There are 16 red counters there.
<h3>Fractions and proportions</h3>
If one-quarter of the counters in a tub are red and the rest are green, then there are three-quarter of the counter in the tub.
Let the total counter be x such that
3/4x = 48
3x = 4 * 48
x = 4 * 16
x = 64
Determine the amount of red counter
Red counter = 64 - 48
Red counter = 16
Hence there are 16 red counters there.
Learn more on proportion here; brainly.com/question/1496357
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Answer:
The value of the bond when Tyler's mom purchased it was $150
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem
r=4%=4/100=0.04
b=1+0.04=1.04
substitute
where
x is the number of years since the savings bond was purchased
f(x) is the value of the savings bond
For x=1
f(x)=$156
substitute
Solve for a
therefore
The value of the bond when Tyler's mom purchased it was $150
Answer:
90° + (γ/2)
Step-by-step explanation:
The angles in ΔADB have a sum of 180°, so ...
(A/2) +(B/2) + ∠ADB = 180°
and so do the angles of ΔABC:
A + B + γ = 180°
Dividing this second equation by 2 gives an expression for (A/2) +(B/2) that we can substitute into the first equation:
A/2 +B/2 +γ/2 = 90°
A/2 +B/2 = 90° -γ/2
Putting this in the first equation, we have ...
(90° -γ/2) + ∠ADB = 180°
∠ADB = 90° +γ/2 . . . . . . . . . . add (γ/2 -90°)
If a=0, then the denominator is equal to 0. Since you cannot divide by zero, you are not allowed to do this.
