Answer:
105
Step-by-step explanation:
if you cross multiply 1 and you get which is 105
Answer:
(x, y) = (7, - 1)
Step-by-step explanation:
given the 2 equations
x + 7y = 0 → (1)
2x - 8y = 22 → (2)
Rearrange (1) expressing x in terms of y by subtracting 7y from both sides
x = - 7y → (3)
Substitute x = - 7y in (2)
2(- 7y) - 8y = 22
- 14y - 8y = 22
- 22y = 22 ( divide both sides by - 22 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = - 7 × - 1 = 7
Solution is (7, - 1 )
24/40 = 12/20 = 6/10 = 3/5 Answer is C
Answer:
Step-by-step explanation:
Suppose the length of the gift box is x inches.
Then the length of the shipping box would be 1.5x inches.
So now we know that the volumes of the gift box and the shipping box are respectively:
V(gift) = x^3 cubic inches
V(shipping) = (1.5x)^3 = 3.375x^3 cubic inches
The volume in the shipping box that is not taken up by the gift box would then be:
V(remain) = V(shipping) - V(gift) = 3.375x^3 - x^3 = 2.375x^3 cubic inches
Answer
a) PQ = 50
b) PC = 18
PY = 27
c) ZC = 6
ZQ = 18
Explanation
Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.
Part a
X is the midpoint of PQ. SoPX = XQ.
If PX = 25,
then PQ = 2PX
PQ = 2×25
PQ = 50
Part b
The centroid is alway two thirds away from the vertex.
Also PC = twice CY
PC = 2×9
PC = 18
So, if CY = 9, then PY = 3 × 9
PY = 27
Part c
(i) The centroid is alway two thirds away from the vertex.
If ZC = 12, then CZ =(1/2)QZ
CZ = (1/2) × 12
CZ = 6
(ii) The centroid is alway two thirds away from the vertex.
So, if CZ = 6, then QZ =3 CZ
QZ = 3×6
QZ = 18