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3 years ago

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Olivia is making scarves each scarf will have 5 rectangles and 2/5 of the rectangles will be purple how many purple rectangles d

oes she need for 3 scarves

1 answer:

Tomtit [17]3 years ago

8 0

Answer:

Out of every 5 rectangles 2 shall be purple.

3 scarves have 3 times 5 rectangles.

Thus they shall be 3 times 2 that are purple.

Step-by-step explanation:

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The question is in the picture.

dangina [55]

<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

r3=15+10=25

<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

r7=5+(7-1)×10 =5+6×10 =65

which is the no of seats in 7th row.

8 0

3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

wariber [46]

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

$\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?$

It is required to find the missing value in the second equation.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

$\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)$

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

$\rm y = -2x+4 \\\\\rm 2x+y=4$ (multiply both the sides by 3)

$\rm 6x+3y=12$ ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

brainly.com/question/11897796

8 0

1 year ago

Make a conjecture about the next item in the sequence<br> 1, 1, 2, 3, 5, 8

Marizza181 [45]

It would be 13 because you are adding 5 and 8

6 0

3 years ago

Read 2 more answers

Right answer will get a brainlist

Vladimir [108]

It is 12.31 I think.

5 0

2 years ago

Which number is greatest? 2.89 times 10 Superscript negative 8 1.997 times 10 Superscript 2 8.9 times 10 Superscript negative 6

love history [14]

<h3> The greatest number is $1.997 \times 10^2$ </h3>

<em><u>Solution:</u></em>

<em><u>Given that the numbers are:</u></em>

$2.89 \times 10^{-8}\\\\1.997 \times 10^2\\\\8.9 \times 10^{-6}\\\\5 \times 10^{-6}$

We have to find the number that is greatest

Convert the numbers to decimal

$2.89 \times 10^{-8} = 2.89 \times \frac{1}{10^8} =0.0000000289$

$1.997 \times 10^2 = 199.7$

$8.9\times 10^{-6}=8.9\times \frac{1}{10^6}=0.0000089$

$5\times 10^{-6}=5\times \frac{1}{10^6}=0.000005$

We can clearly see that, 199.7 is greatest number

Thus the greatest number is $1.997 \times 10^2$

3 0

3 years ago

Read 2 more answers