A. Kelley uses 2 parts blue for every 3 parts yellow
Answer:
Total peanut=324
Step-by-step explanation:
Let the peanut=x
Philip took 1/3 of x
Remaining peanut=x-1/3x
=3x-x/3
=2/3x
Joy took 1/4 of the remaining leaving 3/4
Remaining=(3/4)(2x/3)
=6x/12
=1/2x
Brent took 1/2 of those, leaving 1/2
=(1/2)*(1/2x)
=1/4x
Preston took 10
Remaining
1/4x - 10 = 71
1/4x = 81
x=81÷1/4
=81*4/1
x = 324
Total peanut =324
Philip=1/3x
=1/3*324
=108
Remaining 324-108
=216
Joy=1/4 of 216
=54
Remaining
324-108-54=162
Brent=1/2 of 162
=81
Preston=10
Total taken=Philip+joy+Brent+Preston
=108+54+81+10
=253
Total remaining=Total peanut - total taken
=324-253
=71
Answer:
2.625
Step-by-step explanation:
2 + 5/8
2 + .625 = 2.625
5/8 = .625
Let width be W
Then length = 5W
P=2L+2W
P< 96cm
Then the Perimeter of the rectangle is equal to
(2L+2W)< 96
2*(5W)+2W)≤96
Therefore, 2w+2⋅(5w)≤96
should be your answer
Answer:
The distance between A and D to the nearest tenth is;
Explanation:
Given the two points;
Applying the distance between two points formula;
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
substituting the given coordinates we have;
![\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AD%3D%5Csqrt%5B%5D%7B%28-3-6%29%5E2%2B%28-2-2%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B%28-9%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B81%2B16%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B97%7D%20%5Cend%7Bgathered%7D)
Simplifying;
Therefore, the distance between A and D to the nearest tenth is;
