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saul85 [17]
3 years ago
5

Allison is laying pavers to build a patio in her backyard. Each square paver measures 2 feet on each side. She would like the pa

tio to be 12 feet by 4 feet.
Area of a square formula A = s2.
Area of a rectangle formula A = lw.

How many pavers does Allison need to build the patio?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

12 pavers

Step-by-step explanation:

step 1

Find out the area of one square paver

The area of a square is

A=s^{2}

where

s is the length side of the square

we have

s=2\ ft

substitute

A=2^{2}

A=4\ ft^{2}

step 2

Find out the area of the rectangular patio

we know that

The area of a rectangle is

A=LW

we have

L=12\ ft\\W=4\ ft

substitute

A=(12)(4)

A=48\ ft^2

step 3

Find out the number of pavers needed to build the patio

Divide the area of the rectangular patio by the area of one paver

48\ ft^2/4\ ft^{2}=12\ pavers

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One number is eight less than three times another number. If the sum of the numbers is 20, find the numbers.
mamaluj [8]

Answer:

7 & 13

Step-by-step explanation:

Let the first number be x

2nd number = 8 less than 3 times the other

2nd number = 3x - 8

Their sum = 20

X + 3x - 8 = 20

4x -8 = 20

Collect like terms

4x = 20+8

4x = 28

Divide both sides by 4

4x/4 = 28/4

X = 7

First number = 7

2nd number = 3x - 8

= 3(7) - 8

= 21 -8

= 13.

Therefore the numbers are 7 and 13

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4 0
3 years ago
Can someone help me with this
Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

FH=FG+GH

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

4x=(2x+10)+x

Solve for x. On the right, combine like terms:

4x=3x+10

Subtract 3x from both sides:

x=10

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

FG=2x+10\\FG=2(10)+10

Multiply:

FG=20+10

Add:

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And we're done!

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3 years ago
Which of the following rotational symmetry is applied to the regular not​
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9514 1404 393

Answer:

  • yes
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Step-by-step explanation:

A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.

Rotational symmetry of 40° applies.

Rotational symmetry of 200° applies.

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Rina8888 [55]

Answer:

C

Step-by-step explanation:

Rate of change is the slope

Function A:

Slope = change in y/Change in x

= (9-3)/(3-0) = 6/3 = 2

Function B:

Clearly the slope is 3

(y = mx + c, m is the slope)

Rate of change of B is more than A

4 0
3 years ago
Help need work shown ASAP
ozzi

Answer:

y = 2x + 1

Step-by-step explanation:

From the table attached,

x          y            Difference [d=(y_2-y_1)]

-1         -1                   -

0          1              1 - (-1) = 2

1           3             3 - 1 = 2    

2          5             5 - 3 = 2

Since,there is a common difference 'd' = 2

Therefore, this table represents a linear equation.

Let the equation is,

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Two points lying on the linear equation are (-1, -1) and (0, 1)

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

m = \frac{1+1}{0+1}

m = 2

And y-intercept 'b' = 1 unit

Therefore, equation of the line will be,

y = 2x + 1

5 0
3 years ago
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