How to solve this problem: 1 1/2(n-4 1/2)=12

Mathematics

1 answer:

Vikentia [17]3 years ago

4 0

Answer:

n = 25/2, or n = 12 1/2

Step-by-step explanation:

It's essential that you use parentheses here to show how your numerals are grouped. I have made some assumptions here, and believe you meant:

(1 1/2)(n - 4 1/2) = 12.

First, convert 1 1/2 and 4 1/2 into improper fractions:

(3/2)(n - 9/2) = 12

Multiplying both sides by (2/3) eliminates the fractional coefficient (3/2):

n - 9/2 = (2/3)(12), or n - 9/2 = 8.

Again, eliminate the fraction by multiplying all terms by 2:

2n - 9 = 16

Then 2n = 25, and n = 25/2, or n = 12 1/2

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Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(4, 5) sin = (4√41)/41 (5√41)/41 4/5 5/4 what is

Viefleur [7K]

Ok One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 

a=4; b=5; 

4^2 + 5^2 = c^2 
16 + 25 = c^2 
41 = c^2 
c = √41 

Therefore, the hypotenuse has a length of √41. 

To find the sinθ, you take the opposite over the hypotenuse. 

Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. 

Your answer is 5/√41. 

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6 0

3 years ago

The difference of 7 and the product of 4 and a is 11

BlackZzzverrR [31]

Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.

Now solve that equation.
4x - 1 = 11
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3 0

2 years ago

Read 2 more answers

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Answer:

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