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MrRa [10]
3 years ago
5

Match each point with one of the following rational number:

Mathematics
2 answers:
castortr0y [4]3 years ago
8 0
A = -0.7
B = -9/16 (0.5623)
C = -0.4
D = -5/16 (0.3125)

The last option is correct 
Alinara [238K]3 years ago
7 0

Answer:

Option D) is the correct option.

Step-by-step explanation:

We are given the following information in the question:

A number line is shown in the figure. When observed we can make the following observations:

  1. A, B, C and D lies between -1 and 0.
  2. Point A and B lies between -1 and 0.5
  3. Point C and D lies between -0.5 and 0
  4. Hence, A and B must have a negative value lying between -1 and 0.5
  5. Hence, C and D must have a negative value lying between -0.5 and 0.

A) Incorrect representation.

C cannot have a value smaller than -0.5

B) Incorrect representation.

D is positive but should have a negative value.

C) Incorrect representation.

A is positive but should have a negative value value.

D) Correct representation.

A = -0.7, B = -\displaystyle\frac{9}{16} = -0.5625, C = -0.4, D = -\frac{5}{16} = -0.3125

Option D) is the correct option.

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Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as hi
umka2103 [35]

Answer:

The factory should produce 166 pairs of high-grade shoes and 364 pairs of low-grade shoes for maximum profit

Step-by-step explanation:

The given parameters for the shoe production are;

The number of low grade shoes the factory produces ≥ 2 × The number of high-grade shoes produced by the factory

The maximum number of shoes the factory can produce = 500 pairs of shoes

The number of high-grade shoes the dealer calls for daily ≥ 100 pairs

The profit made per pair of high-grade shoed = Birr 2.00

The profit made per of low-grade shoes = Birr 1.00

Let 'H', represent the number of high grade shoes the factory produces and let 'L' represent he number of low-grade shoes the factory produces, we have;

L ≥ 2·H...(1)

L + H ≤ 500...(2)

H ≥ 100...(3)

Total profit, P = 2·H + L

From inequalities (1) and (2), we have;

3·H ≤ 500

H ≤ 500/3 ≈ 166

The maximum number of high-grade shoes that can be produced, H ≤ 166

Therefore, for maximum profit, the factory should produce the maximum number of high-grade shoe pairs, H = 166 pairs

The number of pairs of low grade shoes the factory should produce, L = 500 - 166 = 334 pairs

The maximum profit, P = 2 × 166 + 1 × 364 = 696

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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This is a screen shot of an online calculator called mathportal.com it shows the work used to find the answer to this question

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