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3 years ago

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The perimeter of a rectangle is 100 inches. If the length of the rectangle is (3x + 5) inches, and the width is (x – 9) inches.

Find the value of x. P = 2l + 2w
Enter your answer as an integer or decimal.

x =

2 answers:

tester [92]3 years ago

8 0

The perimeter of a rectangle is the sum of all sides of the rectangle. The value of x in the given rectangle is 13.5

Given that:

$L = 3x + 5$ --- Length

$W = x - 9$ --- Width

$P = 100$ --- Perimeter

We have:

$P = 2l + 2w$

So, the expression becomes

$100 = 2 \times(3x + 5) + 2 \times (x - 9)$

Divide through by 2

$50 = 3x + 5 + x - 9$

Collect like terms

$3x + x = 50 - 5 + 9$

$4x = 54$

Divide through by 4

$x = 13.5$

Hence, the value of x is 13.5

Read more about perimeters at:

brainly.com/question/4074407

hodyreva [135]3 years ago

7 0

Answer:

value of x is 13.5 inches.

<em>hope </em><em>this </em><em>answer </em><em>helps </em><em>you </em><em>dear.</em><em>.</em><em>.</em><em>.</em><em>take </em><em>care!</em>

<em>perimeter</em><em> </em><em>=</em><em> </em><em>2</em><em>l</em><em> </em><em>+</em><em> </em><em>2</em><em>b</em><em> </em><em>too </em><em>and </em><em>it </em><em>is </em><em>also </em>

<em>2</em><em> </em><em>(</em><em> </em><em>l </em><em>+</em><em> </em><em>b </em><em>)</em>

<em>→</em><em> </em><em>2</em><em>l</em><em> </em><em>+</em><em> </em><em>2</em><em>b</em>

<em>breadth</em><em> </em><em>and </em><em>width</em><em> </em><em>are </em><em>same!</em>

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$$c=\frac{1}{3}$

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3 years ago

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A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. What rebate (in dollars) would

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Answer: he would receive a rebate of $1677.5

Step-by-step explanation:

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Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres

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Answer:

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

After the translation, the coordinates of vertex A is (-2,6).

Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

The translation statement is given by:

$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

$(-3,4)\rightarrow (-3+1,4+2)=(-2,6)$

After the translation, the coordinates of vertex A is (-2,6).

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Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

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The inequality is used to solve how many hours of television Julia can still watch this week is $x + 1.5 \leq 5$

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<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤ 5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

$x + 1.5 \leq5$

Thus the above inequality is used to solve how many hours of television Julia can still watch this week.

Solving the inequality,

$x + 1.5 \leq5\\\\x \leq 5 - 1.5\\\\x \leq 3.5$

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