Answer:
Each hat is $5
Each mask is $3
Step-by-step explanation:
Hat= x dollars
Mask= y dollars
Now,
3 hats and 4 mask sold = $27
We can write
3x + 4y = 27
Adding the second equation (-1 times 1st equation) gives us;
3x + 6y = 33
-1* (3x + 4y = 27)
3x + 6y = 33
-3x -4y = 27
2y = 6
y = 6/2
***y = 3***
Now we replace y= 3 into 1st equation and solve for x:
3x + 4y = 27
3x + 4(3) = 27
3x + 12 = 27
3x + 15
x = 15/3
***x= 5***
Each hat costs $5
Each mask costs $3
Answer:
x = 8
Step-by-step explanation:
All sides are equal in terms of symmetry, such as the 5 and 5 opposite the angle 120 that repeats itself at the centre 3 times
Answer:
B. (3, –1)
Step-by-step explanation:
Reflection in the line y=-x is described by the transformation ...
(x, y) ⇒ (-y, -x)
Then the point of interest becomes ...
F(1, -3) ⇒ F'(3, -1) . . . . matches choice B
Answer:
Step-by-step explanation:
Remark
Let the shorter base = x
Let the longer base = 3x
h = 5
Area = 60
Formula
Area = (b1 + b2)*h /2
Solution
60 = (x + 3x)*5 / 2 Multiply both sides by 2
2*60 = (x + 3x)*5 Combine like terms
120 = 4x *5
120 = 20x Divide by 20
120/20 = x
x = 6
Therefore the two bases are
x = 6
3x = 18