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AlekseyPX
3 years ago
6

A 3-foot wife wood deck will be built around rectangular shaped pool that measures 15feet by 30feet. The resulting shape is also

rectangular.If the lumber costs $10per square yard, what is the cost of the wood for the deck
Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

$340

Step-by-step explanation:

The pool is 5 yards wide by 10 yards long, so adding the deck will make the total area 7 yards wide by 12 yards long, or ...

(7 yd)·(12 yd) = 84 yd^2

The pool itself is ...

(5 yd)·(10 yd) = 50 yd^2

so the area of the deck is ...

84 yd^2 -50 yd^2 = 34 yd^2

Wood for each of those square yards costs $10, so the total cost is ...

($10/yd^2)·(34 yd^2) = $340

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Show steps for 5-x÷3=-7
Alla [95]

5-x÷3=-7

Add 3 to both sides of the equation.

5x=3+7

Divide each term by 5 and simplify.

Divide each term in 5x=10 by 5

5x/5=10/5

Reduce the expression by cancelling the common factors.

x= 10/5

Divide 10 by 5

Answer <em>x </em>=2


4 0
3 years ago
(4,?) is on the line below. find the other half of the coordinate. y=2/7x+3
Savatey [412]

Since we have (4,?) we know x=4. Substitute this into the equation and solve for y.


y= 2/7*4+3

y= 2/7*4/1+3

y= 8/7+3

y= 8/7 + 3/1

y= 16/14 + 42/14

y= 58/14 or 4.14


8 0
3 years ago
What is the anwer to (1/8)^1/3
mojhsa [17]

Answer:

1/8 ^ 1/3 =

1/2 or 0.5

6 0
3 years ago
Joe’s age is three times Aaron’s age and Aaron is six years older than Christina. If the sum of their ages is 149, what is Chris
Leno4ka [110]

<u>Answer</u>

If Christina's age is = x

Aaron's age is = x + 6

Jeo's age = 3(x + 6 )

So, the sum of their ages can be write as,

x + x + 6 + 3(x + 6) \\ x + x + 6 + 3x + 18 \\ 5x + 24

Also, they have given that the sum of their ages is 149

Therefore we can write a equation as,

5x + 24 = 149

Now let's solve this and find the age of Christina

5x + 24 = 149 \\ 5x = 149 - 24 \\ 5x =12 5 \\  \frac{5x}{5}  =  \frac{125}{5}  \\ x = 25

Aaron's age is

x+ 6 \\ 25 + 6 \\  = 31

Joe's age is

3(x + 6) \\ 3(25 + 6) \\ 3 \times 31 \\  = 93

Hope this helps you.

Let me know if you have any other questions :-):-)

8 0
3 years ago
Find the common difference of the sequence shown 1/6,1/3,1/2,2/3,......
tekilochka [14]

Answer:

Common Difference(d) is    

               d=\frac{1}{6}

Step-by-step explanation:

Given sequence is :

                 \frac{1}{6}, \frac{1}{3} ,\frac{1}{2} ,\frac{2}{3} .........

If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.

Considering a sequence:

       a_1,a_2,a_3,a_4..........\\

a_2-a_1=a_3-a_2=a_4-a_3=a_n-a_n_-_1=d

where 'd' is the common difference of the A.P.

Similarly, finding the common difference of the given sequence.

       

                           \frac{1}{3} -\frac{1}{6}= \frac{1}{2}- \frac{1}{3}=\frac{2}{3} - \frac{1}{2}=d\\

                              d=\frac{1}{3}-\frac{1}{6}=\frac{(2)(1)-(1)(1)}{6}=\frac{1}{6}

                                   d=\frac{1}{6}

Common Difference(d) is    

               d=\frac{1}{6}

8 0
3 years ago
Read 2 more answers
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