An odd number of rolls of pennies ($0.50 each) cannot be part of the solution, making answers A and D not worthy of consideration.
The correct choice is C.
The equivalent expression is 30x + 15y
<em><u>Solution:</u></em>
Given that we have to find the equivalent expression for given expression
<em><u>Given expression is:</u></em>
5(6x + 3y)
We can find the equivalent expression by using distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>By distributive property,</u></em>
a(b + c) = ab + ac
Therefore, in given expression 5(6x + 3y), 5 can be multiplied with both 6x and 3y

Multiply the numbers and simplify

Thus the equivalent expression is 30x + 15y
Step-by-step explanation:
that means the center of the circle is exactly in the middle between the 2 points.
and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5
so, the coordinates of the center are (3, -3.5).
and that makes the standard circle equation
(x - h)² + (y - k)² = r²
to
(x - 3)² + (y + 3.5)² = 3.5² = 12.25
as h, k are the coordinates of the center, and r is the radius (half the diameter).
Answer:
y ≈ 4.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
6(y + 1) = 32
6y + 6 = 32 ( subtract 6 from both sides )
6y = 26 ( divide both sides by 6 )
y ≈ 4.3 ( to the nearest tenth )