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
Answer:
(-4,1)
Step-by-step explanation:
Ordered pair (-4,1) means that x = -4 and f(x) = 1
Ordered pair (1,-4) means that x = 1 and f(x) = -4
From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.
Answer:
7, 8, 8,7,8,9
Step-by-step explanation:
brainliest plss!!<3
Answer:
1/4
Step-by-step explanation:
Probability is essentially (# times a specific event occurs) / (# times any general event occurs).
Here, the "specific event" is selecting a multiple of four. The multiples of 4 from 1 to 20 are: 4, 8, 12, 16, and 20 - there are 5 of these. So, the number of times the specific event can occur is 5.
The "general event" is selecting any number out of the 20. Since there are 20 numbers, then there are 20 ways that a general event occurs.
So, the probability is 5/20 = 1/4.
Well... hmmm so.. for 500 bucks you only pay a rate of say "r", and it comes down to only 28cents, or $0.28.
If 500 is say the 100%, what percentage is 0.28?

now, we're assuming the company is charging and APR, so you pay that at the end of the year. We're also assuming the year is only 360 days.
so, if you borrow 1959 on simple interest for 251 days out of 360 days, how much are you repaying?

and surely you can do that one... which is just 1959 and a few pennies.