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Elenna [48]
3 years ago
11

3(x – 2) + 4x = 10(x + 1)

Mathematics
2 answers:
balandron [24]3 years ago
3 0

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

Elis [28]3 years ago
3 0

Answer: x=-\frac{16}{3}

Step-by-step explanation:

Given the equation 3(x - 2) + 4x = 10(x+ 1), you need to solve for the variable "x":

Apply Distributive property:

3x - 6 + 4x = 10x +10

Add the like terms:

7x - 6= 10x+10

Subtract 10 to both sides of the equation:

7x - 6-10= 10x +10-10\\\\7x-16=10x

Subtract 7x from both sides:

7x-16-7x=10x-7x\\\\-16=3x

And finally divide both sides by 3:

\frac{-16}{3}=\frac{3x}{3}\\\\x=-\frac{16}{3}

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In 10 seconds Lauren counts 5 vehicles passing by her house at that rate how many vehicles would passing by in one hour​
Dafna11 [192]

Answer:

1,800 vehicles

Step-by-step explanation:

We need to find what fraction of an hour 10 seconds is, so we will divide 60 (minutes) by 1/6 (minutes). From solving this, we will get 360. That is how many 10 second chunks pass in an hour. We will multiply 360 by 5, and we get 1,800 vehicles!

4 0
3 years ago
A mammoth bone is found to contain roughly 5% of the isotope C-14. Living elephant bones commonly contain about 40% C-14. Given
Elina [12.6K]

Answer:

The mammoth died 17.190 years ago.

Step-by-step explanation:

Given information:

  • Half-life of C-14 is 5.700 years.
  • Living elephant bones commonly contain about 40% C-14.

For every 5700 years, the elephant's bones losses a half-life of C-14. And supposing that the living mammoth bones had the same percentage of C-14.

If the mammoth when living has 40%, then:

  • After 5.730 years, the mammoth bones will contain 20%.  
  • After 11.460 years(2 half-lives), the mammoth bones will contain 10%.
  • After 17.190  years(3 half-lives), the mammoth bones will contain 5%.

6 0
3 years ago
Read 2 more answers
7 · 15 can be written as _____.<br><br> 5(7 + 10)<br> 10(7 + 5)<br> 7(10 + 5)
netineya [11]
For the answer to the question above, 
<span>An easy trick can be to just find the product of 15*7. Then with that product see which product equals to the ones written on the answer choices.
</span>
the answer is <span>7(10+5)
I hope my answer helped you.

</span>
8 0
4 years ago
Read 2 more answers
Find sin x/2, cos x/2, and tan x/2, if cos x = -12/13, 180 degrees is less than x which is less than 270 degrees
Rashid [163]
Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12

tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5

2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26

sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26

sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
5 0
3 years ago
What is 29503.488rounded two decimal places​
vesna_86 [32]

Answer:29503.49

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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