Reference no: EM13535654
1. The length of a rectangle is 1 in. more than twice its width. If the perimeter of the rectangle is 26 in., find the width of the rectangle.
A) 4 in. B) 5 in. C) 6 in. D) 3 in.
7. One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
A) 17 B) 5 C) 34 D) 7
9. True or False: (–3, –2, 1) is a solution to the equation 3x + y – 3z = –13.
12. True or False: Geometrically, a consistent linear system of three equations in three variables can be seen as three parallel planes.
13. True or False: Geometrically, an inconsistent linear system of three equations in three variables can be seen as three planes intersecting at a point.
20. Graph the solution set of the linear inequality.
24. Carla's Coffee Company mixes two blends of coffee. Blend 1 is made by mixing 4 scoops of Arabica beans and 8 scoops of Brazilian beans. Blend 2 uses 10 scoops of Arabica beans and 6 scoops of Brazilian beans. There are 160 scoops of Arabica beans and 180 scoops of Brazilian beans available for today's mixing. Draw a graph of the feasible region, given these conditions, where x is the amount of Blend 1 mixed and y is the amount of Blend 2 mixed.
25. Miu‘s House Painting offers two levels of basic room painting jobs. The Standard job requires 8 hr of labor and 10 gal of paint per room. The Deluxe job takes 12 hr of labor and 6 gal of paint per room. Miu has a maximum of 960 hr of labor and 600 gal of paint available. Draw a graph of the feasible region, given these conditions, where x is the number of Standard painting jobs and y is the number of Deluxe jobs.
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What is the minimum required annual saveings in labor from
: If the service life is just five years, instead of six years, what is the minimum required annual savings in lavore for the firm to realize a 10% return on investment?
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Determine the approximate dimensions of each carbon
: A two-bed carbon adsorption system is to be designed to handle 8000 acfm of air containing 700 ppm of hexane. Laboratory studies indicate that carbon can adsorb 8lb hexane per 100 lb carbon under the conditions at which the system will be operated.
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How much natural gas is needed to incinerate this gas
: The preheaded waste gas stream of 4,000 ACFM is entering a thermal oxidizer. The waste gas stream temperature is 1000 F. How much natural gas is needed to incinerate this gas stream at a temperature of 1500F?
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Solve by using the quadratic formula
: Solve by using the quadratic formula. 5x2 – 4x + 1 = 0
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Draw a graph of the feasible region
: Carla's Coffee Company mixes two blends of coffee. Blend 1 is made by mixing 4 scoops of Arabica beans and 8 scoops of Brazilian beans. Blend 2 uses 10 scoops of Arabica beans and 6 scoops of Brazilian beans.
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Find the number of miles in each route
: Carol sells two types of PC monitors. She sold a total of 14 monitors last month. One model sells for $280 and the other sells for $435. If the total sales for the 14 monitors was $5,160, determine the number of each type of monitor she sold.
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Write a system of inequalities representing
: Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe ..
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Find the cost of a chocolate bar and the cost of a pack
: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
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How many children attended the play
: The perimeter of a triangle is 72 inches. If side a is twice the length of side b and and the longest side, c, is equal to the sum of lengths of sides a and b, find the measure of each side.
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