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
We have an object measured in <u>Meters</u>, and we want to cut sections of it off in <u>Centimeters</u>, a different unit of measurement.
Because we're subtracting sections of the pipe, we want to make the units the same, this will make our calculations easier.
1 Meter = 100 Centimeters, so, <u>2.5 Meters = 250 Centimeters</u>
We're cutting ( 60 Cm + 35 Cm + 90 Cm ) off, which totals <u>185 Cm</u>.
250 Cm Pipe - 185 Cm Cuts = 65 Cm Pipe Left
Answer
1000m^2
Step-by-step explanation:
125 * 8 = 1000m^2
Answer:
x=7
Step-by-step explanation:
6x-7 and 4x+7 are vertical angles and are thus equal. Then 6x-7 = 4x+7, or 2x = 14.
x = 7.
