Answer: Its surface covers 1400 cm²
Explanation:
Since the length of painting = 40 cm
Breadth of painting = 35 cm
Since we know that area of rectangle is product of dimensions.
∴ Area of painting = length × breadth
= 40 cm × 35 cm
= 1400 cm²
∴ Its surface cover 1400 cm².
Answer:
Sixth graders: 14
Seventh graders: 28
Eighth graders: 28
Step-by-step explanation:
To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:
70 students= 100%
sixth grades= 40%
Sixth grades= (40*70)/100
Sixth graders= 28
70 students= 100%
seventh grades= 20%
seventh graders= (20*70)/100
Seventh graders=14
So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:
28+14=42
70-42=28
SOwe have that the eighth graders are 28
The ODE is exact, since
so there is solution 
such that
Integrating both sides of the first PDE wrt 
gives
Differentiating both sides wrt 
gives
Then the solution to the ODE is
# # #
Alternatively, we can see that the ODE is homogeneous, since replacing 
and 
reduces to the same ODE:
This tells us we can solve by substituting 
, so that 
, and the ODE becomes
which is separable as
Integrating both sides gives
and solving in terms of 
,
Answer:
k
Step-by-step explanation:
k-h
<span>1) the solution to the inequality
10x + 18 < −2 is </span><span>A. x<−2
proof: </span>10x + 18 < −2 and <span>10x < −2 -18=-20 so 10x<-20 implies x< -20/10=-2
2) </span><span>the solution to the inequality
−6x + 5 > −1 is </span><span>B. x<1
proof: </span><span>−6x + 5 > −1 -6x>-1-5= -6, - 6x> -6 implies x< -6/-6=1
3) let's solve </span><span>−4.2y + 2.1 > −2.52
</span><span>if −4.2y + 2.1 > −2.52 so </span>−4.2y > −2.52 - <span> 2.1= - 4.62
</span>−4.2y > - 4.62 implies y< <span>- 4.62 / - 4.2=1.1
</span>so y<1.1
4) let's solve <span>−4/3x + 1/6 < 7/9
</span>
if −4/3x + 1/6 < 7/9 then −4/3x < 7/9 -1/6=7/9 -1/6 (multiplied by 3 for each member) we have −4x < 7/3 -1/2=(2x7-1x3)/2x3=11/6, it means −4x < 11/6
and then x>11/-24, x> -11/24
<span>the solution set of
−9.5x−1.5>−30 can be found by solving this inequation,
</span>−9.5x>−30 +1.5 −9.5x> -28.5 so it means x< 28.5/9.5=3
x<3, the solution set is S= ] -infinity, 3[
<span>
</span>
