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:
The slope of the line = m = 2
Step-by-step explanation:
Given
The points
To determine:
The slope of this graph
Determining the slope between (0, 0) and (1, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 0] / [1 - 0]
= 2 / 1
Thus, the slope of the line = m = 2
Answer: 
Step-by-step explanation:
Given
Azmyne decided to study a total of 
She spent
on Friday and
on Saturday
Hours spent on Friday

Hours spent on Saturday

She must study for

Answer:
-7/40
Step-by-step explanation:
5/8 - 4/5
~Find common denominators
25/40 - 32/40
~Subtract
-7/40
Best of Luck!
Conversions: to smallest (inches)
n= 22 inches
b= 2 1/3 yard = 84 inches
t= 12 1/2 feet = 150 inches
total space = t
night stand = n (2n for two nightstands)
bed=b
b+2n has to be < or = to t
84+2(22)=x
84+44=128
128 is < 150
therefore the answer is yes they will fit with 22 inches left over.