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:
Option E - sigma greater than or equal to $327
Step-by-step explanation:
In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.
Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.
Thus, we would use the symbol ≥ which means "greater than or equal to".
Thus, the claim as a mathematical statement would be;
sigma greater than or equal to $327
Answer:
The correct option is A.
Step-by-step explanation:
The given number is
Where 5 is dividend and 11 is divisor.
Since dividend is less than divisor we add a decimal place and the first zero. Notice the decimal point which has appeared on the answer line and by the dividend. It does not appear anywhere else.
Now the dividend is 50. Divide the number by divisor.
Subtract 44 from 50.
Therefore remainder is 6. Place a zero after 6.
Now the new dividend is 60. Divide the number by divisor.
Subtract 55 from 60.
Therefore remainder is 5.
Therefore option A is correct.
I’m pretty sure you would have to make them equal
1. 3x -10=7x+14
2. Add 10 to both sides
3. 3x=7x+24
4. Subtract the variable ( 7x ) from both sides
5. -4x=24
6. Divide -4/24
I hope I did it right let me know if any errors
Answer:
76
Step-by-step explanation:
We know that the two angles must add up to 90 which means that
12+x-2=90
solve for x
14+x=90
x= 76
