Nr of chocolates = c
nr of bags of 5 = a
nr of bags of 7 = b
50<c<70
c=5*a+2
c= 7*b-1 therefore b can be max 10 (if b=11 then c=76>70 can't do)
let's say b=10 then c=69 but in this case a=13.4 not integer (also can't do)
let's say b=9 then c=62 then a = 12 wich is ok
solution 1 c=62
let's also try for b=8 wich means c=55 and a=10.6, not integer, not ok again
and also for b=7 wich means c=48 but 48<50 so no go again and also for b<7 wich means c will grow smaller and smaller
so the only solution is c=62
Answer:
Step-by-step explanation:
Just take the larger exponent and subtract the smaller exponent and it becomes -->
=
Given that triangle <span>STU
is reflected once to map onto
triangle S'T'U'.
Given that triangle STU has
vertices S(8, 6), T(2, 2), U(5, 1).
If vertex T' is at
(2, −2), this means that triangle STU is refrected across the x-axis.
A refrection across the x-axis results in an image that has the same x-value as the pre-image but a y-value that has the opposite sign of the y-value of the pre image.
Thus, a point, say (x, y), refrected over the x-axis will result in an image with coordinate (x, -y)
Therefore, given that the coordinate of S is (8, 6), then the coordinates of vertex S'</span> is (8, -6).
Answer:
V = 8.06 cubed units
Step-by-step explanation:
You have the following curves:
In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:
(1)
To determine the limits of the integral you equal both curves f=g and solve for x:
Then, the limits are a = -1 and b = 1
You replace f(x), g(x), a and b in the equation (1):
The volume of the solid of revolution is approximately 8.06 cubed units