Answer:
Step-by-step explanation:
S=student cost; T=teacher cost
.
32S+3T=$127 . Multiply this by 2.
64S+6T=$254 Subtract this below
.
25S+2T=$97.50 . Multiply this by 3.
75S+6T=$292.50
64S+6T=$254 . Subtract this (from above.)
.
11S=$38.50
S=$3.50
ANSWER 1: Student tickets cost $3.50.
.
32S+3T=$127
32($3.50)+3T=$127
$112+3T=$127
3T=$15
T=$5.00
ANSWER 2: Teacher tickets cost $5.00.
.
CHECK:
25S+2T=$97.50
25($3.50)+2($5.00)=$97.50
$87.50+$10.00=$97.50
$97.50=$97.50
Answer:
16 cans per minute
Step-by-step explanation:
Its simple 80 divided by 5 is 16 so ever minute 16 cans are packed.
The formula for the radius r in terms of x . and for the maximum areas is x=2/
+4
Given that,
y forms a circle of radius r
y=2
r
r=y/2
(2-y)- forms Square Side x
(2-y) = 4x
x=(2-y)/4
Now Sum of Area's=Area of Square +Area of Circle
Sum =
r² + x²
Substitute the r and x values in above equation,
A(y)= y²/4
+(y-2)²/ 16
To maximize Area A(y)
A'(y)= 0
2y/4
+ 2(y-2)/16 =0
y/2
+ (y-2)/8 =0
y = 2
/
+4
Y max will be max, x to be maximum.
for maximum sum of areas,
x=2/
+4
Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/
+4
Learn more about Area :
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The answer to your question is 7.375