Answer:
Step-by-step explanation:
From the question we are told that
February Heat 
February Gas 
April Heat 
April Gas 
Generally equation for heating degree-days X is mathematically given by
Generally the equation for gas bill Y is mathematically represented by
The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is
Answer:
The window should be positioned 4 1/8 feet far from each edge of the wall.
Step-by-step explanation:
Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:
1/8 = 0.125
3/8 = 0.375
(11,375 - 3,125) / 2 = X
8.25 / 2 = X
4.125 = X
Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.
3w +2 =7w
-3w -3w
2=4w
Divide each side by 4
1/2=w
Check your answer:
3 (1/2) + 2 = 7 (1/2)
(3/2) + (4/2) = (7/2)
(7/2) = (7/2)
Hope this helps.
The width used for the car spaces are taken as a multiples of the width of
the compact car spaces.
Correct response:
- The store owners are incorrect
<h3 /><h3>Methods used to obtain the above response</h3>
Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.
We have;
Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)
New space design = 16·x + 9×(a·x) = x·(16 + 9·a)
When the dimensions of the initial and new arrangement are equal, we have;
10 + 12·a = 16 + 9·a
12·a - 9·a = 16 - 10 = 6
3·a = 6
a = 6 ÷ 3 = 2
a = 2
Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;
10 + 12·a < 16 + 9·a
Which gives;
x·(10 + 12·a) < x·(16 + 9·a)
Therefore;
The initial total car park space is less than the space required for 16
compact spaces and 9 full size spaces, therefore; the store owners are
incorrect.
Learn more about writing expressions here:
brainly.com/question/551090
Answer:
<em>Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift</em>
Step-by-step explanation:
<u>Equations</u>
Let's make:
x = the number of years from now
Karim now is 22 and Ziad is 8. x years from now Karim will be
22 + x years old and Ziad will be
8 + x years old.
Karim will give Ziad a wonderful gift when:
22 + x = 3(8 + x)
22 + x = 24 + 3x
Solving:
x = -1
This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift
