Answer:
The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60
Step-by-step explanation:
Let cost of one yellow shirt be x
and the cost of one purple shirt be y
On Monday
5x + 7y = 165--------------------(1)
On Tuesday
4x + 11y = 213----------------------(2)
To solve (1) and (2)
multiplying eq(1) with 4
20x + 28y = 660--------------------(3)
multiplying eq(2) with 5
20x + 55y = 1056-------------------(4)
Subtracting (3) from (4)
20x + 55y = 1056
20x + 28y = 660
(-)
-----------------------------------
0x +27y = 405
-----------------------------------
y = 15
Substituting y value in eq(1)
5x + 7(15) = 165
5x + 105 =405
5x =405 -105
5x =300
x = \frac{300}{5}
x =60
Answer:
Proof:
By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.
Step-by-step explanation:
Analyze and ensure the answer is correct.
Answer:
Step-by-step explanation:
sinθ = 10/25 = ⅖
θ = arcsin(⅖) = 23.6°
In a pond there are 56 fish.
12 of the fish in the pond are red that means that 44 of the fish are not red.
We can use the fraction to represent the 12 red fish out of all the fish together.
can be reduced by dividing both the numerator and denominator by the greatest common factor of 12 and 56. reduced is .
3 ÷ 14 = 0.21428571428571
0.21428571428571 × 100 = 21.428571428571%
Therefore, 21.428571428571% of the fish are red.
The answer is 5.
God bless & good luck :)