1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frosja888 [35]
2 years ago
15

john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and

a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?
Mathematics
1 answer:
Finger [1]2 years ago
4 0

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5x^{2}                   ]  x + 6

     5x

   patio               = area of 5x^{2} + 49x + 114

5x + 19

 

(5x + 19) ( x + 6) = 5x^{2} + 19x + 30x + 114

(5x^{2} + 49x + 114)                     -   (5x^{2} )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)

You might be interested in
Write in standard form a)0.00000678 b)3170000
otez555 [7]

Standard Form:

a) 0.00000678

b) 3170000

Scientific Notation:

a) 6 × 10^{4}

b) 6.78 × 10^{-6}

Is this what you meant?

8 0
3 years ago
A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1446 in ticket sales. Th
luda_lava [24]
X = adults
Y = child

X+y=168
X=168-y

$10x + $7y = $1446

10(168-y) + 7y = 1446
1680 - 10y + 7y = 1446
-3 y = -234
Y = 78

X = 168-78
X = 90

$10*90 + $7*78 =
$900 + $546 = $1446
6 0
3 years ago
Find the gradient of the line segment between the points<br> (-1,2) and (-2,3).
Svetach [21]

Answer:

The gradient of the line segment between the two points is -1

Step-by-step explanation:

The gradient of the line segment between two points is also known as the slope,

We  can find this by using the formula; y₂ - y₁ /  x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1  ,     y₁=2         x₂ =  -2        y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ /  x₂ - x₁

                = 3 - 2  /  -2-(-1)

                 = 1  /  -2 + 1

                  =1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1

8 0
3 years ago
Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i
Marina86 [1]

Step 1 ) Move all terms right side of the equation.

\displaystyle\ x^{2} + 6x = -18

\displaystyle\ x^{2} + 6x + 18 = -18 + 18

\displaystyle\ x^{2} +6x + 18 = 0

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

\displaystyle\ x^{2} +6x + 18 = 0

\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}

\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

Step 3 ) Simplify.

\displaystyle\ x = \frac{-6+6i}{2} ,

\displaystyle\ x = \frac{-6-6i}{2}

\displaystyle\ x = -3+ 3i,

\displaystyle\ x = -3 - 3i

Since the options only provide one of the answer we found, the answer is...

\displaystyle\ x = -3 - 3i

•

•

- <em>Marlon Nunez</em>

6 0
3 years ago
Read 2 more answers
Emma has addressed seven invitations to her
Firlakuza [10]

Answer:

12

Step-by-step explanation:

This can be solved by working backwards.

7 is one more than half the number of invitations.

Subtract 1.  6 is half the number of invitations.

Double.

12 is the full number of invitations.

Algebra (if you must!):

x = number of invitations

x/2 + 1 = 7

Subtract 1.

x/2 = 6

Multiply by 2.

x = 12

8 0
2 years ago
Read 2 more answers
Other questions:
  • Y = mx + b solve for m (literal equations)
    5·1 answer
  • Can you show me the workings : Find the product 1/6 x 1/5=
    8·1 answer
  • Why are the flat surfaces on a rectangular prism called faces
    12·1 answer
  • Y=21.95x+10<br> y=22.45x<br><br> Solve by substitution
    6·1 answer
  • How do you find the leg of a triangle?
    14·1 answer
  • When compared with the independent variable, how many of the graphs represent a linear relationship?
    10·2 answers
  • Harry went on a vacation traveling a total of 350 miles in 7 hours. What was his average speed throughout the trip?
    11·2 answers
  • The radius is longer than a chord that doesn't pass through the centre.
    10·1 answer
  • What is the equation of the line that is parallel to the line y = -1/3x+4 and passes through the point (6,5)
    13·1 answer
  • Please help!!!!!!!!! in the similarity transformation of abc to def, abc was dilated by a scale factor of ?, reflected across th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!