<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
- The first coin is a quarter.
- The second, third, fourth, and fifth coins are dimes.
- The sixth, seventh, and eighth coins are nickels.
That being said, what is the total value of the cents?
cents = ¢
<u>Values:</u>
Quarter = 25 ¢
Dime = 10 ¢
Nickel = 5 ¢
So,
1 quarter + 4 dimes + 3 nickels = total cents
25 + 10 + 10 + 10 + 10 + 5 + 5 + 5 = total cents
25 + 40 + 5 + 5 + 5 = total cents
25 + 40 + 15 = total cents
25 + 55 = total cents
80 = total cents
<h3><em>Our answer is 80¢</em></h3><h3><em /></h3>
I hope this helps!
- sincerelynini
System of Equations
Let:
x = number of people that can be seated at a table
y = number of people that can be seated at a booth
The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:
23x + 10y = 228
The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:
12x + 12y = 180
The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.
Multiply the first equation by 12:
276x + 120y = 2736
Multiply the second equation by -23:
-276x - 276y = -4140
Add the last two equations (the variable x cancels out):
120y - 276y = 2736 - 4140
Simplifying:
-156y = -1404
Dividing by -156:
y = -1404/(-156)
y = 9
Substitute this value in the first equation:
23x + 10(9) = 228
Operate:
23x + 90 = 228
Subtract 90:
23x = 138
Divide by 23:
x = 138/23
x = 6
Every table can seat 6 people, and every booth can seat 9 people
Answer:
It would be 63
Step-by-step explanation:
This is because 9 x 7 = 63
Simple math.
Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
