17.09.2020

Let R be the relation defined on a set of positive integers such that for all x and y elements of integers then xRy if and only if x+ y is an even number. Prove that R is an equivalence relation

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Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

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Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

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The total nom of code that can be used is equal to 5+3 = 8

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

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Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

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F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

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The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height. Round your answer to the nearest whole number.

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Mathematics

Determine the area of a rectangle with length of 12.4 cm and a width of 8.8 cm.

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Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics

The gymnasium at Audubon middle school is 5/6 the height of a 30-foot-tall building that is next to the gymnasium what is the height (h) in feet of the gymnasium

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Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics

If a cylinder has a height of 7 inches and a volume of 2908.33 whats the radius

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Let R be the relation defined on a set of positive integers such that for all x and y elements of integers then xRy if and only if x+ y is an even number. Prove that R is an equivalence relation

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