Here you have two unknowns, so you would need two equations (system of equations). By using w to represent walnuts and c to represent chocolate chips your equations would be 5w + 2c = 10 and 3w + 8c = 23, the coefficients being the amount of pounds of walnuts and chocolate chips and the right hand side of the equations being the total price. From there you can either solve for one variable in terms of the other and plug in to the other equation, or you could subtract one equation from the other ( I personally prefer solving for one variable in terms of the other and then plugging in to the other equation).
Answer:
Center of dilation origin, The scale factor is 4, The dilation mapping is (x, y) → (4x,4y) and The image represents the shape of the triangle.
Step-by-step explanation:
Given Hector is making an art project by cutting and gluing fabric shapes to a wooden board. His design includes two similar triangles, with one 4 times the size of the other. He cuts the smaller fabric triangle and traces it onto grid paper. we have to tell how he can use the tracing to make a pattern for the larger fabric triangle.
Apply the center of dilation origin.
The scale factor is 4
The dilation mapping is (x, y) → (4x,4y)
The image represents the shape of the triangle.
Rhombus’s and stars. That’s what I see.
The square is shown with a side length of 8 inches.
The area of a square is s^2, which can also be written as s x s, where a is the length of the side.
Area of the square would be 8 x 8 = 64 square inches.
The area of a circle is pi x r^2, where r is the radius. R is given as 3 inches.
The area of the circle is 3.14 x 3^2 = 28.26 square inches.
The shaded area is the square minus the circle.
The shaded area = 64 - 28.26 = 25.74 square inches.
The answer is 25.74 square inches.
Answer:
7.35 years
Step-by-step explanation:
Given that :
mean = 8.4
standard deviation = 0.6
From the negative z tables, the corresponding data for 0.04 = -1.75
So, using the z-score formula:
-1.75 × 0.6 = x - 8.4
- 1.05 = x - 8.4
x = -1.05 + 8.4
x = 7.35 years
the shortest lifespan will last less than 7.35 years
∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)
= 9.45 years
