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Dvinal [7]
3 years ago
7

Can i get some help with #6

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0
Just break it up
4x^2 needs to equal 240
So find what equals 240 when multiplied by 4
ollegr [7]3 years ago
6 0
4(x^2) + 2 - (242) ➡0
(2^2 x^2 + 2) - 242 ➡0
4 (x^2 - 60)
Now factor: x^2 -60
4 (x^2 - 60) ➡0
4 ➡0[solve]
x^2➡±60 [by the way]
X ➡ ±  √15 [⬅this might be your answer if you're working with square roots]
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Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch s
Gnoma [55]

Part I: Scale Drawing

<span>Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.</span>

 a) Scale Factor: 1 in/ 2 ft 

Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio

b) see the picture attached

Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft

<span><span>c) What are the dimensions of Mrs. Johnson’s patio? </span>
</span>the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft

<span><span>d) Calculate the area of Mrs. Johnson’s patio.  Show all work.  
</span> </span>
area of the square=b²
where b is the length side of the square
b=10 ft
so
Area=10²-----> area =100 ft²

<span><span>e) How many pavers will be needed?  Show all work. </span>
</span>
we know that
1 paver is 16 in x 16 in dimensions
convert to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed 

<span><span>f) What will it cost to build the patio?  Show all work. 
 </span> </span>
the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95

the cost to build the patio is $499.95

Part II: Bigger Design

<span>There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”</span>

 

<span>a) What would be the new dimensions of Mrs. Johnson’s patio?
</span>the new  dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

<span>b) Calculate the new area of Mrs. Johnson’s patio.  Show all work.
</span>area of the square=b²
where b is the length side of the square
b=20 ft
so 
Area=20²-----> area =400 ft²<span>  
</span>
<span><span>c) How many pavers will be needed for the new design?  Show all work.
</span> </span>
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed 

<span>d) What will it cost to build the bigger patio?  Show all work. 
</span>the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

<span><span>e) Is Khianna right?  Will doubling the size of the patio, double the cost?</span>
</span>
<span>Khianna is wrong to double the dimensions the cost quadruples</span>

5 0
3 years ago
the expression 6 to the 3rd power times 4 to the 2nd power is equivalent to which of the following numerical expression
fenix001 [56]
216 times 16

6^3 is 216 and 4^2 is 16
5 0
3 years ago
HELP EDCITE !!! PLEASE HELP
Nady [450]

Answer:

1 Yrd ÷ 67 Yrd =32

give me brainiest

3 0
3 years ago
Suppose 49 percent of the customers at Pizza Palooza order a square pizza, 71 percent order a soft drink, and 38 percent order b
Dmitry [639]

Answer:

b. No

Step-by-step explanation:

Represent

  • Square Pizza with S
  • Soft Drink with D

Such that

P(S) = 49\%

P(D) = 71\%

P(S\ and\ D) = 38\%

Required

Determine if events S and D are independent

Two events S and D are independent if:

P(S\ and\ D) = P(S) * P(D)

Substitute values for P(S) and P(D)

P(S\ and\ D) = 49\% * 71\%

Convert to decimals

P(S\ and\ D) = 0.49 * 0.71

P(S\ and\ D) = 0.3479

Convert to percentage

P(S\ and\ D) = 0.3479 * 100\%

P(S\ and\ D) = 34.79\%

The calculated P(S and D) is not equal to 38%

Hence, the events are not independent.

4 0
2 years ago
What would p equal if p+7-5 =-10
Vera_Pavlovna [14]

Answer: p= -12

Step-by-step explanation:

3 0
3 years ago
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