Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
<u>9</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>x</u> - 40 = <u>3x - 3x</u> + 20
6x - 40 = 20
6x <u>-</u><u> </u><u>40</u><u> </u><u>+</u><u> </u><u>40</u> = <u>20</u><u> </u><u>+</u><u> </u><u>40</u>
6x = 60
<u>6x</u><u> </u><u>/</u><u> </u><u>6</u> = <u>60</u><u> </u><u>/</u><u> </u><u>6</u>
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
<u>9</u><u>(</u><u>10</u><u>)</u> - 40
<u>90</u><u> </u><u>-</u><u> </u><u>40</u>
50
3x + 20
<u>3</u><u>(</u><u>10</u><u>)</u> + 20
<u>30</u><u> </u><u>+</u><u> </u><u>20</u>
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer:
-Managing money $$$
-Balancing the checkbook.
-Shopping for the best price.
-Preparing food.
-Figuring out distance, time and cost for travel.
-Understanding loans for cars, trucks, homes, schooling or other purposes.
-Understanding sports (being a player and team statistics)
-Playing music.
These are things we do everyday that use Math.
Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.
Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.
Let's find a^2 and b^2 by squaring the first 2 side lengths.
(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2
Then add the two to find c^2
x^4+ 2x^2 +1= c^2
Root both sides
x^2+1=c
Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!
Answer:
3 times
Step-by-step explanation:
She has 1 1/2 hour to spend in the gym.
1 hr = 60 minute
1/2 of an hour
= 1/2 * 60
= 30 minutes.
In total, she spends 90 minutes in the gym.
If 1/3 of an hour is meant in running, it translates into;
1/3 * 60 = 20 minutes
If 1/6 of an hour is spent in weight-lifting, it translates into;
1/6 * 60 = 10 minutes
In total, she spends,
20 minutes + 10 minutes = 30 minutes for both activities.
To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.
= 90 minutes/30 minutes
= 3 times for each cycle.