Question

1. If r varies directly as s and inversely as t, r = 40, x = 5 and t = 6
a) 48
b) 40
c) 30
d) 8

2. The weight of a rectangular block of wood varies jointly as its lenght, width and thickness. If the weight of a 13 dm by 8 dm by 6. block of wood is 26 kg, find the weight of 12 dm by 8 dm by 3 dm block of wood.
a) 10
b) 12
c) 14
d) 16

3. Translate to a mathematical sentences, if k is the constant of variation, "the volume V a pyramid varies jointly as the area of the base B and altitude h"
a) \: V = kB^{2}ha)V=kB
2
h
b) \: V=kBhb)V=kBh
c) \: V = \frac{kB}{h}c)V=
h
kB
d) \: V= \frac{kB²}{h}d)V=
h
kB²

4. Find the value of the constant of variation if y varies jointly as b and c, and y = 256 when b = 8 and c = 4
a) 2
b) 4
c) 6
d) 8

5. In the equation
z = \frac{kmn}{y}, y = 0,z=
y
kmn
,y=0,
what varies inversely as z?
a) k
b) x
c) n
d) y​

Answer 1

Answer:

1.a

2.c

3.a

this is the answer