Perimeter is the sum of all sides of a polygon. For this case, the perimeter is expressed as: P=a+b+c. It has been said that the longest side is twice that of the shortest side. Let's assume that a is the longest side and b is the shortest side. So, the equation for the shortest side is,
6.2 = 2c
c = 3.1
14.5 = 6.2 + 3.1 + b
14.5 = 9.3 +b
Answer:
a) y = 
b) x = 4
Step-by-step explanation:
a) 
3y + 2 = 20y - 5
2 = 20y - 3y - 5
2 = 17y - 5
2 + 5 = 17y
7 = 17y
y =
b) x² + 5 = 21
x² = 21 - 5
x² = 16
x = √16
x = 4
Hotdogs = $1.00
hamburgers = $1.75
5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y
5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)
checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔
equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
Answer:
b. 12
Step-by-step explanation:
2*2*2*2 - 8* 2 divided by 4= 12
Answer:
b = 20x beads
Step-by-step explanation:
In this question, we will be trying to relate the number of beads to the number of bracelets.
From the question, we can identify that each of the bracelets will have 20 beads. The total number of bracelets to be made is x. This means that the total number of beads to be used can be calculated by multiplying 20 by x = 20x beads. This number is same as b, which is equal to the total number of beads.
Hence, we can say that b = 20x beads
