Answer:
Step-by-step explanation:
(When c=the amount of caffeine and p=the amount of pepsi)
c = 3p
The unit rate is 3 mg of caffeine per oz of pepsi
2x+5=11
2 times x and 5 is 11.
Answer:
Distributive property is applied between step 1 and 2
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
x=12 and y=4.3
Step-by-step explanation:
Given the sides of quadrilateral that are O N = 8 x − 8 , L M = 7 x + 4 , N M = x − 5 , and O L = 3 y − 6. we have to find the value of x and y so that LMNO be a parallelogram.
we know opposite sides of parallelogram are equal.
Hence, we have to find the value of x and y such that opposite sides becomes equal which implies LMNO is a parallelogram.
Equating opposite sides equal, we get
8x-8=7x+4 ⇒ 8x-7x=8+4=12 ⇒ x=12
implies, NM=x-5=12-5=7
NM=OL ⇒ 3y-6=7 ⇒ 3y=13 ⇒ y=4.3
Hence, x=12 and y=4.3