Answer: 20 parks
Step-by-step explanation:
Let the total number of parks be y.
Then 75% of y = 15 , that is
x y = 15
75y = 15 x 100
75y = 1500
divide through by 75
y = 1500/15
y = 20
Therefore Springfield have 20 parks altogether
Answer:
x= 1.5, y= 3.5
or x= -5, y= 10
Step-by-step explanation:
Let's solve by substitution.
Label the two equations:
y= 2x² +6x -10 -----(1)
y= -x +5 -----(2)
Substitute (2) into (1):
2x² +6x -10= -x +5
2x² +6x +x -10 -5= 0
Simplify:
2x² +7x -15= 0
Factorise:
(2x -3)(x +5)= 0
2x -3= 0 or x +5= 0
2x= 3 or x= -5
x= 1.5
Now that we have found the value of x, we can find the value of y through substitution.
Substitute into (2):
y= -1.5 +5 or y= -(-5) +5
y= 3.5 or y= 10
Supplementary:
Do check out the following should you wish to learn more about solving quadratic equations!
Answer:
y=1/3x+2
Step-by-step explanation:
The point (8,2,9) is in the first octant.
The closest distance from the coordinate planes is the value y=2, which will therefore be the maximum radius of the required sphere.
The standard equation of a sphere with radius r and centre (u,v,w) is given by
(x-u)^2+(y-v)^2+(z-w)^2=r^2
Substituting r=2, u=8, v=2, w=9, we get the equation of the required sphere
(x-8)^2+(y-2)^2+(w-9)^2=2^2
<u>The marked price of the article was $7865</u>
Answer:
solution given:
let marked price be x=?
discount =20%
vat=13%
selling price =$7232
we have
<u>discount amount=discount % of marked price</u>=20/100*x=0.2 x
and
<u>vat amount = vat% of selling price</u>=13/100*$7232=$940.16
we have
<u>Selling price with tax =marked price - discount amount + vat amount</u>
$7232=x-0.2x+$940.16
$7232-$940.16=x-0.2x
0.8x=$6291.84
x=$6291.84/0.8
x=<u>$7864.8</u>