Italy to the Roman Emperor. According to history, it made no sense to him to continue to submit to an emperor in Rome that was far away and who didn't have any interest in Italy but to siphon it.

<h3>Who was Theodoric?</h3>

Also known as Theodoric the Great, or as Flavius Theodoricus, he was the King of the Ostrogoths.

Under the direction of the Roman Emperor - Zeno, he has invaded Italy and removed the incumbent King - Odoacer.

See the link below for more about Theodoric:

brainly.com/question/19569498


6 0
3 years ago
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