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alex41 [277]
2 years ago
9

Solve the following 5t - 3 = 3t + 5

Mathematics
2 answers:
Gelneren [198K]2 years ago
6 0

Answer:

t=4

Step-by-step explanation:

+3 to both sides

5t=3t+8

-3t from both sides

2t=8

÷2

t=4

5x4=20-3=17

3x4=12+5=17

Pavel [41]2 years ago
3 0

Answer:

t=4

Step-by-step explanation:

5t-3=3t+5 - subtract 3t from both sides

2t-3=5 - add 3 to both sides

2t=8 - divide by 2

t=4

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Find from u.<br><br> -12u = -24
Bingel [31]
Well, to find u, we have to remove all that is attached to it so the equation can just be u=...
   To find u, you have to remove what is attached to it, and that is -12. Then you have to look at the relationship between the -12 and u. The relationship is multiplication, and the opposite of multiplication is division, so all you have to do is divide both sides by -12. So;
-12u/-12=-24/-12
   The -12 cancels the -12, leaving u and the - in 12 cancels the - in 24. Leaving 24/12. And that is 2. Written as;
u=2
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5 0
3 years ago
Read 2 more answers
Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

30.2 million / 0.122 = 247.54 million total population. (Round answer as needed)

8 0
3 years ago
A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the
slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

55 = 6 + (3.5 * m)

We can solve this by first subtracting 6 from both sides to get:

49 = 3.5 * m

Dividing both sides by 3.5 we get:

14 = m

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0
3 years ago
Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
What is the value of C-F​
photoshop1234 [79]

Answer:

The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.

4 0
3 years ago
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