First, we know (D is dad, J is Jill) that D+J=50.
Second, in 5 years D will be 3 times as old so
(D+5)= 3*(J+5)
Moving on, if we know D+J=50 then D=(50-J) is true.<span>Taking that relationship and substituting for D in the other equation, it becomes
50 - J + 5 = 3 * (J + 5)
Then, it becomes </span>50 - J + 5 = (3 * J) + (3 * 5)
Then, 55 - J = (3 * J) + 15
Then, 55 - 15 = (3 * J) + J
<span>which becomes 40 = 4*J</span>
Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
-------------------
9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
Answer:
1.07 pounds I think, something like that
Answer:
Step-by-step explanation:
it is maximum.
when leading coefficient of x² is negative,
It is downward parabola.
or
y=-2x²+10x+1
=-2(x²-5x+(-5/2)²-(-5/2)²)+1
=-2(x-5/2)²+2×25/4+1
=-2(x-5/2)²+25/2+1
=-2(x-5/2)²+27/2
maximum value of y is 27/2 and is attained at x=5/2
vertex is (5/2,27/2)
