<u>Answer:</u>
- x = 1
- New equation: 7 - 2 = 5
<u>Step-by-step explanation:</u>
- 7 - 2x = 5
- => 7 - 5 = 2x
- => 2 = 2x
- => x = 1
<u>Conclusion:</u>
Since:
Our new equation will be 7 - 2 = 5
Hoped this helped.
Answer:
30
Step-by-step explanation:
Permutation equation:
n = Total number of objects, r = Number of objects selected
Step-by-step explanation:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = \frac{k}{x} ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = \frac{k}{8} ( multiply both sides by 8 )
56 = k
P = \frac{56}{x} ← equation of variation
When x = 7 , then
P = \frac{56}{7} = 8
Answer:
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
Where "r" is the radius.
You know that the radius of the exercise ball is 33 centimeters, then, you must substitute the valueof this radius into the formula .
Therefore, the volume of the exercise ball is:
Answer:
(-2, 10)
Step-by-step explanation:
Our equations are:
-6x - y = 8
x + 3y = 29
Let's multiply the second equation by 12:
12 * (x + 3y) = 12 * 29
6x + 36y = 348
Now, add this new equation to the first equation:
6x + 36y = 348
+ -6x - y = 8
_______________
(36 - 2/5)y = 356
36 - 2/5 = 180/5 - 2/5 = 178/5
Divide both sides by 178/5:
y = 356 / (178/5) = 356 * (5/178) = 10
Plug this back into one of the original equations to get x:
(1/2)x + 3y = 29
(1/2)x + 3 * 10 = 29
(1/2)x = -1
x = -2
The answer is (-2, 10).
Hope this helps!