Let G = {a + b/2|a, b € Z}. Show that G is a group under ordinary addition.

Q: 3.) A local school is planning a field trip to see a play. They must pay $100 to the bus driver, and…

A: Given that, A local school is planning a field trip to see a play. They must pay $100 to the bus…

Q: process to solve each problem. 1. Tara has 15 state quarters and 10 silver dollars in her coin…

A: We have to find the how many silver dollars did Tara's dad give her.

Q: Solve by the substitution method.   x - y = 6 7x + 6 y = -62     What is the solution of the​…

A:

Q: Solve the system of equations. 9) S-x +8y = -8 6x - 48y %3D 1 = %3D

A:

Q: Jeremy spent of his money on 2 notebooks and 10 pens. The cost of each pen - the cost of each…

A:

Q: 20. A prep school gives both private lessons and group lessons. Private lessons all are one price,…

A:

Q: 7. Allison burns 15 calories per minute on the elliptical and 12 calories per minute on the…

A:

Q: Solve the system of inequalities by graphing. yx - 1 a) O b) c) d) 21

A: First plot two lines : y=-x+3y=x-1

Q: 2. Sumaya is reading a book with 240 pages. She has already read 90 pages. She plans to read 20 more…

A: Subtract the number of pages already read from the total number of pages, to determine the number of…

Q: Solve using Polya's four step approach (Justify the answer using words, numbers, symbols, sentences,…

A: it is given that, Jema has P1850 in P20, P50 and P100 bills. She has twice as many P100 bills as P20…

Q: Q1                                      GDP is:   the sum of all currency and coins in…

A: This is a question of Mathematical Economics and its calculation towards GDP.

Q: 8. Tickets for a concert are $7 for adults and $4.50 for students. There have been 575 tickets sold…

A: Tickets for a concert are $7 for adults and $4.50 for students. There have been 575 tickets sold for…

Q: 1. Solve the system of equation by elimination. y = x +3 3x + 2y = -4

A: We can solve this by first converting it into a more reducible form by rewriting these equations and…

Q: Q: Solve the foll owing systems of equations by using the using the method of substitution. 3x - 5y…

A:

Q: A bank teller has a total of 73   bills in​ five-, ten-, and​ twenty-dollar denominations. The…

A: Given - A bank teller has a total of 73 bills in​ five-, ten-, and​ twenty-dollar denominations. The…

Q: 10. Solve each problem. Hint: Begin by defining the variables. Next, create 2 equations. Last,…

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Q: John wants to buy his first car by the end of this year. For that, he asked his relatives to gift…

A: First he should meet his mother, so now he got $ 2500.

Q: Jack and Jill are selling snacks to raise money for their school's SGA. • For every candy bar sold,…

A: Solution

Q: Write the following sentences into equation. Example: Four times a number results to 20. Answer: 4x…

A: 1. Thrice the sum of a number and 10 is not more than 15. Let x be the number. Then the equation is,…

Q: 4. A retailer imports a crate of sunglasses for $3800, There are x amount of pairs of glasses in the…

A: A retailer imports a crate of sunglasses for $3800. There are x amount of pairs of glasses in the…

Q: 19. To rent a car from The Car Rental Place Juan must pay $20 plus an additional $1.50 per mile that…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.