9(30+7) = (9*30)+(9*7)
This is the distributive property
x(y+z) = xy + xz
Let the dash = x
9(30+7) = (9*x)+(9*7)
9(37) = 9x + 63
333 = 9x + 63
Substract 63 from both sides
333 - 63 = 9x +63-63
270 = 9x
Divide both sides by 9
270/9 = 9x/9
30 = x
Or x = 30
Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
If you help me I would help you to
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Step-by-step explanation:
It's a product, and one of the factors is 7.
Answer:
d The product of a constant factor of seven and a factor with the sum of two terms
Let x = cost of the dishwasher.
The amounts the children are paying are:
Mark =20% = 1/5, so 1/5x
Sorin = 75
Raymond = 1/4x
Stephanie = 75
Kristin = 1/3x
Add them together:
x = 1/5x + 1/4x + 1/3x + 75 + 75
x - ( 1/5x + 1/4x + 1/3x ) = 150
Rewrite fractions with common denominator:
x - ( 12/60x + 15/60x + 20/60x ) = 150
60/60x - 47/60x = 150
13/60x = 150
x = 150/1 • 60/13
x = 9000/13
x = 692.31
The total cost of the dishwasher is $692.31
Now calculate the amount each child pays:
Mark = 1/5 x = 692.31/ 5 = $138.46
Sorin = $75.00
Raymond = 1/4 x = 692.31 / 4 = $173.08
Stephanie = $75.00
Kristin = 1/3 x = 692.31 / 3 = $230.77
