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Salsk061 [2.6K]
3 years ago
13

1.3.29

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0

Answer:

The width of the frame is 3 inches

Step-by-step explanation:

We are told that the inner rectangle is 10 inches by 16 inches.

It means the outer rectangle has to be (L = 10 + 2x) by (W = 16 + 2x),

Where x represents the width of the frame.

The perimeter of the frame is given by; p = 2L + 2W

p = 2(10+2x) + 2(16+2x)

We are given perimeter, P = 76

Thus;

2(10 + 2x) + 2(16 + 2x) = 76

Divide both sides by 2 to give;

(10+2x) + (16+2x) = 38

(10+16) + (2x+2x) = 38

4x = 38 - 26

4x = 12

x = 12/4 = 3

The width of the frame is x = 3 inches

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Step-by-step explanation:

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suter [353]

Answer:

none of the above

Step-by-step explanation:

The given equation can be divided into two parts:

... x - 2 = y = (1/3)x +8

Putting the left equation into standard form, it becomes

... y -x = -2

Multiplying it by 5 gives ...

... 5y -5x = -10 . . . . . . . . . . . matches answer choices A or B

Please note there is no obvious reason <em>why</em> the equation is multiplied by 5. (It is no longer in standard form when there is a factor of 5 that can be removed.)

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Putting the right equation into standard form, it becomes

... y = (1/3)x + 8

... 3y = x + 24 . . . . . multiply by 3

... 3y -x = 24 . . . . . . subtract x . . . . . . matches answer choice D

Solution:

An appropriate system of equations is ...

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  • 3y -x = 24

These have solution (x, y) = (15, 13) as the original equation does.

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<em>Comment on the question</em>

In cases like this, where none of the offered answers has any relevance to the problem, I suggest you have your teacher show you how to work this problem and check the resulting answer.

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???? WHO IS THE FASTEST ?? HELP
LuckyWell [14K]

Answer:

The fastest runner is Brooke

Step-by-step explanation:

In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.

Tony

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Frank

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kobusy [5.1K]

The solution to the inequality - 5.3 + x > 21 is x > 26.3

In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.

In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.

- 5.3 + x + 5.3 > 21 + 5.3

x > 26.3

The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.

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Point T is at (–16.8, 31.7) and point M is at (1.2, 12.5). Point M is the midpoint of the line segment whose endpoints are S and
elixir [45]

Answer:

option c (19.2, -6.7) is correct

Step-by-step explanation:

Mid point - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.

if (x,y) and (x_{1},y_1) are the end points of a line segment then mid point is

given by :- (x+x1)/2 ,   (y+y1)/2

according to question :

given : end point T(-16.8, 31.7)  and mid point M(1.2, 12.5)

let coordinates of another end point S (a, b)

therefore, using mid point formula

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-6.7 = b

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