Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)
Total yogurts is 27, therefore
S + M + L = 27
Total revenue generated is $98, therefore
2S + 3M +5L = 98
There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5
These three equations may be written as the matrix equation
[ 1 1 1 | |S| |27|
| 2 3 5 | |M| = |98|
| -1 0 1 | |L| | 5|
The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.
Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
= 7
M = -[(98-25) - 27(2+5) + (10+98)]
= 8
L = -[15 - (10+98) + 27(3)]
= 12
Answer: 7 small, 8 medium, 12 large yogurts.
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
Given the equation p = 3(s + 100)/4
Where,
p = profit made
s = sales
Solving for s from the given equation
p = 3(s + 100)/4
Multiply both sides by 4
4p = 3(s + 100)
4p = 3s + 300
Subtract 300 from both sides of the equation
4p – 300 = 3s
Same as, 3s = 4p – 300
s = (4p – 300)/3
OR, s = 4p/3 – 100
If any of these two is in the options, it’s the right answer.
For the answer to the question above
Retail price of steel-belted radial tire = $89.50
Discount offered = 10% = $8.95
Value before federal tax = $89.50 - $8.95 = $80.55
Federal tax = 12%=$80.55(0.12) =$9.67
Local sales tax = 5% =$80.55(0.05)=$4.03
Selling price = $80.55 +$9.67+$4.03 =$94.25
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
