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3 years ago

the perimeter of a rectangle is 132 m. the length is 2 meters more than 3 times the width. find the dimensions of the rectangle

1 answer:

7 0

2l + 2w = 132
l = 3w + 2

2(3w+2)+2w=132
6w + 4 + 2w = 132
8w + 4 = 132
8w = 128
w = 16

l = 3(16) + 2
l = 48 + 2
l = 50

2(50) + 2(16) __ 132
100 + 32 = 132

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Any ideas on how to find the value of 'x' on either 13 or 16? Anything helps!

Artemon [7]

(x+5)/4=1/2
first get rid of the fraction
multiply both sides by 4
x+5=2
subtract 5
x=-3

(2x+1)/(4x-1)=2/3
get rid of the fractions,
multiply both sdies by (4x-1)(3)
(2x+1)(3)=(2)(4x-1)
distribute
6x+3=8x-2
subtract 6x form both sdies
3=2x-2
add 2
5=2x
divide by 2
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4 0

4 years ago

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

djyliett [7]

Answer:

$-3x-6 < -33$ and $-3x-6 \geq -6$

Step-by-step explanation:

we have

$-33 > -3x-6 \geq -6$

we know that

Compound inequality can be divided into two inequalities

$-33 > -3x-6$

rewrite

$-3x-6 < -33$

and

$-3x-6 \geq -6$

therefore

An equivalent form of the compound inequality is

$-3x-6 < -33$ and $-3x-6 \geq -6$

6 0

3 years ago

Every sixth visitor to the bookstore get a free calendar. Every twentieth visitor gets a free book. Which visitor each day will

Neko [114]

The 60 visitor will get the calendar and a book.

6 0

3 years ago

Read 2 more answers

2 tables and 3 chairs together cost $1900 wher93 tables and 2 chairs together cost $2600. Find the cost of a table and a chair.

valentina_108 [34]

Answer:

you can solve all your problems posted by this method ...

Step-by-step explanation:

mark me as brainliest ❤️

...............

6 0

2 years ago

Agent Bond is standing on a bridge, 13.5 m above the road below, and his pursuers are getting too close for comfort. He spots a

Scrat [10]

Answer:

Step-by-step explanation:

Eek! Let's give this a go. Things we know:

acceleration of Bond in free fall is -9.8 m/s/s

velocity of the truck is 25 m/s

displacement Bond will travel when he jumps is -10 m

What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.

Our displacement equation is

Δx = v₀t + 1/2at²

Filling in we have

$-10=25t+\frac{1}{2}(-9.8)t^2$

Simplifying we get

$-10=25t-4.9t^2$

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.

Good luck with this!

Cheers!

6 0

3 years ago