Answer:
A=60, B=80, and C=67
Step by step explanation:
B= 2a
C= a+27
With the information, you get the equation:
A+A+27+2A=187
Then, you have to simplify.
You then get 4a+27=187.
Now, you subtract 27 from both sides to get: 4a=60.
Divide both sides by 4 to get A= 60.
If A=60, 2A=80, so B=80. A+27=67, so C=67.
You check this by adding them up to see if they equal to 187, which in fact, they do.
A=60, B=80, and C=67.
Hope this helped!
Answer:
part a: she borrowed 3,700
part b: she would pay 555 interest
Step-by-step explanation:
Answer:
The equation is:

Or, what is equivalent:

Explanation:
This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:
Lemon juice (mL) Sugar (g)
Batch A 500 200
Batch B 750 300
Batch C 1500 600
You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.
Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.
- Batch A: lemon juice / sugar = 500 / 200 = 5/2
- Batch B: lemon juice / sugar = 750/300 = 5/2
- Batch C: lemon juice / sugar = 1500/600 = 5/2
Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

Or, what is equivalent (solving for j):

Answer:
Given that the events A and B are mutually exclusive.
P(A) = 0.1
P(B) = 0.4
Mutually Exclusive Events: When two events are Mutually Exclusive it is impossible for them to happen together i.e
If A and B are two events then; P(A and B) = 0
then;
P(A or B) = P(A) +P(B)
By the definition of mutually exclusive events;
P(A or B) = P(A) +P(B) ......[1]
Substitute the values of P(A) = 0.1 and P(B) = 0.4 in [1] we have;
P(A or B) = P(A) +P(B) = 0.1+0.4 = 0.5