Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
Since its a six sided die the probability for rolling a single number ( like six or four) is always going to be 1/6.
and since the dice has the numbers 1, 2, 3, 4, 5 and 6 on it the probability for the even and the odd numbers are the same the even being 2, 4, 6 and odd being 1, 3, 5. the probability is 3/6 or simplified 1/2.
Answer:
vvvIf the perimeter of the rectangle is 60 in, find its area.
Step-by-step explanation:
Answer:
It annually drops by 20%
Step-by-step explanation:
30,000 multiplied by 20% is 6000. Subtract 6000 from 30,000 and you get 24,000. 24,000 multiplied by 20% is 4,800. Subtract 4,800 from 24,000 and you get 19,200. Etc.
Answer:
160
Step-by-step explanation:
Muliply both sides by 20/3 to get e=20/3*24=160
