The value of x is 15.
Solution:
Given ΔPQR ΔUTV.
<em>If two triangles are similar, then the corresponding parts are congruent.</em>
Do cross multiplication, we get
⇒ 14(x - 3) = 8(x + 6)
⇒ 14x - 42 = 8x + 48
Add 42 on both sides.
⇒ 14x = 8x + 90
Subtract 8x on both sides.
⇒ 6x = 90
Divide by 6 on both sides.
⇒ x = 15
The value of x is 15.
Answer:
To obtain equivalent amount from both foods we can eat 10 ounces of Food I and 5 Ounces of food II
To obtain minimum cholesterol, the individual should eat only 21 ounces of food II and zero ounce of food for the daily supplement of the individual
Step-by-step explanation:
Food I contains 32×C + 10×E per ounce
Food II contains 20×C + 14×E
Here we have X × (Food I) + Y × (Food II) = 420 C + 170 E
32·X + 20·Y = 420 C
10·X + 14·Y = 170 E
Therefore
X = 10 and Y = 5
To minimize the cholesterol, we can increase amount of Food II to get
21 ounces of food II gives
420 units of vitamin E and 294 units of vitamin E with 273 units of cholesterol.
Answer:
3x + y = 3
Step-by-step explanation:
the standard form for this kind of equation would be ax + by = c
so
we must first distribute the -3
y - 6 = -3x - 3
now add 3x to both sides
3x + y - 6 = -3
lastly add 6 to both sides
3x + y = 3
that is your answer
Answer:
1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Step-by-step explanation:
7
Answer is in the attached file...