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
Hey Samia Mansuri i perrty sure the answer is a if not it has to be b
Answer:
The answer is 91.
Step-by-step explanation:
If p = -3, then your equation is 64 + (-9 × -3).
-9 times -3 is 27.
27 + 64 = 91
Answer:
The lengths of all three sides (in feet) are = 15, 14, and 18 feet
Step-by-step explanation:
Perimeter of Triangle = 47ft
Let the one side be 'x'
<em>Side 1 = x</em>
One side of the triangle is one foot longer than the second side
<em>Side 2 = x - 1</em>
<em>The third side is four feet longer than the second side</em>
<em>Side 3 = (x - 1) + 4</em>
<em />
<em>Perimeter = sum of all sides</em>
<em>47 = x + (x - 1) + (x - 1) + 4</em>
<em>47 = x + x - 1 + x - 1 + 4</em>
<em>47 = 3x + 2</em>
<em>47 - 2 = 3x</em>
45 = 3x
<u>x = 15</u>
substitute for x in each of the sides
<em>Side 1 = x => </em><em>15 feet</em>
<em>Side 2 = x - 1 => 15 - 1 = </em><em>14 feet</em>
<em>Side 3 = (x - 1) + 4 => 14 + 4 = </em><em>18 feet</em>
