4x-3y=17......(1)
5x+4y=60......(2)
Multiply equation (1) by 4 and equation (2) by 3:-
16x - 12y = 68
15x + 12y = 180
Adding these 2 equations:_
31x = 248
x = 248/31 = 8
Now substitute x = 8 in equation (1):-
4(8) - 3y = 17
32-3y = 17
-3y = -15
y = -15/-3 = 5
So solution is x=8,y=5
Answer:
let one even number be N
and another even number be N(N+2)
N(N+2)=360
n^2+2n-360=0
n^2+20n-18n-360=0
value of N= -20 ,18
but -20 not accepted
smaller number 18
Step-by-step explanation:
So you would just have to divide 20/7 to get the percentage of it.
The answer would be 2.85%.
Answer:
<h2>18mins</h2>
Step-by-step explanation:
This problem is on combined work rate
given that
Marta can vacuum the house in 30 min
then her rate= 1/30
Also, her daughter will take 45 min to vacuum the house
her daughter's rate will be = 1/45
then the combined work rate is
1/30+1/45=1/T
30+45/30*45=1/T
75/1350= 1/T
1/18=1/T
This means that they will both take 18 minutes working together to vacum a house
Answer:
Step 4 is incorrect he did not divide correctly from step3 to step 4
Step-by-step explanation:
The circumference of a circle is
C = 2 * pi *r
We know the circumference is 12 pi
12pi = 2 pi *r
Divide each side by 2 pi
12 pi/2pi = 2pi r/ 2pi
6 = r
From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r
In step 4 he got 6 =pi r instead of pi