Answer:
a) 21
Step-by-step explanation:
If the columns are labeled a, b, c, d left to right, it appears that we have ...

The value of M is 21.
_____
Questions like this require that you try different combinations of operations on the numbers shown to see if you can find a relationship. Here, the left column is a perfect square, so that is a clue. The difference of the numbers in the middle columns is a factor of the number in the right column -- another clue. It takes a certain amount of creative thought and familiarity with arithmetic facts. There is no "step-by-step" for a problem like this.
They are on quarenent one
Answer:
You have 8 choices for the third digit (digits 0 - 9 excluding the numbers you chose for the first and second digit). So by the multiplication principle (MP), there are 9*9*8 ways to do this. So there are 648 numbers that are 3 digit numbers and have no repeated digits.
Step-by-step explanation:
Answer:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
y = 0.75x
c)
He should work at the car wash.
Step-by-step explanation:
a)
Let x = number of candy bars sold
Let y = amount of money earned
b)
$42.75/57 = $0.75
Each candy bar costs $0.75
We can confirm that by dividing $38.25/51 = $0.75
1 candy bar sells for $0.75
2 candy bars sell for $0.75 * 2
x candy bars sell for 0.75 * x, or simply 0.75x
The equation is y = 0.75x
c)
y = 0.75x
y = 0.75 * 36
y = 27
Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.
He should work at the car wash.
Answer:
a
Step-by-step explanation:
Solving the inequality
>
+ 1
Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions
2(x + 3) > 3x + 12
2x + 6 > 3x + 12 ( subtract 2x from both sides )
6 > x + 12 ( subtract 12 from both sides )
- 6 > x , that is
x < - 6
The only value less than - 6 is - 10
Thus x = - 10 is a solution to the inequality