Solve like an equation,
You need x by itself.
Since x is on the denominator, multiply both sides by x to clear the fraction.
Tan 12 = 10/x
x Tan12 = 10
Divide both sides by Tan12
x = 10/(Tan12)
x = 47
Answer:
480 pennies dated after 2000.
Step-by-step explanation:
1. Pennies dated before 1980 (x) - 25%,
All pennies (1,200) - 100%.
Then
2. Pennies dated from 1980 to 2000 (y) - 35%,
All pennies (1,200) - 100%.
Then
3. Rest pennies are dated after 2000, then
The number of multiple-choice questions is 30.
The number of open-response questions is 6.
<h3>What is an equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 9 is an equation.
We have,
Number of multiple choice questions = M
Number of open response questions = N
We can make two equations.
M + N = 36 _______(1)
3M + 5N = 120 ______(2)
From (1) we get,
M = 36 - N ______(3)
Putting (3) in (2) we get,
3(36 - N) + 5N = 120
108 - 3N + 5N = 120
2N = 120 - 108
2N = 12
N = 6
Now,
Putting N = 6 in (3) we get,
M = 36 - 6
M = 30
Thus,
The number of multiple-choice questions and open-response questions is 30 and 6.
Learn more about equations here:
brainly.com/question/17194269
#SPJ1
Answer:
6, 4, 2, 0
Step-by-step explanation:
To find the first 4 terms, substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 8 - 2(1) = 8 - 2 = 6
a₂ = 8 - 2(2) = 8 - 4 = 4
a₃ = 8 - 2(3) = 8 - 6 = 2
a₄ = 8 - 2(4) = 8 - 8 = 0
The first 4 terms are 6, 4, 2, 0
Answer:
squirrel
Step-by-step explanation:
squirrel
