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olga2289 [7]
3 years ago
9

Eric created a rectangular patio using 1 foot square paving stones,which are sold in batches by the dozen. The patio measures 7

feet by 8 feet. How many batches of paving stones did Eric need?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
I believe it is 56 because 7•8 is 56 and 1•56 is 56
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The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four
Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

<em>Perimeter = sum of all sides</em>

<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

<em>47 = 3x + 2</em>

<em>47 - 2 = 3x</em>

45 = 3x

<u>x = 15</u>

substitute for x in each of the sides

<em>Side 1 = x                   => </em><em>15 feet</em>

<em>Side 2 = x - 1              => 15 - 1 = </em><em>14 feet</em>

<em>Side 3 = (x - 1) + 4      => 14 + 4 = </em><em>18 feet</em>

6 0
3 years ago
Read 2 more answers
What is the range of the function f(x) = 3x2 + 6x – 8?
oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

3 0
2 years ago
-12 + 8a = -a + 6(2a - 2)
pogonyaev

Answer:

41/6

Step-by-step explanation:

-12+81=-1+6(2a-2)

first distribute:

-12+81=-1+12a-12

combine like terms:

<u>-12+81</u>= <u>-1</u>+12a<u>-12</u>

69=-13+12a

add -13 with 69:

82=12a

divide 82 and 12:

82/12= 41/6

3 0
3 years ago
Read 2 more answers
All sets that contain the number 5 ?
vivado [14]
Real numbers, rational numbers, Integers, Whole numbers, and Natural numbers. 
5 0
3 years ago
If the company provides 1 1/4 vacation days to its employees every month,how many vacation days does an employee get every year?
FromTheMoon [43]
We know there are 12 months in a year so we would multiply 1 1/4 by 12. We can write 1 1/4 as 1.25 (to make it easier to multiply). 12x1.25=15
Your answer is 15 vacation days in one year
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3 years ago
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