Answer:
The remainder is 8
Step-by-step explanation:
Let Jonah's Marble=x
If he arranges x marbles into y rows of 13 each, and there are remainders(R)
Then:
x/13=y+(R/13).....(I)
If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1
New Total Marbles=x+5
(x+5)/13=y+1.....(ii)
x+5=13(y+1)
x=13y+13-5
x=13y+8
From (I)
x=13y+R
Comparing the values of x derived from (I) and (ii)
13y+R=13y+8
Therefore the Remainder, R= 8
Answer:
5/1, 25/5
Step-by-step explanation:
No
5*x= x (correct)
5*1=5 (incorrect)
When I say correct or incorrect it means that it does/doesn’t match 5x+1
Answer:
312
Step-by-step explanation:
T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area
9 - 3 = 6 - 3 = 3
( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area
72 + 48 + 192 = 312
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
