Answer:
The price of the jacket was $31.43
Step-by-step explanation:
Let the cost of a jacket = x
Let the cost of a pair of pants = y
Such that,
x + y = $66.12.........Equation 1.
From the conditional statement,
x = y - $3.26..........Equation 2.
Solve both equations simultaneously, using the substitution method
From Equation 2;
x = y - 3.26
Substitute y - 3.26 for x in Equation 1.
x + y = 66.12, now becomes,
y - 3.26 + y = 66.12
collect like terms
y + y = 66.12 + 3.26
2y = 69.36
y= 69.36/2 = $34.69.
Put y = $34.69 in Equation 2. to obtain x
x = 34.69 - 3.26
x = $31.43
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:
Step-by-step explanation:
<u>Area Of Compound Regions</u>
When a surface has no regular shape, it can be usually divided into smaller regular parts and add their areas. The surface shown in the figure can be split into 3 smaller rectangles (please refer to the image below).
The area of the yellow part is
The pink region has a height h=4 yd - 3 yd = 1 yd
The area of the pink region is
The total area is
Answer:
u > - 7
Step-by-step explanation:
7u - 32 < - 3(6-3u)
7u - 32 < - 18 + 9u
18-32 < - 7u + 9u
-14 < 2u
2u > - 14
u > - 7
Given:
A person on a moving sidewalk travels 24 feet the in 7 seconds.
The moving side walk has a length of 180 feet.
To find:
Time taken by the person to move from one end to the other.
Solution:
A person on a moving sidewalk travels 24feet the in 7 seconds.
The speed of the person is
The moving side walk has a length of 180 feet.
Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.
