Shannon is collecting art supplies. She has 48 crayons, 24 markers, and 16 stickers. She divided the crayons into 8 equal groups, the markers into 6 equal groups, and the stickers into 4 equal groups. She promised her brother that he could have one group from each type of art supplies. How many art supplies does her brother get?

Evaluate each expression.

$$\left(\begin{array}{l}{7} \\ {5}\end{array}\right)$$

Dominic ordered 210 pens. He divided them equally among his 10 friends. One of his friends, Benjamin, already had 27 pens. Then, Benjamin gave 14 of his pens to Peyton. How many pens does Benjamin have?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. It’s not realistic to convert 500 mg to g because measurements should not involve fractional units.

Let $\left(\mathrm{A}, \mathscr{R}_{11}\right), \left(\mathrm{B}, \mathscr{R}_{2}\right)$ be two posets. On $\mathrm{A} \times \mathrm{B},$ define relation $\mathscr{R}$ by (a, b) $\mathscr{R}$ (x, y) if a $\mathscr{R}_{1} x$ and b $\mathscr{R}_{2} y.$ Prove that $\mathscr{R}$ is a partial order.

A stained glass window has an area of 900 square inches. a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window? b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?

Express $1 + 2 + 2 ^ { 2 } + 2 ^ { 3 } + 2 ^ { 4 } + 2 ^ { 5 }$ in sigma notation with (a) $j = 0$ as the lower limit of summation (b) $j = 1$ as the lower limit of summation (c) $j = 2$ as the lower limit of summation.

Identify the major difference in the interpretations of the New Deal offered by Degler and Brinkley.

Commonwealth Edison Company supplies electricity to residential customers for a monthly customer charge of $11.47 plus 11 cents per kilowatt-hour for up to 600 kilowatt-hours. What is the monthly charge for using 500 kilowatt-hours?

What would happen to the locations of a bowling alley’s demand and supply curves if the Social Security rate of taxation was increased from 7.65 percent to 9.0 percent for both workers and employers? What would happen to the equilibrium price per game of bowling?

By far, _____ is the most common type of water on Earth.

Find equations of the planes satisfying the given conditions. Passing through $(0, 2, -3)$ and normal to the vector $4\textbf{i} -\textbf{j} - 2\textbf{k}$

Solve problem by answering the question. Latisha noticed that she has the same number of nickels, dimes, quarters, and half-dollars in her drawer. The coins total $12.60. a) How many of each coin does she have? b) The nickels and dimes total what amount? c) The quarters and half-dollars total what amount?

Two coins are flipped. You win $2 if either 2 heads or 2 tails turn up; you lose$3 if a head and a tail turn up. What is the expected value of the game?