Answer:
700 candies
Step-by-step explanation:
Jade- 7*10*6=420
Dwayne- 7*8*5=280
7 stands for 7 days. 10 and 8 for the boxes. 6 and 5 for the candies in the boxes.
420+280=700.
Answer:
steep
Step-by-step explanation:
Answer:
18 x and 6 y
Step-by-step explanation:
hope it helps bud
Step-by-step explanation:
2 3/4 = 11/4 (there are 4/4 in 1, so 2 have 8/4, and then plus 3/4 = 11/4).
1 4/7 = 11/7 (7/7 in 1 plus 4/7 = 11/7)
so, we actuality have
11/4 ÷ 11/7 = 11/4 × 7/11 = (7×11)/(4×11) = 7/4 = 1 3/4
Let x=ab=ac, and y=bc, and z=ad.
Since the perimeter of the triangle abc is 36, you have:
Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36
The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.
Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).
The perimeter of the triangle abd is 30:
Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60
So, we have two equations on x, y and z:
(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60
Substitute 2x + y by 36 from (eq.1) in (eq.2):
(eq.2') 36 + 2z = 60
And solve for z:
36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12
The measure of ad is 12.
If you prefer a less algebraic reasoning:
- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).
- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:
ad = 30 - (36/2) = 30 - 18 = 12
