Solve the equation for x by graphing
2 answers:
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Answer: OPTION B.
Step-by-step explanation:
Given the following System of equations:
You can use the Elimination Method to solve it. The steps are:
1. You can mutliply the second equation by -3.
2. Then you must add the equations.
3. Solve for the variable "y".
Then:
4. Now that you know the value of the variable "y", you must substitute it into any original equation.
5. The final step is to solve for "x" in order to find its value.
Then:
Therefore, the solution is:
The smaller the angle subtended by a side, the smaller the length of the
side.
The correct responses are;
Question 1: The list of sides from shortest to longest are;
- MO/Shortest MO/Medium and MO/Longest
a) <u>Friday</u>
b) <u>70 minutes</u>
c) <u>40%</u>
d) Yes<u>,</u> <u>the sum of the </u><u>mean</u><u> number of </u><u>minutes spent</u><u> on </u><u>aerobic</u><u> training and the mean number of minutes spent on </u><u>strength</u><u> training is equal to the mean </u><u>total</u><u> number of minutes spent </u><u>training.</u>
From the given diagram, we have, the measure of the third angle, ∠O, is
found as follows;
∠O = 180° - 54° - 61° = 65°
Therefore, ∠O = The largest angle
We get;
The longest side is opposite the largest angle, which gives;
The shortest side is the side opposite ∠N (54°)=
The next shortest side is the side opposite ∠M(61°) =
The longest side is the side opposite ∠O(65°) =
a) The time spent training on Tuesday = 60 + 10 = 70 minutes
The time spent training on Thursday = 50 + 30 = 80 minutes
The time spent training on Friday = 45 + 40 = 85 minutes
Therefore, the day the athlete spent the longest total amount of time training is on <u>Friday</u>
b) The time spent training on Monday = 10 + 20 = 30 minutes
The time spent training on Wednesday = 20 + 15 = 35 minutes
Therefore, we get;
30, 35, 70, 80, and 85
The median total number of minutes the athlete spent training each day = <u>70 minutes</u>
<u />
c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120
The total number of minutes the athlete spent training = 70 + 80 + 85 + 30 + 35 = 300
=
×
%
d) The mean number of minutes spent on strength training is found as follows;
The mean number of minutes spent on aerobic training is found as follows;
The mean total number of minutes spent training, =
= 60
Therefore;
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