Answer:
x = 5/33 or 0.151515151
Step-by-step explanation:
7(-6x-2) = 8(3x-4)
step 1: simplify the equation.
-42x - 14 = 24x - 4
step 2: isolate the variable (using the balance method).
-42x - 14 + 14 = 24x - 4 + 14
-42x = 24x + 10
-42x - 24x = 24x - 24x + 10
-66x = 10
step 3: solve for x.
x = 10 ÷ -66
x = 5/33
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find y
The attached triangle is isosceles; so:

Also, we have:
--- angles in a triangle
Substitute: 

Collect like terms


Answer: She has 76 dimes and 78 quarters.
Step-by-step explanation:
Given data:
Total = $27.20
Solution:
Q = d + 2
Each quarter is 25 cents, or 0.25 of a dollar = 0.25q
Each dime is 10 cents = 0.10d
0.25q+0.10d = $27.20
Where q = d-2
Substitute in this equation:
0.25(d+2)+0.10d = 27.20
0.25d + 0.5 + 0.10d = 27.20
0.35d = 26.7
Divide both sides by 0.35
d = 76
She has 76 dimes and 76 + 2 = 78 quarters.
Answer:

Step-by-step explanation:
Given
Shape: Opening of a circular vase


Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.

Solve for radius (r)



Substitute 6.75 for r in 


--- Approximated
<span>2.5 × 104 miles................................................................</span>