Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,

Write And Solve The Inequality.Nine Less Than The Product Of A Number N And Is No More Than 95.Fill In

Answers

Answer 1

box 1: 1/4

first arrow: - (less than)

second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)

box 2: 1/4

third arrow: same as second arrow

last arrow: =

box 3: 104 ÷ 1/4 = 416

message if you dont understand

hope this helped

Answer 2

The inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥  

We have,

Nine less than the product of a number n and 1/4 is no more than 95.

Let the number be n.

Now,

No more than means,

We have less than, greater than, and equal to.

We can use less than and equal to.

The inequality can be written as,

1/4 x n - 9 ≤ 95

(1/4)n - 9 ≤ 95

Add 9 on both sides.

(1/4)n ≤ 95 + 9

(1/4)n ≤ 104

Multiply 4 on both sides.

n ≤ 416

Thus,

The inequality that represents the given statement is

(1/4)n ≤ 95 + 9

The number n is n ≤ 416.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2


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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:

1/2 + x

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1/2 + x = 4

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1/2  +  x  =  4

-1/2            -1/2

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Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
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Answers

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

[tex]y = x + 3[/tex]

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

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[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

Given the equation

[tex]y = x - 3[/tex]

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

[tex]y = mx+b[/tex]

[tex]1 = 1(-2) + b[/tex]        ∵ (x, y) = (-2, 1) and m = 1

[tex]1 = -2 + b[/tex]

switch sides

[tex]-2+b = 1[/tex]

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simplify

[tex]b = 3[/tex]

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now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

[tex]y = mx + b[/tex]

[tex]y = (1)x + 3[/tex]

[tex]y = x + 3[/tex]

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

[tex]y = x + 3[/tex]

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3 The black  line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

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