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4 years ago

Solve for t. 16 - 2t = t + 9 + 4t please help.

Mathematics

1 answer:

Delvig [45]4 years ago

6 0

Answer:t=1

Step-by-step explanation:

16-2t=t+9+4t

Collect like terms

4t+2t+t=16-9

Combine like terms

7t=7

Divide both sides by 7

7t ➗ 7=7 ➗ 7

t=1

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erastovalidia [21]

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

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3 years ago

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The quotient of two numbers is -12. One of the numbers is −3. What is the other number?

umka21 [38]

The answer is -4 because -4 times -3 equals -12

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3 years ago

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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

then

$27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}$

Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

$3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8$

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3 years ago

HELP WITH STATISTICS! I'M FAILING

mestny [16]

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4 years ago

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It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to f

Hoochie [10]

Answer: $1\dfrac{3}{4}\text{ feet}$

Step-by-step explanation:

Given: Length of sandwich = $10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}$

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

$\dfrac{\text{ Length of sandwich}}{\text{Total people}}$

$=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}$

Hence, length of each piece = $1\dfrac{3}{4}\text{ feet}$

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3 years ago