Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
Answer:
y =x² + y² + 2y - 35
Step-by-step explanation:
The equation of a circle is given by the formula;
(x-a)²+(x-b)² = r²
Where; (a, b) is the center of the circle and r is the radius
Therefore;
(x-0)² +(y+1) = 6²
x²+ y² +2y + 1= 36
x² + y² + 2y - 35 = 0
Therefore; The equation of the circle is y = x² + y² + 2y - 35
Answer:his speed in still air is 6 miles per minute.
the speed of the wind is 1 mile per minute.
Step-by-step explanation:
Let x represent his speed in still air.
Let y represent the speed of the wind.
It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y
Distance = speed × time
It means that
35 = 5(x + y)
35 = 5x + 5y - - - - - - - - - - -1
It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y
It means that
35 = 7(x - y)
35 = 7x - 7y - - - - - - - - - - -2
Multiplying equation 1 by 7 and equation 2 by 5, it becomes
245 = 35x + 35y
175 = 35x - 35y
Adding both equations, it becomes
420 = 70x
x = 420/70 = 6
Substituting x = 6 into equation 1, it becomes
35 = 5 × 6 + 5y
35 = 30 + 5y
5y = 35 - 30 = 5
y = 5/5 = 1
Answer:
Step-by-step explanation:
Let the number of games is g
<u>Total cost at Mar Vista:</u>
<u>Total cost at Pinz:</u>
<u>Since same amount spent in both places, we have:</u>
- 3.5g + 2 = 3.25g + 5
- 3.5g - 3.25 = 5 - 2
- 0.25g = 3
- g = 3/0.25
- g = 12
The equation is 
.
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is 
. Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction 
simplifies to 
.
<h2>Answer:</h2>
Hope this helps :)
