Amount of walnuts=
Amount of almonds=
Amount of pecans=
Total amount=
LCM is 4 so sum is = 
=
As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:
= 
= 5
Hence, answer is 5 bags.
Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;
Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
1) You included neihter what Ramesh says nor the statements, then I can you tell some facts about the pattern.
2) The sequence is: 2401, 343, 49, 7, and 1.
3) The first term is 2401
4) The sequence is a decreasing geometric one.
5) The ratio is found dividing two consecutive terms (the second by the first, or the third by the second, or the fourth by the third, or the fifth by fourth):
1/7 = 7 / 49 = 49 / 343 = 343 / 2401.
So, the ratio is 1/7
6) The sum of that sequence is 2401 + 343 + 49 + 7 + 1 = 2801
Answer:
1
Step-by-step explanation:
David Joyner might be the first name, so you may only have to check 1 name.
