12/3 = x/8
Cross multiply
3x = 96
Eliminate
3x/3 = 96/3
x = 32
14. 1.5, 10 <- Answer
15. 5,1 <- Answer
Proof 14
Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5
y = 10
Proof 15.
Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 5 y = 1
Answer:
$186.86
Step-by-step explanation:
<u>4 eggs cost:</u>
1 dollar per dozen (12 eggs), so by unitary method (ratios), we can find cost of 4 eggs. Shown below:
So, 4 eggs cost $0.33 approx
<u>12 lb. flour cost:</u>
2.50 dollar per pound, so 12 pounds would simply cost:
2.5 * 12 = $30
<u>14 lb of sugar cost:</u>
4.50 dollar per pound means 14 pounds would cost:
4.5 * 14 = $63
<u>2 ready-made edible flowers cost:</u>
5 cents for each flower means 2 flowers would cost:
5 cent = 0.05 dollars
0.05 * 2 = $0.10
We add all up to find cost of 1 cake. Shown below:
Cost of 1 cake = $0.33 + $30 + $63 + $0.10 = $93.43
Cost of 2 cakes = $93.43 * 2 = $186.86
Answer:
(-6, 0) and (3, 0)
Step-by-step explanation:
I think you meant f(x) = (x + 6)(x - 3). This graph intersects the x-axis in two places: (-6, 0) and (3, 0). These are the "x-intercepts."
That is =
(42.1/100)*37.5
=(421/1000)*(375/10)
=(157875/10000)
=15.7875
=15.8
=16
