For every 5 feet, the scale drawing is 1 unit. So we divide the dimensions by 5 to get the dimensions of the scale drawing.
120/5 = 24
1:5 = x:120 There are 24 5's in 120 so the new ratio is 24:120
75/5 = 15
1:5 = x:75 There are 15 5's in 75 so the new ratio is 15:75
The dimensions of the scale drawing is 24 units by 15 units.
So the answer is : 5y + 10 = 6y + 3
5y - 6y +10 = 3
-y= 3-10
-y= -7 Now you are looking for y not -y so you have to multiply or divide both side by (-1). It will be :
(-1) -y = (-1) -7
So:
Y = 7 Final answer.
1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000
Answer:
Pattern
Step-by-step explanation:
hope this helps
Answer:
(20,0)
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
(-5,-5).....x1 = -5 and y1 = -5
(10,-2)...x2 = 10 and y2 = -2
slope = (-2 - (-5) / (10- (-5) = (-2 + 5) / (10 + 5) = 3/15 = 1/5
y = mx + b
slope(m) = 1/5
use either point, I will use (10,-2)...x = 10 and y = -2
now we sub
-2 = 1/5(10) + b
-2 = 2 + b
-2 - 2 = b
-4 = b
so the equation for this line is : y = 1/5x - 4
to find the x intercept, sub in 0 for y and solve for x
y = 1/5x - 4
0 = 1/5x - 4
-1/5x = -4
x = -4 * -5
x = 20.......so ur x intercept is (20,0) <====
