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3 years ago

12

i have 60 centimeters of lace to make a border around a retangular card. the width of the card is 20 centimeters. what is the le

ngth of the card?

1 answer:

Assoli18 [71]3 years ago

5 0

10 centimeters
20x2=40+10x2=60cm

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Solve the equation<br> 3x-2<br> 4<br> -<br> 2x - 5- 1 + x<br> 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

<u>How to find the LCM:</u>

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

<u>LCM: 12</u>

<u>_________</u>

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

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$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

<h3><u>____________________________</u></h3>

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2 years ago

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frosja888 [35]

Answer:

42.9 x 3.45 = 148.005 exactly or 148 rounded

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3 years ago

Read 2 more answers

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Brums [2.3K]

Answer:

y = -x - 3

Step-by-step explanation:

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2 years ago

I'm thinking of a number. My number is 5 more than one half of my number. What's my number?

s344n2d4d5 [400]

Answer:

10

Step-by-step explanation:

Half of 10 is 5. 5+5 is 10

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2 years ago

PLS ANSWER PLS PLS PLS

s2008m [1.1K]

The correct answer is 120 degrees.

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2 years ago