Answer: x=4 and BC=20
STEPS:
Set the equation for AC and DF equal to each other then solve for x.
2x+7=5x-5
Eliminate the -5 by adding it to both sides.
2x+12=5x
Move the x to one side by subtracting 2x from both sides.
12=3x
Isolate the x by dividing both sides by 3
4=x
EF=5x which means BC=5x
5(4)= 20
So BC= 20
Answer: See below
Step-by-step explanation:
<u>Let A represent</u> an adult who visited a therapist
<u>Let B represent</u> an adult who used a non-prescription antidepressant
<u>Given:</u>
P(A) = 0.28 P
P (B) = 0.43
P(A Intersection B) = 0.22
a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27
P(B | A) = 0.79 or 79%
b) P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3
P(A | B) = 0.51 or 51%
1 kg = 1000g
1 bag = 3500g
4 bags = 14000g or 14 kg
4 batches of muffins = 1.9g or .0019kg
5 loaves of bread = 3.25kg
.0019 + 3.25 = 3.2519kg
14 - 3.2519 = 10.7481kg
their are 10.7481kg of flour left