What is 4/8 simplified

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

(c) The number of gold ink bottles.

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0

2 years ago

A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to hav

Semmy [17]

Answer: 0.62

Step-by-step explanation:

Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.

i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627

Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :

$\hat{p}=\dfrac{x}{n}\\\\=\dfrac{627}{1010}=0.620792079208\approx0.62$ [ To the nearest hundredth]

Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

5 0

3 years ago

Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.

Iteru [2.4K]

Answer:

Step-by-step explanation:

When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

3 0

3 years ago

(5 pt) Enter a number in the box to make this a true number sentence. 5 × (6 – 4) = (5 × 6) – (5 × )

Sloan [31]

5x+1(6-4) = +1(5x6)-(5x)
this would be a hard question to answer but i think i can do it ((( nNOTTTT))))

5 0

3 years ago

Complete this factor tree to find the prime factors of 492

damaskus [11]

Answer:

246

Step-by-step explanation:

next time use a calculator

divide 492 by 2 and you get 246

divide that by 2 and you get 123

and divide that by 3 and you get 41

4 0

2 years ago

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What is 4/8 simplified ​

What is 4/8 simplified