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My name is Ann [436]
3 years ago
6

A) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the

tenth of a meter.
(i) What length of fringe is needed?


(ii) One meter of fringe costs $4.70. How much will the fringe cost?


b) A semicircular mat has a diameter of 18 m. What is the area of the mat?
Mathematics
1 answer:
Andrei [34K]3 years ago
5 0
1) 0.5m . 2 = 1 meter
2) 4.70$
3) (r^2) / 2 = 81/2 = 40.5m^2

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A bacteria culture initially contains 2000 bacteria and doubles every half hour.
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<em>Answer:</em>

<em>Can be found below</em>

<em>Step-by-step explanation:</em>

<em>Part A:</em>

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Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
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Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

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