Answer:
Step-by-step explanation:
5/y + 7/x =24.........(1)
12/y + 2/x =24........(2)
Let 1/y = a and 1/x = b
5a + 7b = 24 ...........(3)
12a + 2b = 24...........(4)
Multiply (3) by 2 and (4) by 7
10a + 14b = 48..........(5)
84a + 14b = 168.........(6)
Substracting (5) from (6)
84a - 10a = 168 - 48
74a = 120
a = 120/74
a = 60/37
Putting a = 60/37 in (3)
5a + 7b = 24
5(60/37) + 7b = 24
300/37 + 7b = 24
Multiply each term 37
300 + 259b = 888
259b = 888 - 300
259b = 588
b = 588/259
And a = 1/y
60/37 = 1/y
Cross multiply
60y = 37
y = 37/60
Also
b = 1/x
588/259 = 1/x
Cross multiply
588x = 259
x = 259/588
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
Answer:
its the 2nd on on the top row
Step-by-step explanation:
Answer:
The Area of Shaded region is 98 square inch
Step-by-step explanation:
In this given figure
length = 8 in = 3 + x
breadth = 4 + y
In a Rectangle
a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two
Now, let the smaller side be x and bigger side be y
Here, we get the equation
x + 3 = 8
x + 3 - 3 = 8 - 3
x = 5
Here, we get the value of x is 5
Now, By Pythagoras Theorem
x² + y² = 13²
(5)² + y² = 169 (x = 5)
25 + y² = 169
y² + 25 - 25 = 169 - 25
y² = 144
√y² = √144
y = 12
So, breadth = 4 + 12 = 16 inch
Now, For the area of rectangle
A = l × b
A = 8 × 16 in
A = 128 square inch
In a given triangle,
b = y = 12 in
h = x = 5 in
Now, For the area of Triangle
<em>A = ½ × b × </em><em>h</em>
A = ½ × 12 × 5 in
A = 6 × 5 in
A = 30 Square inch
So, For the shaded area,
= Area of Rectangle - Area of triangle
= 128 - 30
= 98 square inch
Thus, The Area of Shaded region is 98 square inch
<u>-</u><u>TheUnknownScientist</u>
Answer:
{-8, 8}
Step-by-step explanation:
Simplify 7· |n| = 56 by dividing both sides by 7:
|n| = 8
Because this is an absolute value equation, there are two separate solutions. One is n = +8 and the other is n = -8.