Amanda needs to spend more than 8 minutes on Routine 1 to burn more calories.
Step-by-step explanation:
Given,
Calories burned in Routine 1 = 15.5 calories per minute
Let,
t represents the number of minutes spent running.
Total calories burned = T
T = 15.5t Eqn 1
Calories burned in Routine 2 = 22 calories walking + 12.75 per minute
T = 12.75t + 22 Eqn 2
For burning more calories in Routine 1;
Eqn 1 > Eqn 2
Dividing both sides by 2.75
Amanda needs to spend more than 8 minutes on Routine 1 to burn more calories.
Keywords: linear inequality, division
Learn more about division at:
#LearnwithBrainly
The measure of the angle of a 24-gon is 3960. So, the angle one angle of a 24-gon would be A. 165.
Have you tried doing (3x+18)+(9x-27)=99
The problem statement suggests you use a calculator. A graphing calculator can give the answers you seek.
a) The calculator shows 5 solutions:
{5π/23, 5π/17, 25π/23, 25π/17, 45π/23}
These have approximate decimal values of
{0.6830, 0.9240, 3.4148, 4.6200, 6.1466}
b) The calculator shows 2 solutions with approximate decimal values of
{1.2925, 4.4341}
c) The calculator shows 2 solutions with approximate decimal values of
{1.3694, 4.9137}
_____
This (desmos) calculator displays intercepts to 3 decimal places. Since you want 4 decimal places, some additional refinement of the answer was necessary. That was accomplished using Newton's method iteration. The details are not shown. A suitable graphing calculator (for example, a TI-84) will supply the intercept coordinates to full calculator accuracy.
Question #1:
a)
(4, 2)
Both of these are positive, and when x and y are both positive they're both in Quadrant 1.
b)
(x + 1, y - 5)
Add 1 to 'x', subtract 5 from 'y':
(4 + 1, 2 - 5)
(5, -3)
x is positive and y is negative, that means this will be in Quadrant 4.
c)
Reflection Across y-axis:
(-x, y)
Multiply -1 to 'x':
(5 * -1, -3)
(-5, -3)
Both of these are negative, if both x and y are negative it's located in Quadrant 3.
Question #2:
No, that can't tessellate a plane. We can't cover up space so there are no overlaps or gaps.