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2 years ago

I need help on this question can someone please help me?

Mathematics

2 answers:

just olya [345]2 years ago

5 0

Opposite angles in a parallelogram are equal so
4n - 2 = 2n + 32
you move the 2n to the left side of the = (trying to get all the n values on one side of the equation) and move the - 2 to the right side of the =
when you move a value to the opposite side of the = the thing becomes the opposite. so 2n is a positive so when you move it to the left it becomes a negative so -2n. the -2 is a minus so when you move it to the right side of the = it becomes a plus so +2
4n - 2n = 32 + 2
you add/subtract the like terms so
2n = 34
then you move the 2 from the 2n to the opposite side of the = as you’re trying to get n on its own. 2n has a hidden multiply (2 x n) so when you move it to the opposite side of the = the multiply becomes the opposite which is divide so the equation is now
n = 34 ÷ 2
n = 17

Svetllana [295]2 years ago

3 0

I really hate these algebra problems pretending to be geometry.

Anyway angles B and D are congruent in a parallelogram. Geometry part done.

4n - 2 = 2n + 32

2n = 34

n = 17

Answer: 17, which is the 3rd choice

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The equation represent a linear relation with the y-intercept

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1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

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Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

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Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

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