Write the converse, inverse and contrapositive of the statement: "If it is raining outside, then I will take an umbrella." Identify which statements are logically equivalent.
The following data was collected at a local coffee shop. 120 customers were asked if they like coffee and chocolate. The results are in the table below.
A nutrition label states that a serving of cereal contains 25% of the recommended daily value of iron. If the daily recommended intake of iron is 18 mg, how much is in one serving of cereal.
A line of coats were marked up by 250% and then placed on sale for 30% off. If the owner of the store purchased the jackets wholesale for $70 each, find the sale price and the combined relative change from the wholesale price.
A 5-gallon container of paint says it will cover 1,750 square feet in one coat. How many gallons of paint would you need to cover 3,200 square feet per coat?
Use the problem solving process with a combination of operations, unit conversions and/or geometric formulas to solve the problem. Document your steps and thinking.
You are planning to have your bathroom floor tiled with 8 inch by 8 inch tiles, that cost $17.54 per box of 12 tiles. The tiled area is approximately 8 feet by 10 feet and the tiler charges a base fee of $100 and $12 per square foot. The grout and other materials are estimated at $10 per square foot. About how much will the project cost? Add 10% to the number of tiles for partial tiles needed.
One stick of butter is 8 tablespoons or half a cup. Your cookie recipe calls for one cup of butter to make 3 dozen cookies. You want to make 10 dozen cookies for a cookie exchange party. In your fridge you have 1 1⁄2 sticks of butter. Butter is sold for $4.29 per pound which is 4 sticks. How many sticks of butter do you need? How many pounds of butter should you buy and how much will it cost? How much will you have left over?
A pediatrician prescribes 15 mg/kg/day of a liquid medication to be given in three equal doses. If the child weighs 44 pounds and the medication concentration is 10 mg/mL, how many milliliters should be given per dose? If the parent lost the dropper and only has a set of teaspoons, how much should they give in each dose? (1T=15ml)
You just got a circular above ground pool with a 15-foot diameter and a height of 48 inches. You want to know the cost of the water to fill it up to 6 inches from the top and how much chlorine to put in. The package says to use two 3-inch tablets per 10,000 gallons of water. City of Portland water is measured and billed at a rate of $7.559 per 100 cubic feet(ccf). One ccf is 748 gallons.
