Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
The answer is y = 3x - 2. To find slope, you subtract y2 - y1 and x2 - x1. In this case, y2 - y1 = 10 - 4 and x2 - x1 = 4 - 2. You would result in 6/2, which can be reduced to 3. Your slope is 3, so the first and second answer automatically are eliminated. Next, you could either draw it out on a coordinate plane or just visualize it. The starting point that goes through each line would be -2, which means D, or y = 3x - 2, is the correct answer.
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:
10cm 5cm and 9cm
Step-by-step explanation:
just try this
take any two measurements and add them together if they are larger than the 3rd measurement it will work and all you have to do is do that to each measurement
10+5 is greater than 9
9+5 is greater than 10
9+10 is greater than 5