Solve for x:
x/5 - 10 = 30
Put each term in x/5 - 10 over the common denominator 5: x/5 - 10 = x/5 - (50)/5:
x/5 - (50)/5 = 30
x/5 - (50)/5 = (x - 50)/5:
(x - 50)/5 = 30
Multiply both sides of (x - 50)/5 = 30 by 5:
(5 (x - 50))/5 = 5×30
(5 (x - 50))/5 = 5/5×(x - 50) = x - 50:
x - 50 = 5×30
5×30 = 150:
x - 50 = 150
Add 50 to both sides:
x + (50 - 50) = 50 + 150
50 - 50 = 0:
x = 150 + 50
150 + 50 = 200:
Answer: x = 200
Multiply the decimal conversion of 20% by 32 to find the discount. 20% = 0.20, so 0.20*32 = 6.4. Therefore, the discount is $6.40.
Hope that helped.
Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Answer:
6a
Step-by-step explanation:
replace x with -a
-2a -6(-a)
-2a +8a
6a
Answer:
<h3>
2642km</h3>
Step-by-step explanation:
Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;
D = 
Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10
If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km
Hence the birds distance in km will be 2642km to the nearest kilometers
