Answer:
Water in container B will be at 6.own
Step-by-step explanation:
calculate the volume in cont. A
VoA=400×6
=2400cm cube
VoB=420ml
=420cm cube [1ml=1cm cube]
now add both volumes
V=2400+420
=2820cm cube
Now,
2820 cm cube in jar B so
2820=420×h
h=6.71
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
Answer: -13w - 7
Step-by-step explanation:
-6w + (-8) + 1 + (-7w)
Combine the like terms
-8 + 1 = -7
-6w + (-7) + (-7w)
-6w + (-7w) = -13w
-13w + (-7)
However, because adding a negative number is the same as subtracting the number as a positive, you can just make it -13w - 7
Answer:
Step-by-step explanation:
Let s represent the son's age now. Then s+32 is the father's age. In 4 years, we have ...
5(s+4) = (s+32)+4
5s +20 = s +36 . . . . . eliminate parentheses
4s = 16 . . . . . . . . . . . . subtract s+20
s = 4
The son is now 4 years old; the father, 36.
_____
<em>Alternate solution</em>
In 4 years, the ratio of ages is ...
father : son = 5 : 1
The difference of their ages at that time is 5-1 = 4 "ratio units". Since the difference in ages is 32 years, each ratio unit must stand for 32/4 = 8 years. That is, the future age ratio is ...
father : son = 40 : 8
So, now (4 years earlier), the ages must be ...
father: 36; son: 4.
Answer:
Option A is correct.
The function for the given graph is;

Step-by-step explanation:
An exponential function is in the form of
......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)

or

Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=