Answer:
B(12)
Step-by-step explanation:
Constant of proportionality is basically the slope.
Slope = Δy/Δx
here y= distance travelled and x= number of hours
so slope = 36-3/3-0.25= 33/2.75 = 12
Answer:
Step-by-step explanation:
let the numbers at unit,ten and hundred place be x,y,z respectively,then number=100z+10y+x
also x=4z
y=z+5
and x+y+z=17
4z+z+5+z=17
6z=17-5=12
z=2
y=2+5=7
x=2×4=8
number=100×2+10×7+8=278
<span>The answer is that
4 kg of pure tin and 28 kg of 4% tin alloy were used to produce the 16% alloy.
</span>
Let,
x
= kg of pure 100% tin
and y = kg of 4% tin
x
+ y = 32
x
= 32 -y
1.00 x + 0.04 y = 0.16 x 32
By
solving the above system of equations we find:
Now
put the value of x in the above equation;
1
x (32 - y) + 0.04 y = 5.12
32
– y + 0.04y = 5.12
y – 0.04y = 32 – 5.12
0.96y
= 26.88
y = 26.88/0.96
y = 28 kg of 4% tin
Now
put the value of y in x = 32 – y
x = 32 – 28
<span>x = 4 kg of pure 100% tin</span>
Answer:
True.
Step-by-step explanation:
Yes because 8 is an element in the set of integers:-
........ -3, -2, -1, 0, 1, 2, 3..........