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3 years ago

How do you do elimination in systems of equations?

1 answer:

4 0

Well, for solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.

- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!

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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:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

$n = 200$ --- 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

3 years ago

if gabby wants to make a regular octagon with a side length of 20 inches of water , how much wire does she need?

EleoNora [17]

Answer:

160 inches

Step-by-step explanation:

An octagon has 8 sides;

20*8=160

4 0

3 years ago

What is the answer to number 3

Elis [28]

3x-2x-7

=x(plus symbol)7

6 0

3 years ago

Read 2 more answers

How do you do it can you guys help me please

Usimov [2.4K]

To answer 13 you have to convert the numbers there are 8 pints in a gallon so 64/8=8 so there are 8 gallons
For 14 you would do 64x9=576 and there are 12in in a foot so 576/12 so 48 ft and there are 3 feet in a yard so 48/3=16 so Devon need 16 yds of ribbon

7 0

3 years ago

Solve the equations below:

Lelu [443]

➪ 3x = 15 - 2

➪ 3x = 13

★ $\large\pink{x = \sf{\dfrac{13}{3}}}$