The number of sports books is 13 books.
<h3>What is an equation?</h3>
A mathematical equation is the representation of a problem by the use of variables. Often times, an equation is formed from the factors that are in a problem.
We have to represented each of the books read with an algebraic term;
Let the number of mystery books be y
Let the number of sports books be x
Total number of books = 23
We know that;
x + y = 23
but y = 10
x = 23 - 10
x = 13 books
Learn more about algebra:brainly.com/question/24875240
#SPJ1
Answer:
A = 192
Step-by-step explanation:
r = 16/2 = 8
A = 3x(8)^2
8^2 = 64
A = 3 x 64 = 192
4s+7a=861
s+a=168
This can be solved using either elimination or substitution. I am going to use substitution.
Solve s+a=168 for s
s=168-a
Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861
Solve for a
672+3a=861
3a=189
a=63
Substitute 63 for a in s=168-a
s=168-63=105
So, s=105 student tickets and a=63 adult tickets
You can subtract 4x from each side of the equation.
Then you'll have the variable only on one side.
Before: 5x - 7 = 4x - 1
After: x - 7 = - 1
Now it's a lot easier to solve.
========================================
I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:
Original equation: 5x - 7 = 4x - 1
Subtract 4x from each side: x - 7 = - 1
Add 7 to each side: x = 6
(Once you subtracted 4x from each side,
there really wasn't much more left to do.)
Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
