What is the cost of 2 kilograms of flour if 3 kilograms cost $4.86 and the unit price for each package of flour is the same? (A)$0.81 (B) $2.86 (C)$3.24 (D) $9.72

Working together, 9 friends pick $23 \frac{2}{5}$ bags of apples at an orchard. They divide the bags of apples equally between them, How many bags does each friend get? (A) $32 \frac{2}{5}$ bags (B) $14 \frac{2}{5}$ bags (C) $2 \frac{3}{5}$ bags (D) $2 \frac{5}{9}$ bags

The vertices A, B, and C of a triangle in $\mathbb{R}^{3}$ are given. Find the lengths of the sides of the triangle and determine whether it is a right triangle, an isosceles triangle, both, or neither.

$$A(1,1,1), B(3,3,2), C(3,-3,5)$$

A refreshment stand makes 2 large servings of frozen yogurt from 3 pints. Add the line to the graph and write its equation.

Identify each of the following as a physical change or a chemical change, and give reasons for your answer. (a) water droplets forming on the bathroom mirror (b) grinding wheat into flour (c) toasting marshmallows (d) making a peanut butter and jelly sandwich (e) lighting a Bunsen burner (f) dissolving sugar in tea (g) beating a raw egg until it is creamy

On a recent day, 8 euros were worth $9 and 24 euros were worth$27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. where y is dollars and x is euros

The table shows the amount of money Tyler earns for mowing lawns. Is the relationship a proportional relationship? Why or why not? $$ \begin{matrix} \text{Number of}\\ \text{Lawns} & \text{1} & \text{2} & \text{3} & \text{4}\\ \text{Amount}\\ \mathrm{Earned ($)} & \text{15} & \text{30} & \text{48} & \text{64}\\ \end{matrix} $$

Suppose f is a linear function with f(2) = 5 and f(6) = -1. Describe how you can find the slope of the graph of f.

Eliminate the parameter t from the parametric equations x = (v0 cos θ)t and y = h + (v0 sinθ)t - 16t^2 for the motion of a projectile to show that the rectangular equation is

$$y=-16sec^2θ/v0^2 x^2+(tanθ)x+h$$

Find the unit rate. Round to the nearest hundredth, if necessary:14 lb for $2.99.

Find each unit rate. Round to the nearest hundredth, if necessary : $140 for 18 ft².

State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation.

$$y=3cos(x+3)-2$$

Explain geometrically why

$$\langle 1,1,1 \rangle \times \mathbf { X } = \langle 1,0,0 \rangle$$

has no solution, where

$$\mathbf { X } = \langle x , y , z \rangle.$$

Which equation has a solution of -4? a. 5(n + 2) = 10 b.1/5(n+ 2) = 10 c. -5(n + 2) = 10 d.-1/5(n+ 2) = 10