Answer:
39
Step-by-step explanation:
Let the smallest number be n,
then the three numbers are n, n+1 and n+2
Therefore, n+(n+1)+(n+2)=120
Collecting like terms,
n+n+n=120-1-2
3n=117
n=117/3
n=39
Therefore the numbers are 39,40 and 41.
And the smallest number is 39.
Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k = 
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
Answer:
Carla has been running 7 miles each day for 13 days.
Step-by-step explanation:
Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.
Let the number of days she ran 7 miles each day = x
Total distance run by Carla = 3 + 5 + 7(x)
= 8 + 7x
If her log book shows that she has run total distance = 99 miles
Equation representing her total run will be,
8 + 7x = 99
7x = 99 - 8
7x = 91
x = 
x = 13 days
Therefore, Carla has been running 7 miles each day for 13 days.
Area of <span>parallelogram
A = bh
so
b = A/h
b = </span><span>216.24 / 15.9
</span>b = 13.6
answer
<span>base of the parallelogram = 13.9 cm</span>
Answer:
must be greater than 7
Step-by-step explanation:
using pythagoras theorem
a^2=b^2-c^2
x^2=15^2-12^2
x^2=225-144
x^2=81
take square root both sides
√x^2=√81
x=9
and 9 is greater than 7