Answer:
The width of rectangle is cm and length is cm.
Step-by-step explanation:
Let,
Width of rectangle = w
Length of rectangle =
Perimeter of rectangle = cm
Perimeter = 2(Length + Width)
Dividing both sides by 4
Width of rectangle =
The width of rectangle is cm and length is cm.
Keywords: rectangle, perimeter
The integers or -3, -2, -1,0, and 1
The number of scented candles ... x
the number of unscented candles ... y
x + y = 28
$16 * x + $10 * y = $400 ... 16 * x + 10 * y = 400
If you would like to know how many scented and how many unscented candles did the shop sell today, you can calculate this using the following steps:
x + y = 28 ... x = 28 - y
16 * x + 10 * y = 400
____________________
16 * (28 - y) + 10 * y = 400
16 * 28 - 16 * y + 10 * y = 400
448 - 400 = 16 * y - 10 * y
48 = 6 * y /6
y = 48 / 6
y = 8
x = 28 - y = 28 - 8 = 20
Result: The candle shop sold 20 scented candles and 8 unscented candles today.
Answer:
g= 6
j = 2
r= 4
Step-by-step explanation:
Gummy bears = $1.50 per pound
Jelly beans = $1.00 per pound
Runt = $1.00 per pound
Total cost of the mixture = $15.00
Let
g = quantity of gummy bears
j = quantity of jelly beans
r = quantity of runts
g + j + r=12 (1)
1.5g + 1.0j + 1.0r = 15 (2)
three times as many gummy bears as jelly beans.
g=3j
Substitute g=3j into 1
g + j + r = 12
3j + j + r =12
4j + r =12 (3)
Substitute g=3j into 2
1.5g + 1.0j + 1.0r = 15
1.5(3j) + 1.0j + 1.0r =15
4.5j + 1.0j + 1.0r = 15
5.5j + 1.0r =15 (4)
4j + r =12 (3)
5.5j + 1.0r =15 (4)
Subtract (3) from (4)
5.5j - 4j = 15-12
1.5j = 3
Divide both sides by 1.5
j = 3/1.5
= 2
j = 2
Substitute j = 2 into (3)
4j + r =12
4(2) + r =12
8 + r = 12
r= 12-8
r= 4
Substitute j=2 and r= 4 into (1)
g + j + r=12
g + 2 + 4 = 12
g + 6 = 12
g = 12-6
=6
g=6
g= 6
j = 2
r= 4
Step-by-step explanation:
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