Answer:
Step-by-step explanation:
times in the y+9 and y+7 and get y squared + 16x+ 63+80.
Answer:
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
Step-by-step explanation:
To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.
To find the new scale, we can find the real length of the patio first:
2 inches -> 3 feet
14 inches -> X feet
2/14 = 3/X
X = 21 feet
Now we can use this value to create the new scale:
16.8 inches -> 21 feet
2 inches -> X feet
16.8/2 = 21/X
X = 2*21/16.8 = 2.5 feet
So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet
Now, to find the new width of the blueprint, we can do the following rule of three:
14 inches of length -> 16.8 inches of length
12 inches of width -> X inches of width
14/12 = 16.8/X
X = 12*16.8/14 = 14.4 inches
7/16 is proportional to 35/80 also 14/32 , 21/48 and 28/64 and an infinite number of possibilities
Given:
Seven hot dogs and two hamburgers cost 14.50
Two hot dogs and seven hamburgers cost 17.00.
To find:
The cost of one hot dog and the cost of one hamburger.
Solution:
Let the cost of one hot dog be x and the cost of one hamburger be y.
According to the question,
...(i)
...(ii)
Multiply (i) by 7.
...(iii)
Multiply (ii) by 2.
...(iv)
Subtract (iv) from (iii).
Divide both sides by 45.
Put x=1.5 in (i).
Divide both sides by 2.
Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.
Hello from MrBillDoesMath!
Answer:
(y+ 5/6)^2 = 169/36
Discussion:
3y^2+5y=12 => (divide both sides by 3)
y^2 + (5/3)y = 12/3 = 4 =>
Add\subtract the square of one-half the coefficient of y:
( y^2 + (5/3)y + (5/6)^2) - (5/6)^2 =4 (add (5/6)^2 to both sides)
(y^2 + (5/3)y + (5/6)^2 = 4 + (5/6)^2 =>
(y+ 5/6)^2 = 4 + (5/6)^2 = 4 + (25/36) =
(144+25)/36 = 169/36
So
(y+ 5/6)^2 = 169/36
We can also solve for y by taking the square root of both sides:
(y + 5/6) = sqrt(169/36)
= +\- 13/6 ( as 169 = 13*13 and 36 = 6*6)
y = (-5/6) +\- 13/6
Thank you,
MrB