Answer:
H
Step-by-step explanation:
To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.
Lets find how much flour we need for just one serving.
2 2/3 ÷ 6
8/3 ÷ 6
8/3 * 1/6
8/18
4/9 cup of flour per serving
If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.
4/9 * 18/1
72/9
8 cups of flour for 18 servings
Best of Luck!
Pq + pr = 80 => p (q+r) = 80
pq + qr = 425 => q (p+r ) = 425
Factorize 80 with having one factor as prime number
80 = 2 * 40 = 5 *16
Factrorize 425 with having one factor as prime number
425 = 5 * 85 = 17 * 25...
Therfore, p has to be 2.
q = 17 and r= 23...
p + q +r = 2 + 17+ 23 = 42
Answer:
1469.5
Step-by-step explanation:
when rounding to whichever place always look at the number to the right of the spot you are rounding to
since "2" is less than 5 we ignore all the numbers after the tenths place
hope this helps!
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write
a/12 = 5/b.....(1)
Also applying pythagoras theorem to the large triangle
b^2 = 5^2 + 12^2
b^2 = 169
b = 13
So substituting in equation (1):-
a / 12 = 5 / 13
a = (5*12 ) / 13
