Solve the problem.A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 90 square feet. He wants the area planted with tomatoes to be more than  of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let  to be planted in tomatoes and  to be planted in cucumbers.

A. x + y = 90
x ? 0.40y
x ? 0
y ? 0
B. x + y ? 90
x > 40y
x ? 0
y ? 0
C. x + y ? 90
x > 0.40y
x ? 0
y ? 0
D. x + y ? 90
x < 0.40y
x ? 0
y ? 0


Answer: C

Mathematics

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Provide an appropriate response. Find the distance between the points (5, -1) and (9, 2).

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Translate the sentence to an algebraic inequality.The number of people at a concert is not to exceed 2754.

A. x < 2754 B. x > 2754 C. x ? 2754 D. x ? 2754

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What will be an ideal response?

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Solve the problem.A school library has $3000 to spend on new books among the four categories of biology, chemistry, physics, and mathematics. If the amount spent on biology books is to be the same as the amount spent on chemistry books and if the amount spent on mathematics books is to be the same as the total spent on chemistry and physics books, how can the money be distributed among the four types of books? (Let x denote the amount spent on biology books, y the amount spent on chemistry books, z the amount spent on physics books, and w the amount spent on mathematics books. Let all amounts be in dollars, and let w be the parameter.)

A. = 3000 - w, y = 3000 - w, z = 2w - 3000
B. = 3000 - 3w, y = 3000 - 3w, z = 4w - 3000
C. = 3000 - 2w, y = 3000 - 2w, z = 3w - 3000
D. = 3000 + w, y = 3000 + w, z = w - 3000

Mathematics