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Math Knowledge

Solve for b:
-5b - 3 = \( \frac{b}{-3} \)

-\(\frac{9}{14}\)

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-5b - 3 = \( \frac{b}{-3} \)
-3 x (-5b - 3) = b
(-3 x -5b) + (-3 x -3) = b
15b + 9 = b
15b + 9 - b = 0
15b - b = -9
14b = -9
b = \( \frac{-9}{14} \)
b = -\(\frac{9}{14}\)

General Science

__________ is caused by a lack of Vitamin C.

scurvy

Scurvy is a difficiency disease caused by a lack of Vitamin C in the diet.

Word Knowledge

Jonah regretted entangling Parker in his legal difficulties.

embroil

To involve in trouble.

Shop Information

This tool is a(n) __________.

chisel

A chisel has a long sharp edge and is used, often in conjunction with a hammer, for cutting. In woodworking, chisels are used to remove large sections of wood to create the initial shape of a design. In metalworking, chisels are used to remove waste metal when a smooth finish is not required.

General Science

In the food chain, consumers are classified as which of the following?

all of these

Most animals consume other organisms to survive. Consumers (heterotrophs) are divided into three types, primary, secondary, and tertiary, based on their place in the food chain.

Arithmetic Reasoning

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 25 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

If the guard hits 60% of his shots and takes 25 shots he'll make:

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{60}{100} \) = \( \frac{60 x 25}{100} \) = \( \frac{1500}{100} \) = 15 shots

The center makes 50% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{15}{\frac{50}{100}} \) = 15 x \( \frac{100}{50} \) = \( \frac{15 x 100}{50} \) = \( \frac{1500}{50} \) = 30 shots

to make the same number of shots as the guard and thus score the same number of points.

Word Knowledge

Consuela's friends called her an aesthete when she claimed that Monet's paintings made her cry.

connoisseur

Person having or affecting sensitivity to beauty.

General Science

Which of these digestive enzymes is not produced by the pancreas?

gastric acid

The acids produced by the pancreas contain several enzymes that aid in digestion. Lipase converts fat to glycerol and fatty acids. Pancreatic amylase breaks down complex carbohydrates into simple sugars. Trypsin converts polypeptides (the building blocks of protein) into amino acids.

Word Knowledge

Sari embellished the plain curtains with satin ribbons and tassels.

adorn

To decorate.

Shop Information

You're constructing a cabinet in your workshop and one of the cabinet doors is slightly too big. Which of the following tools would you use to make it fit?

plane

In wooodworking, a plane is used to shave off a small amount of material to smooth a surface or make it fit properly. A jack plane is a general purpose plane that contains an adjustable depth blade set at an angle with a handle and knob to allow gripping when sliding the plane across wood.