Answer:
y = 52x + 400
Step-by-step explanation:
A linear model has the form y = mx + b
There are two variables: the <em>volume (y) of water </em>and the <em>number (x) of minutes</em> the pool has been filling. The volume of water depends on how long the pool is filling.
m = (y₂-y₁)/(x₂ -x₁)
x₁ = 0; y₁ = 400
x₂ = 8; y₂ = 816
m = (816 - 400)/(8 - 0)
m = 416/8
m = 52 gal/min
The initial value (b) is the volume at time zero.
b = 400 gal
The linear function is
y = 52x + 400
===============
<em>Volume after 20 min
</em>
y = 52×20 + 400
y = 1040 + 400
y = 1440 gal
The pool will contain 1440 gal in 20 min.
12 stamps increased by 125%; find the new amount.
The answer to this is 27.
12 x 2 = 24
12 ÷ 4 = 3
<span>24 + 3 = 27</span>
Answer:
x=75, y = 50
Step-by-step explanation:
Solve the following system:
{x + y = 125 | (equation 1)
5 x + 8 y = 775 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 8 y = 775 | (equation 1)
x + y = 125 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 8 y = 775 | (equation 1)
0 x - (3 y)/5 = -30 | (equation 2)
Multiply equation 2 by -5/3:
{5 x + 8 y = 775 | (equation 1)
0 x+y = 50 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{5 x+0 y = 375 | (equation 1)
0 x+y = 50 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 75 | (equation 1)
0 x+y = 50 | (equation 2)
Collect results:
Answer: {x = 75
, y = 50
Answer:
3x + 12
Step-by-step explanation:
Distribute the 3
Answer:
12.5°
Step-by-step explanation:
In any triangle, an exterior angle is the sum of the remote interior angles.
The exterior angle at the vertex angle of an isosceles triangle will be the sum of the two congruent base angles. Hence, each base angle is half the value of the exterior angle.
25° = 2b
b = 25°/2 = 12.5° . . . . the measure of each base angle