Use an algebraic equation to find a solution.A chemist needs 140 milliliters of a 52% solution but has only 28% and 56% solutions available. How many milliliters of each should be mixed to get the desired solution?

A. 120 ml of 28%; 20 ml of 56%
B. 110 ml of 28%; 30 ml of 56%
C. 30 ml of 28%; 110 ml of 56%
D. 20 ml of 28%; 120 ml of 56%


Answer: D

Mathematics

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Find the slope of the line and sketch the graph.2x + 5y = 24

A. m = - 

B. m = 

C. m = - 

D. m = 

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Solve.A rectangular garden has vegetables planted in a 36-ft by 21-ft area. The vegetables are surrounded by a 2-ft border of flowers. By what percent is the area for planting vegetables increased if the 2-ft border of flowers is removed?

A. 32.3% B. 33.4% C. 11.5% D. 12.6%

Mathematics

Solve the problem.Michael decides to walk to the mall to do some errands. He leaves home, walks 2 blocks in 10 minutes at a constant speed, and realizes that he forgot his wallet at home. So Michael runs back in 6 minutes. At home, it takes him 3 minutes to find his wallet and close the door. Michael walks 2 blocks in 10 minutes and then decides to jog to the mall. It takes him 8 minutes to get to the mall which is 3 blocks away. Draw a graph of Michael's distance from home (in blocks) as a function of time.  

What will be an ideal response?

Mathematics

Write in standard form the equation of the parabola. Then identify the vertex.x = -3y2 - 54y - 67

A. -3(y )2 + 176; (176, -9)
B. -3(y + 9)2 + 14; (14, -9)
C. -3(y + 9)2 - 148; ( -9, -148)
D. -3(y + 9)2 - 310; (-310, -9)

Mathematics