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3 years ago

Help asap show work i will make u brainlest.

Mathematics

1 answer:

o-na [289]3 years ago

4 0

Answer: (5) D (6) D (7) B (8) B (9) C

Step-by-step explanation:

5) 2 - 3n < 17 and 6n + 4 < 58

-2 -2 -4 -4

-3n < 15 6n < 54

÷ -3 ↓ ÷ -3 ÷6 ÷6

n > -5 and n < 9

-5 < n < 9

6) 6x + 5 > -49 and 7 - 4x ≥ -21

-5 -5 -7 -7

6x > -54 -4x ≥ -28

÷6 ÷6 ÷ -4 ↓ ÷ -4

x > -9 and x ≤ 7

-9 < x ≤ 7

7) -69 ≤ 6x - 9 ≤ -45

+9 +9 +9

-60 ≤ 6x ≤ -36

÷6 ÷6 ÷6

-10 ≤ x ≤ -6

8) -93 ≤ 9n - 3 < -84

+3 +3 +3

-90 ≤ 9n < -81

÷9 ÷9 ÷9

-10 ≤ n < -9

9) 4k - 6 ≤ -6 + 6k or -3k - 5 ≥ -2k + 10

-6k -6k +2k +2k

-2k - 6 ≤ -6 -k - 5 ≥ 10

+6 +6 +5 +5

-2k ≤ 0 -k ≥ 15

÷ -2 ↓ ÷ -2 ÷ -1 ↓ ÷ -1

k ≥ 0 or k ≤ -15

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3 years ago

3/5 + blank over 3 equals 14/15. whats the missing number

vlabodo [156]

Answer:

x = 1/3

Step-by-step explanation:

3/5 + x = 14/15

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3 years ago

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

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

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

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

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

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

Learn more about linear equations here:

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2 years ago