Answer:
Step-by-step explanation:
Let the number of cockles be c and that of winkles be w.
From the first relation,
w = 2c ..........(I)
From the second relation, 6 winkles are accidentally split.
This in equation form means the following:
c/w- 6 = 3/5
By cross multiplication,
5c = 3(w - 6)...........(ii)
We know w = 2c , let’s substitute this into the second equation.
5c = 3(2c - 6)
5c = 6c - 18
Collecting like times, c = 18
And w = 2c = 2(18) = 36
Hence, there were initially 18 cockles and 36 winkles
Answer:
15
Step-by-step explanation:
Joyce reserved number 1 for herself
Of all the possible combinations,
1 and 15 is a perfect match for a perfect square
So,Joyce dinner partner was number 15.
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
150*2/3=100
take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.
Step-by-step explanation:
Answer:
30-5×2 of 3+(19-3) ÷8
Step-by-step explanation:
30-5×6+(19-3)÷8
30-5×6+16÷8
30-30+8
38-30
8
